Mesh optimisation based on Willmore energy

ALBOUL, Lyuba, BRINK, Willie and RODRIGUES, Marcos (2006). Mesh optimisation based on Willmore energy. In: 22nd European Workshop on Computational Geometry, Delphi, Greece, March 27-29 2006.

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An algorithm for improving the quality of an initial triangulation on a fixed set of vertices is suggested. The edge flip operation is performed consecutively, aiming to minimise the discrete Willmore energy over a triangulated surface (or mesh). The Will- more energy of a surface is a function of Gaussian and mean curvature, and measures local deviation from a sphere. Virtual points are introduced in the triangulation to overcome the local invariance of Willmore energy under edge flips. Some experimental results are given.

Item Type: Conference or Workshop Item (Paper)
Research Institute, Centre or Group - Does NOT include content added after October 2018: Cultural Communication and Computing Research Institute > Communication and Computing Research Centre
Depositing User: Marcos Rodrigues
Date Deposited: 30 Apr 2014 09:24
Last Modified: 18 Mar 2021 13:34

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