Creases-persevering Mesh Smoothing Based on the Discrete Differential Operators

Abstract

This paper introduces a new method to mesh smoothing with crease-preserving by using discrete differential Laplacian operators. The eigenfunctions of the Laplace-Beltrami operator are used to define Fourier-like function basis and transform because it is both geometry aware and orthogonal. But the low-pass filters based on Fourier-like methods cannot preserve the creases. This paper proposes a novel approach which can preserve the creases better when filtering, and it can effectively get rid of various of noise in arbitrary 3D meshed surfaces, more over completely prevent the model from shrinking and deforming.