olgaInteractive Shape Modeling(1):classmaterials:Digital Geometry Processing

http://cs.nyu.edu/~sorkine/courses/shape_modeling/isp2009/pmwiki.php?n=ClassMaterial.DGP

Digital geometry processing topics include mesh smoothing and denoising, mesh simplification and multiresolution analysis, mesh resampling and remeshing, parameterization and more. The tools used for processing rely heavily on discrete differential geometry and numerical linear algebra.

Slides

• DGP slides
• Revised DGP slides

Related materialConference courses/tutorials:

• Geometric Modeling Based on Polygonal Meshes, M. Botsch and colleagues
• Mesh Parameterization: Theory and Practice, A. Sheffer and colleagues

Papers:Smoothing

• A Signal Processing Approach to Fair Surface Design, G. Taubin, SIGGRAPH 2005
• Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow, M. Desbrun and colleagues, SIGGRAPH 99
• Bilateral Mesh Denoising, SIGGRAPH 2003

Simplification

• Mesh Optimization, H. Hoppe and colleagues, SIGGRAPH 93
• Surface Simplification Using Quadric Error Metrics, M. Garland and P. Heckbert, SIGGRAPH 97
• Mesh Saliency, C. Lee and colleagues, SIGGRAPH 2005

Parameterization

• Parametrization and Smooth Approximation of Surface Triangulations, M. Floater, CAGD 14 (1997), 231-250
• Harmonic Maps
• Texture Mapping Progressive Meshes, P. Sander and colleagues, SIGGRAPH 2001
• Bounded-Distortion Piecewise Mesh Parameterization, O. Sorkine and colleagues, Visualization 2002
• Least Squares Conformal Maps for Automatic Texture Atlas Generation, B. Levy and colleagues, SIGGRAPH 2002
• Intrinsic Parameterizations of Surface Meshes, M. Desbrun and colleagues, Eurographics 2002
• ABF++ : Fast and Robust Angle Based Flattening, A. Sheffer and colleagues, ACM TOG, April 2005
• Conformal Equivalence of Triangle Meshes, B. Springborn and colleagues, SIGGRAPH 2008

Remeshing

• Interactive Geometry Remeshing, P. Alliez and colleagues, SIGGRAPH 2002
• Isotropic Remeshing of Surfaces: a Local Parameterization Approach, V. Surazhsky and colleagues, Meshing Roundtable 2003
• Anisotropic Polygonal Remeshing, P. Alliez and colleagues, SIGGRAPH 2003
• Explicit surface remeshing, V. Surazhsky and C. Gotsman, SGP 2003