Mesh Coarsening. zhenyu shu 2007.5.12. Mesh Coarsening. Large meshes are commonly used in numerous application area Modern range scanning devices are used High resolution mesh model need more time and more space to handle
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Original model An approximation
with 69451 triangles with 1000 triangles
data structure to
to improve the angles of the adjacent faces
here K and H are approximated discrete Gaussian and mean curvatures
Meyer M, Desbrun M, Schroder P, et al. Discrete differential geometry operator for triangulated 2-manifolds [A]. In: Proceedings of Visual Mathematics'02, Berlin, 2002. 35～57
where d is a function of distance.
here is a density function of