Laplacian Deformation Algorithm Based on Mesh Model Simplification

J. Sun, Yu Ding, Zedong Huang, Ning Wang, Xinglong Zhu, J. Xi
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引用次数: 3

Abstract

Laplacian surface editing is an intuitive mesh deformation tool that preserves surface detail features when editing mesh models. However, the Laplace editing algorithm needs to solve a linear matrix system proportional to the number of vertices of the three-dimension (3D) mesh model, which is highly time-consuming for 3D model deformation. Therefore, the purpose of this paper is to present an improved deformation algorithm of Laplacian based on the mesh model simplification. The simplified method of vertex deletion is used to simplify the original 3D mesh model and the Laplacian deformation technique is adopted in the simplified mesh module. The deformation efficiency of the model is improved while the rotation invariant feature is guaranteed. The result of the experiment also verifies the effectiveness of this algorithm.
基于网格模型简化的拉普拉斯变形算法
拉普拉斯曲面编辑是一个直观的网格变形工具,在编辑网格模型时保留表面细节特征。然而,拉普拉斯编辑算法需要求解一个与三维网格模型顶点数成正比的线性矩阵系统,这对于三维模型变形来说非常耗时。因此,本文的目的是在网格模型简化的基础上提出一种改进的拉普拉斯变形算法。采用顶点删除的简化方法对原三维网格模型进行简化,简化网格模块采用拉普拉斯变形技术。在保证模型旋转不变性的同时,提高了模型的变形效率。实验结果也验证了该算法的有效性。
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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