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Volumn , Issue , 2010, Pages

Spectral mesh processing

Author keywords

[No Author keywords available]

Indexed keywords

3-D MESH MODELS; CLASSICAL CONTEXT; MESH MODEL; MESH PROCESSING; NUMERICAL SOFTWARE; REAL APPLICATIONS; REMESHING; SHAPE MATCHING; WIDE SPECTRUM;

EID: 77956381167     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1837101.1837109     Document Type: Conference Paper
Times cited : (72)

References (111)
  • 1
    • 33646721932 scopus 로고    scopus 로고
    • Finite element exterior calculus, homological techniques, and applications
    • D. N. Arnold, R. S. Falk, and R. Winther. Finite element exterior calculus, homological techniques, and applications. Acta Numerica 15, 2006.
    • (2006) Acta Numerica , vol.15
    • Arnold, D.N.1    Falk, R.S.2    Winther, R.3
  • 2
    • 0346354897 scopus 로고
    • The role of functional analysis in global illumination
    • P. M. Hanrahan and W. Purgathofer, editors, New York, NY. Springer-Verlag
    • James Arvo. The Role of Functional Analysis in Global Illumination. In P. M. Hanrahan and W. Purgathofer, editors, Rendering Techniques '95 (Proceedings of the Sixth Eurographics Workshop on Rendering), pages 115-126, New York, NY, 1995. Springer-Verlag.
    • (1995) Rendering Techniques '95 (Proceedings of the Sixth Eurographics Workshop on Rendering) , pp. 115-126
    • Arvo, J.1
  • 3
    • 0042378381 scopus 로고    scopus 로고
    • Laplacian eigenmaps and spectral techniques for embedding and clustering
    • M. Belkin and P. Niyogi. Laplacian eigenmaps and spectral techniques for embedding and clustering. Neural Computations, 15(6):1373-1396, 2003.
    • (2003) Neural Computations , vol.15 , Issue.6 , pp. 1373-1396
    • Belkin, M.1    Niyogi., P.2
  • 11
  • 12
    • 38249016397 scopus 로고
    • Sur un nouvel invariant des graphes et un critere de planarite
    • Y. Colin de Verdiere. Sur un nouvel invariant des graphes et un critere de planarite. J. of Combinatorial Theory, 50, 1990.
    • (1990) J. of Combinatorial Theory , vol.50
    • De Verdiere, C.Y.1
  • 14
    • 0142103254 scopus 로고    scopus 로고
    • On bending invariant signatures for surfaces
    • [EK03] A. Elad and R. Kimmel. On bending invariant signatures for surfaces. IEEE Trans. Pattern Anal. Mach. Intell., 25(10):1285-1295, 2003.
    • (2003) IEEE Trans. Pattern Anal. Mach. Intell. , vol.25 , Issue.10 , pp. 1285-1295
    • Elad, A.1    Kimmel, R.2
  • 15
    • 0029717336 scopus 로고    scopus 로고
    • Computing betti numbers via combinatorial laplacians
    • ACM
    • J. Feidman. Computing betti numbers via combinatorial laplacians. In Proc. 28th Sympos. Theory Comput., pages 386-391. ACM, 1996.
    • (1996) Proc. 28th Sympos. Theory Comput. , pp. 386-391
    • Feidman, J.1
  • 17
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • Miroslav Fiedler. Algebraic connectivity of graphs. Czech. Math. Journal, 23:298-305, 1973.
    • (1973) Czech. Math. Journal , vol.23 , pp. 298-305
    • Fiedler, M.1
  • 18
    • 0000827674 scopus 로고
    • A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
    • Miroslav Fiedler. A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. Czech. Math. Journal, 25:619-633, 1975.
    • (1975) Czech. Math. Journal , vol.25 , pp. 619-633
    • Fiedler, M.1
  • 20
    • 77954025716 scopus 로고    scopus 로고
    • Fundamentals of spherical parameterization for 3d meshes
    • [GGS03a] C. Gotsman, X. Gu, and A. Sheffer. Fundamentals of spherical parameterization for 3d meshes. ACM Trans. Graph., 22(3):358-363, 2003.
    • (2003) ACM Trans. Graph. , vol.22 , Issue.3 , pp. 358-363
    • Gotsman, C.1    Gu, X.2    Sheffer, A.3
  • 22
    • 33845441617 scopus 로고    scopus 로고
    • On graph partitioning, spectral analysis, and digital mesh processing
    • Craig Gotsman. On graph partitioning, spectral analysis, and digital mesh processing. In Shape Modeling International, pages 165-174, 2003.
    • (2003) Shape Modeling International , pp. 165-174
    • Gotsman, C.1
  • 25
    • 34247517282 scopus 로고    scopus 로고
    • On the convergence of metric and geometric properties of polyhedral surfaces
    • Klaus Hildebrandt, Konrad Polthier, and Max Wardetzky. On the convergence of metric and geometric properties of polyhedral surfaces. Geom Dedicata, 2006.
    • (2006) Geom Dedicata
    • Hildebrandt, K.1    Polthier, K.2    Wardetzky, M.3
  • 32
    • 34248170194 scopus 로고    scopus 로고
    • A spectral approach to shape-based retrieval of articulated 3D models
    • [JZ07] Varun Jain and Hao Zhang. A spectral approach to shape-based retrieval of articulated 3D models. Computer Aided Design, 39:398-407, 2007.
    • (2007) Computer Aided Design , vol.39 , pp. 398-407
    • Jain, V.1    Zhang, H.2
  • 34
    • 0002697827 scopus 로고
    • Can you hear the shape of a drum?
    • Mark Kac. Can you hear the shape of a drum? Amer. Math. Monthly, 73, 1966.
    • (1966) Amer. Math. Monthly , vol.73
    • Kac, M.1
  • 35
    • 0034448294 scopus 로고    scopus 로고
    • Spectral compression of mesh geometry
    • Z. Karni and C. Gotsman. Spectral compression of mesh geometry. In Proc. of ACM SIGGRAPH, pages 279-286, 2000.
    • (2000) Proc. of ACM SIGGRAPH , pp. 279-286
    • Karni, Z.1    Gotsman, C.2
  • 36
    • 0034448294 scopus 로고    scopus 로고
    • Spectral compression of mesh geometry
    • Zachi Karni and Craig Gotsman. Spectral compression of mesh geometry. In SIGGRAPH, pages 279-286, 2000.
    • (2000) SIGGRAPH , pp. 279-286
    • Karni, Z.1    Gotsman, C.2
  • 42
    • 0034497389 scopus 로고    scopus 로고
    • On clustering - Good, bad, and spectral
    • R. Kannan, S. Vempala, and A. Vetta. On clustering - good, bad, and spectral. In FOCS, pages 367-377, 2000.
    • (2000) FOCS , pp. 367-377
    • Kannan, R.1    Vempala, S.2    Vetta, A.3
  • 44
    • 33745886518 scopus 로고    scopus 로고
    • A spectral technique for correspondence problems using pairwise constraints
    • October
    • Marius Leordeanu and Martial Hebert. A spectral technique for correspondence problems using pairwise constraints. In International Conference of Computer Vision (ICCV), volume 2, pages 1482-1489, October 2005.
    • (2005) International Conference of Computer Vision (ICCV) , vol.2 , pp. 1482-1489
    • Leordeanu, M.1    Hebert, M.2
  • 46
    • 43249113370 scopus 로고    scopus 로고
    • Least squares conformal maps for automatic texture atlas generation
    • B. Lévy, S. Petitjean, N. Ray, and J. Maillot. Least squares conformal maps for automatic texture atlas generation. In Proc. of ACM SIGGRAPH 02, pages 362-371, 2002.
    • (2002) Proc. of ACM SIGGRAPH 02 , pp. 362-371
    • Lévy, B.1    Petitjean, S.2    Ray, N.3    Maillot, J.4
  • 47
    • 17444414621 scopus 로고    scopus 로고
    • Segmentation of 3D meshes through spectral clustering
    • R. Liu and H. Zhang. Segmentation of 3D meshes through spectral clustering. In Pacific Graphics, pages 298-305, 2004.
    • (2004) Pacific Graphics , pp. 298-305
    • Liu, R.1    Zhang, H.2
  • 50
    • 4644242396 scopus 로고    scopus 로고
    • Barr. Discrete differential-geometry operators for triangulated 2- manifolds
    • Hans-Christian Hege and Konrad Polthier, editors. Springer-Verlag, Heidelberg
    • Mark Meyer, Mathieu Desbrun, Peter Schröder, and Alan H. Barr. Discrete differential-geometry operators for triangulated 2- manifolds. In Hans-Christian Hege and Konrad Polthier, editors, Visualization and Mathematics III, pages 35-57. Springer-Verlag, Heidelberg, 2003.
    • (2003) Visualization and Mathematics III , pp. 35-57
    • Meyer, M.1    Desbrun, M.2    Schröder, P.3    Alan, H.4
  • 54
    • 0036732220 scopus 로고    scopus 로고
    • A frequency-domain approach to watermarking 3D shapes
    • [OMT02] R. Ohbuchi, A. Mukaiyama, and S. Takahashi. A frequency-domain approach to watermarking 3D shapes. Computer Graphics Forum, 21(3):373-382, 2002.
    • (2002) Computer Graphics Forum , vol.21 , Issue.3 , pp. 373-382
    • Ohbuchi, R.1    Mukaiyama, A.2    Takahashi, S.3
  • 57
    • 84950826016 scopus 로고
    • Computing discrete minimal surfaces and their conjugates
    • Ulrich Pinkall and Konrad Polthier. Computing discrete minimal surfaces and their conjugates. Experimental Mathematics, 2(1), 1993.
    • (1993) Experimental Mathematics , vol.2 , Issue.1
    • Pinkall, U.1    Polthier, K.2
  • 58
    • 0043284546 scopus 로고    scopus 로고
    • Towards a science of fea: Patterns, predictability and proof through some case studies
    • [Pra99] G. Prathap. Towards a science of fea: Patterns, predictability and proof through some case studies. Current Science, 77:1311-1318, 1999.
    • (1999) Current Science , vol.77 , pp. 1311-1318
    • Prathap, G.1
  • 59
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • S. T. Roweis and L. K. Saul. Nonlinear dimensionality reduction by locally linear embedding. Science, 290:2323-2326, 2000.
    • (2000) Science , vol.290 , pp. 2323-2326
    • Roweis, S.T.1    Saul, L.K.2
  • 60
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • Dec
    • Sam Roweis and Lawrence Saul. Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500):2323-2326, Dec 2000.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2323-2326
    • Roweis, S.1    Saul, L.2
  • 61
    • 85116838235 scopus 로고    scopus 로고
    • Laplace-beltrami eigenfunctions for deformation invariant shape representation
    • R. M. Rustamov. Laplace-beltrami eigenfunctions for deformation invariant shape representation. In Proc. of Eurographics Symposium on Geometry Processing, pages 225-233, 2007.
    • (2007) Proc. of Eurographics Symposium on Geometry Processing , pp. 225-233
    • Rustamov, R.M.1
  • 62
    • 33845433386 scopus 로고    scopus 로고
    • Laplace-beltrami spectra as "shape-dna" of surfaces and solids
    • M. Reuter, F.-E.Wolter, and N. Peinecke. Laplace-beltrami spectra as "shape-dna" of surfaces and solids. CAD Journal, 2005.
    • (2005) CAD Journal
    • Reuter, M.1    Wolter, F.-E.2    Peinecke, N.3
  • 64
    • 34548752768 scopus 로고
    • Feature-based correspondence: An eigenvector approach
    • L. S. Shapiro and J. M. Brady. Feature-based correspondence: an eigenvector approach. Image and Vision Computing, 10(5):283-288, 1992.
    • (1992) Image and Vision Computing , vol.10 , Issue.5 , pp. 283-288
    • Shapiro, L.S.1    Brady, J.M.2
  • 68
    • 0029179430 scopus 로고
    • A signal processing approach to fair surface design
    • G. Taubin. A signal processing approach to fair surface design. In Proc. of ACM SIGGRAPH, pages 351-358, 1995.
    • (1995) Proc. of ACM SIGGRAPH , pp. 351-358
    • Taubin, G.1
  • 71
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290:2319-2323, 2000.
    • (2000) Science , vol.290 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3
  • 78
    • 24944432568 scopus 로고    scopus 로고
    • Effcient spectral watermarking of large meshes with orthogonal basis functions
    • Jianhua Wu and Leif Kobbelt. Effcient spectral watermarking of large meshes with orthogonal basis functions. In The Visual Computer, 2005.
    • (2005) The Visual Computer
    • Wu, J.1    Kobbelt, L.2
  • 83
    • 24944485866 scopus 로고    scopus 로고
    • Iso-charts: Stretch-driven mesh parameterization using spectral analysis
    • Kun Zhou, John Snyder, Baining Guo, and Heung-Yeung Shum. Iso-charts: Stretch-driven mesh parameterization using spectral analysis. In Symposium on Geometry Processing, pages 47-56, 2004.
    • (2004) In Symposium on Geometry Processing , pp. 47-56
    • Zhou, K.1    Snyder, J.2    Guo, B.3    Shum, H.-Y.4
  • 85
    • 0029179430 scopus 로고
    • A signal processing approach to fair surface design
    • G. Taubin. A signal processing approach to fair surface design. In Proc, of ACM SIGGRAPH, pages 351-358, 1995.
    • (1995) Proc, of ACM SIGGRAPH , pp. 351-358
    • Taubin, G.1
  • 86
    • 0034448294 scopus 로고    scopus 로고
    • Spectral compression of mesh geometry
    • Z. Karni and C. Gotsman. Spectral compression of mesh geometry. In Proc. of ACM SIGGRAPH, pages 279-286, 2000.
    • (2000) Proc. of ACM SIGGRAPH , pp. 279-286
    • Karni, Z.1    Gotsman, C.2
  • 90
    • 34547300830 scopus 로고    scopus 로고
    • Technical Report TR-149 Max Plank Institute for Biological Cybernetics August
    • Ulrike von Luxburg. A tutorial on spectral clustering. Technical Report TR-149, Max Plank Institute for Biological Cybernetics, August 2006.
    • (2006) A Tutorial on Spectral Clustering
    • Von Luxburg, U.1
  • 93
    • 70049090647 scopus 로고    scopus 로고
    • Spectral mesh processing
    • to appear
    • Hao Zhang, Oliver van Kaick. and R,amsay Dyer. Spectral mesh processing. Computer Graphics Forum, 2009, to appear. http://www.cs.sfu.ca/~haoz/pubs/zhang- cgf09-spect-survey.pcf.
    • (2009) Computer Graphics Forum
    • Zhang, H.1    Van Kaick, O.2    Dyer, R.3
  • 95
    • 0000802374 scopus 로고
    • The approximation of one matrix by another of lower rank
    • Eckart C., Young G.: The approximation of one matrix by another of lower rank. Psychometrika 1 (1936), 211-218.
    • (1936) Psychometrika , vol.1 , pp. 211-218
    • Eckart, C.1    Young, G.2
  • 96
    • 2342654611 scopus 로고    scopus 로고
    • A unifying theorem for spectral embedding and clustering
    • Key West, Florida.
    • Brand M. Huang K.: A unifying theorem for spectral embedding and clustering. In Proc. of Int. Conf. on AI and Stat. (Key West, Florida. 2003).
    • (2003) Proc. of Int. Conf. on AI and Stat.
    • Brand, M.1    Huang, K.2
  • 100
    • 77956363771 scopus 로고    scopus 로고
    • Nonobtuse remeshing and decimation
    • Li J., Zhang H.: Nonobtuse remeshing and decimation, SGP (2006), pp. 235-238.
    • (2006) SGP , pp. 235-238
    • Li, J.1    Zhang, H.2
  • 103
  • 105
    • 70049118584 scopus 로고    scopus 로고
    • Mesh segmentation via spectral embedding and contour analysis
    • R. Liu and H. Zhang, "Mesh Segmentation via Spectral Embedding and Contour Analysis", Eurographics 2007.
    • Eurographics 2007
    • Liu, R.1    Zhang, H.2
  • 106
    • 77953995265 scopus 로고    scopus 로고
    • Hierarchical mesh segmentation via fuzzy clustering and cuts
    • S. Katz and A. Tal, "Hierarchical Mesh Segmentation via Fuzzy Clustering and Cuts", SIGGRAPH 2003.
    • SIGGRAPH 2003
    • Katz, S.1    Tal, A.2
  • 107
    • 85116838235 scopus 로고    scopus 로고
    • Laplacian-Beltrami eigenfunctions for deformation invariant shape representation
    • R. Rustomov, "Laplacian-Beltrami Eigenfunctions for Deformation Invariant Shape Representation", SGP 2007.
    • SGP 2007
    • Rustomov, R.1
  • 108
    • 36249030486 scopus 로고    scopus 로고
    • Non-rigid spectral correspondence of triangle meshes
    • V. Jain, H. Zhang, O. van Kaick, "Non-Rigid Spectral Correspondence of Triangle Meshes, IJSM 2007.
    • IJSM 2007
    • Jain, V.1    Zhang, H.2    Van Kaick, O.3
  • 110
    • 34248170194 scopus 로고    scopus 로고
    • A spectral approach to shape-based retrieval of articulated 3D Models
    • V. Jain and H. Zhang, "A Spectral Approach to Shape-Based Retrieval of Articulated 3D Models", CAD 2007.
    • CAD 2007
    • Jain, V.1    Zhang, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.