A Quasi-Laplacian Smoothing Approach on Arbitrary Triangular Meshes

机译：任意三角形网格的拟Laplacian平滑方法

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A new method for smoothing triangular meshes is presented. Mean curvature normal is used to define a Quasi-Laplacian for smoothing inner vertices at a local region. Vertices are moved along the normal direction in a more appropriate velocity which can make mesh smoothing and shape preserving harmonizing well. For the boundary vertices,a new method for estimating the mean curvature normal is presented,so that for an arbitrary triangular mesh,the inner and the boundary vertices can be smoothed by the same smoothing process. Features of the original mesh can be preserved by the weighted mean curvature normal restriction of the neighbors of one vertex effectively. Experiments of comparison between the new method and previous methods are included in this paper.

机译：提出了一种平滑三角形网格的新方法。平均曲率法线用于定义拟Laplacian，以平滑局部区域的内部顶点。顶点沿着法线方向以更合适的速度移动，这可以使网格平滑并保持形状保持良好的协调。对于边界顶点，提出了一种估计平均曲率法线的新方法，以便对于任意三角形网格，可以通过相同的平滑过程对内部顶点和边界顶点进行平滑。有效地保留一个顶点的邻居的加权平均曲率法向约束可以保留原始网格的特征。本文包括了新方法与以前方法之间的比较实验。

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来源
《2007 IEEE International Conference on Computer-Aided Degign and Computer Graphics》|2007年|282-287|共6页
会议地点 Beijing(CN)
作者
Chengzhi ZHANG; rnWei SONG; rnChenghua LI; rnWei YU;
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作者单位

Yuanfeng Zhou@School of Computer Science and Technology,Shandong University,Ji(抧)an,China--Caiming Zhang@School of Computer Science and Technology,Shandong UniversityShandong economic University,China--Shanshan Gao@School of Computer Science and Technology,Shandong economic University,China--;

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原文格式 PDF
正文语种 eng
中图分类 TP391.42;
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1. A Construction Of Rational Manifold Surfaces Of Arbitrary Topology And Smoothness From Triangular Meshes [J] . Giovanni Delia Vecchia, Bert Juettler, Myung-Soo Kim Computer Aided Geometric Design . 2008,第9期

机译：从三角形网格构造任意拓扑和光滑度的有理流形表面
2. MASSIVELY PARALLEL APPROXIMATION OF IRREGULAR TRIANGULAR MESHES OF ARBITRARY TOPOLOGY WITH SMOOTH PARAMETRIC SURFACES [J] . Garcia MA. Theoretical computer science . 1996,第2期

机译：光滑参数曲面的任意拓扑不规则三角网的大规模并行逼近。
3. Stable Real-Time Surgical Cutting Simulation of Deformable Ob jects Embedded with Arbitrary Triangular Meshes [J] . Shi-Yu Jia, Zhen-Kuan Pan, Guo-Dong Wang, 计算机科学技术学报（英文版） . 2017,第006期

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4. A Quasi-Laplacian Smoothing Approach on Arbitrary Triangular Meshes [C] . Zhou Yuanfeng, Zhang Caiming, Gao Shanshan IEEE International Conference on Computer-Aided Design and Computer Graphics . 2007

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5. A characteristic-based multiple balance approach for solving the S(N) equations of arbitrary polygonal meshes. [D] . Grove, Robert Ernest. 1996

机译：基于特征的多重平衡方法，用于求解任意多边形网格的S（N）方程。
6. Quality improvement of surface triangular mesh using a modified Laplacian smoothing approach avoiding intersection [O] . Tiantian Liu, Minxin Chen, Yu Song, 2011

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7. A Construction of Rational Manifold Surfaces of Arbitrary Topology and Smoothness from Triangular Meshes [O] . Giovanni Della Vecchia, Bert Jüttler, Myung-Soo Kim 2009

机译：利用三角网格构造任意拓扑和光滑度的有理流形曲面。

A Quasi-Laplacian Smoothing Approach on Arbitrary Triangular Meshes

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