Differentiable Parameterization of Catmull-Clark Subdivision Surfaces (English)

inEurographics Symposium on Geometry Processing ; 159-168
Eurographics Symposium on Geometry Processing
The Eurographics Association , Postfach 8043, 38621 Goslar, Germany; 2004

Subdivision-based representations are recognized as important tools for the generation of high-quality surfaces for Computer Graphics. In this paper we describe two parameterizations of Catmull-Clark subdivision surfaces that allow a variety of algorithms designed for other types of parametric surfaces (i.e., B-splines) to be directly applied to subdivision surfaces. In contrast with the natural parameterization of subdivision surfaces characterized by diverging first order derivatives around extraordinary vertices of valence higher than four, the derivatives associated with our proposed methods are defined everywhere on the surface. This is especially important for Computer-Aided Design (CAD) applications that seek to address the limitations of NURBS-based representations through the more flexible subdivision framework.

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Table of contents conference proceedings

The table of contents of the conference proceedings is generated automatically, so it can be incomplete, although all articles are available in the TIB.

11
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23
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Comparing Point Clouds
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43
Geometric Texture Synthesis by Example
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47
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57
Signal-Specialized Parameterization for Piecewise Linear Reconstruction
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67
Seamless Texture Atlases
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77
Connectivity Transformation for Mesh Metamorphosis
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85
A data structure for non-manifold simplicial d-complexes
Floriani, Leila De / Greenfieldboyce, David / Hui, Annie | 2004
95
Simplification and Improvement of Tetrahedral Models for Simulation
Cutler, B. / Dorsey, J. / McMillan, L. | 2004
105
Lofting Curve Networks using Subdivision Surfaces
Schaefer, S. / Warren, J. / Zorin, D. | 2004
117
Symmetry Descriptors and 3D Shape Matching
Kazhdan, Michael / Funkhouser, Thomas / Rusinkiewicz, Szymon | 2004
127
Persistence Barcodes for Shapes
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139
Fast Collision Detection between Massive Models using Dynamic Simplification
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151
Smooth Subdivision of Tetrahedral Meshes
Schaefer, S. / Hakenberg, J. / Warren, J. | 2004
159
Differentiable Parameterization of Catmull-Clark Subdivision Surfaces
Boier-Martin, Ioana / Zorin, Denis | 2004
169
Second Order Smoothness over Extraordinary Vertices
Loop, Charles | 2004
179
Laplacian Surface Editing
Sorkine, O. / Cohen-Or, D. / Lipman, Y. / Alexa, M. / Rössl, C. / Seidel, H.-P. | 2004
189
A Remeshing Approach to Multiresolution Modeling
Botsch, Mario / Kobbelt, Leif | 2004
197
Parameterization of Triangle Meshes over Quadrilateral Domains
Boier-Martin, Ioana / Rushmeier, Holly / Jin, Jingyi | 2004
209
Similarity-Based Surface Modelling Using Geodesic Fans
Zelinka, Steve / Garland, Michael | 2004
219
Shape Segmentation Using Local Slippage Analysis
Gelfand, Natasha / Guibas, Leonidas J. | 2004
229
Two Algorithms for Fast Reclustering of Dynamic Meshed Surfaces
Carr, Nathan A. / Hart, John C. | 2004
241
Topology Preserving Surface Extraction Using Adaptive Subdivision
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251
Isotopic Approximation of Implicit Curves and Surfaces
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