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ABSTRACT
We show how spectral methods may be applied to 3D mesh data to obtain compact representations. This is achieved by projecting the mesh geometry onto an orthonormal basis derived from the mesh topology. To reduce complexity, the mesh is partitioned into a number of balanced submeshes with minimal interaction, each of which are compressed independently. Our methods may be used for compression and progressive transmission of 3D content, and are shown to be vastly superior to existing methods using spatial techniques, if slight loss can be tolerated.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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CITED BY 71
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Hector M. Briceño , Pedro V. Sander , Leonard McMillan , Steven Gortler , Hugues Hoppe, Geometry videos: a new representation for 3D animations, Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation, July 26-27, 2003, San Diego, California
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Ryutarou Ohbuchi , Shigeo Takahashi , Takahiko Miyazawa , Akio Mukaiyama, Watermarking 3D polygonal meshes in the mesh spectral domain, No description on Graphics interface 2001, p.9-17, June 07-09, 2001, Ottawa, Ontario, Canada
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Yizhou Yu , Kun Zhou , Dong Xu , Xiaohan Shi , Hujun Bao , Baining Guo , Heung-Yeung Shum, Mesh editing with poisson-based gradient field manipulation, ACM Transactions on Graphics (TOG), v.23 n.3, August 2004
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O. Sorkine , D. Cohen-Or , Y. Lipman , M. Alexa , C. Rössl , H.-P. Seidel, Laplacian surface editing, Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, July 08-10, 2004, Nice, France
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Mario Botsch , Mark Pauly , Christian Rossl , Stephan Bischoff , Leif Kobbelt, Geometric modeling based on triangle meshes, ACM SIGGRAPH 2006 Courses, July 30-August 03, 2006, Boston, Massachusetts
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Max Wardetzky , Miklós Bergou , David Harmon , Denis Zorin , Eitan Grinspun, Discrete quadratic curvature energies, Computer Aided Geometric Design, v.24 n.8-9, p.499-518, November, 2007
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Mario Botsch , Mark Pauly , Leif Kobbelt , Pierre Alliez , Bruno Lévy , Stephan Bischoff , Christian Rössl, Geometric modeling based on polygonal meshes Video files associated with this course are available from the citation page, ACM SIGGRAPH 2007 courses, August 05-09, 2007, San Diego, California
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Martin Reuter , Silvia Biasotti , Daniela Giorgi , Giuseppe Patanè , Michela Spagnuolo, Technical Section: Discrete Laplace-Beltrami operators for shape analysis and segmentation, Computers and Graphics, v.33 n.3, p.381-390, June, 2009
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