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ICIAP
2009
ACM

Discrete Distortion for Surface Meshes

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 that distortion can be successfully used to estimate mean curvature at any point of a surface. We compare our approach with the continuous case and with a common discrete approximation of mean curvature, which depends on the area of the star of each vertex in the triangulated surface. This provides a new, area-independent, tool for curvature estimation and for morphological shape analysis. We illustrate our approach through experimental results showing the behavior of discrete distortion.
Mohammed Mostefa Mesmoudi, Leila De Floriani, Paol
Added 24 Nov 2009
Updated 24 Nov 2009
Type Conference
Year 2009
Where ICIAP
Authors Mohammed Mostefa Mesmoudi, Leila De Floriani, Paola Magillo
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