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Volumn 27, Issue 3, 2008, Pages

Conformal equivalence of triangle meshes

Author keywords

Cone singularities; Conformal equivalence; Conformal parameterization; Discrete differential geometry; Discrete Riemannian metric; Texture mapping

Indexed keywords

CONE SINGULARITIES; CONFORMAL EQUIVALENCE; CONFORMAL PARAMETERIZATION; DISCRETE DIFFERENTIAL GEOMETRY; DISCRETE RIEMANNIAN METRIC; ENERGY FUNCTIONS; LAPLACE OPERATORS; MESH PARAMETERIZATION; NEW ALGORITHM; SALIENT FEATURES; SMOOTH SURFACES; SURFACE MESHING; TEXTURE MAPPING; TRIANGLE MESHES;

EID: 49249134700     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/1360612.1360676     Document Type: Article
Times cited : (191)

References (39)
  • 2
    • 42949166644 scopus 로고    scopus 로고
    • Conformal Flattening by Curvature Prescription and Metric Scaling
    • BEN-CHEN, M., GOTSMAN, C., AND BUNIN, G. 2008. Conformal Flattening by Curvature Prescription and Metric Scaling. Comp. Graph. Forum 27, 2, 449-458.
    • (2008) Comp. Graph. Forum , vol.27 , Issue.2 , pp. 449-458
    • BEN-CHEN, M.1    GOTSMAN, C.2    BUNIN, G.3
  • 3
    • 49249102531 scopus 로고    scopus 로고
    • BENSON, S., MCINNES, L. C., MORÉ, J., MUNSON, T., AND SARICH, J. 2007. TAO User Manual. Tech. Rep. ANL/MCS-TM-242 (Revision 1.9), Argonne National Laboratory. http://www.mcs.anl.gov/tao.
    • BENSON, S., MCINNES, L. C., MORÉ, J., MUNSON, T., AND SARICH, J. 2007. TAO User Manual. Tech. Rep. ANL/MCS-TM-242 (Revision 1.9), Argonne National Laboratory. http://www.mcs.anl.gov/tao.
  • 4
    • 0742271500 scopus 로고    scopus 로고
    • Variational Principles for Circle Patterns and Koebe's Theorem
    • BOBENKO, A. I., AND SPRINGBORN, B. A. 2004. Variational Principles for Circle Patterns and Koebe's Theorem. Trans. Amer. Math. Soc. 356, 2, 659-689.
    • (2004) Trans. Amer. Math. Soc , vol.356 , Issue.2 , pp. 659-689
    • BOBENKO, A.I.1    SPRINGBORN, B.A.2
  • 5
    • 49249102380 scopus 로고    scopus 로고
    • BOBENKO, A. I., AND SURIS, Y. B., 2005. Discrete Differential Geometry. Consistency as Integrability. Preprint arXiv:math/0504358v1. To appear in Graduate Studies in Mathematics of the AMS.
    • BOBENKO, A. I., AND SURIS, Y. B., 2005. Discrete Differential Geometry. Consistency as Integrability. Preprint arXiv:math/0504358v1. To appear in Graduate Studies in Mathematics of the AMS.
  • 6
    • 7044243717 scopus 로고    scopus 로고
    • Planar Conformal Mappings of Piecewise Flat Surfaces
    • Springer
    • BOWERS, R L., AND HURDAL, M. K. 2003. Planar Conformal Mappings of Piecewise Flat Surfaces. In Vis. and Math. III. Springer, 3-34.
    • (2003) Vis. and Math. III , pp. 3-34
    • BOWERS, R.L.1    HURDAL, M.K.2
  • 7
    • 0142169424 scopus 로고    scopus 로고
    • Combinatorial Ricci Flows on Surfaces
    • CHOW, B., AND LUO, E 2003. Combinatorial Ricci Flows on Surfaces. J. Diff. Geom. 63, 1, 97-129.
    • (2003) J. Diff. Geom , vol.63 , Issue.1 , pp. 97-129
    • CHOW, B.1    LUO, E.2
  • 8
    • 0000162896 scopus 로고
    • Un Principe Variationnel pour les Empilements de Cercles.
    • COLIN DE VERDIÈRE, Y 1991. Un Principe Variationnel pour les Empilements de Cercles. Invent. Math. 104, 655-669.
    • (1991) Invent. Math , vol.104 , pp. 655-669
    • COLIN DE VERDIÈRE, Y.1
  • 9
    • 0036732085 scopus 로고    scopus 로고
    • Intrinsic Parameterizations of Surface Meshes
    • DESBRUN, M., MEYER, M., AND ALLIEZ, R 2002. Intrinsic Parameterizations of Surface Meshes. Comp. Graph. Forum 21, 3, 209-218.
    • (2002) Comp. Graph. Forum , vol.21 , Issue.3 , pp. 209-218
    • DESBRUN, M.1    MEYER, M.2    ALLIEZ, R.3
  • 10
    • 0000377925 scopus 로고
    • Basic Properties of Discrete Analytic Functions
    • DUFFIN, R. J. 1956. Basic Properties of Discrete Analytic Functions. Duke Math. J. 23, 335-363.
    • (1956) Duke Math. J , vol.23 , pp. 335-363
    • DUFFIN, R.J.1
  • 11
    • 49249092329 scopus 로고    scopus 로고
    • DUFFIN, R. 1959. Distributed and Lumped Networks. J. Math. Mech. [continued as Indiana Univ. Math. J.] 8, 793-826.
    • DUFFIN, R. 1959. Distributed and Lumped Networks. J. Math. Mech. [continued as Indiana Univ. Math. J.] 8, 793-826.
  • 14
    • 79955644179 scopus 로고    scopus 로고
    • Global Conformal Surface Parameterization
    • Eurographics
    • GU, X., AND YAU, S.-T. 2003. Global Conformal Surface Parameterization. In Proc. Symp. Geom. Proc., Eurographics, 127-137.
    • (2003) Proc. Symp. Geom. Proc , pp. 127-137
    • GU, X.1    YAU, S.-T.2
  • 16
    • 38049045615 scopus 로고    scopus 로고
    • Discrete Surface Ricci Flow: Theory and Applications
    • Mathematics of Surfaces 2007, R. Martin, M. Sabin, and J. Winkler, Eds, of, Springer
    • JIN, M., KIM, J., AND GU, X. D. 2007. Discrete Surface Ricci Flow: Theory and Applications. In Mathematics of Surfaces 2007, R. Martin, M. Sabin, and J. Winkler, Eds., Vol. 4647 of Lecture Notes in Computer Science. Springer, 209-232.
    • (2007) Lecture Notes in Computer Science , vol.4647 , pp. 209-232
    • JIN, M.1    KIM, J.2    GU, X.D.3
  • 17
    • 35348945399 scopus 로고    scopus 로고
    • QuadCover - Surface Parameterization using Branched Coverings
    • KÄLBERER, F., NIESER, M., AND POLTHIER K. 2007. QuadCover - Surface Parameterization using Branched Coverings. Comp. Graph. Forum 26, 3, 375-384.
    • (2007) Comp. Graph. Forum , vol.26 , Issue.3 , pp. 375-384
    • KÄLBERER, F.1    NIESER, M.2    POLTHIER, K.3
  • 18
    • 33745772769 scopus 로고    scopus 로고
    • Discrete Conformal Mappings via Circle Patterns
    • KHAREVYCH, L., SPRINGBORN, B., AND SCHRÖDER, P. 2006. Discrete Conformal Mappings via Circle Patterns. ACM Trans. Graph. 25, 2, 412-438.
    • (2006) ACM Trans. Graph , vol.25 , Issue.2 , pp. 412-438
    • KHAREVYCH, L.1    SPRINGBORN, B.2    SCHRÖDER, P.3
  • 19
    • 0742282455 scopus 로고    scopus 로고
    • Characterizing the Delaunay Decompositions of Compact Hyperbolic Surfaces
    • LEIBON, G. 2002. Characterizing the Delaunay Decompositions of Compact Hyperbolic Surfaces. Geom. Topol. 6, 361-391.
    • (2002) Geom. Topol , vol.6 , pp. 361-391
    • LEIBON, G.1
  • 20
    • 43249113370 scopus 로고    scopus 로고
    • Least Squares Conformai Maps for Automatic Texture Atlas Generation
    • LEVY, B., PETITJEAN, S., RAY, N., AND MAILLOT, J. 2002. Least Squares Conformai Maps for Automatic Texture Atlas Generation. ACM Trans. Graph. 21, 3, 362-371.
    • (2002) ACM Trans. Graph , vol.21 , Issue.3 , pp. 362-371
    • LEVY, B.1    PETITJEAN, S.2    RAY, N.3    MAILLOT, J.4
  • 22
    • 8744221606 scopus 로고    scopus 로고
    • Combinatorial Yamabe Flow on Surfaces
    • LUO, E 2004. Combinatorial Yamabe Flow on Surfaces. Commun. Contemp. Math. 6, 765-780.
    • (2004) Commun. Contemp. Math , vol.6 , pp. 765-780
    • LUO, E.1
  • 23
    • 0030244925 scopus 로고    scopus 로고
    • Algorithm 757: MISCFUN, a Software Package to Compute Uncommon Special Functions
    • MACLEOD, A. J. 1996. Algorithm 757: MISCFUN, a Software Package to Compute Uncommon Special Functions. ACM Trans. Math. Softw. 22, 3, 288-301.
    • (1996) ACM Trans. Math. Softw , vol.22 , Issue.3 , pp. 288-301
    • MACLEOD, A.J.1
  • 24
    • 0035531721 scopus 로고    scopus 로고
    • Discrete Riemann Surfaces and the Ising Model
    • MERCAT, C. 2001. Discrete Riemann Surfaces and the Ising Model. Comm. in Math. Physics 218, 1, 177-216.
    • (2001) Comm. in Math. Physics , vol.218 , Issue.1 , pp. 177-216
    • MERCAT, C.1
  • 25
    • 0002249763 scopus 로고
    • Hyperbolic Geometry: The First 150 Years
    • MILNOR J. 1982. Hyperbolic Geometry: The First 150 Years. Bul. Amer. Math. Soc. 6, 1, 9-24.
    • (1982) Bul. Amer. Math. Soc , vol.6 , Issue.1 , pp. 9-24
    • MILNOR, J.1
  • 26
    • 84950826016 scopus 로고
    • Computing Discrete Minimal Surfaces and Their Conjugates
    • PINKALL, U., AND POLTHIER K. 1993. Computing Discrete Minimal Surfaces and Their Conjugates. Experiment. Math. 2, 1, 15-36.
    • (1993) Experiment. Math , vol.2 , Issue.1 , pp. 15-36
    • PINKALL, U.1    POLTHIER, K.2
  • 28
    • 0001684677 scopus 로고
    • Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume
    • RIVIN, I. 1994. Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume. Ann. of Math. (2) 139, 553-580.
    • (1994) Ann. of Math. (2) , vol.139 , pp. 553-580
    • RIVIN, I.1
  • 29
    • 0036448623 scopus 로고    scopus 로고
    • Seamster: Inconspicuous Low-Distortion Texture Seam Layout
    • IEEE Comp. Soc
    • SHEFFER, A., AND HART, J. C. 2002. Seamster: Inconspicuous Low-Distortion Texture Seam Layout. In Proc. IEEE Vis., IEEE Comp. Soc., 291-298.
    • (2002) Proc. IEEE Vis , pp. 291-298
    • SHEFFER, A.1    HART, J.C.2
  • 31
    • 34248368909 scopus 로고    scopus 로고
    • Mesh Parameterization Methods and their Applications
    • SHEFFER, A., PRAUN, E., AND ROSE, K. 2006. Mesh Parameterization Methods and their Applications. Found. Trends Comput. Graph. Vis. 2, 2, 105-171.
    • (2006) Found. Trends Comput. Graph. Vis , vol.2 , Issue.2 , pp. 105-171
    • SHEFFER, A.1    PRAUN, E.2    ROSE, K.3
  • 32
    • 14544285425 scopus 로고    scopus 로고
    • A Unique Representation of Polyhedral Types. Centering via Möbius Transformations
    • SFRINGBORN, B. 2005. A Unique Representation of Polyhedral Types. Centering via Möbius Transformations. Math. Z. 249, 513-517.
    • (2005) Math. Z , vol.249 , pp. 513-517
    • SFRINGBORN, B.1
  • 33
    • 0000305846 scopus 로고
    • The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
    • STEIHAUG, T. 1983. The Conjugate Gradient Method and Trust Regions in Large Scale Optimization. SIAM J. Numer. Anal. 20, 3, 626-637.
    • (1983) SIAM J. Numer. Anal , vol.20 , Issue.3 , pp. 626-637
    • STEIHAUG, T.1
  • 34
    • 33645147908 scopus 로고    scopus 로고
    • Circle Packing: A Mathematical Tale
    • STEPHENSON, K. 2003. Circle Packing: A Mathematical Tale. Notices Amer. Math. Soc. 50, 11, 1376-1388.
    • (2003) Notices Amer. Math. Soc , vol.50 , Issue.11 , pp. 1376-1388
    • STEPHENSON, K.1
  • 36
    • 85122654489 scopus 로고    scopus 로고
    • Designing Quadrangulations with Discrete Harmonic Forms
    • Eurographics
    • TONG, Y., ALLIEZ, P., COHEN-STEINER, D., AND DESBRUN, M. 2007. Designing Quadrangulations with Discrete Harmonic Forms. In Proc. Symp. Geom. Proc., Eurographics, 201-210.
    • (2007) Proc. Symp. Geom. Proc , pp. 201-210
    • TONG, Y.1    ALLIEZ, P.2    COHEN-STEINER, D.3    DESBRUN, M.4
  • 37
    • 0001799865 scopus 로고
    • Les Surfaces Euclidiennes à Singularités Coniques.
    • TROYANOV, M. 1986. Les Surfaces Euclidiennes à Singularités Coniques. Enseign. Math. (2) 32, 79-94.
    • (1986) Enseign. Math. (2) , vol.32 , pp. 79-94
    • TROYANOV, M.1
  • 38
    • 47649084856 scopus 로고    scopus 로고
    • Optimal Surface Parameterization Using Inverse Curvature Map
    • to appear
    • YANG, Y., KIM, J., LUO, F., HU, S., AND GU, D. 2008. Optimal Surface Parameterization Using Inverse Curvature Map. IEEE Trans. Vis. Comp. Graph. (to appear).
    • (2008) IEEE Trans. Vis. Comp. Graph
    • YANG, Y.1    KIM, J.2    LUO, F.3    HU, S.4    GU, D.5
  • 39
    • 85001245645 scopus 로고    scopus 로고
    • Linear Angle Based Parameterization
    • Eurographics
    • ZAYER R., LÉVY, B., AND SEIDEL, H.-P. 2007. Linear Angle Based Parameterization. In Proc. Symp. Geom. Proc., Eurographics, 135-141.
    • (2007) Proc. Symp. Geom. Proc , pp. 135-141
    • ZAYER, R.1    LÉVY, B.2    SEIDEL, H.-P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.