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Multiresolution Signal Processing for Meshes (1999)  (Make Corrections)  (94 citations)
Igor Guskov, Wim Sweldens, Peter Schröder
Siggraph 1999, Computer Graphics Proceedings



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Abstract: We generalize basic signal processing tools such as downsampling, upsampling, and filters to irregular connectivity triangle meshes. This is accomplished through the design of a non-uniform relaxation procedure whose weights depend on the geometry and we show its superiority over existing schemes whose weights depend only on connectivity. This is combined with known mesh simplification methods to build subdivision and pyramid algorithms. We demonstrate the power of these algorithms through a... (Update)

Cited by:   More
Discrete Dierential-Geometry Operators - For Triangulated Manifolds   (Correct)
The Visual Computer manuscript No. - Will Be Inserted   (Correct)
EUROGRAPHICS 2005 / M. Alexa and J. Marks - Guest Editors Volume   (Correct)

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0.5:   Fine Level Feature Editing for Subdivision Surfaces - Khodakovsky, Schröder (1999)   (Correct)
0.3:   Multivariate Subdivision Schemes And Divided Differences - Guskov (1998)   (Correct)
0.2:   Implicit Fairing of Irregular Meshes using Diffusion.. - Desbrun, Meyer.. (1999)   (Correct)

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0.5:   MAPS: Multiresolution Adaptive Parameterization of.. - Lee, Sweldens.. (1998)   (Correct)
0.4:   Hybrid meshes: Multiresolution using regular and.. - Guskov.. (2002)   (Correct)
0.3:   Consistent Mesh Parameterizations - Praun, Sweldens, Schröder (2001)   (Correct)

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BibTeX entry:   (Update)

I. Guskov, W. Sweldens, and P. Schroder. Multiresolution signal processing for meshes. In Computer Graphics Proceedings (SIGGRAPH '99), pages 325-334, 1999. http://citeseer.ist.psu.edu/guskov99multiresolution.html   More

@inproceedings{ guskov99multiresolution,
    author = "Igor Guskov and Wim Sweldens and Peter Schr{\"{o}}der",
    title = "Multiresolution Signal Processing for Meshes",
    booktitle = "Siggraph 1999, Computer Graphics Proceedings",
    publisher = "Addison Wesley Longman",
    address = "Los Angeles",
    editor = "Alyn Rockwood",
    pages = "325--334",
    year = "1999",
    url = "citeseer.ist.psu.edu/guskov99multiresolution.html" }
Citations (may not include all citations):
437   Laplacian Pyramid as a Compact Image Code - BURT, AND - 1983
430   Progressive Meshes - HOPPE - 1996
307   Multiresolution Analysis of Arbitrary Meshes - ECK, DEROSE et al. - 1995
298   Surface Simplification Using Quadric Error Metrics - GARLAND, AND - 1996
157   The lifting scheme: A construction of second generation wave.. - SWELDENS - 1997
156   A Signal Processing Approach to Fair Surface Design - TAUBIN - 1995
143   Algebraic Topology (context) - SPANIER - 1966
112   Survey of Polygonal Surface Simplification Algorithms - HECKBERT, AND - 1997
101   Interactive Multiresolution Mesh Editing - ZORIN, SCHR et al. - 1997
96   Interactive Multi-Resolution Modeling on Arbitrary Meshes - KOBBELT, CAMPAGNA et al. - 1998
91   Implicit Fairing of Irregular Meshes using Diffusion and Cur.. - DESBRUN, MEYER et al. - 1999
80   Functional optimization for fair surface design (context) - MORETON, AND et al. - 1992
77   A Linear Algorithm for Determining the Separation of Convex .. (context) - DOBKIN, AND - 1985
72   Subdivision Surfaces in Character Animation (context) - DEROSE, KASS et al. - 1998
51   Free--Form Shape Design Using Triangulated Surfaces - WELCH, AND - 1994
48   A General Framework for Mesh Decimation - KOBBELT, CAMPAGNA et al. - 1998
36   Parameterization and Smooth Approximation of Surface Triangu.. (context) - FLOATER - 1997
33   Discrete Fairing - KOBBELT - 1997
28   Wires: A Geometric Deformation Technique - SINGH, AND - 1998
23   MAPS: Multiresolution Adaptive Parametrization of Surfaces (context) - LEE, SWELDENS et al. - 1998
18   Non-Distorted Texture Mapping for Sheared Triangulated Meshe.. (context) - EVY, AND - 1998
18   On multivariate polynomial interpolation (context) - DE BOOR, AND - 1990
14   Regularity of irregular subdivision - DAUBECHIES, GUSKOV et al. - 1999
10   Fine Level Feature Editing for Subdivision Surfaces - KHODAKOVSKY, AND - 1999
9   Multivariate Subdivision Schemes and Divided Differences - GUSKOV - 1998
8   Optimal Surface Smoothing as Filter Design (context) - TAUBIN, ZHANG et al. - 1996
6   A multivariate divided differences - DE BOOR - 1995
5   Generation of finite difference formulas on arbitrarily spac.. (context) - FORNBERG - 1988
2   Course Notes: Subdivision for Modeling and Animation (context) - ODER, AND et al. - 1998



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