Quad-Mesh Generation and Processing: A Survey
Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi‐regular ones, have advantages for many applications, an...
Uložené v:
| Vydané v: | Computer graphics forum Ročník 32; číslo 6; s. 51 - 76 |
|---|---|
| Hlavní autori: | , , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Oxford
Blackwell Publishing Ltd
01.09.2013
Wiley |
| Predmet: | |
| ISSN: | 0167-7055, 1467-8659 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi‐regular ones, have advantages for many applications, and significant progress was made in quadrilateral mesh generation and processing during the last several years. In this survey we discuss the advantages and problems of techniques operating on quadrilateral meshes, including surface analysis and mesh quality, simplification, adaptive refinement, alignment with features, parametrisation and remeshing.
Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi‐regular ones, have advantages for many applications, and significant progress was made in quadrilateral mesh generation and processing during the last several years. In this survey we discuss the advantages and problems of techniques operating on quadrilateral meshes, including surface analysis and mesh quality, simplification, adaptive refinement, alignment with features, parametrization, and remeshing. |
|---|---|
| AbstractList | Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi‐regular ones, have advantages for many applications, and significant progress was made in quadrilateral mesh generation and processing during the last several years. In this survey we discuss the advantages and problems of techniques operating on quadrilateral meshes, including surface analysis and mesh quality, simplification, adaptive refinement, alignment with features, parametrisation and remeshing. Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi-regular ones, have advantages for many applications, and significant progress was made in quadrilateral mesh generation and processing during the last several years. In this survey we discuss the advantages and problems of techniques operating on quadrilateral meshes, including surface analysis and mesh quality, simplification, adaptive refinement, alignment with features, parametrisation and remeshing. [PUBLICATION ABSTRACT] Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi-regular ones, have advantages for many applications, and significant progress was made in quadrilateral mesh generation and processing during the last several years. In this survey we discuss the advantages and problems of techniques operating on quadrilateral meshes, including surface analysis and mesh quality, simplification, adaptive refinement, alignment with features, parametrisation and remeshing. Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi-regular ones, have advantages for many applications, and significant progress was made in quadrilateral mesh generation and processing during the last several years. In this survey we discuss the advantages and problems of techniques operating on quadrilateral meshes, including surface analysis and mesh quality, simplification, adaptive refinement, alignment with features, parametrization, and remeshing. Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi‐regular ones, have advantages for many applications, and significant progress was made in quadrilateral mesh generation and processing during the last several years. In this survey we discuss the advantages and problems of techniques operating on quadrilateral meshes, including surface analysis and mesh quality, simplification, adaptive refinement, alignment with features, parametrisation and remeshing. Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral meshes, especially semi‐regular ones, have advantages for many applications, and significant progress was made in quadrilateral mesh generation and processing during the last several years. In this survey we discuss the advantages and problems of techniques operating on quadrilateral meshes, including surface analysis and mesh quality, simplification, adaptive refinement, alignment with features, parametrization, and remeshing. |
| Author | Puppo, Enrico Silva, Claudio Bommes, David Tarini, Marco Lévy, Bruno Pietroni, Nico Zorin, Denis |
| Author_xml | – sequence: 1 givenname: David surname: Bommes fullname: Bommes, David email: david.bommes@inria.fr organization: INRIA Sophia Antipolis - Méditerranée, France – sequence: 2 givenname: Bruno surname: Lévy fullname: Lévy, Bruno email: bruno.levy@inria.fr organization: ALICE/INRIA, France – sequence: 3 givenname: Nico surname: Pietroni fullname: Pietroni, Nico email: nico.pietroni@isti.cnr.it organization: National Research Council, Italy – sequence: 4 givenname: Enrico surname: Puppo fullname: Puppo, Enrico email: puppo@disi.unige.it organization: University of Genova, Italy – sequence: 5 givenname: Claudio surname: Silva fullname: Silva, Claudio email: csilva@nyu.edu organization: Polytechnic Institute of NYU, USA – sequence: 6 givenname: Marco surname: Tarini fullname: Tarini, Marco email: marco.tarini@isti.cnr.it organization: University of Insubria, Italy – sequence: 7 givenname: Denis surname: Zorin fullname: Zorin, Denis email: dzorin@cs.nyu.edu organization: New York University, USA |
| BackLink | https://inria.hal.science/hal-01059755$$DView record in HAL |
| BookMark | eNp1kMtOwzAQRS0EEqWw4A8isYFFih2_EnZVoQVRXmollpbt2sUQkmInhf49KaVFQjCbGY3OHd25e2C7KAsDwCGCHdTUqZ7aDkogIlughQjjccpotg1aEDUzh5Tugr0QniGEhDPaAvFDLSfxjQlP0cAUxsvKlUUki0l070ttQnDF9CzqRqPaz81iH-xYmQdz8N3bYNy_GPcu4-Hd4KrXHcaasJTEaoIxsdJkqZGpShKZWjyRmuoUKwqpooghbjMGbSatQopkyGhtmVKKQQ1xG5yszj7JXMy8e5V-IUrpxGV3KJY7iCDNOKVz1LDHK3bmy7fahEq8uqBNnsvClHUQiJCUI5zwJXr0C30ua180jzQUThBLOOUNdbqitC9D8MYK7aqvWCovXS4QFMukRZO0-Er6x-5Gsfb8F_t9_d3lZvE_KHqD_loRrxQuVOZjo5D-RTCOORWPtwNxjRM2Or8dC4w_AYJemxU |
| CitedBy_id | crossref_primary_10_1016_j_cad_2021_103101 crossref_primary_10_1109_TVCG_2018_2837115 crossref_primary_10_1111_cgf_12426 crossref_primary_10_1145_3476829 crossref_primary_10_1002_cnm_3615 crossref_primary_10_1111_cgf_13888 crossref_primary_10_1109_JIOT_2025_3535812 crossref_primary_10_1145_3528223_3530118 crossref_primary_10_1016_j_cad_2016_07_008 crossref_primary_10_1109_JSTARS_2022_3218767 crossref_primary_10_1109_TAP_2020_3008657 crossref_primary_10_1145_3355089_3356542 crossref_primary_10_1016_j_enganabound_2020_01_003 crossref_primary_10_1145_2601097_2601179 crossref_primary_10_1007_s00366_022_01643_4 crossref_primary_10_1111_cgf_15032 crossref_primary_10_1145_3488006 crossref_primary_10_3390_rs16091630 crossref_primary_10_3390_a17120541 crossref_primary_10_1016_j_cad_2016_07_014 crossref_primary_10_1145_3130800_3130848 crossref_primary_10_1016_j_cad_2016_07_017 crossref_primary_10_1145_3130800_3130845 crossref_primary_10_1016_j_jcp_2022_111578 crossref_primary_10_1111_cgf_14393 crossref_primary_10_1016_j_cagd_2016_09_002 crossref_primary_10_1017_S089006042100007X crossref_primary_10_1016_j_cagd_2018_03_017 crossref_primary_10_1111_cgf_13623 crossref_primary_10_1145_2897824_2925874 crossref_primary_10_1111_cgf_12443 crossref_primary_10_1016_j_proeng_2016_11_047 crossref_primary_10_1145_3450626_3459941 crossref_primary_10_1016_j_cad_2013_09_003 crossref_primary_10_1016_j_gmod_2014_03_009 crossref_primary_10_1145_2816795_2818099 crossref_primary_10_1111_cgf_15132 crossref_primary_10_1007_s11081_018_9405_6 crossref_primary_10_1016_j_cag_2023_03_005 crossref_primary_10_1145_3136954 crossref_primary_10_1089_soro_2023_0148 crossref_primary_10_1111_cgf_13877 crossref_primary_10_1016_j_cagd_2018_03_008 crossref_primary_10_1145_3197517_3201306 crossref_primary_10_1016_j_cag_2018_04_008 crossref_primary_10_1016_j_cagd_2023_102179 crossref_primary_10_1145_3386569_3392378 crossref_primary_10_1016_j_cagd_2018_03_003 crossref_primary_10_1109_TVCG_2019_2947420 crossref_primary_10_1111_cgf_14370 crossref_primary_10_1016_j_jcp_2022_111393 crossref_primary_10_1134_S0965542522080127 crossref_primary_10_1016_j_cag_2022_10_001 crossref_primary_10_1109_TVCG_2019_2938946 crossref_primary_10_1111_cgf_12864 crossref_primary_10_1016_j_cag_2020_02_002 crossref_primary_10_1145_3731176 crossref_primary_10_1145_2710026 crossref_primary_10_1016_j_proeng_2015_10_123 crossref_primary_10_1016_j_proeng_2015_10_121 crossref_primary_10_1145_3306346_3323043 crossref_primary_10_1007_s00366_025_02194_0 crossref_primary_10_1016_j_cag_2021_10_014 crossref_primary_10_1111_cgf_12299 crossref_primary_10_1109_TVCG_2023_3287303 crossref_primary_10_1007_s10237_017_0903_9 crossref_primary_10_1145_3744707 crossref_primary_10_1016_j_camwa_2017_03_001 crossref_primary_10_1145_3386569_3392446 crossref_primary_10_1145_3476576_3476737 crossref_primary_10_1016_j_istruc_2024_107119 crossref_primary_10_1145_3476576_3476738 crossref_primary_10_1111_cgf_12401 crossref_primary_10_1111_cgf_13821 crossref_primary_10_1007_s00366_022_01740_4 crossref_primary_10_1145_2766964 crossref_primary_10_1145_3306346_3322979 crossref_primary_10_1016_j_cma_2020_112980 crossref_primary_10_1016_j_cag_2019_05_012 crossref_primary_10_1145_2843947 crossref_primary_10_1111_cgf_13153 crossref_primary_10_1007_s00366_025_02155_7 crossref_primary_10_1111_cgf_14123 crossref_primary_10_1111_cgf_14365 crossref_primary_10_1111_cgf_14366 crossref_primary_10_1016_j_jcp_2020_109835 crossref_primary_10_1016_j_comgeo_2017_05_007 crossref_primary_10_1145_3306346_3323019 crossref_primary_10_1007_s00170_022_09445_0 crossref_primary_10_1016_j_cag_2023_07_032 crossref_primary_10_1016_j_scico_2021_102728 crossref_primary_10_1016_j_acha_2015_03_005 crossref_primary_10_1016_j_gmod_2024_101229 crossref_primary_10_1111_cgf_13839 crossref_primary_10_1145_3528223_3530145 crossref_primary_10_1145_2816795_2818140 crossref_primary_10_1145_3554920 crossref_primary_10_1145_3072959_3065254 crossref_primary_10_1016_j_cad_2015_07_001 crossref_primary_10_1145_2897824_2925929 crossref_primary_10_1111_cgf_12942 crossref_primary_10_1111_cgf_13922 crossref_primary_10_1016_j_cma_2016_07_005 crossref_primary_10_1145_2766941 crossref_primary_10_1002_cav_1986 crossref_primary_10_3390_rs13030486 crossref_primary_10_1002_nme_7644 crossref_primary_10_1016_j_cad_2013_08_043 crossref_primary_10_1111_cgf_13497 crossref_primary_10_1016_j_cad_2017_11_003 crossref_primary_10_1016_j_cagd_2017_02_003 crossref_primary_10_1111_cgf_13498 crossref_primary_10_1016_j_cag_2024_103910 crossref_primary_10_1111_cgf_14901 crossref_primary_10_1016_j_gmod_2014_08_001 crossref_primary_10_1038_s41598_022_07074_x crossref_primary_10_1145_3072959_3073696 crossref_primary_10_1007_s00366_014_0392_8 crossref_primary_10_1002_nme_7539 crossref_primary_10_1016_j_proeng_2014_10_397 crossref_primary_10_1002_cav_2051 crossref_primary_10_1093_imamat_hxae006 crossref_primary_10_1016_j_cad_2017_11_008 crossref_primary_10_1145_2766921 crossref_primary_10_1145_3731159 crossref_primary_10_1109_TVCG_2017_2744038 crossref_primary_10_1016_j_cma_2023_116442 crossref_primary_10_3390_info14050273 crossref_primary_10_1007_s00366_025_02196_y crossref_primary_10_1016_j_cma_2023_116445 crossref_primary_10_1016_j_cag_2022_06_015 crossref_primary_10_1145_2661229_2661236 crossref_primary_10_1111_cgf_12959 crossref_primary_10_1093_jom_ufac002 crossref_primary_10_1111_cgf_12958 crossref_primary_10_1016_j_jcp_2019_108918 crossref_primary_10_1145_3197517_3201389 crossref_primary_10_1111_cgf_12711 crossref_primary_10_1145_3439828 crossref_primary_10_1145_3450626_3459770 crossref_primary_10_1016_j_comgeo_2022_101978 crossref_primary_10_1016_j_cag_2014_09_022 crossref_primary_10_1145_3072959_3073676 crossref_primary_10_3389_fevo_2022_828006 crossref_primary_10_1007_s00366_024_02096_7 crossref_primary_10_1145_3478513_3480526 crossref_primary_10_1007_s10816_016_9305_z crossref_primary_10_1145_2508363_2508388 crossref_primary_10_1016_j_proeng_2014_10_373 crossref_primary_10_1145_2816795_2818068 crossref_primary_10_1016_j_cad_2015_06_009 crossref_primary_10_1145_2766906 crossref_primary_10_1145_3243651 crossref_primary_10_1145_2661229_2661240 crossref_primary_10_1111_cgf_14779 crossref_primary_10_1111_cgf_13329 crossref_primary_10_1111_cgf_12461 crossref_primary_10_1016_j_cma_2021_114146 crossref_primary_10_3390_app10082743 crossref_primary_10_1145_3072959_3073646 crossref_primary_10_1109_ACCESS_2025_3569330 crossref_primary_10_1007_s00366_024_02007_w crossref_primary_10_1145_2508363_2508372 crossref_primary_10_1007_s00366_014_0387_5 crossref_primary_10_1145_2980179_2982426 crossref_primary_10_1145_2816795_2818078 crossref_primary_10_1016_j_compstruc_2016_05_004 crossref_primary_10_1145_3197517_3201360 crossref_primary_10_1016_j_proeng_2014_10_381 crossref_primary_10_1145_3186265 crossref_primary_10_1016_j_cag_2018_12_009 crossref_primary_10_1145_3197517_3201367 crossref_primary_10_1111_cgf_14423 crossref_primary_10_1016_j_ijsolstr_2019_09_003 crossref_primary_10_1080_10618562_2023_2264198 crossref_primary_10_1109_TVCG_2018_2864827 crossref_primary_10_1145_2897824_2925966 crossref_primary_10_1016_j_proeng_2016_11_053 crossref_primary_10_1016_j_cagd_2018_07_001 crossref_primary_10_1016_j_cma_2015_11_015 crossref_primary_10_1145_3065254 crossref_primary_10_1016_j_cma_2019_07_023 crossref_primary_10_1109_TCSVT_2025_3556130 crossref_primary_10_1145_2601097_2601226 crossref_primary_10_1016_j_cad_2021_103084 crossref_primary_10_1016_j_cag_2019_03_014 crossref_primary_10_1111_cgf_14075 crossref_primary_10_1145_3197517_3201354 crossref_primary_10_1145_3550454_3555503 crossref_primary_10_1145_3730940 crossref_primary_10_1016_j_cad_2019_05_016 crossref_primary_10_1145_3414685_3417790 crossref_primary_10_1145_3600087 crossref_primary_10_1016_j_cag_2017_08_009 crossref_primary_10_1108_EC_03_2019_0114 crossref_primary_10_1111_cgf_13550 crossref_primary_10_1145_3197517_3201344 crossref_primary_10_1111_cgf_13313 crossref_primary_10_1145_3197517_3201347 crossref_primary_10_1111_cgf_142634 crossref_primary_10_1016_j_cag_2018_05_007 crossref_primary_10_1109_TVCG_2014_2307885 crossref_primary_10_1016_j_cagd_2022_102078 crossref_primary_10_1016_j_cma_2022_114678 crossref_primary_10_3390_rs14030664 crossref_primary_10_1016_j_cad_2022_103259 crossref_primary_10_1145_2809785 |
| Cites_doi | 10.1145/777792.777839 10.1007/PL00009475 10.1145/258734.258849 10.1007/978-3-642-04319-2_5 10.1145/1559755.1559758 10.1145/1201775.882275 10.1016/S0168-874X(97)81956-7 10.1109/TIT.1982.1056489 10.1111/j.1467-8659.2007.01060.x 10.1007/978-3-7091-0309-8 10.1007/BF01589116 10.1145/1141911.1141993 10.1007/s00366-008-0091-4 10.1145/1839778.1839797 10.1145/1364901.1364958 10.1145/2185520.2185607 10.1016/j.cagd.2004.09.004 10.1109/TVCG.2011.270 10.1111/j.1467-8659.2009.01519.x 10.1109/PCCGA.2004.1348351 10.1016/j.cag.2011.05.003 10.1109/38.920624 10.1137/S106482759630406X 10.1201/b10688 10.1137/S0036144599352836 10.1111/j.1467-8659.2011.01866.x 10.1016/j.finel.2009.06.024 10.1109/TVCG.2009.96 10.1145/2070781.2024183 10.1145/2070781.2024175 10.1007/s00211-011-0412-1 10.1145/383259.383327 10.1145/2185520.2185604 10.1007/978-3-642-27413-8_12 10.1016/j.gmod.2006.03.004 10.1016/S0045-7825(03)00394-3 10.1109/TVCG.2004.1272731 10.1145/1364901.1364921 10.1145/1356682.1356683 10.1016/j.bjps.2006.06.008 10.1016/j.gmod.2004.06.007 10.1016/j.cag.2009.03.024 10.1145/1015706.1015810 10.1145/1201775.882296 10.1016/S0167-8396(03)00002-5 10.1002/nme.3279 10.1007/3-540-29090-7_24 10.1111/j.1467-8659.2010.01761.x 10.1007/978-3-540-79246-8_1 10.1145/1276377.1276447 10.1145/1183287.1183297 10.1007/978-3-540-33265-7_2 10.1145/1778765.1778856 10.1111/j.1467-8659.2011.01868.x 10.1145/344779.345074 10.1115/1.1884132 10.1016/0010-4485(78)90110-0 10.1145/2024156.2024176 10.1111/j.1467-8659.2012.03173.x 10.1145/1058129.1058131 10.1145/1183287.1183290 10.1007/11802914_29 10.1016/j.cad.2008.01.012 10.1109/TVCG.2011.28 10.1016/S0167-8396(96)00031-3 10.1145/1276377.1276446 10.1145/1944745.1944771 10.1137/040617364 10.1111/j.1467-8659.2009.01610.x 10.1016/S0167-8396(01)00039-5 10.1016/j.autcon.2003.09.008 10.1111/1467-8659.00236 |
| ContentType | Journal Article |
| Copyright | 2013 The Authors Computer Graphics Forum © 2013 The Eurographics Association and John Wiley & Sons Ltd. Copyright © 2013 The Eurographics Association and John Wiley & Sons Ltd. licence_http://creativecommons.org/publicdomain/zero |
| Copyright_xml | – notice: 2013 The Authors Computer Graphics Forum © 2013 The Eurographics Association and John Wiley & Sons Ltd. – notice: Copyright © 2013 The Eurographics Association and John Wiley & Sons Ltd. – notice: licence_http://creativecommons.org/publicdomain/zero |
| DBID | BSCLL AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D F28 FR3 1XC |
| DOI | 10.1111/cgf.12014 |
| DatabaseName | Istex CrossRef Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ANTE: Abstracts in New Technology & Engineering Engineering Research Database Hyper Article en Ligne (HAL) |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional Engineering Research Database ANTE: Abstracts in New Technology & Engineering |
| DatabaseTitleList | CrossRef Computer and Information Systems Abstracts Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Computer Science |
| EISSN | 1467-8659 |
| EndPage | 76 |
| ExternalDocumentID | oai:HAL:hal-01059755v1 3070899701 10_1111_cgf_12014 CGF12014 ark_67375_WNG_K326SDNT_3 |
| Genre | article Feature |
| GroupedDBID | .3N .4S .DC .GA .Y3 05W 0R~ 10A 15B 1OB 1OC 29F 31~ 33P 3SF 4.4 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5GY 5HH 5LA 5VS 66C 6J9 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 8VB 930 A03 AAESR AAEVG AAHQN AAMMB AAMNL AANHP AANLZ AAONW AASGY AAXRX AAYCA AAZKR ABCQN ABCUV ABDBF ABDPE ABEML ABPVW ACAHQ ACBWZ ACCZN ACFBH ACGFS ACPOU ACRPL ACSCC ACUHS ACXBN ACXQS ACYXJ ADBBV ADEOM ADIZJ ADKYN ADMGS ADMLS ADNMO ADOZA ADXAS ADZMN AEFGJ AEGXH AEIGN AEIMD AEMOZ AENEX AEUYR AEYWJ AFBPY AFEBI AFFNX AFFPM AFGKR AFWVQ AFZJQ AGHNM AGQPQ AGXDD AGYGG AHBTC AHEFC AHQJS AIDQK AIDYY AIQQE AITYG AIURR AJXKR AKVCP ALAGY ALMA_UNASSIGNED_HOLDINGS ALVPJ AMBMR AMYDB ARCSS ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BSCLL BY8 CAG COF CS3 CWDTD D-E D-F DCZOG DPXWK DR2 DRFUL DRSTM DU5 EAD EAP EBA EBO EBR EBS EBU EDO EJD EMK EST ESX F00 F01 F04 F5P FEDTE FZ0 G-S G.N GODZA H.T H.X HF~ HGLYW HVGLF HZI HZ~ I-F IHE IX1 J0M K1G K48 LATKE LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 N9A NF~ O66 O9- OIG P2W P2X P4D PALCI PQQKQ Q.N Q11 QB0 QWB R.K RDJ RIWAO RJQFR ROL RX1 SAMSI SUPJJ TH9 TN5 TUS UB1 V8K W8V W99 WBKPD WIH WIK WOHZO WQJ WXSBR WYISQ WZISG XG1 ZL0 ZZTAW ~IA ~IF ~WT ALUQN AAYXX CITATION O8X 7SC 8FD JQ2 L7M L~C L~D F28 FR3 1XC |
| ID | FETCH-LOGICAL-c4684-bd334fae98ea8b22a8f3dac5c83b505b51617f960f9afb1b491eccf6bbb60c03 |
| IEDL.DBID | DRFUL |
| ISICitedReferencesCount | 253 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000334853000009&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0167-7055 |
| IngestDate | Wed Nov 05 07:31:10 EST 2025 Thu Oct 02 06:37:28 EDT 2025 Sun Nov 09 06:47:09 EST 2025 Sat Nov 29 03:41:09 EST 2025 Tue Nov 18 21:57:38 EST 2025 Sun Sep 21 06:23:55 EDT 2025 Tue Nov 11 03:32:34 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 6 |
| Keywords | and systems quad mesh processing languages I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling--Geometric algorithms quad mesh generation geometry processing mesh parametrization |
| Language | English |
| License | licence_http://creativecommons.org/publicdomain/zero/: http://creativecommons.org/publicdomain/zero |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c4684-bd334fae98ea8b22a8f3dac5c83b505b51617f960f9afb1b491eccf6bbb60c03 |
| Notes | ArticleID:CGF12014 istex:DF1D74DDAF35EEA619760B7C1B235C52013478FC ark:/67375/WNG-K326SDNT-3 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 |
| ORCID | 0000-0002-7007-3219 |
| PQID | 1432162757 |
| PQPubID | 30877 |
| PageCount | 26 |
| ParticipantIDs | hal_primary_oai_HAL_hal_01059755v1 proquest_miscellaneous_1448713271 proquest_journals_1432162757 crossref_citationtrail_10_1111_cgf_12014 crossref_primary_10_1111_cgf_12014 wiley_primary_10_1111_cgf_12014_CGF12014 istex_primary_ark_67375_WNG_K326SDNT_3 |
| PublicationCentury | 2000 |
| PublicationDate | September 2013 |
| PublicationDateYYYYMMDD | 2013-09-01 |
| PublicationDate_xml | – month: 09 year: 2013 text: September 2013 |
| PublicationDecade | 2010 |
| PublicationPlace | Oxford |
| PublicationPlace_xml | – name: Oxford |
| PublicationTitle | Computer graphics forum |
| PublicationTitleAlternate | Computer Graphics Forum |
| PublicationYear | 2013 |
| Publisher | Blackwell Publishing Ltd Wiley |
| Publisher_xml | – name: Blackwell Publishing Ltd – name: Wiley |
| References | [CSM03] Cohen-Steiner D., Morvan J.-M.: Restricted delaunay triangulations and normal cycle. In SCG '03: Proceedings of the 19th Annual Symposium on Computational Geometry (San Diego, CA, USA, June 2003), pp. 312-321. [CP05] Cazals F., Pouget M.: Estimating differential quantities using polynomial fitting of osculating jets. Computer Aided Geometric Design 22, 2 (2005), 121-146. [PPT*11] Panozzo D., Puppo E., Tarini M., Pietroni N., Cignoni P.: Automatic construction of adaptive quad-based subdivision surfaces using fitmaps. IEEE Transaction on Visualization and Computer Graphics 17, 10 (october 2011), 1510-1520. http://doi.ieeecomputersociety.org/10.1109/TVCG.2011.28. [CC78] Catmull E., Clark J.: Recursively generated b-spline surfaces on arbitrary topological meshes. Computer-aided Design 10, 6 (1978), 350-355. [CHP*10] Ceccato C., Hesselgren P., Pauly M., Pottmann H., Wallner J.: Advances in Architectural Geometry 2010. Springer, 2010. [RVLL08] Ray N., Vallet B., Li W. C., Lévy B.: N-symmetry direction field design. ACM Transactions on Graphics 27, 2 (2008), 1-13. [AB99] Amenta N., Bern M. W.: Surface reconstruction by voronoi filtering. Discrete & Computational Geometry 22, 4 (1999), 481-504. [DEJ06] Du Q., Emelianenko M., Ju L.: Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. SIAM Journal on Numerical Analysis 44, 1 (2006), 102-119. [SF05] Steiner D., Fischer A.: Planar parameterization for closed manifold genus-g meshes using any type of positive weights. Journal of Computing and Information Science in Engineering 5, 2 (2005), 118-125. [AdVDI05] Alliez P., de Verdière É. C., Devillers O., Isenburg M.: Centroidal Voronoi diagrams for isotropic surface remeshing. Graphical models 67, 3 (May 2005), 204-231. [BDHJ04] Bertram M., Duchaineau M., Hamann B., Joy K.: Generalized b-spline subdivision-surface wavelets for geometry compression. Visualization and Computer Graphics, IEEE Transactions 10, 3 (2004), 326-338. [PTSZ11] Pietroni N., Tarini M., Sorkine O., Zorin D.: Global parametrization of range image sets. ACM Transactions on Graphics, Proceedings of SIGGRAPH Asia 2011 30, 6 (2011), 149. doi: 10.1145/2070781.2024183. [CDS10] Crane K., Desbrun M., Schröder P.: Trivial connections on discrete surfaces. Computer Graphics Forum (SGP) 29, 5 (2010), 1525-1533. [GLLR11] Gurung T., Laney D., Lindstrom P., Rossignac J.: Squad: Compact representation for triangle meshes. Computer Graphics Forum 30, 2 (2011), 355-364. [BFMM07] Bush J., Ferguson M., Mason T., McGrouther G.: The dynamic rotation of langer's lines on facial expression. Journal of Plastic, Reconstructive & Aesthetic Surgery 60, 4 (2007), 393-399. [CHPW11] Chi-Han Peng Eugene Zhang Y. K., Wonka P.: Connectivity editing for quadrilateral meshes. ACM Transactions on Graphics (Proceedings of ACM SIGGRAPH ASIA) 30, 6 (December 2011), 141:1-141:12. doi: 10.1145/2070781.2024175. [ZMT06] Zhang E., Mischaikow K., Turk G.: Vector field design on surfaces. ACM Transactions on Graphics 25, 4 (2006), 1294-1326. [DFG99] Du Q., Faber V., Gunzburger M.: Centroidal voronoi tessellations: Applications and algorithms. SIREV: SIAM Review 41, 4 (1999), 637-676. [LSS*98] Lee A., Sweldens W., Schroder P., Cowsar L., Dobkin D.: Maps: Multiresolution adaptive parameterization of surfaces. In Proceedings of the 25th Annual Conference on Computer Graphics (1998), pp. 95-104. [LLZ*11] Li E., Lvy B., Zhang X., Che W., Dong W., Paul J.-C.: Meshless quadrangulation by global parametrization. Computer and Graphics (2011). [ZHLB10] Zhang M., Huang J., Liu X., Bao H.: A wave-based anisotropic quadrangulation method. ACM Transactions on Graphics 29 (July 2010), 118:1-118:8. [DISC09b] Daniels II J., Silva C. T., Cohen E.: Semi-regular quadrilateral-only remeshing from simplified base domains. Computer Graphics on Forum 28, 5 (2009), 1427-1435. [TPP*11] Tarini M., Puppo E., Panozzo D., Pietroni N., Cignoni P.: Simple quad domains for field aligned mesh parametrization. ACM Transactions on Graphics, Proceedings of SIGGRAPH Asia 2011 30, 6 (2011). [Flo97] Floater M. S.: Parametrization and smooth approximation of surface triangulations. Computer Aided Geometric Design 14, 3 (1997), 231-250. [WMZ12] Weber O., Myles A., Zorin D.: Computing extremal quasiconformal maps. Computer Graphics Forum 31 (2012), 1679-1689. [MPKZ10] Myles A., Pietroni N., Kovacs D., Zorin D.: Feature-aligned t-meshes. ACM Transactions on Graphics 29, 4 (July 2010), 117:1-117:11. [RVAL09] Ray N., Vallet B., Alonso L., Levy B.: Geometry-aware direction field processing. ACM Transactions on Graphics 29 (December 2009), 1:1-1:11. [LKH08] Lai Y.-K., Kobbelt L., Hu S.-M.: An incremental approach to feature aligned quad dominant remeshing. In SPM '08: Proceedings of the 2008 ACM Symposium on Solid and Physical Modeling (2008), pp. 137-145. [LN89] Liu D. C., Nocedal J.: On the limited memory BFGS method for large scale optimization. Mathematical Programming: Series A and B 45, 3 (1989), 503-528. [MLBD05] Meyer M., Lee H., Barr A., Desbrun M.: Generalized barycentric coordinates on irregular polygons. Computer 7, 1 (2005), 0-4. [YYPM11] Yang Y.-L., Yang Y.-J., Pottmann H., Mitra N. J.: Shape space exploration of constrained meshes. ACM Transactions on Graphics 30, 6 (December 2011), 124:1-124:12. [IS01] Itoh T., Shimada K.: Automatic conversion of triangular meshes into quadrilateral meshes with directionality. International Journal of CAD/CAM (2001). [MBBM97] Murdoch P., Benzley S., Blacker T., Mitchell S.: The spatial twist continuum: A connectivity based method for representing all-hexahedral finite element meshes. Finite Element in Analysis and Design 28, 2 (December 1997), 137-149. [RLS*11] Remacle J.-F., Lambrechts J., Seny B., Marchandise E., Johnen A., Geuzaine C.: Blossom-quad: A non-uniform quadrilateral mesh generator using a minimum cost perfect matching algorithm. International Journal for Numerical Methods in Engineering 89 (2012), 1102-1119. [SMKW00] Shepherd J., Mitchell S. A., Knupp P., White D.: Methods for multisweep automation. In Proceedings of the 9th International Meshing Roundtable Conference Proceedings (2000), pp. 77-87. [Lip12] Lipman Y.: Bounded distortion mapping spaces for triangular meshes. ACM Transactions on Graphics (SIGGRAPH 2012) 31, 4 (2012), 108:1-108:13. doi: 10.1145/2185520.2185604. [LL10] Lévy B., Liu Y.: Lp Centroidal Voronoi Tesselation and its applications. ACM Transactions on Graphics 29, 4 (2010), 119:1-119:11. doi: 10.1145/1778765.1778856. [CMS97] Cignoni P., Montani C., Scopigno R.: A comparison of mesh simplification algorithms. Computers & Graphics 22 (1997), 37-54. [Flo03] Floater M. S.: Mean value coordinates. Computer Aided Geometry Design 20 (March 2003), 19-27. [VZ01] Velho L., Zorin D.: 4-8 subdivision. Computer Aided Geometric Design 18, 5 (2001), 397-427 (Subdivision Algorithms). [Yau05] Yau S.-T.: The Founders of Index Theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer. International Press, 2005. [BZK09] Bommes D., Zimmer H., Kobbelt L.: Mixed-integer quadrangulation. ACM Transactions on Graphics 28 (July 2009), 77:1-77:10. [FLHCO10] Fu C.-W., Lai C.-F., He Y., Cohen-Or D.: K-set tilable surfaces. ACM Transactions on Graphics 29 (July 2010), 44:1-44:6. [LWL*09] Liu Y., Wang W., Lévy B., Sun F., Yan D.-M., Lu L., Yang C.: On centroidal Voronoi tessellation-energy smoothness and fast computation. ACM Transactions on Graphics 28, 4 (2009), 1-17. [HZM*08] Huang J., Zhang M., Ma J., Liu X., Kobbelt L., Bao H.: Spectral quadrangulation with orientation and alignment control. ACM Transactions on Graphics 27 (December 2008), 147:1-147:9. [THCM04] Tarini M., Hormann K., Cignoni P., Montani C.: Polycube-maps. ACM Transactions on Graphics 23 (August 2004), 853-860. [GSC*04] Glymph J., Shelden D., Ceccato C., Mussel J., Schober H.: A parametric strategy for free-form glass structures using quadrilateral planar facets. Automation in Construction 13, 2 (2004), 187-202. [EKS*10] Eigensatz M., Kilian M., Schiftner A., Mitra N. J., Pottmann H., Pauly M.: Paneling architectural freeform surfaces. ACM Transactions on Graphics 29 (July 2010), 45:1-45:10. [D'A00] D'Azevedo E. F.: Are bilinear quadrilaterals better than linear triangles? SIAM Journal on Scientific Computing 22, 1 (January 2000), 198-217. [YLSL11] Yeh I.-C., Lin C.-H., Sorkine O., Lee T.-Y.: Template-based 3D model fitting using dual-domain relaxation. IEEE Transactions on Visualization and Computer Graphics 17, 8 (2011), 1178-1190. [RLL*06] Ray N., Li W. C., Lévy B., Sheffer A., Alliez P.: Periodic global parameterization. ACM Transactions on Graphics 25 (October 2006), 1460-1485. [DGJ03] Du Q., Gunzburger M. D., Ju L.: Voronoi-based finite volume methods, optimal voronoi meshes, and pdes on the sphere. Computer Methods in Applied Mechanics and Engineering 192, 35-36 (2003), 3933-3957. [PTC10] Pietroni N., Tarini M., Cignoni P.: Almost isometric mesh parameterization through abstract domains. IEEE Transaction on Visualization and Computer Graphics 16, 4 (July/August 2010), 621-635. [GHQ06] Gu X., He Y., Qin H.: Manifold splines. Graphical Models 68, 3 (2006), 237-254. [FSDH07] Fisher M., Schröder P., Desbrun M., Hoppe H.: Design of tangent vector fields. ACM Transactions on Graphics 26, 3 (2007), 56. doi:10.1145/1276377.1276447. [Llo82] Lloyd S. P.: Least squares quantization in PCM. IEEE Transactions on Information Theory 28, 2 (1982), 129-137. [PZ07] Palacios J., Zhang E.: Rotational symmetry field design on surfaces. ACM Transactions on Graphics 26, 3 (2007), 55 doi: 10.1145/1276377.1276446. [DISSC08] Daniels II J., Silva C. T., Shepherd J., Cohen E.: Quadrilateral mesh simplification. ACM Transactions on Graphics 27 (December 2008), 148:1-148:9. [HWFQ09] He Y., Wang H., Fu C., Qin H.: A divide and-conquer approach for automatic polycube map construction. Computers & Graphics 33, 3 (2009), 369-380. [PLPZ12] Panozzo D., Lipman Y., Puppo E., Zorin D.: Fields on symmetric surfaces. ACM Transactions on Graphics (SIGGRAPH 2012) 31, 4 (201 2004; 3 2011; 10 2010; 1‐2 2000; 1 1997; 2 2008; 6 2004; 2 2008; 3 2008; 73 2008; 2 1997; 3 2012; 10 1978; 6 2010; 1 2001 2000 1982; 2 2008; 27 2007; 4 2007; 3 2010; 2 2010; 5 2010; 4 1989; 3 2011; 2 2012 2011 2010 2009 1998 2008 1997 2006 1995 1999; 4 2005 2006; 3 2004 2006; 4 2003 2006; 1 2002 2011; 6 2011; 8 2001; 5 2002; 21 2005; 1 1998; 2 2005; 3 2009; 5 2005; 2 2009; 4 2009; 3 2012; 4 2012; 89 e_1_2_7_3_1 e_1_2_7_104_1 e_1_2_7_60_1 e_1_2_7_83_1 e_1_2_7_100_1 e_1_2_7_41_1 e_1_2_7_64_1 Li W.‐C. (e_1_2_7_72_1) 2006 e_1_2_7_87_1 Zhang M. (e_1_2_7_111_1) 2010 Cignoni P. (e_1_2_7_25_1) 1997 e_1_2_7_11_1 e_1_2_7_68_1 e_1_2_7_26_1 e_1_2_7_49_1 Boier‐Martin I. (e_1_2_7_13_1) 2004 Daniels J. (e_1_2_7_36_1) 2008 e_1_2_7_112_1 e_1_2_7_94_1 e_1_2_7_71_1 e_1_2_7_23_1 e_1_2_7_33_1 e_1_2_7_75_1 e_1_2_7_56_1 e_1_2_7_79_1 e_1_2_7_4_1 Fu C.‐W. (e_1_2_7_40_1) 2010 e_1_2_7_105_1 Itoh T. (e_1_2_7_59_1) 2001 e_1_2_7_101_1 Yang Y.‐L. (e_1_2_7_110_1) 2011; 6 e_1_2_7_12_1 e_1_2_7_44_1 e_1_2_7_86_1 e_1_2_7_67_1 e_1_2_7_48_1 e_1_2_7_29_1 Fratarcangeli M. (e_1_2_7_43_1) 2009 e_1_2_7_70_1 e_1_2_7_93_1 Bommes D. (e_1_2_7_14_1) 2008 e_1_2_7_24_1 e_1_2_7_32_1 e_1_2_7_55_1 e_1_2_7_74_1 e_1_2_7_20_1 e_1_2_7_78_1 Yau S.‐T. (e_1_2_7_108_1) 2005 Yeh I.‐C. (e_1_2_7_109_1) 2011; 8 Tong Y. (e_1_2_7_98_1) 2006 Springborn B. (e_1_2_7_97_1) 2008 Carr N. A. (e_1_2_7_22_1) 2006 e_1_2_7_5_1 e_1_2_7_106_1 e_1_2_7_9_1 e_1_2_7_102_1 Isenburg M. (e_1_2_7_58_1) 2003 e_1_2_7_62_1 e_1_2_7_85_1 e_1_2_7_47_1 e_1_2_7_89_1 Cignoni P. (e_1_2_7_21_1) 2005 e_1_2_7_28_1 Guskov I. (e_1_2_7_50_1) 2000 Eigensatz M. (e_1_2_7_39_1) 2010 Gu X. (e_1_2_7_45_1) 2002 Daniels J. (e_1_2_7_34_1) 2009 Nivoliers V. (e_1_2_7_82_1) 2011 Bommes D. (e_1_2_7_15_1) 2009 Hausner A. (e_1_2_7_52_1) 2001 Huang J. (e_1_2_7_57_1) 2008 e_1_2_7_92_1 e_1_2_7_31_1 e_1_2_7_77_1 Ben‐Chen M. (e_1_2_7_8_1) 2008 e_1_2_7_54_1 e_1_2_7_96_1 Eck M. (e_1_2_7_37_1) 1995 e_1_2_7_35_1 e_1_2_7_6_1 Campen M. (e_1_2_7_17_1) 2012; 4 Borden M. (e_1_2_7_7_1) 2002 Cignoni P. (e_1_2_7_19_1) 2008; 73 e_1_2_7_107_1 Myles A. (e_1_2_7_81_1) 2010; 4 e_1_2_7_103_1 Lai Y.‐K. (e_1_2_7_66_1) 2010; 1 e_1_2_7_18_1 e_1_2_7_84_1 e_1_2_7_61_1 e_1_2_7_2_1 e_1_2_7_42_1 e_1_2_7_88_1 e_1_2_7_65_1 Bommes D. (e_1_2_7_16_1) 2012 e_1_2_7_10_1 e_1_2_7_46_1 e_1_2_7_69_1 e_1_2_7_27_1 Khodakovsky A. (e_1_2_7_63_1) 2000 Lee A. (e_1_2_7_73_1) 1998 Eppstein D. (e_1_2_7_38_1) 2008 e_1_2_7_91_1 e_1_2_7_30_1 e_1_2_7_53_1 e_1_2_7_76_1 e_1_2_7_99_1 Shepherd J. (e_1_2_7_95_1) 2000 Gu X. (e_1_2_7_51_1) 2003 Ray N. (e_1_2_7_90_1) 2009 Meyer M. (e_1_2_7_80_1) 2005; 1 |
| References_xml | – reference: [BDHJ04] Bertram M., Duchaineau M., Hamann B., Joy K.: Generalized b-spline subdivision-surface wavelets for geometry compression. Visualization and Computer Graphics, IEEE Transactions 10, 3 (2004), 326-338. – reference: [BLK11] Bommes D., Lempfer T., Kobbelt L.: Global structure optimization of quadrilateral meshes. Computer Graphics Forum 30, 2 (2011), 375-384. – reference: [RVLL08] Ray N., Vallet B., Li W. C., Lévy B.: N-symmetry direction field design. ACM Transactions on Graphics 27, 2 (2008), 1-13. – reference: [EKS*10] Eigensatz M., Kilian M., Schiftner A., Mitra N. J., Pottmann H., Pauly M.: Paneling architectural freeform surfaces. ACM Transactions on Graphics 29 (July 2010), 45:1-45:10. – reference: [Llo82] Lloyd S. P.: Least squares quantization in PCM. IEEE Transactions on Information Theory 28, 2 (1982), 129-137. – reference: [LSS*98] Lee A., Sweldens W., Schroder P., Cowsar L., Dobkin D.: Maps: Multiresolution adaptive parameterization of surfaces. In Proceedings of the 25th Annual Conference on Computer Graphics (1998), pp. 95-104. – reference: [DISC09b] Daniels II J., Silva C. T., Cohen E.: Semi-regular quadrilateral-only remeshing from simplified base domains. Computer Graphics on Forum 28, 5 (2009), 1427-1435. – reference: [BZK09] Bommes D., Zimmer H., Kobbelt L.: Mixed-integer quadrangulation. ACM Transactions on Graphics 28 (July 2009), 77:1-77:10. – reference: [MLBD05] Meyer M., Lee H., Barr A., Desbrun M.: Generalized barycentric coordinates on irregular polygons. Computer 7, 1 (2005), 0-4. – reference: [CP05] Cazals F., Pouget M.: Estimating differential quantities using polynomial fitting of osculating jets. Computer Aided Geometric Design 22, 2 (2005), 121-146. – reference: [LKH08] Lai Y.-K., Kobbelt L., Hu S.-M.: An incremental approach to feature aligned quad dominant remeshing. In SPM '08: Proceedings of the 2008 ACM Symposium on Solid and Physical Modeling (2008), pp. 137-145. – reference: [GSC*04] Glymph J., Shelden D., Ceccato C., Mussel J., Schober H.: A parametric strategy for free-form glass structures using quadrilateral planar facets. Automation in Construction 13, 2 (2004), 187-202. – reference: [PLPZ12] Panozzo D., Lipman Y., Puppo E., Zorin D.: Fields on symmetric surfaces. ACM Transactions on Graphics (SIGGRAPH 2012) 31, 4 (2012), 111. doi: 10.1145/2185520.2185607. – reference: [HZM*08] Huang J., Zhang M., Ma J., Liu X., Kobbelt L., Bao H.: Spectral quadrangulation with orientation and alignment control. ACM Transactions on Graphics 27 (December 2008), 147:1-147:9. – reference: [D'A00] D'Azevedo E. F.: Are bilinear quadrilaterals better than linear triangles? SIAM Journal on Scientific Computing 22, 1 (January 2000), 198-217. – reference: [Lip12] Lipman Y.: Bounded distortion mapping spaces for triangular meshes. ACM Transactions on Graphics (SIGGRAPH 2012) 31, 4 (2012), 108:1-108:13. doi: 10.1145/2185520.2185604. – reference: [PTSZ11] Pietroni N., Tarini M., Sorkine O., Zorin D.: Global parametrization of range image sets. ACM Transactions on Graphics, Proceedings of SIGGRAPH Asia 2011 30, 6 (2011), 149. doi: 10.1145/2070781.2024183. – reference: [SDW*10] Shepherd J. F., Dewey M. W., Woodbury A. C., Benzley S. E., Staten M. L., Owen S. J.: Adaptive mesh coarsening for quadrilateral and hexahedral meshes. Finite Elements in Analysis and Design 46, 1-2 (2010), 17-32. – reference: [LLZ*11] Li E., Lvy B., Zhang X., Che W., Dong W., Paul J.-C.: Meshless quadrangulation by global parametrization. Computer and Graphics (2011). – reference: [LWL*09] Liu Y., Wang W., Lévy B., Sun F., Yan D.-M., Lu L., Yang C.: On centroidal Voronoi tessellation-energy smoothness and fast computation. ACM Transactions on Graphics 28, 4 (2009), 1-17. – reference: [TPC*10] Tarini M., Pietroni N., Cignoni P., Panozzo D., Puppo E.: Practical quad mesh simplification. Computer Graphics Forum 29, 2 (2010), 407-418. – reference: [CHPW11] Chi-Han Peng Eugene Zhang Y. K., Wonka P.: Connectivity editing for quadrilateral meshes. ACM Transactions on Graphics (Proceedings of ACM SIGGRAPH ASIA) 30, 6 (December 2011), 141:1-141:12. doi: 10.1145/2070781.2024175. – reference: [CRS98] Cignoni P., Rocchini C., Scopigno R.: Metro: Measuring error on simplified surfaces. Computer Graphics Forum 17, 2 (1998), 167-174. – reference: [LJFW08] Lin J., Jin X., Fan Z., Wang C.: Automatic polycube-maps. In Proceedings of the 5th International Conference on Advances in Geometric Modeling and Processing (2008), pp. 3-16. – reference: [AdVDI05] Alliez P., de Verdière É. C., Devillers O., Isenburg M.: Centroidal Voronoi diagrams for isotropic surface remeshing. Graphical models 67, 3 (May 2005), 204-231. – reference: [AB99] Amenta N., Bern M. W.: Surface reconstruction by voronoi filtering. Discrete & Computational Geometry 22, 4 (1999), 481-504. – reference: [CC78] Catmull E., Clark J.: Recursively generated b-spline surfaces on arbitrary topological meshes. Computer-aided Design 10, 6 (1978), 350-355. – reference: [LL10] Lévy B., Liu Y.: Lp Centroidal Voronoi Tesselation and its applications. ACM Transactions on Graphics 29, 4 (2010), 119:1-119:11. doi: 10.1145/1778765.1778856. – reference: [THCM04] Tarini M., Hormann K., Cignoni P., Montani C.: Polycube-maps. ACM Transactions on Graphics 23 (August 2004), 853-860. – reference: [RLL*06] Ray N., Li W. C., Lévy B., Sheffer A., Alliez P.: Periodic global parameterization. ACM Transactions on Graphics 25 (October 2006), 1460-1485. – reference: [TIN*ar] Tierny J., II J. D., Nonato L. G., Pascucci V., Silva C.: Interactive quadrangulation with reeb atlases and connectivity textures, IEEE Transactions on Visualization and Computer Graphics 18, 10 (2012), 1650-1663. – reference: [ZHLB10] Zhang M., Huang J., Liu X., Bao H.: A wave-based anisotropic quadrangulation method. ACM Transactions on Graphics 29 (July 2010), 118:1-118:8. – reference: [Fra09] Fratarcangeli M.: A Computational Musco-Skeletal Model for Animating Virtual Faces. PhD thesis, Sapienza University of Rome, 2009. – reference: [DBG*06] Dong S., Bremer P.-T., Garland M., Pascucci V., Hart J. C.: Spectral surface quadrangulation. ACM Transactions on Graphics 25, 3 (July 2006), 1057-1066. – reference: [PTC10] Pietroni N., Tarini M., Cignoni P.: Almost isometric mesh parameterization through abstract domains. IEEE Transaction on Visualization and Computer Graphics 16, 4 (July/August 2010), 621-635. – reference: [DISSC08] Daniels II J., Silva C. T., Shepherd J., Cohen E.: Quadrilateral mesh simplification. ACM Transactions on Graphics 27 (December 2008), 148:1-148:9. – reference: [LN89] Liu D. C., Nocedal J.: On the limited memory BFGS method for large scale optimization. Mathematical Programming: Series A and B 45, 3 (1989), 503-528. – reference: [DFG99] Du Q., Faber V., Gunzburger M.: Centroidal voronoi tessellations: Applications and algorithms. SIREV: SIAM Review 41, 4 (1999), 637-676. – reference: [KNP07] Kälberer F., Nieser M., Polthier K.: Quadcover - surface parameterization using branched coverings. Computer Graphics Forum 26, 3 (2007), 375-384. – reference: [RLS*11] Remacle J.-F., Lambrechts J., Seny B., Marchandise E., Johnen A., Geuzaine C.: Blossom-quad: A non-uniform quadrilateral mesh generator using a minimum cost perfect matching algorithm. International Journal for Numerical Methods in Engineering 89 (2012), 1102-1119. – reference: [SOB05] Staten M. L., Owen S. J., Blacker T. D.: Unconstrained paving and plastering: A new idea for all hexahedral mesh generation. In Proceedings of the 14th International Meshing Roundtable Conference Proceedings (2005), pp. 399-416. – reference: [CMS97] Cignoni P., Montani C., Scopigno R.: A comparison of mesh simplification algorithms. Computers & Graphics 22 (1997), 37-54. – reference: [DEJ06] Du Q., Emelianenko M., Ju L.: Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. SIAM Journal on Numerical Analysis 44, 1 (2006), 102-119. – reference: [SJ08] Shepherd J. F., Johnson C. R.: Hexahedral mesh generation constraints. Engineering with Computers 24, 3 (2008), 195-213. – reference: [WHL*08] Wang H., He Y., Li X., Gu X., Qin H.: Polycube splines. Computer-Aided Design 40, 6 (2008), 721-733. – reference: [FSDH07] Fisher M., Schröder P., Desbrun M., Hoppe H.: Design of tangent vector fields. ACM Transactions on Graphics 26, 3 (2007), 56. doi:10.1145/1276377.1276447. – reference: [GLLR11] Gurung T., Laney D., Lindstrom P., Rossignac J.: Squad: Compact representation for triangle meshes. Computer Graphics Forum 30, 2 (2011), 355-364. – reference: [CSM03] Cohen-Steiner D., Morvan J.-M.: Restricted delaunay triangulations and normal cycle. In SCG '03: Proceedings of the 19th Annual Symposium on Computational Geometry (San Diego, CA, USA, June 2003), pp. 312-321. – reference: [PPT*11] Panozzo D., Puppo E., Tarini M., Pietroni N., Cignoni P.: Automatic construction of adaptive quad-based subdivision surfaces using fitmaps. IEEE Transaction on Visualization and Computer Graphics 17, 10 (october 2011), 1510-1520. http://doi.ieeecomputersociety.org/10.1109/TVCG.2011.28. – reference: [ZMT06] Zhang E., Mischaikow K., Turk G.: Vector field design on surfaces. ACM Transactions on Graphics 25, 4 (2006), 1294-1326. – reference: [DGJ03] Du Q., Gunzburger M. D., Ju L.: Voronoi-based finite volume methods, optimal voronoi meshes, and pdes on the sphere. Computer Methods in Applied Mechanics and Engineering 192, 35-36 (2003), 3933-3957. – reference: [CBK12] Campen M., Bommes D., Kobbelt L.: Dual loops meshing: quality quad layouts on manifolds. ACM Transactions on Graphics 31, 4 (July 2012), 110:1-110:11. – reference: [Flo97] Floater M. S.: Parametrization and smooth approximation of surface triangulations. Computer Aided Geometric Design 14, 3 (1997), 231-250. – reference: [Lue01] Luebke D. P.: A developer's survey of polygonal simplification algorithms. IEEE Computer Graphics and Applications 21 (2001), 24-35. – reference: [HWW*06] He Y., Wang K., Wang H., Gu X., Qin H.: Manifold t-spline. Geometric Modeling and Processing-GMP 2006 (2006), 409-422. – reference: [YYPM11] Yang Y.-L., Yang Y.-J., Pottmann H., Mitra N. J.: Shape space exploration of constrained meshes. ACM Transactions on Graphics 30, 6 (December 2011), 124:1-124:12. – reference: [WMZ12] Weber O., Myles A., Zorin D.: Computing extremal quasiconformal maps. Computer Graphics Forum 31 (2012), 1679-1689. – reference: [SMKW00] Shepherd J., Mitchell S. A., Knupp P., White D.: Methods for multisweep automation. In Proceedings of the 9th International Meshing Roundtable Conference Proceedings (2000), pp. 77-87. – reference: [BFMM07] Bush J., Ferguson M., Mason T., McGrouther G.: The dynamic rotation of langer's lines on facial expression. Journal of Plastic, Reconstructive & Aesthetic Surgery 60, 4 (2007), 393-399. – reference: [GHQ06] Gu X., He Y., Qin H.: Manifold splines. Graphical Models 68, 3 (2006), 237-254. – reference: [BKP*10] Botsch M., Kobbelt L., Pauly M., Alliez P., Lévy B.: Polygon Mesh Processing. AK Peters, London, 2010. – reference: [CCR08] Cignoni P., Corsini M., Ranzuglia G.: Meshlab: An open-source 3D mesh processing system. ERCIM News, 73 (April 2008), 45-46. – reference: [SF05] Steiner D., Fischer A.: Planar parameterization for closed manifold genus-g meshes using any type of positive weights. Journal of Computing and Information Science in Engineering 5, 2 (2005), 118-125. – reference: [TPP*11] Tarini M., Puppo E., Panozzo D., Pietroni N., Cignoni P.: Simple quad domains for field aligned mesh parametrization. ACM Transactions on Graphics, Proceedings of SIGGRAPH Asia 2011 30, 6 (2011). – reference: [YLSL11] Yeh I.-C., Lin C.-H., Sorkine O., Lee T.-Y.: Template-based 3D model fitting using dual-domain relaxation. IEEE Transactions on Visualization and Computer Graphics 17, 8 (2011), 1178-1190. – reference: [CHP*10] Ceccato C., Hesselgren P., Pauly M., Pottmann H., Wallner J.: Advances in Architectural Geometry 2010. Springer, 2010. – reference: [LJX*10] Lai Y.-K., Jin M., Xie X., He Y., Palacios J., Zhang E., Hu S.-M., Gu X.: Metric-driven rosy field design and remeshing. IEEE Transactions on Visualization and Computer Graphics 16, 1 (2010), 95-108. – reference: [SSP08] Springborn B., Schröder P., Pinkall U.: Conformal equivalence of triangle meshes. ACM Transactions on Graphics 27 (August 2008), 77:1-77:11. – reference: [Flo03] Floater M. S.: Mean value coordinates. Computer Aided Geometry Design 20 (March 2003), 19-27. – reference: [PZ07] Palacios J., Zhang E.: Rotational symmetry field design on surfaces. ACM Transactions on Graphics 26, 3 (2007), 55 doi: 10.1145/1276377.1276446. – reference: [FLHCO10] Fu C.-W., Lai C.-F., He Y., Cohen-Or D.: K-set tilable surfaces. ACM Transactions on Graphics 29 (July 2010), 44:1-44:6. – reference: [Yau05] Yau S.-T.: The Founders of Index Theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer. International Press, 2005. – reference: [IS01] Itoh T., Shimada K.: Automatic conversion of triangular meshes into quadrilateral meshes with directionality. International Journal of CAD/CAM (2001). – reference: [VZ01] Velho L., Zorin D.: 4-8 subdivision. Computer Aided Geometric Design 18, 5 (2001), 397-427 (Subdivision Algorithms). – reference: [RVAL09] Ray N., Vallet B., Alonso L., Levy B.: Geometry-aware direction field processing. ACM Transactions on Graphics 29 (December 2009), 1:1-1:11. – reference: [CDS10] Crane K., Desbrun M., Schröder P.: Trivial connections on discrete surfaces. Computer Graphics Forum (SGP) 29, 5 (2010), 1525-1533. – reference: [HWFQ09] He Y., Wang H., Fu C., Qin H.: A divide and-conquer approach for automatic polycube map construction. Computers & Graphics 33, 3 (2009), 369-380. – reference: [MBBM97] Murdoch P., Benzley S., Blacker T., Mitchell S.: The spatial twist continuum: A connectivity based method for representing all-hexahedral finite element meshes. Finite Element in Analysis and Design 28, 2 (December 1997), 137-149. – reference: [MPKZ10] Myles A., Pietroni N., Kovacs D., Zorin D.: Feature-aligned t-meshes. ACM Transactions on Graphics 29, 4 (July 2010), 117:1-117:11. – start-page: 61 year: 2003 – year: 2011 – volume: 1‐2 start-page: 17 year: 2010 end-page: 32 article-title: Adaptive mesh coarsening for quadrilateral and hexahedral meshes publication-title: Finite Elements in Analysis and Design 46 – year: 2005 – start-page: 397 year: 2008 end-page: 404 – start-page: 1477 year: 2008 end-page: 1486 – start-page: 1679 year: 2012 end-page: 1689 article-title: Computing extremal quasiconformal maps publication-title: Computer Graphics Forum 31 – volume: 2 start-page: 355 year: 2011 end-page: 364 article-title: Squad: Compact representation for triangle meshes publication-title: Computer Graphics Forum 30 – start-page: 3933 year: 2003 end-page: 3957 article-title: Voronoi‐based finite volume methods, optimal voronoi meshes, and pdes on the sphere publication-title: Computer Methods in Applied Mechanics and Engineering 192 – volume: 1 start-page: 198 year: 2000 end-page: 217 article-title: Are bilinear quadrilaterals better than linear triangles? publication-title: SIAM Journal on Scientific Computing 22 – volume: 3 start-page: 375 year: 2007 end-page: 384 article-title: Quadcover ‐ surface parameterization using branched coverings publication-title: Computer Graphics Forum 26 – volume: 4 start-page: 1 year: 2009 end-page: 17 article-title: On centroidal Voronoi tessellation—energy smoothness and fast computation publication-title: ACM Transactions on Graphics 28 – start-page: 209 year: 1997 end-page: 216 – volume: 8 start-page: 1178 year: 2011 end-page: 1190 article-title: Template‐based 3D model fitting using dual‐domain relaxation publication-title: IEEE Transactions on Visualization and Computer Graphics 17 – start-page: 271 year: 2000 end-page: 278 – volume: 2 start-page: 187 year: 2004 end-page: 202 article-title: A parametric strategy for free‐form glass structures using quadrilateral planar facets publication-title: Automation in Construction 13 – start-page: 127 year: 2003 end-page: 137 – volume: 27 start-page: 449 year: 2008 end-page: 458 – start-page: 1437 year: 2009 end-page: 1444 – volume: 3 start-page: 204 year: 2005 end-page: 231 article-title: Centroidal Voronoi diagrams for isotropic surface remeshing publication-title: Graphical models 67 – start-page: 193 year: 2012 end-page: 206 – volume: 5 start-page: 1427 year: 2009 end-page: 1435 article-title: Semi‐regular quadrilateral‐only remeshing from simplified base domains publication-title: Computer Graphics on Forum 28 – start-page: 573 year: 2001 end-page: 580 – year: 2008 – start-page: 201 year: 2006 end-page: 210 – start-page: 118:1 year: 2010 end-page: 118:8 article-title: A wave‐based anisotropic quadrangulation method publication-title: ACM Transactions on Graphics 29 – volume: 3 start-page: 55 year: 2007 article-title: Rotational symmetry field design on surfaces publication-title: ACM Transactions on Graphics 26 – start-page: 37 year: 1997 end-page: 54 article-title: A comparison of mesh simplification algorithms publication-title: Computers & Graphics 22 – start-page: 55 year: 2008 end-page: 69 – volume: 21 start-page: 355 issue: 3 year: 2002 end-page: 361 – volume: 1 start-page: 0 year: 2005 end-page: 4 article-title: Generalized barycentric coordinates on irregular polygons publication-title: Computer 7 – volume: 6 start-page: 141:1 year: 2011 end-page: 141:12 article-title: Connectivity editing for quadrilateral meshes publication-title: ACM Transactions on Graphics (Proceedings of ACM SIGGRAPH ASIA) 30 – start-page: 350 year: 2003 end-page: 357 – start-page: 3 year: 2008 end-page: 16 article-title: Automatic polycube‐maps publication-title: Proceedings of the 5th International Conference on Advances in Geometric Modeling and Processing – volume: 5 start-page: 397 year: 2001 end-page: 427 article-title: 4‐8 subdivision publication-title: Computer Aided Geometric Design 18 – volume: 2 start-page: 121 year: 2005 end-page: 146 article-title: Estimating differential quantities using polynomial fitting of osculating jets publication-title: Computer Aided Geometric Design 22 – year: 2001 article-title: Automatic conversion of triangular meshes into quadrilateral meshes with directionality publication-title: International Journal of CAD/CAM – start-page: 151 year: 2011 end-page: 158 – volume: 3 start-page: 237 year: 2006 end-page: 254 article-title: Manifold splines publication-title: Graphical Models 68 – start-page: 77 year: 2000 end-page: 87 article-title: Methods for multisweep automation publication-title: Proceedings of the 9th International Meshing Roundtable Conference Proceedings – volume: 3 start-page: 369 year: 2009 end-page: 380 article-title: A divide and‐conquer approach for automatic polycube map construction publication-title: Computers & Graphics 33 – start-page: 312 year: 2003 end-page: 321 article-title: Restricted delaunay triangulations and normal cycle publication-title: SCG '03: Proceedings of the 19th Annual Symposium on Computational Geometry – start-page: 24 year: 2001 end-page: 35 article-title: A developer's survey of polygonal simplification algorithms publication-title: IEEE Computer Graphics and Applications 21 – volume: 4 start-page: 621 year: 2010 end-page: 635 article-title: Almost isometric mesh parameterization through abstract domains publication-title: IEEE Transaction on Visualization and Computer Graphics 16 – start-page: 77:1 year: 2009 end-page: 77:10 article-title: Mixed‐integer quadrangulation publication-title: ACM Transactions on Graphics 28 – year: 2010 – volume: 3 start-page: 195 year: 2008 end-page: 213 article-title: Hexahedral mesh generation constraints publication-title: Engineering with Computers 24 – start-page: 853 year: 2004 end-page: 860 article-title: Polycube‐maps publication-title: ACM Transactions on Graphics 23 – volume: 73 start-page: 45 year: 2008 end-page: 46 article-title: Meshlab: An open‐source 3D mesh processing system publication-title: ERCIM News – start-page: 137 year: 2008 end-page: 145 article-title: An incremental approach to feature aligned quad dominant remeshing publication-title: SPM '08: Proceedings of the 2008 ACM Symposium on Solid and Physical Modeling – volume: 4 start-page: 117:1 year: 2010 end-page: 117:11 article-title: Feature‐aligned t‐meshes publication-title: ACM Transactions on Graphics 29 – volume: 2 start-page: 118 year: 2005 end-page: 125 article-title: Planar parameterization for closed manifold genus‐g meshes using any type of positive weights publication-title: Journal of Computing and Information Science in Engineering 5 – volume: 6 start-page: 124:1 year: 2011 end-page: 124:12 article-title: Shape space exploration of constrained meshes publication-title: ACM Transactions on Graphics 30 – start-page: 95 year: 2000 end-page: 102 – volume: 2 start-page: 137 year: 1997 end-page: 149 article-title: The spatial twist continuum: A connectivity based method for representing all‐hexahedral finite element meshes publication-title: Finite Element in Analysis and Design 28 – volume: 2 start-page: 375 year: 2011 end-page: 384 article-title: Global structure optimization of quadrilateral meshes publication-title: Computer Graphics Forum 30 – volume: 2 start-page: 1 year: 2008 end-page: 13 article-title: N‐symmetry direction field design publication-title: ACM Transactions on Graphics 27 – volume: 1 start-page: 102 year: 2006 end-page: 119 article-title: Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations publication-title: SIAM Journal on Numerical Analysis 44 – year: 2009 – start-page: 181 year: 2006 end-page: 190 – start-page: 409 year: 2006 end-page: 422 article-title: Manifold t‐spline publication-title: Geometric Modeling and Processing‐GMP 2006 – start-page: 517 year: 2000 end-page: 526 – start-page: 147 year: 2002 end-page: 152 – start-page: 95 year: 1998 end-page: 104 article-title: Maps: Multiresolution adaptive parameterization of surfaces publication-title: Proceedings of the 25th Annual Conference on Computer Graphics – start-page: 137 year: 2010 end-page: 146 – volume: 4 start-page: 1294 year: 2006 end-page: 1326 article-title: Vector field design on surfaces publication-title: ACM Transactions on Graphics 25 – volume: 4 start-page: 393 year: 2007 end-page: 399 article-title: The dynamic rotation of langer's lines on facial expression publication-title: Journal of Plastic, Reconstructive & Aesthetic Surgery 60 – volume: 6 start-page: 149 year: 2011 article-title: Global parametrization of range image sets publication-title: ACM Transactions on Graphics, Proceedings of SIGGRAPH Asia 2011 30 – volume: 3 start-page: 231 year: 1997 end-page: 250 article-title: Parametrization and smooth approximation of surface triangulations publication-title: Computer Aided Geometric Design 14 – start-page: 19 year: 2003 end-page: 27 article-title: Mean value coordinates publication-title: Computer Aided Geometry Design 20 – start-page: 399 year: 2005 end-page: 416 article-title: Unconstrained paving and plastering: A new idea for all hexahedral mesh generation publication-title: Proceedings of the 14th International Meshing Roundtable Conference Proceedings – volume: 3 start-page: 326 year: 2004 end-page: 338 article-title: Generalized b‐spline subdivision‐surface wavelets for geometry compression publication-title: Visualization and Computer Graphics, IEEE Transactions 10 – start-page: 197 year: 2004 end-page: 208 – start-page: 1:1 year: 2009 end-page: 1:11 article-title: Geometry‐aware direction field processing publication-title: ACM Transactions on Graphics 29 – start-page: 7 year: 2004 end-page: 14 – volume: 3 start-page: 56 year: 2007 article-title: Design of tangent vector fields publication-title: ACM Transactions on Graphics 26 – volume: 4 start-page: 108:1 year: 2012 end-page: 108:13 article-title: Bounded distortion mapping spaces for triangular meshes publication-title: ACM Transactions on Graphics (SIGGRAPH 2012) 31 – start-page: 207 year: 2004 end-page: 216 – year: 2011 article-title: Meshless quadrangulation by global parametrization publication-title: Computer and Graphics – volume: 89 start-page: 1102 year: 2012 end-page: 1119 article-title: Blossom‐quad: A non‐uniform quadrilateral mesh generator using a minimum cost perfect matching algorithm publication-title: International Journal for Numerical Methods in Engineering – volume: 5 start-page: 1525 year: 2010 end-page: 1533 article-title: Trivial connections on discrete surfaces publication-title: Computer Graphics Forum (SGP) 29 – start-page: 45:1 year: 2010 end-page: 45:10 article-title: Paneling architectural freeform surfaces publication-title: ACM Transactions on Graphics 29 – volume: 3 start-page: 1057 year: 2006 end-page: 1066 article-title: Spectral surface quadrangulation publication-title: ACM Transactions on Graphics 25 – start-page: 207 year: 2005 end-page: 214 – start-page: 44:1 year: 2010 end-page: 44:6 article-title: K‐set tilable surfaces publication-title: ACM Transactions on Graphics 29 – volume: 10 start-page: 1650 year: 2012 end-page: 1663 article-title: Interactive quadrangulation with reeb atlases and connectivity textures publication-title: IEEE Transactions on Visualization and Computer Graphics 18 – volume: 4 start-page: 481 year: 1999 end-page: 504 article-title: Surface reconstruction by voronoi filtering publication-title: Discrete & Computational Geometry 22 – start-page: 173 year: 1995 end-page: 182 – start-page: 77:1 year: 2008 end-page: 77:11 article-title: Conformal equivalence of triangle meshes publication-title: ACM Transactions on Graphics 27 – volume: 10 start-page: 1510 year: 2011 end-page: 1520 article-title: Automatic construction of adaptive quad‐based subdivision surfaces using fitmaps publication-title: IEEE Transaction on Visualization and Computer Graphics 17 – start-page: 148:1 year: 2008 end-page: 148:9 publication-title: Quadrilateral mesh simplification. ACM Transactions on Graphics 27 – start-page: 65 year: 2009 end-page: 84 – volume: 2 start-page: 167 year: 1998 end-page: 174 article-title: Metro: Measuring error on simplified surfaces publication-title: Computer Graphics Forum 17 – volume: 4 start-page: 119:1 year: 2010 end-page: 119:11 article-title: Lp Centroidal Voronoi Tesselation and its applications publication-title: ACM Transactions on Graphics 29 – start-page: 1460 year: 2006 end-page: 1485 article-title: Periodic global parameterization publication-title: ACM Transactions on Graphics 25 – volume: 2 start-page: 129 year: 1982 end-page: 137 article-title: Least squares quantization in PCM publication-title: IEEE Transactions on Information Theory 28 – volume: 2 start-page: 407 year: 2010 end-page: 418 article-title: Practical quad mesh simplification publication-title: Computer Graphics Forum 29 – volume: 6 start-page: 350 year: 1978 end-page: 355 article-title: Recursively generated b‐spline surfaces on arbitrary topological meshes publication-title: Computer‐aided Design 10 – volume: 6 start-page: 721 year: 2008 end-page: 733 article-title: Polycube splines publication-title: Computer‐Aided Design 40 – volume: 4 start-page: 637 year: 1999 end-page: 676 article-title: Centroidal voronoi tessellations: Applications and algorithms publication-title: SIREV: SIAM Review 41 – volume: 1 start-page: 95 year: 2010 end-page: 108 article-title: Metric‐driven rosy field design and remeshing publication-title: IEEE Transactions on Visualization and Computer Graphics 16 – year: 2006 – start-page: 147:1 year: 2008 end-page: 147:9 article-title: Spectral quadrangulation with orientation and alignment control publication-title: ACM Transactions on Graphics 27 – start-page: 485 year: 2003 end-page: 493 – volume: 4 start-page: 110:1 year: 2012 end-page: 110:11 article-title: Dual loops meshing: quality quad layouts on manifolds publication-title: ACM Transactions on Graphics 31 – volume: 4 start-page: 111 year: 2012 article-title: Fields on symmetric surfaces publication-title: ACM Transactions on Graphics (SIGGRAPH 2012) 31 – volume: 3 start-page: 503 year: 1989 end-page: 528 article-title: On the limited memory BFGS method for large scale optimization publication-title: Mathematical Programming: Series A and B 45 – volume: 6 year: 2011 article-title: Simple quad domains for field aligned mesh parametrization publication-title: ACM Transactions on Graphics, Proceedings of SIGGRAPH Asia 2011 30 – start-page: 173 volume-title: Proceedings of the 22nd International ACM Conference on Computer Graphics and Interactive Techniques year: 1995 ident: e_1_2_7_37_1 – ident: e_1_2_7_28_1 doi: 10.1145/777792.777839 – ident: e_1_2_7_2_1 doi: 10.1007/PL00009475 – ident: e_1_2_7_46_1 doi: 10.1145/258734.258849 – ident: e_1_2_7_76_1 doi: 10.1007/978-3-642-04319-2_5 – ident: e_1_2_7_75_1 doi: 10.1145/1559755.1559758 – volume-title: The Founders of Index Theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer year: 2005 ident: e_1_2_7_108_1 – start-page: 147:1 year: 2008 ident: e_1_2_7_57_1 article-title: Spectral quadrangulation with orientation and alignment control publication-title: ACM Transactions on Graphics 27 – start-page: 44:1 year: 2010 ident: e_1_2_7_40_1 article-title: K‐set tilable surfaces publication-title: ACM Transactions on Graphics 29 – ident: e_1_2_7_60_1 doi: 10.1145/1201775.882275 – ident: e_1_2_7_77_1 doi: 10.1016/S0168-874X(97)81956-7 – start-page: 449 volume-title: Computer Graphics Forum year: 2008 ident: e_1_2_7_8_1 – start-page: 77:1 year: 2008 ident: e_1_2_7_97_1 article-title: Conformal equivalence of triangle meshes publication-title: ACM Transactions on Graphics 27 – ident: e_1_2_7_69_1 doi: 10.1109/TIT.1982.1056489 – start-page: 207 volume-title: Proceedings of the IEEE Visualization year: 2005 ident: e_1_2_7_21_1 – ident: e_1_2_7_62_1 doi: 10.1111/j.1467-8659.2007.01060.x – ident: e_1_2_7_23_1 doi: 10.1007/978-3-7091-0309-8 – ident: e_1_2_7_71_1 doi: 10.1007/BF01589116 – start-page: 1477 volume-title: Proceedings of the Symposium on Geometry Processing year: 2008 ident: e_1_2_7_38_1 – ident: e_1_2_7_30_1 doi: 10.1145/1141911.1141993 – ident: e_1_2_7_94_1 doi: 10.1007/s00366-008-0091-4 – ident: e_1_2_7_61_1 doi: 10.1145/1839778.1839797 – ident: e_1_2_7_105_1 doi: 10.1145/1364901.1364958 – volume: 8 start-page: 1178 year: 2011 ident: e_1_2_7_109_1 article-title: Template‐based 3D model fitting using dual‐domain relaxation publication-title: IEEE Transactions on Visualization and Computer Graphics 17 – ident: e_1_2_7_83_1 doi: 10.1145/2185520.2185607 – ident: e_1_2_7_26_1 doi: 10.1016/j.cagd.2004.09.004 – start-page: 1437 volume-title: Proceedings of the Symposium on Geometry Processing year: 2009 ident: e_1_2_7_34_1 – start-page: 55 volume-title: Proceedings of the Mathematical Methods for Curves and Surfaces year: 2008 ident: e_1_2_7_14_1 – start-page: 147 volume-title: Proceedings of the 11th International Meshing Roundtable year: 2002 ident: e_1_2_7_7_1 – start-page: 127 volume-title: Proceedings of the 2003 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing year: 2003 ident: e_1_2_7_51_1 – ident: e_1_2_7_100_1 doi: 10.1109/TVCG.2011.270 – ident: e_1_2_7_35_1 doi: 10.1111/j.1467-8659.2009.01519.x – start-page: 271 volume-title: Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques year: 2000 ident: e_1_2_7_63_1 – ident: e_1_2_7_79_1 doi: 10.1109/PCCGA.2004.1348351 – ident: e_1_2_7_70_1 doi: 10.1016/j.cag.2011.05.003 – start-page: 37 year: 1997 ident: e_1_2_7_25_1 article-title: A comparison of mesh simplification algorithms publication-title: Computers & Graphics 22 – ident: e_1_2_7_74_1 doi: 10.1109/38.920624 – ident: e_1_2_7_29_1 doi: 10.1137/S106482759630406X – start-page: 197 volume-title: Proceedings of the Eurographics Symposium on Geometry Processing year: 2004 ident: e_1_2_7_13_1 – start-page: 148:1 year: 2008 ident: e_1_2_7_36_1 publication-title: Quadrilateral mesh simplification. ACM Transactions on Graphics 27 – ident: e_1_2_7_11_1 doi: 10.1201/b10688 – ident: e_1_2_7_32_1 doi: 10.1137/S0036144599352836 – ident: e_1_2_7_48_1 doi: 10.1111/j.1467-8659.2011.01866.x – ident: e_1_2_7_92_1 doi: 10.1016/j.finel.2009.06.024 – ident: e_1_2_7_85_1 doi: 10.1109/TVCG.2009.96 – ident: e_1_2_7_86_1 doi: 10.1145/2070781.2024183 – ident: e_1_2_7_24_1 doi: 10.1145/2070781.2024175 – ident: e_1_2_7_78_1 doi: 10.1007/s00211-011-0412-1 – start-page: 573 volume-title: Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques year: 2001 ident: e_1_2_7_52_1 doi: 10.1145/383259.383327 – ident: e_1_2_7_64_1 doi: 10.1145/2185520.2185604 – start-page: 193 volume-title: Proceedings of the 7th International Conference on Curves and Surfaces year: 2012 ident: e_1_2_7_16_1 doi: 10.1007/978-3-642-27413-8_12 – start-page: 201 volume-title: Proceedings of the fourth Eurographics symposium on Geometry processing year: 2006 ident: e_1_2_7_98_1 – ident: e_1_2_7_47_1 doi: 10.1016/j.gmod.2006.03.004 – start-page: 181 volume-title: Symposium on Geometry Processing Conference Proceedings year: 2006 ident: e_1_2_7_22_1 – volume: 4 start-page: 110:1 year: 2012 ident: e_1_2_7_17_1 article-title: Dual loops meshing: quality quad layouts on manifolds publication-title: ACM Transactions on Graphics 31 – ident: e_1_2_7_33_1 doi: 10.1016/S0045-7825(03)00394-3 – ident: e_1_2_7_9_1 doi: 10.1109/TVCG.2004.1272731 – ident: e_1_2_7_67_1 doi: 10.1145/1364901.1364921 – year: 2001 ident: e_1_2_7_59_1 article-title: Automatic conversion of triangular meshes into quadrilateral meshes with directionality publication-title: International Journal of CAD/CAM – start-page: 118:1 year: 2010 ident: e_1_2_7_111_1 article-title: A wave‐based anisotropic quadrangulation method publication-title: ACM Transactions on Graphics 29 – ident: e_1_2_7_5_1 – ident: e_1_2_7_91_1 doi: 10.1145/1356682.1356683 – ident: e_1_2_7_10_1 doi: 10.1016/j.bjps.2006.06.008 – volume-title: A Computational Musco‐Skeletal Model for Animating Virtual Faces year: 2009 ident: e_1_2_7_43_1 – ident: e_1_2_7_4_1 doi: 10.1016/j.gmod.2004.06.007 – ident: e_1_2_7_54_1 doi: 10.1016/j.cag.2009.03.024 – volume: 4 start-page: 117:1 year: 2010 ident: e_1_2_7_81_1 article-title: Feature‐aligned t‐meshes publication-title: ACM Transactions on Graphics 29 – start-page: 1:1 year: 2009 ident: e_1_2_7_90_1 article-title: Geometry‐aware direction field processing publication-title: ACM Transactions on Graphics 29 – ident: e_1_2_7_99_1 doi: 10.1145/1015706.1015810 – volume: 73 start-page: 45 year: 2008 ident: e_1_2_7_19_1 article-title: Meshlab: An open‐source 3D mesh processing system publication-title: ERCIM News – ident: e_1_2_7_3_1 doi: 10.1145/1201775.882296 – ident: e_1_2_7_42_1 doi: 10.1016/S0167-8396(03)00002-5 – ident: e_1_2_7_89_1 doi: 10.1002/nme.3279 – ident: e_1_2_7_96_1 doi: 10.1007/3-540-29090-7_24 – ident: e_1_2_7_20_1 doi: 10.1111/j.1467-8659.2010.01761.x – start-page: 61 volume-title: Proceedings of the 14th IEEE Visualization 2003 (VIS’03) year: 2003 ident: e_1_2_7_58_1 – ident: e_1_2_7_65_1 doi: 10.1007/978-3-540-79246-8_1 – start-page: 77 year: 2000 ident: e_1_2_7_95_1 article-title: Methods for multisweep automation publication-title: Proceedings of the 9th International Meshing Roundtable Conference Proceedings – ident: e_1_2_7_44_1 doi: 10.1145/1276377.1276447 – start-page: 95 year: 1998 ident: e_1_2_7_73_1 article-title: Maps: Multiresolution adaptive parameterization of surfaces publication-title: Proceedings of the 25th Annual Conference on Computer Graphics – volume: 1 start-page: 0 year: 2005 ident: e_1_2_7_80_1 article-title: Generalized barycentric coordinates on irregular polygons publication-title: Computer 7 – ident: e_1_2_7_88_1 doi: 10.1145/1183287.1183297 – ident: e_1_2_7_6_1 doi: 10.1007/978-3-540-33265-7_2 – ident: e_1_2_7_68_1 doi: 10.1145/1778765.1778856 – ident: e_1_2_7_12_1 doi: 10.1111/j.1467-8659.2011.01868.x – start-page: 95 volume-title: Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques year: 2000 ident: e_1_2_7_50_1 – volume: 1 start-page: 95 year: 2010 ident: e_1_2_7_66_1 article-title: Metric‐driven rosy field design and remeshing publication-title: IEEE Transactions on Visualization and Computer Graphics 16 – ident: e_1_2_7_56_1 doi: 10.1145/344779.345074 – ident: e_1_2_7_93_1 doi: 10.1115/1.1884132 – volume: 6 start-page: 124:1 year: 2011 ident: e_1_2_7_110_1 article-title: Shape space exploration of constrained meshes publication-title: ACM Transactions on Graphics 30 – ident: e_1_2_7_18_1 doi: 10.1016/0010-4485(78)90110-0 – ident: e_1_2_7_102_1 doi: 10.1145/2024156.2024176 – ident: e_1_2_7_106_1 doi: 10.1111/j.1467-8659.2012.03173.x – volume-title: Proceedings of the EG/ACM Symposium on Geometry Processing year: 2006 ident: e_1_2_7_72_1 – start-page: 355 volume-title: Proceedings of the SIGGRAPH Conference Proceedings year: 2002 ident: e_1_2_7_45_1 – ident: e_1_2_7_53_1 doi: 10.1145/1058129.1058131 – ident: e_1_2_7_112_1 doi: 10.1145/1183287.1183290 – ident: e_1_2_7_55_1 doi: 10.1007/11802914_29 – ident: e_1_2_7_104_1 doi: 10.1016/j.cad.2008.01.012 – ident: e_1_2_7_84_1 doi: 10.1109/TVCG.2011.28 – ident: e_1_2_7_41_1 doi: 10.1016/S0167-8396(96)00031-3 – ident: e_1_2_7_87_1 doi: 10.1145/1276377.1276446 – volume-title: International Meshing Roundtable Conference Proceedings year: 2011 ident: e_1_2_7_82_1 – ident: e_1_2_7_107_1 doi: 10.1145/1944745.1944771 – start-page: 45:1 year: 2010 ident: e_1_2_7_39_1 article-title: Paneling architectural freeform surfaces publication-title: ACM Transactions on Graphics 29 – ident: e_1_2_7_31_1 doi: 10.1137/040617364 – start-page: 77:1 year: 2009 ident: e_1_2_7_15_1 article-title: Mixed‐integer quadrangulation publication-title: ACM Transactions on Graphics 28 – ident: e_1_2_7_101_1 doi: 10.1111/j.1467-8659.2009.01610.x – ident: e_1_2_7_103_1 doi: 10.1016/S0167-8396(01)00039-5 – ident: e_1_2_7_49_1 doi: 10.1016/j.autcon.2003.09.008 – ident: e_1_2_7_27_1 doi: 10.1111/1467-8659.00236 |
| SSID | ssj0004765 |
| Score | 2.5416906 |
| SecondaryResourceType | review_article |
| Snippet | Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been... |
| SourceID | hal proquest crossref wiley istex |
| SourceType | Open Access Repository Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 51 |
| SubjectTerms | Algorithms Analysis and systems Computational Geometry Computer graphics Computer Science Finite element method geometry processing I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Geometric algorithms I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Geometric algorithms, languages, and systems languages Mathematical analysis Mesh generation mesh parametrization quad mesh generation quad mesh processing Quadrilaterals Simplification Studies Topological manifolds Triangles |
| Title | Quad-Mesh Generation and Processing: A Survey |
| URI | https://api.istex.fr/ark:/67375/WNG-K326SDNT-3/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1111%2Fcgf.12014 https://www.proquest.com/docview/1432162757 https://www.proquest.com/docview/1448713271 https://inria.hal.science/hal-01059755 |
| Volume | 32 |
| WOSCitedRecordID | wos000334853000009&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVWIB databaseName: Wiley Online Library Full Collection 2020 customDbUrl: eissn: 1467-8659 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004765 issn: 0167-7055 databaseCode: DRFUL dateStart: 19970101 isFulltext: true titleUrlDefault: https://onlinelibrary.wiley.com providerName: Wiley-Blackwell |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NbtNAEB41SQ9wKG0Bkf7JrSrUiyG213_0FLWkkdpGQILIbbW73iUI5FZJHbW3PkKfkSdhZmObVAIJiZvlHdujmZ3dGe_MNwCHtnWAFyg38QWBamvpSiMzl5oQKK0YFVfZZhPxYJCMx-mHFTiuamEW-BD1DzeyDLtek4ELOVsycvXVvPFw-2INaPk4b8MmtE4_9T5f_C6LjKOwgvYm0JgSWIgSeeqHH21HjQklQ7ZIvrePPM5lv9VuPL1n_8XyOqyV_qbTXUyQDVjR-SY8XUIhfA5vPxYi-3n_cKlnE2cBQ03ackSeOWUdAdK9c7rOsJjO9d0LGPXej076btlHwVUsSpgrsyBgRug00SKRvi8SE2RChSoJJDpAMqQYx2AoY1JhpCdZ6qFiTSSljDqqE7yEZn6V61fgeFGEOswELguC-ZlOfKbppE_he5jx4jYcVdLkqsQYp1YXP3gVa6AIuBVBGw5q0usFsMYfiVAl9ThBYfe7F5zuUWfPNA7DudeG11ZjNZmYfqd0tTjkXwZn_Bwd1OHpYMSDNuxUKuWlpc4w9Al8j6Cakfn9ehhtjA5ORK6vCqLBsA7D9hi_dWQV_HeW-clZz15s_TvpNjzxbZcNSl3bgebNtNC7sKrmN99m071yWv8CXn722w |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwEB4BW6ntodCWqlteKaoqLgGSOC_EZQUsi1giWhbBzbIduyCqUO2yK3rrT-hv5Jcw403SRaISErcomSTWPOwZe-YbgC-2dYAXKDfxBYFqa-lKI3OXmhAorRgVV9lmE3GWJefn6fEUbFe1MGN8iHrDjSzDztdk4LQhPWHl6odZ93D9YtPQYKhGqN-N3e_t0-6_usg4Citsb0KNKZGFKJOnfvnBejR9QdmQDWLw7QOXc9JxtStPe_Z5Y56DN6XH6bTGKvIWpnTxDl5P4BC-h41vQ5Hf_fl7pAcXzhiImuTliCJ3ykoCpNtyWs7JsD_Sv-eh197r7XTcspOCq1iUMFfmQcCM0GmiRSJ9XyQmyIUKVRJIdIFkSFGOwWDGpMJIT7LUQ9GaSEoZbarN4APMFNeF_giOF0UoxVzgxCCYn-vEZ5rO-hR-hxkvbsJaxU6uSpRxanbxk1fRBrKAWxY0YbUm_TWG1niUCGVSPycw7E6ry-ke9fZM4zAceU34akVWk4n-FSWsxSE_y_b5IbqoJ7tZjwdNWKxkyktbHWDwE_gegTXj4D_Xj9HK6OhEFPp6SDQY2GHgHuO_1qyE_z9kvrPfthefnk66Ai87vaMu7x5khwvwyrc9NyiRbRFmbvpDvQQv1OjmctBfLnX8Hi66-ss |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1fT9swED9BOyF42B9gWoFt2YQmXsJI4vyb9lLRBSa6iI0i-mbZjg0TKKCWVuxtH2GfcZ9kd26SFWmTJu0tii-Jdeez72Lf7wewbakDvEC5iS8IVFtLVxpZuERCoLRiVFxlySbiPE-Gw_R4Ad7XtTAzfIjmhxt5hp2vycH1TWHmvFydm10P1y-2CG1GJDItaPe-ZKf933WRcRTW2N6EGlMhC9FJnubhe-vR4gWdhmyTgu_uhZzzgatdebJH_9fnx_Cwijid7myIPIEFXa7CyhwO4Rq8_TwRxc_vPz7p8YUzA6ImezmiLJyqkgDl3jld52Qymupv6zDIPgz2D92KScFVLEqYK4sgYEboNNEikb4vEhMUQoUqCSSGQDKkLMdgMmNSYaQnWeqhaU0kpYz21F7wFFrldamfgeNFEVqxEDgxCOYXOvGZpr0-he9hxos7sFOrk6sKZZzILq54nW2gCrhVQQdeN6I3M2iNPwqhTZp2AsM-7PY53SNuzzQOw6nXgTfWZI2YGF3SgbU45Gf5AT_CEPWklw940IGt2qa88tUxJj-B7xFYM3b-VdOMXkZbJ6LU1xOSwcQOE_cYv7VjLfz3LvP9g8xebPy76EtYOu5lvP8xP9qEZd9SbtA5ti1o3Y4m-jk8UNPbr-PRi2qI_wLAQfpG |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Quad-Mesh+Generation+and+Processing%3A+A+Survey&rft.jtitle=Computer+graphics+forum&rft.au=Bommes%2C+David&rft.au=L%C3%A9vy%2C+Bruno&rft.au=Pietroni%2C+Nico&rft.au=Puppo%2C+Enrico&rft.date=2013-09-01&rft.pub=Wiley&rft.issn=0167-7055&rft.eissn=1467-8659&rft.volume=32&rft.issue=6&rft.spage=51&rft.epage=76&rft_id=info:doi/10.1111%2Fcgf.12014&rft.externalDBID=HAS_PDF_LINK&rft.externalDocID=oai%3AHAL%3Ahal-01059755v1 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0167-7055&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0167-7055&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0167-7055&client=summon |