Global diffusion method for smoothing triangular mesh

Abstract

In this paper, we propose a new smoothing method based on physical principles. The smoothing process is modeled using the heat transfer process. We start from the global equation of heat conservation and we decompose it into basic laws. The numerical scheme is derived directly from the discretization of the basic heat transfer laws using computation algebraic topological tools, thus providing a physical and topological explanation for each step of the discretization process. In such a way, the geometry, topology and physics are concurring together in a unified framework to define and simulate the diffusion process to reduce random noise on the surface of the object. Experimental results show a good performance in improvement of the proposed approach compared to existing smoothing methods.