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SGP
2007
13 years 6 months ago
Robust statistical estimation of curvature on discretized surfaces
A robust statistics approach to curvature estimation on discretely sampled surfaces, namely polygon meshes and point clouds, is presented. The method exhibits accuracy, stability ...
Evangelos Kalogerakis, Patricio D. Simari, Derek N...
COMPGEOM
2003
ACM
13 years 9 months ago
Restricted delaunay triangulations and normal cycle
We address the problem of curvature estimation from sampled smooth surfaces. Building upon the theory of normal cycles, we derive a definition of the curvature tensor for polyhed...
David Cohen-Steiner, Jean-Marie Morvan
SGP
2007
13 years 6 months ago
Focal surfaces of discrete geometry
The differential geometry of smooth three-dimensional surfaces can be interpreted from one of two perspectives: in terms of oriented frames located on the surface, or in terms of ...
Jingyi Yu, Xiaotian Yin, Xianfeng Gu, Leonard McMi...
ICIAP
2009
ACM
14 years 4 months ago
Discrete Distortion for Surface Meshes
Abstract. Discrete distortion for two- and three-dimensional combinatorial manifolds is a discrete alternative to Ricci curvature known for differentiable manifolds. Here, we show ...
Mohammed Mostefa Mesmoudi, Leila De Floriani, Paol...