Mesh parameterization: Theory and practice

ACM SIGGRAPH ASIA 2008 Courses, SIGGRAPH Asia'08

Volumn , Issue , 2008, Pages

  Hormann, Kai ^a   Polthier, Konrad ^b   Sheffer, Alla ^c  

^a CLAUSTHAL UNIVERSITY OF TECHNOLOGY   (Germany)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

^c UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649863781     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1508044.1508091     Document Type: Conference Paper

References (284)

1. J. H. Ahlberg, E. N. Nilson, and J. L.Walsh. The theory of splines and their applications. Academic Press, New York, 1967.
2. B. Aksoylu, A. Khodakovsky, and P. Schróder. Multilevel solvers for unstructured surface meshes. SIAM Journal on Scientific Computing, 26(4):1146-1165, 2005. (Pubitemid 41205807)
3. M. Alexa. Merging polyhedral shapes with scattered features. The Visual Computer, 16 (1):26-37, 2000. (Pubitemid 30883154)
4. M. Alexa. Recent advances in mesh morphing. Computer Graphics Forum, 21(2):173-196, 2002. (Pubitemid 34750959)
5. B. Allen, B. Curless, and Z. Popoví. The space of human body shapes: reconstruction and parameterization from range scans. ACM Transactions on Graphics, 22(3):587-594, 2003. Proceedings of SIGGRAPH 2003.
6. P. Alliez and C. Gotsman. Recent advances in compression of 3D meshes. In N. A. Dodgson, M. S. Floater, and M. A. Sabin, editors, Advances in Multiresolution for Geometric Modelling, Mathematics and Visualization, pages 3-26. Springer, Berlin, Heidelberg, 2005.
7. P. Alliez, D. Cohen-Steiner, O. Devillers, B. Lévy, and M. Desbrun. Anisotropic polygonal remeshing. ACM Transactions on Graphics, 22(3):485-493, 2003. Proceedings of SIGGRAPH 2003.
8. P. Alliez, M. Attene, C. Gotsman, and G. Ucelli. Recent advances in remeshing of surfaces. In L. De Floriani and M. Spagnuolo, editors, Shape Analysis and Structuring, Mathematics and Visualization, pages 53-82. Springer, Berlin, Heidelberg, 2008.
9. D. Anguelov, P. Srinivasan, D. Koller, S. Thrun, J. Rodgers, and J. Davis. SCAPE: Shape completion and animation of people. ACM Transactions on Graphics, 24(3): 408-416, 2005. Proceedings of SIGGRAPH 2005.
10. N. Arad and G. Elber. Isometric texture mapping for free-form surfaces. Computer Graphics Forum, 16(5):247-256, 1997. (Pubitemid 127613214)
11. P. N. Azariadis and N. A. Aspragathos. On using planar developments to perform texture mapping on arbitrarily curved surfaces. Computers & Graphics, 24(4):539-554, 2000. (Pubitemid 30916768)
12. L. Balmelli, G. Taubin, and F. Bernardini. Space-optimized texture maps. Computer Graphics Forum, 21(3):411-420, 2002. Proceedings of Eurographics 2002. (Pubitemid 35048012)
13. A. Belyaev. On transfinite barycentric coordinates. In Proceedings of the 4th Eurographics Symposium on Geometry Processing (SGP 2006), pages 89-99. Eurographics Association, 2006.
14. M. Ben-Chen, C. Gotsman, and G. Bunin. Conformal fiattening by curvature prescription and metric scaling. Computer Graphics Forum, 27(2):449-458, 2008. Proceedings of Eurographics 2008. (Pubitemid 351612862)
15. C. Bennis, J.-M. Vézien, and G. Iglésias. Piecewise surface fiattening for non-distorted texture mapping. ACM SIGGRAPH Computer Graphics, 25(4):237-246, 1991. Proceedings of SIGGRAPH '91.
16. E. Bier and K. Sloan. Two-part texture mappings. IEEE Computer Graphics and Applications, 6(9):40-53, 1986.
17. H. Biermann, I. Martin, F. Bernardini, and D. Zorin. Cut-and-paste editing of multiresolution surfaces. ACM Transactions on Graphics, 21(3):312-321, 2002. Proceedings of SIGGRAPH 2002.
18. H. Birkholz. Shape-preserving parametrization of genus 0 surfaces. In Proceedings of the 12th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision (WSCG 2004), pages 57-64, 2004.
19. V. Blanz and T. Vetter. A morphable model for the synthesis of 3D faces. In Proceedings of SIGGRAPH '99, pages 187-194. ACM Press, 1999.
20. V. Blanz, C. Basso, T. Poggio, and T. Vetter. Reanimating faces in images and video. Computer Graphics Forum, 22(3):641-650, 2003. Proceedings of Eurographics 2003.
21. V. Blanz, K. Scherbaum, T. Vetter, and H.-P. Seidel. Exchanging faces in images. Computer Graphics Forum, 23(3):669-676, 2004. Proceedings of Eurographics 2004.
22. J. F. Blinn. Simulation of wrinkled surfaces. ACM SIGGRAPH Computer Graphics, 12 (3):286-292, 1978. Proceedings of SIGGRAPH '78. (Pubitemid 9404426)
23. T. Bobach, G. Farin, D. Hansford, and G. Umlauf. Discrete harmonic functions from local coordinates. In R. Martin, M. Sabin, and J. Winkler, editors, Mathematics of Surfaces XII, volume 4647 of Lecture Notes in Computer Science, pages 93-103. Springer, 2007. Proceedings of the 12th IMA International Conference.
24. A. I. Bobenko and B. A. Springborn. Variational principles for circle patterns and koebe's theorem. Transactions of the American Mathematical Society, 356(2):659-689, 2004. (Pubitemid 38148717)
25. I. Boier-Martin, H. Rushmeier, and J. Jin. Parameterization of triangle meshes over quadrilateral domains. In Proceedings of the Second Eurographics Symposium on Geometry Processing (SGP 2004), pages 193-203. Eurographics Association, 2004.
26. M. Botsch, D. Bommes, and L. Kobbelt. Efficient linear system solvers for mesh processing. In Mathematics of Surfaces XI, volume 3604 of Lecture Notes in Computer Science, pages 62-83. Springer, Berlin, Heidelberg, 2005. Proceedings of the 11th IMA International Conference.
27. P. L. Bowers and M. K. Hurdal. Planar conformal mappings of piecewise flat surfaces. In H.-C. Hege and K. Polthier, editors, Visualization and Mathematics III, pages 3-34.Springer, Heidelberg, 2003
28. S. C. Brenner and L. R. Scott. The mathematical theory of finite element methods, volume 15 of Texts in Applied Mathematics. Springer, second edition, 2002.
29. S. Campagna and H.-P. Seidel. Parameterizing meshes with arbitrary topology. In Proceedings of Image and Multidimensional Digital Signal Processing '98, pages 287- 290, 1998.
30. N. A. Carr and J. C. Hart. Meshed atlases for real-time procedural solid texturing. ACM Transactions on Graphics, 21(2):106-131, 2002. (Pubitemid 44769728)
31. N. A. Carr and J. C. Hart. Painting detail. ACM Transactions on Graphics, 23(3): 587-594, 2004. Proceedings of SIGGRAPH 2004.
32. N. A. Carr, J. Hoberock, K. Crane, and J. C. Hart. Rectangular multi-chart geometry images. In Proceedings of the 4th Eurographics Symposium on Geometry Processing (SGP 2006), pages 181-190. Eurographics Association, 2006.
33. Z. Chen, L. Liu, Z. Zhang, and G. Wang. Surface parameterization via aligning optimal local flattening. In Proceedings of the 2007 Symposium on Solid and Physical Modeling (SPM '07), pages 291-296. ACM Press, 2007. (Pubitemid 47582492)
34. G. Choquet. Sur un type de transformation analytique géné ralisant la représentation conforme et définé au moyen de fonctions harmoniques. Bulletin des Sciences Mathé- matiques, 69:156-165, 1945.
35. B. Chow and F. Luo. Combinatorial ricci flows on surfaces. Journal of Differential Geometry, 63(1):97-129, 2003. (Pubitemid 37306406)
36. F. R. K. Chung. Spectral Graph Theory. Number 92 in CBMS Regional Conference Series in Mathematics. American Mathematical Society, 1997.
37. B. Cipra. You can't always hear the shape of a drum. In What's Happening in the Mathematical Sciences, volume 1. American Mathematical Society, Providence, RI, 1993.
38. U. Clarenz, N. Litke, and M. Rumpf. Axioms and variational problems in surface parameterization. Computer Aided Geometric Design, 21(8):727-749, 2004.
39. D. Cohen-Steiner, P. Alliez, and M. Desbrun. Variational shape approximation. ACM Transactions on Graphics, 23(3):905-914, 2004. Proceedings of SIGGRAPH 2004. (Pubitemid 40163796)
40. C. R. Collins and K. Stephenson. A circle packing algorithm. Computational Geometry: Theory and Applications, 25(3):233-256, 2003.
41. R. Courant. Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces. Interscience, New York, 1950.
42. Y. C. de Verdière. On a new graph invariant and a criterion for planarity. In Graph Structure Theory, volume 147 of Contemporary Mathematics, pages 137-148. American Mathematical Society, 1993.
43. P. Degener, J. Meseth, and R. Klein. An adaptable surface parameterization method. In Proceedings of the 12th International Meshing Roundtable (IMR 2003), pages 201-213, 2003.
44. M. Desbrun, M. Meyer, and P. Alliez. Intrinsic parameterizations of surface meshes. Computer Graphics Forum, 21(3):209-218, 2002. Proceedings of Eurographics 2002. (Pubitemid 35047991)
45. M. do Carmo. Differential geometry of curves and surfaces. Prentice Hall, 1976.
46. S. Dong and M. Garland. Iterative methods for improving mesh parameterizations. In Proceedings of Shape Modeling International (SMI '07), pages 199-210. IEEE Computer Society, 2007. (Pubitemid 351165460)
47. S. Dong, P.-T. Bremer, M. Garland, V. Pascucci, and J. C. Hart. Quadrangulating a mesh using Laplacian eigenvectors. Technical Report UIUCDCS-R-2005-2583, University of Illinois, June 2005a.
48. S. Dong, S. Kircher, and M. Garland. Harmonic functions for quadrilateral remeshing of arbitrary manifolds. Comp. Aided Design, 22(4):392-423, 2005b.
49. S. Dong, P.-T. Bremer, M. Garland, V. Pascucci, and J. C. Hart. Spectral surface quadrangulation. ACM Transactions on Graphics, 25(3):1057-1066, 2006. Proceedings of SIGGRAPH 2006. (Pubitemid 44481068)
50. J. Douglas. Solution of the problem of Plateau. Transactions of the American Mathematical Society, 33(1):263-321, 1931.
51. T. Duchamp, A. Certain, T. DeRose, and W. Stuetzle. Hierarchical computation of PL harmonic embeddings. Technical report, University of Washington, July 1997.
52. M. Eck, T. D. DeRose, T. Duchamp, H. Hoppe, M. Lounsbery, and W. Stuetzle. Multiresolution analysis of arbitrary meshes. In Proceedings of SIGGRAPH '95, pages 173-182. ACM Press, 1995.
53. I. Eckstein, V. Surazhsky, and C. Gotsman. Texture mapping with hard constraints. Computer Graphics Forum, 20(3):95-104, 2001. Proceedings of Eurographics 2001.
54. J. Erickson and S. Har-Peled. Optimally cutting a surface into a disk. Discrete & Computational Geometry, 31(1):37-59, 2004. (Pubitemid 38214325)
55. J. Erickson and K. Whittlesey. Greedy optimal homotopy and homology generators. In Proceedings of the 16th Symposium on Discrete Algorithms (SODA '05), pages 1038-1046. SIAM, 2005. (Pubitemid 40858027)
56. G. Farin. Surfaces over Dirichlet tessellations. Computer Aided Geometric Design, 7 (1-4):281-292, 1990. (Pubitemid 20736627)
57. H. M. Farkas and I. Kra. Riemann Surfaces. Springer Verlag, 1980.
58. H. Ferguson and A. Rockwood. Multiperiodic functions for surface design. Computer Aided Geometric Design, 10(3-4):315-328, 1993. (Pubitemid 23704224)
59. M. Fiedler. Algebraic connectivity of graphs. Czechoslovak Mathematical Journal, 23: 298-305, 1973.
60. M. Fiedler. A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. Czechoslovak Mathematical Journal, 25:619-633, 1975.
61. E. Fiume, A. Fournier, and V. Canale. Conformal texture mapping. In Proceedings of Eurographics '87, pages 53-64, 1987.
62. M. S. Floater. Parameterization and smooth approximation of surface triangulations. Computer Aided Geometric Design, 14(3):231-250, 1997. (Pubitemid 127403697)
63. M. S. Floater. Parametric tilings and scattered data approximation. International Journal of Shape Modeling, 4(3-4):165-182, 1998.
64. M. S. Floater. Meshless parameterization and B-spline surface approximation. In R. Cipolla and R. Martin, editors, The Mathematics of Surfaces IX, pages 1-18, London, 2000. Springer.
65. M. S. Floater. Convex combination maps. In J. Levesley, I. J. Anderson, and J. C. Mason, editors, Algorithms for Approximation IV, pages 18-23, 2002.
66. M. S. Floater. Mean value coordinates. Computer Aided Geometric Design, 20(1):19-27, 2003a.
67. M. S. Floater. One-to-one piecewise linear mappings over triangulations. Mathematics of Computation, 72(242):685-696, 2003b. (Pubitemid 36344890)
68. M. S. Floater and K. Hormann. Parameterization of triangulations and unorganized points. In A. Iske, E. Quak, and M. S. Floater, editors, Tutorials on Multiresolution in Geometric Modelling, Mathematics and Visualization, pages 287-316. Springer, Berlin, Heidelberg, 2002.
69. M. S. Floater and K. Hormann. Surface parameterization: a tutorial and survey. In N. A. Dodgson, M. S. Floater, and M. A. Sabin, editors, Advances in Multiresolution for Geometric Modelling, Mathematics and Visualization, pages 157-186. Springer, Berlin, Heidelberg, 2005.
70. M. S. Floater and M. Reimers. Meshless parameterization and surface reconstruction. Computer Aided Geometric Design, 18(2):77-92, 2001. (Pubitemid 32264938)
71. M. S. Floater, K. Hormann, and M. Reimers. Parameterization of manifold triangulations. In C. K. Chui, L. L. Schumaker, and J. Stöckler, editors, Approximation Theory X: Abstract and Classical Analysis, Innovations in Applied Mathematics, pages 197-209. Vanderbilt University Press, Nashville, TN, 2002.
72. M. S. Floater, G. Kós, and M. Reimers. Mean value coordinates in 3D. Computer Aided Geometric Design, 22(7):623-631, 2005. (Pubitemid 41276993)
73. M. S. Floater, K. Hormann, and G. Kós. A general construction of barycentric coordinates over convex polygons. Advances in Computational Mathematics, 24(1-4): 311-331, 2006.
74. J. D. Foley, A. van Dam, S. K. Feiner, and J. F. Hughes. Computer Graphics: Principles and Practice. Addison-Wesley, Boston, second edition, 1995.
75. I. Friedel, P. Schröder, and M. Desbrun. Unconstrained spherical parameterization. Journal of Graphics Tools, 12(1):17-26, 2007.
76. W. Fulton. Algebraic Topology, A first course. Springer Verlag, 1995.
77. V. A. Garanzha. Maximum norm optimization of quasi-isometric mappings. Numerical Linear Algebra with Applications, 9(6,7):493-510, 2002. (Pubitemid 37282591)
78. M. Garland, A. Willmott, and P. S. Heckbert. Hierarchical face clustering on polygonal surfaces. In Proceedings of the 2001 Symposium on Interactive 3D Graphics (SI3D '01), pages 49-58. ACM Press, 2001. (Pubitemid 32456893)
79. C. F. Gauyß. Disquisitiones generales circa superficies curvas. Commentationes Societatis Regiæ Scientiarum Gottingensis Recentiores, 6:99-146, 1827.
80. W. J. Gordon and J. A. Wixom. Pseudo-harmonic interpolation on convex domains. SIAM Journal on Numerical Analysis, 11(5):909-933, 1974.
81. S. J. Gortler, C. Gotsman, and D. Thurston. Discrete one-forms on meshes and applications to 3D mesh parameterization. Computer Aided Geometric Design, 23(2):83-112, 2006.
82. C. Gotsman. On graph partitioning, spectral analysis, and digital mesh processing. In Proceedings of Shape Modeling International (SMI '03), pages 165-171. IEEE Computer Society, 2003.
83. C. Gotsman, X. Gu, and A. Sheffer. Fundamentals of spherical parameterization for 3D meshes. ACM Transactions on Graphics, 22(3):358-363, 2003. Proceedings of SIGGRAPH 2003.
84. G. Greiner. Variational design and fairing of spline surfaces. Computer Graphics Forum, 13(3):143-154, 1994. Proceedings of Eurographics '94.
85. G. Greiner and K. Hormann. Interpolating and approximating scattered 3D-data with hierarchical tensor product B-splines. In A. L. Méhauté, C. Rabut, and L. L. Schumaker, editors, Surface Fitting and Multiresolution Methods, Innovations in Applied Mathematics, pages 163-172. Vanderbilt University Press, Nashville, 1997.
86. C. M. Grimm and J. F. Hughes. Modeling surfaces of arbitrary topology using manifolds. In Proceedings of SIGGRAPH '95, pages 359-368. ACM Press, 1995.
87. C. M. Grimm and J. F. Hughes. Parameterizing N-holed tori. In Mathematics of Surfaces, volume 2768 of Lecture Notes in Computer Science, pages 14-29. Springer, Berlin, Heidelberg, 2003. Proceedings of the 10th IMA International Conference.
88. L. Gross and G. Farin. A transfinite form of Sibson's interpolant. Discrete Applied Mathematics, 93(1):33-50, 1999. (Pubitemid 129550478)
89. X. Gu and S.-T. Yau. Computing conformal structures of surfaces. Communications in Information and Systems, 2(2):121-146, 2002.
90. X. Gu and S.-T. Yau. Global conformal surface parameterization. In Proceedings of the first Eurographics Symposium on Geometry Processing (SGP 2003), pages 127-137. Eurographics Association, 2003.
91. X. Gu, S. J. Gortler, and H. Hoppe. Geometry images. ACM Transactions on Graphics, 21(3):355-361, 2002. Proceedings of SIGGRAPH 2002.
92. X. Gu, Y. Wang, and S.-T. Yau. Computing conformal invariants: Period matrices. Communications in Information and Systems, 3(3):153-170, 2003a.
93. X. Gu, Y. Wang, and S.-T. Yau. Geometric compression using Riemann surface structure. Communications in Information and Systems, 3(3):171-182, 2003b.
94. X. Gu, Y. Wang, T. F. Chan, P. M. Thompson, and S.-T. Yau. Genus zero surface conformal mapping and its application to brain surface mapping. IEEE Transaction on Medical Imaging, 23(8):949-958, 2004a.
95. X. Gu, Y. Wang, and S.-T. Yau. Multiresolution computation of conformal structures of surfaces. Journal of Systemics, Cybernetics and Informatics, 1(5):45-50, 2004b.
96. Guskov. An anisotropic mesh parameterization scheme. Engineering with Computers, 20(2):129-135, 2004. (Pubitemid 40784272)
97. I. Guskov, W. Sweldens, and P. Schröder. Multiresolution signal processing for meshes. In Proceedings of SIGGRAPH '99, pages 325-334. ACM Press, 1999.
98. I. Guskov, K. Vidimče, W. Sweldens, and P. Schröder. Normal meshes. In Proceedings of SIGGRAPH 2000, pages 95-102. ACM Press, 2000. (Pubitemid 32393970)
99. I. Guskov, A. Khodakovsky, P. Schröder, and W. Sweldens. Hybrid meshes: Multiresolution using regular and irregular refinement. In Proceedings of the 18th Annual Symposium on Computational Geometry (SCG '02), pages 264-272. ACM Press, 2002. (Pubitemid 34975550)
100. S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6(2):181-189, 2000. (Pubitemid 30893873)
101. Y. He, X. Gu, and H. Qin. Rational spherical splines for genus zero shape modeling. In Proceedings of the 2005 International Conference on Shape Modeling and Applications (SMI '05), pages 82-91. IEEE Computer Society, 2005. (Pubitemid 46061150)
102. A. Hertzmann and D. Zorin. Illustrating smooth surfaces. In ACM SIGGRAPH, pages 517-526, 2000. (Pubitemid 32394016)
103. A. Hirani. Discrete Exterior Calculus. PhD thesis, California Institute of Technology, Pasadena, CA, 2003.
104. H. Hiyoshi and K. Sugihara. Voronoi-based interpolation with higher continuity. In Proceedings of the 16th Annual Symposium on Computational Geometry (SCG '00), pages 242-250. ACM Press, 2000. (Pubitemid 30886584)
105. H. Hoppe. Progressive meshes. In Proceedings of SIGGRAPH '96, pages 99-108. ACM Press, 1996.
106. H. Hoppe and E. Praun. Shape compression using spherical geometry images. In N. A. Dodgson, M. S. Floater, and M. A. Sabin, editors, Advances in Multiresolution for Geometric Modelling, Mathematics and Visualization, pages 27-46. Springer, Berlin, Heidelberg, 2005.
107. K. Hormann. Fitting free form surfaces. In B. Girod, G. Greiner, and H. Niemann, editors, Principles of 3D Image Analysis and Synthesis, volume 556 of The International Series in Engineering and Computer Science, chapter 4.7, pages 192-202. Kluwer Academic Publishers, Boston, MA, 2000.
108. K. Hormann. Theory and Applications of Parameterizing Triangulations. PhD thesis, Department of Computer Science, University of Erlangen, Nov. 2001.
109. K. Hormann and M. S. Floater. Mean value coordinates for arbitrary planar polygons. ACM Transactions on Graphics, 25(4):1424-1441, 2006. (Pubitemid 44917211)
110. K. Hormann and G. Greiner. MIPS: An efficient global parametrization method. In P.- J. Laurent, P. Sablonnière, and L. L. Schumaker, editors, Curve and Surface Design: Saint-Malo 1999, Innovations in Applied Mathematics, pages 153-162. Vanderbilt University Press, Nashville, TN, 2000a.
111. K. Hormann and G. Greiner. Quadrilateral remeshing. In B. Girod, G. Greiner, H. Niemann, and H.-P. Seidel, editors, Proceedings of Vision, Modeling, and Visualization 2000, pages 153-162, Saarbrücken, Germany, 2000b. infix.
112. K. Hormann and M. Reimers. Triangulating point clouds with spherical topology. In T. Lyche, M.-L. Mazure, and L. L. Schumaker, editors, Curve and Surface Design: Saint-Malo 2002, Modern Methods in Applied Mathematics, pages 215-224. Nashboro Press, Brentwood, TN, 2003.
113. K. Hormann and N. Sukumar. Maximum entropy coordinates for arbitrary polytopes. Computer Graphics Forum, 27(5):1513-1520, 2008. Proceedings of SGP 2008.
114. K. Hormann and M. Tarini. A quadrilateral rendering primitive. In Proceedings of the 2004 Workshop on Graphics Hardware (GH 2004), Eurographics Symposium Proceedings, pages 7-14. Eurographics Association, 2004.
115. K. Hormann, G. Greiner, and S. Campagna. Hierarchical parametrization of triangulated surfaces. In B. Girod, H. Niemann, and H.-P. Seidel, editors, Proceedings of Vision, Modeling, and Visualization 1999, pages 219-226, Erlangen, Germany, 1999. infix.
116. K. Hormann, U. Labsik, and G. Greiner. Remeshing triangulated surfaces with optimal parameterizations. Computer-Aided Design, 33(11):779-788, 2001. (Pubitemid 33034166)
117. M. K. Hurdal, P. L. Bowers, K. Stephenson, D. W. L. Sumners, K. Rehm, K. Schaper, and D. A. Rottenberg. Quasi-conformally flat mapping the human cerebellum. In Medical Image Computing and Computer-Assisted Intervention (MICCAI '99), volume 1679 of Lecture Notes in Computer Science, pages 279-286. Springer, Berlin, Heidelberg, 1999
118. T. Igarashi and D. Cosgrove. Adaptive unwrapping for interactive texture painting. In Proceedings of the 2001 Symposium on Interactive 3D Graphics (SI3D '01), pages 209-216. ACM Press, 2001. (Pubitemid 32456917)
119. M. Isenburg and P. Lindstrom. Streaming meshes. In Proceedings of IEEE Visualization 2005, pages 231-238. IEEE Computer Society, 2005.
120. M. Isenburg, S. Gumhold, and C. Gotsman. Connectivity shapes. In Proceedings of IEEE Visualization 2001, pages 135-142. IEEE Computer Society, 2001. (Pubitemid 33068220)
121. M. Jin, Y. Wang, S.-T. Yau, and X. Gu. Optimal global conformal surface parameterization. In Proceedings of IEEE Visualization 2004, pages 267-74. IEEE Computer Society, 2004. (Pubitemid 40509610)
122. M. Jin, F. Luo, and X. Gu. Computing surface hyperbolic structure and real projective structure. In Proceedings of the 2006 Symposium on Solid and Physical Modeling (SPM '06), pages 105-116. ACM Press, 2006. (Pubitemid 44059983)
123. M. Jin, J. Kim, and X. Gu. Discrete surface ricci flow: Theory and applications. In R. Martin, M. Sabin, and J. Winkler, editors, Mathematics of Surfaces XII, volume 4647 of Lecture Notes in Computer Science, pages 209-232. Springer, 2007. Proceedings of the 12th IMA International Conference.
124. P. Joshi, M. Meyer, T. DeRose, B. Green, and T. Sanocki. Harmonic coordinates for character articulation. ACM Trans. Gr., 26(3):Article 71, 2007. Proceedings of ACM SIGGRAPH 2007. (Pubitemid 47224774)
125. J. Jost. Compact Riemann Surfaces. Springer, 2002.
126. T. Ju, S. Schaefer, and J. Warren. Mean value coordinates for closed triangular meshes. ACM Transactions on Graphics, 24(3):561-566, 2005a. Proceedings of ACM SIGGRAPH 2005.
127. T. Ju, S. Schaefer, J. Warren, and M. Desbrun. A geometric construction of coordinates for convex polyhedra using polar duals. In Proceedings of the Third Eurographics Symposium on Geometry Processing (SGP 2005), pages 181-186. Eurographics Association, 2005b.
128. T. Ju, P. Liepa, and J. Warren. A general geometric construction of coordinates in a convex simplicial polytope. Computer Aided Geometric Design, 24(3):161-178, 2007. (Pubitemid 46349283)
129. D. Julius, V. Kraevoy, and A. Sheffer. D-charts: Quasi-developable mesh segmentation. Computer Graphics Forum, 24(3):581-590, 2005. Proceedings of Eurographics 2005. (Pubitemid 43934675)
130. M. Kac. Can one hear the shape of a drum? American Mathematical Monthly, 73(4), 1966.
131. F. Kälberer, M. Nieser, and K. Polthier. Quadcover-surface parameterization using branched coverings. Computer Graphics Forum, 26(3):375-384, 2007. Proceedings of Eurographics 2007. (Pubitemid 47606915)
132. Z. Karni and C. Gotsman. Spectral compression of mesh geometry. In Proceedings of SIGGRAPH 2000, pages 279-286. ACM Press, 2000. (Pubitemid 32393991)
133. Z. Karni, C. Gotsman, and S. J. Gortler. Free-boundary linear parameterization of 3D meshes in the presence of constraints. In Proceedings of the 2005 International Conference on Shape Modeling and Applications (SMI '05), pages 266-275. IEEE Computer Society, 2005. (Pubitemid 46061168)
134. L. Kharevych, B. Springborn, and P. Schröder. Discrete conformal mappings via circle patterns. ACM Transactions on Graphics, 25(2):412-438, 2006. (Pubitemid 44023265)
135. A. Khodakovsky, N. Litke, and P. Schröder. Globally smooth parameterizations with low distortion. ACM Transactions on Graphics, 22(3):350-357, 2003. Proceedings of SIGGRAPH 2003.
136. W. Klingenberg. A Course in Differential Geometry. Springer, Berlin, Heidelberg, 1978
137. H. Kneser. Lösung der Aufgabe 41. Jahresbericht der Deutschen Mathematiker- Vereinigung, 35:123-124, 1926.
138. L. P. Kobbelt, J. Vorsatz, U. Labsik, and H.-P. Seidel. A shrink-wrapping approach to remeshing polygonal surfaces. Computer Graphics Forum, 18(3):119-130, 1999. Proceedings of Eurographics 1999.
139. S. Kolmanǐ and N. Guid. The flattening of arbitrary surfaces by approximation with developable stripes. In U. Cugini and M. J. Wozny, editors, From geometric modeling to shape modeling, volume 80 of International Federation for Information Processing, pages 35-46. Kluwer Academic Publishers, Boston, 2001.
140. Y. Koren. On spectral graph drawing. In Computing and Combinatorics, volume 2697 of Lecture Notes in Computer Science, pages 496-508. Springer, Berlin, Heidelberg, 2003. Proceedings of the 9th Annual International Conference (COCOON 2003). (Pubitemid 36892260)
141. G. Kós and T. Várady. Parameterizing complex triangular meshes. In T. Lyche, M.-L. Mazure, and L. L. Schumaker, editors, Curve and Surface Design: Saint-Malo 2002, Modern Methods in Mathematics, pages 265-274. Nashboro Press, Brentwood, TN, 2003.
142. V. Kraevoy and A. Sheffer. Cross-parameterization and compatible remeshing of 3D models. ACM Transactions on Graphics, 23(3):861-869, 2004. Proceedings of SIGGRAPH 2004. (Pubitemid 40163791)
143. V. Kraevoy and A. Sheffer. Template based mesh completion. In Proceedings of the Third Eurographics Symposium on Geometry Processing (SGP 2005), pages 13-22. Eurographics Association, 2005.
144. V. Kraevoy, A. Sheffer, and C. Gotsman. Matchmaker: constructing constrained texture maps. ACM Transactions on Graphics, 22(3):326-333, 2003. Proceedings of SIGGRAPH 2003.
145. E. Kreyszig. Differential Geometry. Dover, New York, 1991.
146. U. Labsik, K. Hormann, and G. Greiner. Using most isometric parametrizations for remeshing polygonal surfaces. In R. Martin and W. Wang, editors, Proceedings of Geometric Modeling and Processing 2000, pages 220-228, Hong Kong, China, 2000. IEEE Computer Society.
147. J. H. Lambert. Beyträge zum Gebrauche der Mathematik und deren Anwendung, volume 3. Buchhandlung der Realschule, Berlin, 1772.
148. T. Langer and H.-P. Seidel. Higher order barycentric coordinates. Computer Graphics Forum, 27(2):459-466, 2008. Proceedings of Eurographics 2008. (Pubitemid 351612863)
149. T. Langer, A. Belyaev, and H.-P. Seidel. Spherical barycentric coordinates. In Proceedings of the 4th Eurographics Symposium on Geometry Processing (SGP 2006), pages 81-88. Eurographics Association, 2006.
150. 3. In P. Chenin, T. Lyche, and L. L. Schumaker, editors, Curve and Surface Design: Avignon 2006, Modern Methods in Applied Mathematics, pages 193-202. Nashboro Press, Brentwood, TN, 2007.
151. F. Lazarus, M. Pocchiola, G. Vegter, and A. Verroust. Computing a canonical polygonal schema of an orientable triangulated surface. In Proceedings of the 17th Annual Symposium on Computational Geometry (SCG '01), pages 80-89. ACM Press, 2001.
152. A. Lee, H. Moreton, and H. Hoppe. Displaced subdivision surfaces. In Proceedings of SIGGRAPH 2000, pages 85-94. ACM Press, 2000. (Pubitemid 32393969)
153. A. W. F. Lee, W. Sweldens, P. Schröder, L. Cowsar, and D. Dobkin. MAPS: Multiresolution adaptive parameterization of surfaces. In Proceedings of SIGGRAPH '98, pages 95-104. ACM Press, 1998.
154. A. W. F. Lee, D. Dobkin, W. Sweldens, and P. Schröder. Multiresolution mesh morphing. In Proceedings of SIGGRAPH '99, pages 343-350. ACM Press, 1999.
155. E. T. Y. Lee. Choosing nodes in parametric curve interpolation. Computer-Aided Design, 21(6):363-370, 1989.
156. Y. Lee, H. S. Kim, and S. Lee. Mesh parameterization with a virtual boundary. Computers & Graphics, 26(5):677-686, 2002. (Pubitemid 35152301)
157. J. Lengyel, E. Praun, A. Finkelstein, and H. Hoppe. Real-time fur over arbitrary surfaces. In Proceedings of the 2001 Symposium on Interactive 3D Graphics (SI3D '01), pages 227-232. ACM Press, 2001. (Pubitemid 32456919)
158. B. Lévy. Constrained texture mapping for polygonal meshes. In Proceedings of SIGGRAPH 2001, pages 417-424. ACM Press, 2001. (Pubitemid 33047328)
159. B. Lévy. Dual domain extrapolation. ACM Transactions on Graphics, 22(3):364-369, 2003. Proceedings of SIGGRAPH 2003.
160. B. Lévy. Laplace-Beltrami eigenfunctions: Towards an algorithm that "understands" geometry. In Proceedings of the 2006 International Conference on Shape Modeling and Applications (SMI '06), pages 65-72. IEEE Computer Society, 2006.
161. B. Lévy and J.-L. Mallet. Non-distorted texture mapping for sheared triangulated meshes. In Proceedings of SIGGRAPH '98, pages 343-352. ACM Press, 1998.
162. B. Lévy, S. Petitjean, N. Ray, and J. Maillot. Least squares conformal maps for automatic texture atlas generation. ACM Transactions on Graphics, 21(3):362-371, 2002. Proceedings of SIGGRAPH 2002.
163. W.-C. Li, N. Ray, and B. Lévy. Automatic and interactive mesh to T-spline conversion. In Proceedings of the 4th Eurographics Symposium on Geometry Processing (SGP 2006), pages 191-200. Eurographics Association, 2006.
164. J. Liesen, E. de Sturler, A. Sherffer, Y. Aydin, and C. Siefert. Preconditioners for indefinite linear systems arising in surface parameterization. In Proceedings of the 9th International Meshing Roundtable, pages 71-82, 2001. (Pubitemid 33236116)
165. Y. Lipman, J. Kopf, D. Cohen-Or, and D. Levin. GPU-assisted positive mean value coordinates for mesh deformations. In A. Belyaev and M. Garland, editors, Geometry Processing, Eurographics Symposium Proceedings, pages 117-123, Barcelona, Spain, 2007. Eurographics Association.
166. Y. Lipman, D. Levin, and D. Cohen-Or. Green coordinates. ACM Transactions on Graphics, 27(3):Article 78, 2008. Proceedings of SIGGRAPH 2008.
167. N. Litke, M. Droske, M. Rumpf, and P. Schröder. An image processing approach to surface matching. In Proceedings of the Third Eurographics Symposium on Geometry Processing (SGP 2005), pages 207-216. Eurographics Association, 2005.
168. L. Liu, L. Zhang, Y. Xu, C. Gotsman, and S. J. Gortler. A local/global approach to mesh parameterization. Computer Graphics Forum, 27(5):1495-1504, 2008. Proceedings of SGP 2008.
169. F. Losasso, H. Hoppe, S. Schaefer, and J. Warren. Smooth geometry images. In Proceedings of the First Eurographics Symposium on Geometry Processing (SGP 2003), pages 138-145. Eurographics Association, 2003.
170. L. Lovász and A. Schrijver. On the null space of a Colin de Verdière matrix. Annales de l'institut Fourier, 49(3):1017-1026, 1999.
171. S. D. Ma and H. Lin. Optimal texture mapping. In Proceedings of Eurographics '88, pages 421-428, 1988.
172. W. Ma and J. P. Kruth. Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces. Computer-Aided Design, 27(9):663-675, 1995.
173. J. Maillot, H. Yahia, and A. Verroust. Interactive texture mapping. In Proceedings of SIGGRAPH '93, pages 27-34. ACM Press, 1993.
174. E. A. Malsch and G. Dasgupta. Interpolations for temperature distributions: A method for all non-concave polygons. International Journal of Solids and Structures, 41(8): 2165-2188, 2004. (Pubitemid 38319488)
175. E. A. Malsch and G. Dasgupta. Algebraic construction of smooth interpolants on polygonal domains. The Mathematica Journal, 9(3):641-658, 2005.
176. E. A. Malsch, J. J. Lin, and G. Dasgupta. Smooth two dimensional interpolants: a recipe for all polygons. Journal of Graphics Tools, 10(2):27-39, 2005.
177. M. Marinov and L. Kobbelt. Direct anisotropic quad-dominant remeshing. In Proc. of the 12th Pacific Conf. on Comp. Graph. and Appl., pages 207-216, 2004. (Pubitemid 40540318)
178. M. Marinov and L. Kobbelt. A robust two-step procedure for quad-dominant remeshing. Computer Graphics Forum, 25(3):537-546, 2006. (Pubitemid 44891388)
179. S. R. Marschner, B. K. Guenter, and S. Raghupathy. Modeling and rendering for realistic facial animation. In B. Péroche and H. Rushmeier, editors, Rendering Techniques 2000, pages 231-242. Springer, Wien, New York, 2000. Proceedings of the 11th Eurographics Workshop on Rendering.
180. J. McCartney, B. K. Hinds, and B. L. Seow. The flattening of triangulated surfaces incorporating darts and gussets. Computer-Aided Design, 31(4):249-260, 1999.
181. W. H. Meeks. A survey of the geometric results in the classical theory of minimal surfaces. Bulletin of the Brazilian Mathematical Society, 12(1):29-86, 1981.
182. G. Mercator. Nova et aucta orbis terrae descriptio ad usum navigantium emendate accommodata. Duisburg, 1569.
183. O. Meshar, D. Irony, and S. Toledo. An out-of-core sparse symmetric indefinite factorization method. ACM Transactions on Mathematical Software, 32(3):445-471, 2006. (Pubitemid 44495250)
184. M. Meyer, H. Lee, A. H. Barr, and M. Desbrun. Generalized barycentric coordinates on irregular polygons. Journal of Graphics Tools, 7(1):13-22, 2002.
185. V. J. Milenkovic. Rotational polygon containment and minimum enclosure.
186. J. Mitani and H. Suzuki. Making papercraft toys from meshes using strip-based approximate unfolding. ACM Transactions on Graphics, 23(3):259-263, 2004. Proceedings of SIGGRAPH 2004. (Pubitemid 40163713)
187. F. Morgan. Riemannian Geometry: A Beginner's Guide. A K Peters, Wellesley, MA, second edition, 1998.
188. P. Mullen, Y. Tong, P. Alliez, and M. Desbrun. Spectral conformal parameterization. Computer Graphics Forum, 27(5):1487-1494, 2008. Proceedings of SGP 2008.
189. T. Needham. Visual Complex Analysis. Oxford University Press, Oxford, New York, 1997.
190. X. Ni, M. Garland, and J. C. Hart. Fair morse functions for extracting the topological structure of a surface mesh. ACM Transactions on Graphics, 23(3):613-622, 2004. Proceedings of SIGGRAPH 2004. (Pubitemid 40163758)
191. J. Nocedal and S. J. Wright. Numerical Optimization. Springer Series in Operations Research. Springer, New York, second edition, 2006.
192. J. Pach and R. Wenger. Embedding planar graphs at fixed vertex locations. In Graph Drawing, volume 1547 of Lecture Notes in Computer Science, pages 263-274. Springer, Berlin, Heidelberg, 1998. Proceedings of the 6th International Symposium (GD '98).
193. L. Parida and S. P. Mudur. Constraint-satisfying planar development of complex surfaces. Computer-Aided Design, 25(4):225-232, 1993.
194. H. K. Pedersen. Decorating implicit surfaces. In Proceedings of SIGGRAPH '95, pages 291-300. ACM Press, 1995.
195. J. Peng, D. Kristjansson, and D. Zorin. Interactive modeling of topologically complex geometric detail. ACM Transactions on Graphics, 23(3):635-643, 2004. Proceedings of SIGGRAPH 2004. (Pubitemid 40163761)
196. U. Pinkall and K. Polthier. Computing discrete minimal surfaces and their conjugates. Experimental Mathematics, 2(1):15-36, 1993.
197. D. Piponi and G. Borshukov. Seamless texture mapping of subdivision surfaces by model pelting and texture blending. In Proceedings of SIGGRAPH 2000, pages 471-478. ACM Press, 2000. (Pubitemid 32394011)
198. J. A. F. Plateau. Statistique Expérimentale et Théorique des Liquides Soumis aux Seules Forces Moléculaires. Gauthier-Villars, Paris, 1873.
199. K. Polthier and E. Preuss. Identifying vector field singularities using a discrete Hodge decomposition. In Visualization and Mathematics III, pages 113-134. Springer Verlag, 2003.
200. S. D. Porumbescu, B. Budge, L. Feng, and K. I. Joy. Shell maps. ACM Transactions on Graphics, 24(3):626-633, 2005. Proceedings of SIGGRAPH 2005.
201. E. Praun and H. Hoppe. Spherical parametrization and remeshing. ACM Transactions on Graphics, 22(3):340-349, 2003. Proceedings of SIGGRAPH 2003.
202. E. Praun, A. Finkelstein, and H. Hoppe. Lapped textures. In Proceedings of SIGGRAPH 2000, pages 465-470. ACM Press, 2000. (Pubitemid 32394010)
203. E. Praun, W. Sweldens, and P. Schröder. Consistent mesh parameterizations. In Proceedings of SIGGRAPH 2001, pages 179-184. ACM Press, 2001. (Pubitemid 33047302)
204. C. Ptolemy. The Geography. Dover, 1991. Translated by E. L. Stevenson.
205. B. Purnomo, J. D. Cohen, and S. Kumar. Seamless texture atlases. In Proceedings of the Second Eurographics Symposium on Geometry Processing (SGP 2004), pages 67-76. Eurographics Association, 2004.
206. T. Radó. Aufgabe 41. Jahresbericht der Deutschen Mathematiker-Vereinigung, 35:49, 1926.
207. T. Radó. The problem of least area and the problem of Plateau. Mathematische Zeitschrift, 32:763-796, 1930.
208. N. Ray and B. Lévy. Hierarchical least squares conformal maps. In Proceedings of the 11th Pacific Conference on Computer Graphics and Applications (PG 2003), pages 263-270. IEEE Computer Society, 2003.
209. N. Ray, W. C. Li, B. Vallet, F. Boutantin, B. Lévy, and C. Borgese. Graphite. http: //alice.loria.fr/software/graphite/, 2003.
210. N. Ray, W.-C. Li, B. Lévy, A. Sheffer, and P. Alliez. Periodic global parameterization. ACM Transactions on Graphics, 25(4):1460-1485, 2006. (Pubitemid 44917213)
211. N. Ray, B. Vallet, W. C. Li, and B. Lévy. N-symmetry direction field design. ACM Transactions on Graphics, 27(2):Article 10, 2008. (Pubitemid 351695408)
212. N. Ray, B. Vallet, W.-C. Li, and B. Lévy. N-symmetry direction fields on surfaces of arbitrary genus. Technical report, January 2006.
213. M. Reuter, F.-E. Wolter, and N. Peinecke. Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids. Computer-Aided Design, 38(4):342-366, 2006.
214. B. Riemann. Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Gröyße. PhD thesis, Universität Göttingen, 1851.
215. A. Rockwood and H. Park. Interactive design of smooth genus N objects using multiperiodic functions and applications. International Journal of Shape Modeling, 5(2): 135-157, 1999.
216. B. Rodin and D. Sullivan. The convergence of circle packings to the Riemann mapping. Journal of Differential Geometry, 26(2):349-360, 1987.
217. S. T. Roweis and L. K. Saul. Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500):2323-2326, 2000. (Pubitemid 32041578)
218. S. Saba, I. Yavneh, C. Gotsman, and A. Sheffer. Practical spherical embedding of manifold triangle meshes. In Proceedings of the 2005 International Conference on Shape Modeling and Applications (SMI '05), pages 256-265. IEEE Computer Society, 2005. (Pubitemid 46061167)
219. P. V. Sander, J. Snyder, S. J. Gortler, and H. Hoppe. Texture mapping progressive meshes. In Proceedings of SIGGRAPH 2001, pages 409-416. ACM Press, 2001. (Pubitemid 33047327)
220. P. V. Sander, S. J. Gortler, J. Snyder, and H. Hoppe. Signal-specialized parametrization. In Proceedings of the 13th Eurographics Workshop on Rendering (EGWR '02), pages 87-98. Eurographics Association, 2002.
221. P. V. Sander, Z. J. Wood, S. J. Gortler, J. Snyder, and H. Hoppe. Multi-chart geometry images. In Proceedings of the First Eurographics Symposium on Geometry Processing (SGP 2003), pages 138-145. Eurographics Association, 2003.
222. S. Schaefer, T. Ju, and J. Warren. A unified, integral construction for coordinates over closed curves. Computer Aided Geometric Design, 24(8-9):481-493, 2007. (Pubitemid 47562132)
223. J. Schreiner, A. Asirvatham, E. Praun, and H. Hoppe. Inter-surface mapping. ACM Transactions on Graphics, 23(3):870-877, 2004. Proceedings of SIGGRAPH 2004. (Pubitemid 40163792)
224. E. L. Schwartz, B. Merker, E. Wolfson, and A. Shaw. Applications of computer graphics and image processing to 2D and 3D modeling of the functional architecture of visual cortex. IEEE Computer Graphics and Applications, 8(4):13-23, 1988.
225. E. L. Schwartz, A. Shaw, and E. Wolfson. A numerical solution to the generalized mapmaker's problem: flattening nonconvex polyhedral surfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(9):1005-1008, 1989. (Pubitemid 20617696)
226. A. Shamir. A formulation of boundary mesh segmentation. In Proceedings of the Second International Symposium on 3D Data Processing, Visualization and Transmission (3DPVT 2004), pages 82-89. IEEE Computer Society, 2004. (Pubitemid 40456281)
227. L. Shapira and A. Shamir. Local geodesic parametrization: An ant's perspective. In T. Möller, B. Hamann, and R. Russel, editors, Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, Mathematics and Visualization. Springer, 2008.
228. A. Shapiro and A. Tal. Polyhedron realization for shape transformation. The Visual Computer, 14(8-9):429-444, 1998. (Pubitemid 128508263)
229. A. Sheffer. Spanning tree seams for reducing parameterization distortion of triangulated surfaces. In Proceedings of Shape Modeling International (SMI '02), pages 61-66. IEEE Computer Society, 2002.
230. A. Sheffer. Non-optimal parameterization and user control. In T. Lyche, M.-L. Mazure, and L. L. Schumaker, editors, Curve and Surface Design: Saint-Malo 2002, Modern Methods in Applied Mathematics, pages 355-364. Nashboro Press, Brentwood, TN, 2003a.
231. A. Sheffer. Skinning 3D meshes. Graphical Models, 65(5):274-285, 2003b. (Pubitemid 38574077)
232. A. Sheffer and E. de Sturler. Surface parameterization for meshing by triangulation flattening. In Proceedings of the 9th International Meshing Roundtable (IMR 2000), pages 161-172, 2000.
233. A. Sheffer and E. de Sturler. Parameterization of faceted surfaces for meshing using angle-based flattening. Engineering with Computers, 17(3):326-337, 2001. (Pubitemid 33074059)
234. A. Sheffer and E. de Sturler. Smoothing an overlay grid to minimize linear distortion in texture mapping. ACM Transactions on Graphics, 21(4):874-890, 2002.
235. A. Sheffer and J. C. Hart. Seamster: inconspicuous low-distortion texture seam layout. In Proceedings of IEEE Visualization 2002, pages 291-298. IEEE Computer Society, 2002. (Pubitemid 35444862)
236. A. Sheffer, C. Gotsman, and N. Dyn. Robust spherical parametrization of triangular meshes. In D. Cohen-Or, N. Dyn, G. Elber, and A. Shamir, editors, Proceedings of the 4th Israel-Korea Bi-National Conference on Geometric Modeling and Computer Graphics, pages 94-99, Tel Aviv, Israel, 2003.
237. A. Sheffer, B. Lévy, M. Mogilnitsky, and A. Bogomyakov. ABF++: fast and robust angle based flattening. ACM Transactions on Graphics, 24(2):311-330, 2005.
238. A. Sheffer, E. Praun, and K. Rose. Mesh parameterization methods and their applications. Foundations and Trends in Computer Graphics and Vision, 2(2):105-171, 2006. (Pubitemid 46732197)
239. J. R. Shewchuk. An introduction to the conjugate method without the agonizing pain. Technical report, School of Computer Science, Carnegie Mellon University, 1994. http://www.cs.cmu.edu/~quake-papers/painless-conjugate- gradient.pdf.
240. T. Shimada and Y. Tada. Approximate transformation of an arbitrary curved surface into a plane using dynamic programming. Computer-Aided Design, 23(2):153-159, 1991.
241. R. Sibson. A vector identity for the Dirichlet tesselation. Mathematical Proceedings of the Cambridge Philosophical Society, 87:151-155, 1980.
242. R. Sibson. A brief description of natural neighbour interpolation. In V. Barnett, editor, Interpolating Multivariate Data, pages 21-36. Wiley, New York, 1981.
243. C. Soler, M.-P. Cani, and A. Angelidis. Hierarchical pattern mapping. ACM Transactions on Graphics, 21(3):673-680, 2002. Proceedings of SIGGRAPH 2002.
244. O. Sorkine, D. Cohen-Or, R. Goldenthal, and D. Lischinski. Bounded-distortion piecewise mesh parametrization. In Proceedings of IEEE Visualization 2002, pages 355-362. IEEE Computer Society, 2002.
245. O. Sorkine, D. Cohen-Or, Y. Lipman, M. Alexa, C. Rössl, and H.-P. Seidel. Laplacian surface editing. In Proceedings of the Second Eurographics Symposium on Geometry Processing (SGP 2004), pages 179-188. Eurographics Association, 2004.
246. B. Springborn, P. Schröder, and U. Pinkall. Conformal equivalence of triangle meshes. ACM Transactions on Graphics, 27(3):Article 77, 2008. Proceedings of SIGGRAPH 2008.
247. 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, vol. 5 (2), pp. 118-125, 2005. (Pubitemid 41048404)
248. K. Stephenson. Introduction to Circle Packing: The theory of discrete analytic functions. Cambridge University Press, New York, 2005.
249. N. Sukumar. Construction of polygonal interpolants: a maximum entropy approach. International Journal for Numerical Methods in Engineering, 61(12):2159-2181, Nov. 2004. (Pubitemid 39622525)
250. N. Sukumar and E. A. Malsch. Recent advances in the construction of polygonal finite element interpolants. Archives of Computational Methods in Engineering, 13(1):129-163, 2006. (Pubitemid 43864188)
251. R. W. Sumner and J. Popoví. Deformation transfer for triangle meshes. ACM Transactions on Graphics, 23(3):399-405, 2004. Proceedings of ACM SIGGRAPH 2004. (Pubitemid 40163733)
252. V. Surazhsky and C. Gotsman. Explicit surface remeshing. In Proceedings of the First Eurographics Symposium on Geometry Processing (SGP 2003), pages 20-30. Eurographics Association, 2003.
253. M. Tarini, K. Hormann, P. Cignoni, and C. Montani. PolyCube-Maps. ACM Transactions on Graphics, 23(3):853-860, 2004. Proceedings of ACM SIGGRAPH 2004. (Pubitemid 40163790)
254. G. Taubin. A signal processing approach to fair surface design. In Proceedings of SIGGRAPH '95, pages 351-358. ACM Press, 1995.
255. J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500):2319-2323, 2000. (Pubitemid 32041577)
256. G. Tewari, J. Snyder, P. V. Sander, S. J. Gortler, and H. Hoppe. Signal-specialized parameterization for piecewise linear reconstruction. In Proceedings of the Second Eurographics Symposium on Geometry Processing (SGP 2004), pages 57-66. Eurographics Association, 2004.
257. S. Toledo. TAUCS: A library of sparse linear solvers. http://www.tau.ac.il/ ~stoledo/taucs/, 2003.
258. Y. Tong, P. Alliez, D. Cohen-Steiner, and M. Desbrun. Designing quadrangulations with discrete harmonic forms. In Proceedings of the 4th Eurographics Symposium on Geometry Processing (SGP 2006), pages 201-210. Eurographics Association, 2006.
259. G. Turk. Texture synthesis on surfaces. In Proceedings of SIGGRAPH 2001, pages 347-354. ACM Press, 2001. (Pubitemid 33047319)
260. W. T. Tutte. Convex representations of graphs. Proceedings of the London Mathematical Society, 10:304-320, 1960.
261. W. T. Tutte. How to draw a graph. Proceedings of the London Mathematical Society, 13:743-767, 1963.
262. B. Vallet and B. Lévy. Manifold harmonics. Computer Graphics Forum, 27(2):251-260, 2008. Proceedings of Eurographics 2008.
263. E. L. Wachspress. A Rational Finite Element Basis. Academic Press, New York, 1975.
264. C. C. L. Wang, S. S.-F. Smith, and M. M. F. Yuen. Surface flattening based on energy model. Computer-Aided Design, 34(11):823-833, 2002. (Pubitemid 34771693)
265. J. Warren. Barycentric coordinates for convex polytopes. Advances in Computational Mathematics, 6(2):97-108, 1996. (Pubitemid 127027580)
266. J. Warren. On the uniqueness of barycentric coordinates. In R. Goldman and R. Krasauskas, editors, Topics in Algebraic Geometry and Geometric Modeling, volume 334 of Contemporary Mathematics, pages 93-99. American Mathematical Society, 2003.
267. J. Warren, S. Schaefer, A. N. Hirani, and M. Desbrun. Barycentric coordinates for convex sets. Advances in Computational Mathematics, 27(3):319-338, 2007.
268. L.-Y. Wei and M. Levoy. Texture synthesis over arbitrary manifold surfaces. In Proceedings of SIGGRAPH 2001, pages 3550-360. ACM Press, 2001. (Pubitemid 33047320)
269. Y.-L. Yang, J. Kim, F. Luo, S.-M. Hu, and X. Gu. Optimal surface parameterization using inverse curvature map. IEEE Transactions on Visualization and Computer Graphics, 14(5):1054-1066, 2008.
270. L. Ying and D. Zorin. A simple manifold-based construction of surfaces of arbitrary smoothness. ACM Transactions on Graphics, 23(3):271-275, 2004. Proceedings of SIGGRAPH 2004. (Pubitemid 40163715)
271. L. Ying, A. Hertzmann, H. Biermann, and D. Zorin. Texture and shape synthesis on surfaces. In S. J. Gortler and K. Myszkowski, editors, Rendering Techniques 2001, pages 301-312. Springer, Wien, New York, 2001. Proceedings of the 12th Eurographics Workshop on Rendering.
272. S. Yoshizawa, A. G. Belyaev, and H.-P. Seidel. A fast and simple stretch-minimizing mesh parameterization. In Proceedings of the 2004 International Conference on Shape Modeling and Applications (SMI '04), pages 200-208. IEEE Computer Society, 2004.
273. F. W. Young. Multidimensional scaling. In S. Kotz, N. L. Johnson, and C. B. Read, editors, Encyclopedia of Statistical Sciences, volume 5, pages 649-659. Wiley, New York, 1985.
274. R. Zayer, C. Rössl, and H.-P. Seidel. Convex boundary angle based flattening. In T. Ertl, B. Girod, G. Greiner, H. Niemann, H.-P. Seidel, E. Steinbach, and R. Westermann, editors, Proceedings of Vision, Modeling, and Visualization 2003, pages 281-288, München, Germany, 2003. infix.
275. R. Zayer, C. Rössl, and H.-P. Seidel. Discrete tensorial quasi-harmonic maps. In Proceedings of the 2005 International Conference on Shape Modeling and Applications (SMI '05), pages 276-285. IEEE Computer Society, 2005a. (Pubitemid 46061169)
276. R. Zayer, C. Rössl, and H.-P. Seidel. Setting the boundary free: A composite approach to surface parameterization. In Proceedings of the Third Eurographics Symposium on Geometry Processing (SGP 2005), pages 91-100. Eurographics Association, 2005b.
277. R. Zayer, C. Rössl, and H.-P. Seidel. Variations on angle based flattening. In N. A. Dodgson, M. S. Floater, and M. A. Sabin, editors, Advances in Multiresolution for Geometric Modelling, Mathematics and Visualization, pages 187-199. Springer, Berlin, Heidelberg, 2005c.
278. R. Zayer, C. Rössl, and H.-P. Seidel. Curvilinear spherical parameterization. In Proceedings of the 2006 International Conference on Shape Modeling and Applications (SMI '06), pages 57-64. IEEE Computer Society, 2006. (Pubitemid 44889043)
279. R. Zayer, B. Lévy, and H.-P. Seidel. Linear angle based parameterization. In Proceedings of the 5th Eurographics Symposium on Geometry Processing (SGP 2007), pages 135-141. Eurographics Association, 2007.
280. E. Zhang, K. Mischaikow, and G. Turk. Feature-based surface parameterization and texture mapping. ACM Transactions on Graphics, 24(1):1-27, 2005. (Pubitemid 44849562)
281. L. Zhang, L. Liu, Z. Ji, and G. Wang. Manifold parameterization. In T. Nishita, Q. Peng, and H.-P. Seidel, editors, Advances in Computer Graphics, volume 4035 of Lecture Notes in Computer Science, pages 160-171. Springer, 2006. Proceedings of the 24th Computer Graphics International Conference. (Pubitemid 44097395)
282. K. Zhou, J. Synder, B. Guo, and H.-Y. Shum. Iso-charts: Stretch-driven mesh parameterization using spectral analysis. In Proceedings of the Second Eurographics Symposium on Geometry Processing (SGP 2004), pages 47-56. Eurographics Association, 2004.
283. K. Zhou, X. Wang, Y. Tong, M. Desbrun, B. Guo, and H.-Y. Shum. TextureMontage: Seamless texturing of arbitrary surfaces from multiple images. ACM Transactions on Graphics, 24(3):1148-1155, 2005. Proceedings of SIGGRAPH 2005.
284. G. Zigelman, R. Kimmel, and N. Kiryati. Texture mapping using surface flattening via multidimensional scaling. IEEE Transactions on Visualization and Computer Graphics, 8(2):198-207, 2002. (Pubitemid 34550425)