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SGP
2007
15 years 7 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...
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SGP
2007
15 years 7 months ago
Discrete laplace operators: no free lunch
Discrete Laplace operators are ubiquitous in applications spanning geometric modeling to simulation. For robustness and efficiency, many applications require discrete operators th...
Max Wardetzky, Saurabh Mathur, Felix Kälberer...
SGP
2007
15 years 7 months ago
Voronoi-based variational reconstruction of unoriented point sets
We introduce an algorithm for reconstructing watertight surfaces from unoriented point sets. Using the Voronoi diagram of the input point set, we deduce a tensor field whose princ...
Pierre Alliez, David Cohen-Steiner, Yiying Tong, M...
SGP
2007
15 years 7 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...
SGP
2007
15 years 7 months ago
A streaming algorithm for surface reconstruction
We present a streaming algorithm for reconstructing closed surfaces from large non-uniform point sets based on a geometric convection technique. Assuming that the sample points ar...
Rémi Allègre, Raphaëlle Chaine,...