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Creases-persevering Mesh Smoothing Based on the Discrete Differential Operators

机译:基于离散微分算子的折痕持久网格平滑

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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.
机译:本文介绍了一种使用离散微分拉普拉斯算子对网格进行平滑处理并保留折痕的方法。 Laplace-Beltrami运算符的本征函数用于定义类似傅立叶的函数基础和变换,因为它既具有几何感知能力,又具有正交性。但是,基于傅立叶式方法的低通滤波器无法保留折痕。本文提出了一种新颖的方法,该方法可以在过滤时更好地保留折痕,并且可以有效地消除任意3D网格表面中的各种噪声,而且可以完全防止模型收缩和变形。

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