Creases-persevering Mesh Smoothing Based on the Discrete Differential Operators

Yihui Guo
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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.
基于离散微分算子的网格保持折痕平滑
本文介绍了一种利用离散微分拉普拉斯算子实现网格保皱平滑的新方法。拉普拉斯-贝尔特拉米算子的本征函数是用来定义类傅里叶函数基和变换的,因为它是几何敏感的,而且是正交的。但基于类傅立叶方法的低通滤波器不能保留折痕。本文提出了一种新的滤波方法,在滤波时能更好地保留折痕,并能有效地去除任意三维网格表面的各种噪声,更彻底地防止模型的收缩和变形。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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