ABSTRACT
Isotropic diffusion refers to a diffusion process that transmits heat equally to all directions. It usually happens to a one-piece domain with uniform material and nature. A counterpart is anisotropic diffusion, which may behave differently at each direction. For example, heat diffusion from iron to wood is anisotropic at the joint. Anisotropic geometry diffusion and bilateral filter have been proposed to smooth bivariate data or general discretized surfaces. The anisotropic geometry diffusion [Desbrun et al. 00, Clarenz et al. 00, Hildebrandt and Polthier 04] is either complex or sensitive to boundary and scale changes. The bilateral filter [Jones et al. 03,Fleishman et al. 03, Su et al. 09] focuses on only local geometry information, which may also suffer from the problems of mesh quality and sampling. Moreover, they may result in degeneracy due to energy loss during the diffusion procedure.
