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An algorithm for the construction of intrinsic delaunay triangulations with applications to digital geometry processing
2006
ACM SIGGRAPH 2006 Courses on - SIGGRAPH '06
The discrete Laplace-Beltrami operator plays a prominent role in many Digital Geometry Processing applications ranging from denoising to parameterization, editing, and physical simulation. The standard discretization uses the cotangents of the angles in the immersed mesh which leads to a variety of numerical problems. We advocate use of the intrinsic Laplace-Beltrami operator. It satisfies a local maximum principle, guaranteeing, e.g., that no flipped triangles can occur in parameterizations.
doi:10.1145/1185657.1185668
dblp:conf/siggraph/FisherSBS06
fatcat:ohxbhb77dba4raattrgahiwuji