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...

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Vydané v:Computer graphics forum Ročník 32; číslo 6; s. 51 - 76
Hlavní autori: Bommes, David, Lévy, Bruno, Pietroni, Nico, Puppo, Enrico, Silva, Claudio, Tarini, Marco, Zorin, Denis
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford Blackwell Publishing Ltd 01.09.2013
Wiley
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ISSN:0167-7055, 1467-8659
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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
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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
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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
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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
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Itoh T. (e_1_2_7_59_1) 2001
e_1_2_7_101_1
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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
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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
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Ben‐Chen M. (e_1_2_7_8_1) 2008
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Eck M. (e_1_2_7_37_1) 1995
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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
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Khodakovsky A. (e_1_2_7_63_1) 2000
Lee A. (e_1_2_7_73_1) 1998
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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
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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...
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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
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https://onlinelibrary.wiley.com/doi/abs/10.1111%2Fcgf.12014
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https://www.proquest.com/docview/1448713271
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Volume 32
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