Non-Oriented MLS Gradient Fields
We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that compu...
Saved in:
| Published in: | Computer graphics forum Vol. 32; no. 8; pp. 98 - 109 |
|---|---|
| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford
Blackwell Publishing Ltd
01.12.2013
Wiley |
| Subjects: | |
| ISSN: | 0167-7055, 1467-8659 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher‐order local approximations of non‐oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower‐order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. Thanks to its ease of implementation (on both CPU and GPU) and small performance overhead, we believe our approach will find a widespread use in graphics applications, as demonstrated by the variety of our results.
We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher‐order local approximations of non‐oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower‐order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. |
|---|---|
| AbstractList | We introduce a new approach for defining continuous non-oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher-order local approximations of non-oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower-order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. Thanks to its ease of implementation (on both CPU and GPU) and small performance overhead, we believe our approach will find a widespread use in graphics applications, as demonstrated by the variety of our results. We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher‐order local approximations of non‐oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower‐order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. Thanks to its ease of implementation (on both CPU and GPU) and small performance overhead, we believe our approach will find a widespread use in graphics applications, as demonstrated by the variety of our results. We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher‐order local approximations of non‐oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower‐order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. We introduce a new approach for defining continuous non-oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher-order local approximations of non-oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower-order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. Thanks to its ease of implementation (on both CPU and GPU) and small performance overhead, we believe our approach will find a widespread use in graphics applications, as demonstrated by the variety of our results. [PUBLICATION ABSTRACT] We introduce a new approach for defining continuous non-oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher-order local approximations of non-oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower-order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. Thanks to its ease of implementation (on both CPU and GPU) and small performance overhead, we believe our approach will find a widespread use in graphics applications, as demonstrated by the variety of our results. We introduce a new approach for defining continuous non-oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher-order local approximations of non-oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower-order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. |
| Author | Guennebaud, Gaël Barla, Pascal Chen, Jiazhou Granier, Xavier |
| Author_xml | – sequence: 1 givenname: Jiazhou surname: Chen fullname: Chen, Jiazhou email: californiachen@gmail.com organization: College of Computer Science, Zhejiang University of Technology, Hangzhou, P. R. China – sequence: 2 givenname: Gaël surname: Guennebaud fullname: Guennebaud, Gaël email: gael.guennebaud@inria.fr organization: Inria LaBRI (CNRS, Univ. Bordeaux) LP2N (CNRS, Univ. Bordeaux, IOGS) – sequence: 3 givenname: Pascal surname: Barla fullname: Barla, Pascal email: pascal.barla@inria.fr organization: Inria LaBRI (CNRS, Univ. Bordeaux) LP2N (CNRS, Univ. Bordeaux, IOGS) – sequence: 4 givenname: Xavier surname: Granier fullname: Granier, Xavier email: xavier.granier@inria.fr organization: Inria LaBRI (CNRS, Univ. Bordeaux) LP2N (CNRS, Univ. Bordeaux, IOGS) |
| BackLink | https://inria.hal.science/hal-00857265$$DView record in HAL |
| BookMark | eNp1kMlOwzAURS1UJMqw4A8isYFFwI797HRZVTQFUroAhMTGeklcMKQJ2CnD35PSFiQE3njQOVfPd5t0qroyhOwzeszadZLfT49ZxKTYIF0mpApjCb0O6VLWnhUF2CLb3j9SSoWS0CXBZV2FE2dN1ZgiGKdXQeKwWFyDoTVl4XfJ5hRLb_ZW-w65GZ5eD0ZhOknOBv00zAVXIkShIuhJSSNRYEZVFtMcjAKcckQhea4KSmNkPRBFBiqDOIsF5yJDnkGOhu-Qo2XuA5b62dkZug9do9WjfqoXb60OKpLwylr2cMk-u_plbnyjZ9bnpiyxMvXcayZ6gksAoC168At9rOeuan_SUjKiEQBbBJ4sqdzV3jsz1bltsLF11Ti0pWZUL9rVbbv6q92fcb-N9cx_sav0N1uaj_9BPUiGayNcGtY35v3bQPekpeIK9O1lou8uxjwZq3PN-Cfe15Vc |
| CitedBy_id | crossref_primary_10_1145_3197517_3201370 crossref_primary_10_1145_3476576_3476597 crossref_primary_10_1111_cgf_14075 crossref_primary_10_1145_2816795_2818067 crossref_primary_10_1111_cgf_70079 crossref_primary_10_1109_TVCG_2014_2355221 crossref_primary_10_1145_3132703 crossref_primary_10_1111_cgf_12802 crossref_primary_10_1145_3197517_3201314 crossref_primary_10_1145_3202661 crossref_primary_10_1007_s00371_018_1549_z crossref_primary_10_1145_2897824_2925972 crossref_primary_10_1007_s00371_016_1222_3 crossref_primary_10_1145_3528223_3530151 crossref_primary_10_3390_app9071385 crossref_primary_10_1145_3481804 crossref_primary_10_1016_j_cag_2018_05_014 crossref_primary_10_1145_3478513_3480529 crossref_primary_10_1145_3233984 crossref_primary_10_1145_3554730 crossref_primary_10_1007_s11042_019_7311_3 crossref_primary_10_1145_3592130 crossref_primary_10_1109_ACCESS_2019_2931037 crossref_primary_10_1111_cgf_14368 crossref_primary_10_1111_cgf_14901 crossref_primary_10_1016_j_cag_2015_05_006 crossref_primary_10_1155_2022_2238077 crossref_primary_10_1145_3450626_3459777 |
| Cites_doi | 10.1109/TVCG.2008.186 10.1109/TVCG.2007.16 10.1145/280814.280951 10.1145/1618452.1618454 10.1090/S0025-5718-98-00974-0 10.1111/j.1467-8659.2009.01388.x 10.1111/j.1467-8659.2010.01782.x 10.1109/TIP.2008.2009800 10.1145/1015706.1015713 10.1111/j.1467-8659.2012.03174.x 10.1111/j.1467-8659.2011.01882.x 10.1145/1516522.1516531 10.1109/TVCG.2008.81 10.1111/j.1467-8659.2008.01163.x 10.1145/1015706.1015816 10.1145/1274871.1274878 10.1109/34.103273 10.1093/oso/9780199205219.001.0001 10.1007/3-540-31272-2_2 10.1145/1108590.1108592 10.1145/133994.134011 10.1007/978-3-642-03596-8_15 10.1145/37402.37420 10.1145/987657.987676 10.1145/1618452.1618522 10.1017/S0266466600011129 10.1145/1141911.1141920 10.1145/1073204.1073227 10.1142/S0218195904001470 10.1145/1276377.1276406 10.1137/0727053 10.1111/j.1467-8659.2009.01574.x |
| 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. Distributed under a Creative Commons Attribution 4.0 International License |
| 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: Distributed under a Creative Commons Attribution 4.0 International License |
| DBID | BSCLL AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D F28 FR3 1XC VOOES |
| DOI | 10.1111/cgf.12164 |
| 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) Hyper Article en Ligne (HAL) (Open Access) |
| 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 | Computer and Information Systems Abstracts CrossRef Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Computer Science |
| EISSN | 1467-8659 |
| EndPage | 109 |
| ExternalDocumentID | oai:HAL:hal-00857265v1 3139044391 10_1111_cgf_12164 CGF12164 ark_67375_WNG_ZKM3GM7J_1 |
| Genre | article Feature |
| GrantInformation_xml | – fundername: National Natural Science Foundation of China funderid: 61303138 – fundername: ANR SeARCH project funderid: ANR‐09‐CORD‐019 – fundername: ANR DRAO project funderid: 12‐JS02‐003 01 |
| 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 ALUQN 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 AAYXX CITATION O8X 7SC 8FD JQ2 L7M L~C L~D F28 FR3 1XC VOOES |
| ID | FETCH-LOGICAL-c4374-a4725966024dab07b80c5e75af3aa463c7d008a1954db57b58b84334ba3b5cae3 |
| IEDL.DBID | DRFUL |
| ISICitedReferencesCount | 30 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000327433800009&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 | Tue Oct 14 20:19:35 EDT 2025 Sun Nov 09 11:55:27 EST 2025 Sun Nov 09 08:50:08 EST 2025 Sat Nov 29 03:41:10 EST 2025 Tue Nov 18 21:08:36 EST 2025 Sun Sep 21 06:20:07 EDT 2025 Sun Sep 21 06:20:20 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 8 |
| Keywords | Image Processing Surface Reconstruction Curves and Surfaces |
| Language | English |
| License | Distributed under a Creative Commons Attribution 4.0 International License: http://creativecommons.org/licenses/by/4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c4374-a4725966024dab07b80c5e75af3aa463c7d008a1954db57b58b84334ba3b5cae3 |
| Notes | ark:/67375/WNG-ZKM3GM7J-1 National Natural Science Foundation of China - No. 61303138 Supplementary Video S1.Supplimental result images. ANR DRAO project - No. 12-JS02-003 01 ANR SeARCH project - No. ANR-09-CORD-019 istex:BF79EBF90C9000A36DE30AA81E7F214862FC0FFC ArticleID:CGF12164 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 |
| ORCID | 0000-0003-1349-2297 0000-0002-2759-4908 |
| OpenAccessLink | https://inria.hal.science/hal-00857265 |
| PQID | 1462025511 |
| PQPubID | 30877 |
| PageCount | 12 |
| ParticipantIDs | hal_primary_oai_HAL_hal_00857265v1 proquest_miscellaneous_1494365550 proquest_journals_1462025511 crossref_citationtrail_10_1111_cgf_12164 crossref_primary_10_1111_cgf_12164 wiley_primary_10_1111_cgf_12164_CGF12164 istex_primary_ark_67375_WNG_ZKM3GM7J_1 |
| PublicationCentury | 2000 |
| PublicationDate | December 2013 |
| PublicationDateYYYYMMDD | 2013-12-01 |
| PublicationDate_xml | – month: 12 year: 2013 text: December 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 | [FCOS05] Fleishman S., Cohen-Or D., Silva C. T.: Robust moving least-squares fitting with sharp features. ACM Transactions on Graphics 24, 3 (2005), 544-552. [KBH06] Kazhdan M., Bolitho M., Hoppe H.: Poisson surface reconstruction. In Proceedings of the Eurographics Symposium on Geometry Processing 2006 (2006), pp. 43-52. [All07] Allaire G.: Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation. (New York, NY, USA, 2007), Oxford University Press. [Pra87] Pratt V.: Direct least-squares fitting of algebraic surfaces. In Proceedings of the SIGGRAPH '87 (1987), pp. 145-152. [LGM*08] Ledergerber C., Guennebaud G., Meyer M., Bacher M., Pfister H.: Volume MLS Ray Casting. IEEE Transactions on Visualization and Computer Graphics 14, 6 (2008), 1372-1379. [MGG04] Mitra N., Guyen N., Guibas: Estimating surface normals in noisy point cloud data. International Journal of Computational Geometry and Applications 14 (2004), 322-328. [XCOJ*09] Xu K., Cohen-Or D., Ju T., Liu L., Zhang H., Zhou S., Xiong Y.: Feature-aligned shape texturing. ACM Transactions on Graphics 28, 5 (Dec. 2009), 108:1-108:7. [MDGD*10] Mullen P., De Goes F., Desbrun M., Cohen-Steiner D., Alliez P.: Signing the Unsigned: Robust Surface Reconstruction from Raw Pointsets. Computer Graphics Forum 29, 5 (2010), 1733-1741. [GG07] Guennebaud G., Gross M.: Algebraic point set surfaces. ACM Transactions on Graphics 26, 3 (2007). [KKD09] Kyprianidis J., Kang H., Döllner J.: Image and video abstraction by anisotropic kuwahara filtering. Computer Graphics Forum 28, 7 (2009), 1955-1963. [OR90] Osher S., Rudin L. I.: Feature-oriented image enhancement using shock filters. SIAM Journal on Numerical Analysis 27, 4 (Aug. 1990), 919-940. [GGG08] Guennebaud G., Germann M., Gross M.: Dynamic sampling and rendering of algebraic point set surfaces. Computer Graphics Forum 27, 2 (2008). [SOS04] Shen C., O'Brien J. F., Shewchuk J. R.: Interpolating and approximating implicit surfaces from polygon soup. ACM Transactions on Graphics 23, 3 (2004), 896-904. [OGG09] Oztireli C., Guennebaud G., Gross M.: Feature preserving point set surfaces based on non-linear kernel regression. Computer Graphics Forum 28, 2 (2009), 493-501. [KK11] Kyprianidis J., Kang H.: Image and video abstraction by coherence-enhancing filtering. Computer Graphics Forum 30, 2 (2011), 593-602. [SMW06] Schaefer S., McPhail T., Warren J.: Image deformation using moving least squares. ACM Transactions on Graphics 25, 3 (2006), 533-540. [KLC09] Kang H., Lee S., Chui C. K.: Flow-based image abstraction. IEEE Transactions on Visualization and Computer Graphics 15, 1 (2009), 62-76. [AK04] Amenta N., Kil Y. J.: Defining point-set surfaces. ACM Transactions on Graphics 23, 3 (2004), 264-270. [PP09] Papari G., Petkov N.: Continuous glass patterns for painterly rendering. Image Processing, IEEE Transactions on 18, 3 (2009), 652-664. [Tau91] Taubin G.: Estimation of planar curves, surfaces, and nonplanar space curves defined by implicit equations with applications to edge and range image segmentation. IEEE Transactions on Pattern Analysis & Machine Intelligence 13, 11 (Nov. 1991), 1115-1138. [KD08] Kyprianidis J., Döllner J.: Image abstraction by structure adaptive filtering. Proceedings of the EG UK Theory and Practice of Computer Graphics (2008), 51-58. [AA09] Alexa M., Adamson A.: Interpolatory point set surfaces-convexity and hermite data. ACM Transactions on Graphics (TOG) 28, 2 (2009), 20-1-10. [HLZ*09] Huang H., Li D., Zhang H., Ascher U., Cohen-Or D.: Consolidation of unorganized point clouds for surface reconstruction. ACM Transactions on Graphics 28, 5 (2009). [ZHT07] Zhang E., Hays J., Turk G.: Interactive tensor field design and visualization on surfaces. IEEE Transactions on Visualization and Computer Graphics 13, 1 (2007), 94-107. [MBG*12] Mellado N., Barla P., Guennebaud G., Reuter P., Schlick C.: Growing Least Squares for the Continuous Analysis of Manifolds in Scale-Space. Computer Graphics Forum (Jul. 2012). [Lev98] Levin D.: The approximation power of moving least-squares. Mathematics of Computation 67 (1998), 1517-1531. [Mag85] Magnus J. R.: On differentiating eigenvalues and eigenvectors. Econometric Theory 24, 1 (1985), 179-191. [NP09] Nieser M., Polthier K.: Parameterizing singularities of positive integral index. In Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII (2009), pp. 265-277. 2012 1991; 13 2011 2004; 23 1998 2008; 14 2009 2008 2011; 30 2007 2006 2004 2006; 1 1992 1998; 67 2007; 13 2005; 24 1985; 24 2009; 28 1990; 27 2010; 29 2004; 14 2008; 27 2006; 25 1987 2009; 15 2007; 26 2009; 18 e_1_2_8_28_1 e_1_2_8_29_1 e_1_2_8_24_1 Tomasi C. (e_1_2_8_38_1) 1998 e_1_2_8_25_1 e_1_2_8_26_1 e_1_2_8_27_1 Adamson A. (e_1_2_8_2_1) 2004 Pratt V. (e_1_2_8_34_1) 1987 Alexa M. (e_1_2_8_3_1) 2004 e_1_2_8_5_1 e_1_2_8_4_1 e_1_2_8_7_1 Kazhdan M. (e_1_2_8_18_1) 2006 Allaire G. (e_1_2_8_8_1) 2007 e_1_2_8_20_1 e_1_2_8_21_1 e_1_2_8_22_1 e_1_2_8_23_1 e_1_2_8_41_1 e_1_2_8_40_1 e_1_2_8_17_1 e_1_2_8_13_1 e_1_2_8_36_1 e_1_2_8_14_1 e_1_2_8_35_1 e_1_2_8_15_1 e_1_2_8_16_1 e_1_2_8_37_1 Alliez P. (e_1_2_8_6_1) 2007 Bigün J. (e_1_2_8_9_1) 1987 Kyprianidis J. (e_1_2_8_19_1) 2008 e_1_2_8_32_1 e_1_2_8_10_1 e_1_2_8_31_1 ller H. (e_1_2_8_39_1) 2011 e_1_2_8_11_1 e_1_2_8_12_1 e_1_2_8_33_1 e_1_2_8_30_1 |
| References_xml | – reference: [Lev98] Levin D.: The approximation power of moving least-squares. Mathematics of Computation 67 (1998), 1517-1531. – reference: [XCOJ*09] Xu K., Cohen-Or D., Ju T., Liu L., Zhang H., Zhou S., Xiong Y.: Feature-aligned shape texturing. ACM Transactions on Graphics 28, 5 (Dec. 2009), 108:1-108:7. – reference: [GG07] Guennebaud G., Gross M.: Algebraic point set surfaces. ACM Transactions on Graphics 26, 3 (2007). – reference: [PP09] Papari G., Petkov N.: Continuous glass patterns for painterly rendering. Image Processing, IEEE Transactions on 18, 3 (2009), 652-664. – reference: [SMW06] Schaefer S., McPhail T., Warren J.: Image deformation using moving least squares. ACM Transactions on Graphics 25, 3 (2006), 533-540. – reference: [MDGD*10] Mullen P., De Goes F., Desbrun M., Cohen-Steiner D., Alliez P.: Signing the Unsigned: Robust Surface Reconstruction from Raw Pointsets. Computer Graphics Forum 29, 5 (2010), 1733-1741. – reference: [SOS04] Shen C., O'Brien J. F., Shewchuk J. R.: Interpolating and approximating implicit surfaces from polygon soup. ACM Transactions on Graphics 23, 3 (2004), 896-904. – reference: [KKD09] Kyprianidis J., Kang H., Döllner J.: Image and video abstraction by anisotropic kuwahara filtering. Computer Graphics Forum 28, 7 (2009), 1955-1963. – reference: [KK11] Kyprianidis J., Kang H.: Image and video abstraction by coherence-enhancing filtering. Computer Graphics Forum 30, 2 (2011), 593-602. – reference: [NP09] Nieser M., Polthier K.: Parameterizing singularities of positive integral index. In Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII (2009), pp. 265-277. – reference: [OR90] Osher S., Rudin L. I.: Feature-oriented image enhancement using shock filters. SIAM Journal on Numerical Analysis 27, 4 (Aug. 1990), 919-940. – reference: [KLC09] Kang H., Lee S., Chui C. K.: Flow-based image abstraction. IEEE Transactions on Visualization and Computer Graphics 15, 1 (2009), 62-76. – reference: [AA09] Alexa M., Adamson A.: Interpolatory point set surfaces-convexity and hermite data. ACM Transactions on Graphics (TOG) 28, 2 (2009), 20-1-10. – reference: [AK04] Amenta N., Kil Y. J.: Defining point-set surfaces. ACM Transactions on Graphics 23, 3 (2004), 264-270. – reference: [FCOS05] Fleishman S., Cohen-Or D., Silva C. T.: Robust moving least-squares fitting with sharp features. ACM Transactions on Graphics 24, 3 (2005), 544-552. – reference: [Tau91] Taubin G.: Estimation of planar curves, surfaces, and nonplanar space curves defined by implicit equations with applications to edge and range image segmentation. IEEE Transactions on Pattern Analysis & Machine Intelligence 13, 11 (Nov. 1991), 1115-1138. – reference: [KD08] Kyprianidis J., Döllner J.: Image abstraction by structure adaptive filtering. Proceedings of the EG UK Theory and Practice of Computer Graphics (2008), 51-58. – reference: [All07] Allaire G.: Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation. (New York, NY, USA, 2007), Oxford University Press. – reference: [ZHT07] Zhang E., Hays J., Turk G.: Interactive tensor field design and visualization on surfaces. IEEE Transactions on Visualization and Computer Graphics 13, 1 (2007), 94-107. – reference: [Pra87] Pratt V.: Direct least-squares fitting of algebraic surfaces. In Proceedings of the SIGGRAPH '87 (1987), pp. 145-152. – reference: [GGG08] Guennebaud G., Germann M., Gross M.: Dynamic sampling and rendering of algebraic point set surfaces. Computer Graphics Forum 27, 2 (2008). – reference: [KBH06] Kazhdan M., Bolitho M., Hoppe H.: Poisson surface reconstruction. In Proceedings of the Eurographics Symposium on Geometry Processing 2006 (2006), pp. 43-52. – reference: [HLZ*09] Huang H., Li D., Zhang H., Ascher U., Cohen-Or D.: Consolidation of unorganized point clouds for surface reconstruction. ACM Transactions on Graphics 28, 5 (2009). – reference: [Mag85] Magnus J. R.: On differentiating eigenvalues and eigenvectors. Econometric Theory 24, 1 (1985), 179-191. – reference: [LGM*08] Ledergerber C., Guennebaud G., Meyer M., Bacher M., Pfister H.: Volume MLS Ray Casting. IEEE Transactions on Visualization and Computer Graphics 14, 6 (2008), 1372-1379. – reference: [MBG*12] Mellado N., Barla P., Guennebaud G., Reuter P., Schlick C.: Growing Least Squares for the Continuous Analysis of Manifolds in Scale-Space. Computer Graphics Forum (Jul. 2012). – reference: [MGG04] Mitra N., Guyen N., Guibas: Estimating surface normals in noisy point cloud data. International Journal of Computational Geometry and Applications 14 (2004), 322-328. – reference: [OGG09] Oztireli C., Guennebaud G., Gross M.: Feature preserving point set surfaces based on non-linear kernel regression. Computer Graphics Forum 28, 2 (2009), 493-501. – start-page: 243 year: 2004 end-page: 252 – volume: 28 start-page: 1 issue: 2 year: 2009 end-page: 10 article-title: Interpolatory point set surfaces‐convexity and hermite data publication-title: ACM Transactions on Graphics (TOG) – start-page: 147 year: 2011 end-page: 156 – volume: 27 start-page: 2 year: 2008 article-title: Dynamic sampling and rendering of algebraic point set surfaces publication-title: Computer Graphics Forum – volume: 24 start-page: 179 issue: 1 year: 1985 end-page: 191 article-title: On differentiating eigenvalues and eigenvectors publication-title: Econometric Theory – year: 2012 article-title: Growing Least Squares for the Continuous Analysis of Manifolds in Scale‐Space publication-title: Computer Graphics Forum – volume: 29 start-page: 1733 issue: 5 year: 2010 end-page: 1741 article-title: Signing the Unsigned: Robust Surface Reconstruction from Raw Pointsets publication-title: Computer Graphics Forum – volume: 1 start-page: 17 year: 2006 end-page: 47 – start-page: 145 year: 1987 end-page: 152 article-title: Direct least‐squares fitting of algebraic surfaces publication-title: Proceedings of the SIGGRAPH '87 – volume: 23 start-page: 264 issue: 3 year: 2004 end-page: 270 article-title: Defining point‐set surfaces publication-title: ACM Transactions on Graphics – year: 2007 – volume: 14 start-page: 322 year: 2004 end-page: 328 article-title: Guibas: Estimating surface normals in noisy point cloud data publication-title: International Journal of Computational Geometry and Applications – volume: 14 start-page: 1372 issue: 6 year: 2008 end-page: 1379 article-title: Volume MLS Ray Casting publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 30 start-page: 593 issue: 2 year: 2011 end-page: 602 article-title: Image and video abstraction by coherence‐enhancing filtering publication-title: Computer Graphics Forum – volume: 25 start-page: 533 issue: 3 year: 2006 end-page: 540 article-title: Image deformation using moving least squares publication-title: ACM Transactions on Graphics – start-page: 149 year: 2004 end-page: 156 – start-page: 39 year: 2007 end-page: 48 – start-page: 433 year: 1987 end-page: 438 – start-page: 71 year: 1992 end-page: 78 – volume: 18 start-page: 652 issue: 3 year: 2009 end-page: 664 article-title: Continuous glass patterns for painterly rendering publication-title: Image Processing, IEEE Transactions on – start-page: 453 year: 1998 end-page: 460 – volume: 26 start-page: 3 year: 2007 article-title: Algebraic point set surfaces publication-title: ACM Transactions on Graphics – start-page: 43 year: 2006 end-page: 52 article-title: Poisson surface reconstruction publication-title: Proceedings of the Eurographics Symposium on Geometry Processing 2006 – start-page: 51 year: 2008 end-page: 58 article-title: Image abstraction by structure adaptive filtering publication-title: Proceedings of the EG UK Theory and Practice of Computer Graphics – volume: 28 start-page: 1955 issue: 7 year: 2009 end-page: 1963 article-title: Image and video abstraction by anisotropic kuwahara filtering publication-title: Computer Graphics Forum – start-page: 113 year: 2004 end-page: 120 – volume: 24 start-page: 544 issue: 3 year: 2005 end-page: 552 article-title: Robust moving least‐squares fitting with sharp features publication-title: ACM Transactions on Graphics – volume: 28 start-page: 5 year: 2009 article-title: Consolidation of unorganized point clouds for surface reconstruction publication-title: ACM Transactions on Graphics – start-page: 839 year: 1998 end-page: 846 – volume: 13 start-page: 1115 issue: 11 year: 1991 end-page: 1138 article-title: Estimation of planar curves, surfaces, and nonplanar space curves defined by implicit equations with applications to edge and range image segmentation publication-title: IEEE Transactions on Pattern Analysis & Machine Intelligence – start-page: 43 year: 2007 end-page: 50 – volume: 28 start-page: 493 issue: 2 year: 2009 end-page: 501 article-title: Feature preserving point set surfaces based on non‐linear kernel regression publication-title: Computer Graphics Forum – volume: 27 start-page: 919 issue: 4 year: 1990 end-page: 940 article-title: Feature‐oriented image enhancement using shock filters publication-title: SIAM Journal on Numerical Analysis – volume: 23 start-page: 896 issue: 3 year: 2004 end-page: 904 article-title: Interpolating and approximating implicit surfaces from polygon soup publication-title: ACM Transactions on Graphics – start-page: 7 year: 2006 end-page: 13 – volume: 15 start-page: 62 issue: 1 year: 2009 end-page: 76 article-title: Flow‐based image abstraction publication-title: IEEE Transactions on Visualization and Computer Graphics – start-page: 265 year: 2009 end-page: 277 article-title: Parameterizing singularities of positive integral index publication-title: Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII – volume: 13 start-page: 94 issue: 1 year: 2007 end-page: 107 article-title: Interactive tensor field design and visualization on surfaces publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 67 start-page: 1517 year: 1998 end-page: 1531 article-title: The approximation power of moving least‐squares publication-title: Mathematics of Computation – volume: 28 start-page: 108:1 issue: 5 year: 2009 end-page: 108:7 article-title: Feature‐aligned shape texturing publication-title: ACM Transactions on Graphics – start-page: 39 volume-title: Proceedings of the Eurographics Symposium on Geometry Processing 2007 year: 2007 ident: e_1_2_8_6_1 – ident: e_1_2_8_25_1 doi: 10.1109/TVCG.2008.186 – ident: e_1_2_8_41_1 doi: 10.1109/TVCG.2007.16 – ident: e_1_2_8_16_1 doi: 10.1145/280814.280951 – ident: e_1_2_8_40_1 doi: 10.1145/1618452.1618454 – ident: e_1_2_8_24_1 doi: 10.1090/S0025-5718-98-00974-0 – start-page: 839 volume-title: Computer Vision, 1998. Sixth International Conference on year: 1998 ident: e_1_2_8_38_1 – ident: e_1_2_8_31_1 doi: 10.1111/j.1467-8659.2009.01388.x – start-page: 43 year: 2006 ident: e_1_2_8_18_1 article-title: Poisson surface reconstruction publication-title: Proceedings of the Eurographics Symposium on Geometry Processing 2006 – ident: e_1_2_8_28_1 doi: 10.1111/j.1467-8659.2010.01782.x – ident: e_1_2_8_33_1 doi: 10.1109/TIP.2008.2009800 – ident: e_1_2_8_7_1 doi: 10.1145/1015706.1015713 – start-page: 149 volume-title: Proceedings of the Eurographics Symposium on Point‐Based Graphics year: 2004 ident: e_1_2_8_3_1 – ident: e_1_2_8_27_1 doi: 10.1111/j.1467-8659.2012.03174.x – ident: e_1_2_8_20_1 doi: 10.1111/j.1467-8659.2011.01882.x – ident: e_1_2_8_5_1 doi: 10.1145/1516522.1516531 – ident: e_1_2_8_23_1 doi: 10.1109/TVCG.2008.81 – ident: e_1_2_8_13_1 doi: 10.1111/j.1467-8659.2008.01163.x – ident: e_1_2_8_36_1 doi: 10.1145/1015706.1015816 – ident: e_1_2_8_22_1 doi: 10.1145/1274871.1274878 – ident: e_1_2_8_37_1 doi: 10.1109/34.103273 – start-page: 433 volume-title: Proceedings of the IEEE International Conference on Computer Vision year: 1987 ident: e_1_2_8_9_1 – volume-title: Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation year: 2007 ident: e_1_2_8_8_1 doi: 10.1093/oso/9780199205219.001.0001 – ident: e_1_2_8_10_1 doi: 10.1007/3-540-31272-2_2 – ident: e_1_2_8_4_1 doi: 10.1145/1108590.1108592 – start-page: 147 volume-title: NPAR '11: Proceedings of the Symposium on Non‐Photorealistic Animation and Rendering year: 2011 ident: e_1_2_8_39_1 – ident: e_1_2_8_14_1 doi: 10.1145/133994.134011 – ident: e_1_2_8_30_1 doi: 10.1007/978-3-642-03596-8_15 – start-page: 145 year: 1987 ident: e_1_2_8_34_1 article-title: Direct least‐squares fitting of algebraic surfaces publication-title: Proceedings of the SIGGRAPH '87 doi: 10.1145/37402.37420 – ident: e_1_2_8_15_1 doi: 10.1145/987657.987676 – ident: e_1_2_8_17_1 doi: 10.1145/1618452.1618522 – ident: e_1_2_8_26_1 doi: 10.1017/S0266466600011129 – ident: e_1_2_8_35_1 doi: 10.1145/1141911.1141920 – start-page: 51 year: 2008 ident: e_1_2_8_19_1 article-title: Image abstraction by structure adaptive filtering publication-title: Proceedings of the EG UK Theory and Practice of Computer Graphics – ident: e_1_2_8_11_1 doi: 10.1145/1073204.1073227 – ident: e_1_2_8_29_1 doi: 10.1142/S0218195904001470 – ident: e_1_2_8_12_1 doi: 10.1145/1276377.1276406 – ident: e_1_2_8_32_1 doi: 10.1137/0727053 – start-page: 243 volume-title: Proceedings of the Shape Modeling International year: 2004 ident: e_1_2_8_2_1 – ident: e_1_2_8_21_1 doi: 10.1111/j.1467-8659.2009.01574.x |
| SSID | ssj0004765 |
| Score | 2.2426536 |
| Snippet | We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics... We introduce a new approach for defining continuous non-oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics... |
| SourceID | hal proquest crossref wiley istex |
| SourceType | Open Access Repository Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 98 |
| SubjectTerms | Analysis and systems Approximation Computer graphics Computer Science curves and surfaces Graphics I.3.3 [Computer Graphics]: Picture/Image Generation-Display algorithms I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Geometric algorithms I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling—Geometric algorithms, languages, and systems Image Processing languages Studies surface reconstruction |
| Title | Non-Oriented MLS Gradient Fields |
| URI | https://api.istex.fr/ark:/67375/WNG-ZKM3GM7J-1/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1111%2Fcgf.12164 https://www.proquest.com/docview/1462025511 https://www.proquest.com/docview/1494365550 https://inria.hal.science/hal-00857265 |
| Volume | 32 |
| WOSCitedRecordID | wos000327433800009&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/eLvHCXMwpV1fTxNBEJ-Ulgd5UAGNFTQHIcSXS9rbf3fhiaDXRks1IIHwspndbpVorqYtxEc_gp-RT8LO9u4sCSYmvl1u55LdnZmdmb2Z3wDsMefNXBcxtg47Mc-cidMxz2IvPAqz1GYmxdBsQg2H6cVF9qkBB1UtzAIfor5wI80I5zUpOJrZkpLbL2OCRpB8BVqJl1vehNbbk_xs8KcsUklRQXsTaEwJLESJPPXH98zRyldKhmzR_v6853Eu-63B8ORP_mvKT-Fx6W9GhwsBWYeGKzZgbQmFcBN2h5Pi9tfvj4R47P3P6HhwGvWmIRVsHuWU4TZ7Bmf5u89H_bhsnRBbzhSPkSsf10jpLfAITUeZtGOFUwLHDJFLZtXIG38kuLeREcqI1KScMW6QGWHRsefQLCaFewHRyKJKHGZcjrvcyA5a7zGxxFANtksQ2_Cm2kFtS1xxam_xXVfxhV-2Dstuw25N-mMBpvEgkWdDPU7w1_3DgaZ3AY4_keKm24b9wKWaDKffKEVNCX0-7OnLD8d0hLzXnnC7YqMutXNG4U5CsVTXD-_Uw16v6GcJFm5yTTQZZ1L4AM4vMDD171PWR708PLz8d9IteJRQZ42QGbMNzfn02r2CVXszv5pNX5eifAe77fJr |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1fb9MwED9tLdLggX8DrTBGmBDaS6Q2tuNE4mUapIWlAcEmpr1YZ9cFNJSitpv2uI_AZ9wnmc9Nsk4CaRJvUXyR7Pvju3POvwN4zaxzcz3E0Fjshjy1OkzGPA2d8khME5PqBH2zCVkUydFR-nkF3tZ3YRb4EM2BG1mG36_JwOlAesnKzfcxYSPEfBXa3KmRaEH73ZfsML--FyljUWN7E2pMhSxElTzNxzf80eoPqoZsE4PPb4Scy4Gr9zzZg_-b80O4X0Wcwe5CRR7Bii0fw70lHMJ12C4m5eXFn0-Eeewi0GCYfw36U18MNg8yqnGbPYHD7P3B3iCsmieEhjPJQ-TSZTZx7HzwCHVX6qRrhJUCxwzRscvIkXP_SIBvIy2kFolOOGNcI9PCoGVPoVVOSrsBwcigjCymPB73uI67aFzMxCJNt7BthNiBnZqFylTI4tTg4peqMwy3bOWX3YHthvT3Ak7jr0RODs04AWAPdnNF7zwgfxSLs14H3ngxNWQ4PaEiNSnUt6KvjveHtIl8VI5ws5ajquxzRglPRNlUzw2_aoadZdHvEizt5JRoUs5i4VI4t0Av1X9PWe31M__w7PakL2FtcDDMVf6h2H8OdyPqs-HrZDahNZ-e2hdwx5zNf86mW5VeXwFMDvZb |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1fa9RAEB_anog-WP_iaauxiPgSuMv-S8CX0jZX7TUWtVj6ssxuNipKrtxdi49-BD-jn6Q7e0m8goLgW8hMYGdnZ2dmM_sbgOfMeTc3RIytw0HMM2fitOJZ7BePwiy1mUkxNJtQRZGenGRHK_CqvQuzwIfoDtzIMsJ-TQbuzspqycrtp4qwESRfhR4XmfRm2dt9lx-Pf9-LVFK02N6EGtMgC1ElT_fxFX-0-pmqIXs0wd-vhJzLgWvwPPn6_435NtxqIs5oe7FE7sCKq-_CzSUcwnuwVUzqXz9-viXMYx-BRofj99FoGorB5lFONW6z-3Cc733Y2Y-b5gmx5UzxGLnymY2U3geXaAbKpAMrnBJYMUQumVWld_9IgG-lEcqI1KScMW6QGWHRsQewVk9q9xCi0qJKHGZcVkNu5ACtj5lYYugWtksQ-_CynUJtG2RxanDxTbcZhhdbB7H7sNWxni3gNP7I5PXQ0QkAe397rOldAORPpLgY9uFFUFPHhtOvVKSmhP5YjPTpwSFtIm-0Z9xo9agb-5xRwpNQNjX05Gcd2VsW_S7B2k3OiSfjTAqfwnkBg1b_PmS9M8rDw6N_Z30K1492cz1-XRw8hhsJtdkIZTIbsDafnrtNuGYv5l9m0yfNsr4E4-v11g |
| 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=Non-Oriented+MLS+Gradient+Fields&rft.jtitle=Computer+graphics+forum&rft.au=Chen%2C+Jiazhou&rft.au=Guennebaud%2C+Ga%C3%ABl&rft.au=Barla%2C+Pascal&rft.au=Granier%2C+Xavier&rft.date=2013-12-01&rft.pub=Blackwell+Publishing+Ltd&rft.issn=0167-7055&rft.eissn=1467-8659&rft.volume=32&rft.issue=8&rft.spage=98&rft.epage=109&rft_id=info:doi/10.1111%2Fcgf.12164&rft.externalDBID=n%2Fa&rft.externalDocID=ark_67375_WNG_ZKM3GM7J_1 |
| 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 |