上面的图是对horse模型的不断平滑结果,结果是收敛为一点(这个图没有贴上来,上面的图已经足够看到这个trend了)!!!Reference: Skeleton Extraction by Mesh Contraction. ACM TOC 2008.
"Laplacian Smoothing that moves vertices along their approximation curvature normal directions. Note that an unconstrained normal flow of the vertices would progressively smooth out all the details of the model and converge into a single point."
在 [Spectral Geometry Processing. ACM siggraph Asia course notes, 2009 and ACM SIGGRAPH 2010 course notes. Bruno Levy and Hao Zhang]中作者将Laplacian smoothing 写成了一个函数,对平滑次数m求极限时候就可以推导出最后收敛于模型的中心点(x,y,z的和平均)。
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