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基于最小二乘网格的模型变形算法
引用本文:王仁芳,许秋儿,汪沁,刘云鹏,张三元.基于最小二乘网格的模型变形算法[J].计算机辅助设计与图形学学报,2010,22(5).
作者姓名:王仁芳  许秋儿  汪沁  刘云鹏  张三元
作者单位:1. 浙江万里学院计算机与信息学院,宁波,310027
2. 浙江大学计算机科学与技术学院,杭州,310027
基金项目:国家“八六三”高技术研究发展计划(2007AA01Z311,2007AA04Z1A5);;浙江省自然科学基金(Y1090137);;宁波市自然科学基金(2009A610086);;2009年度浙江省大学生科研创新团队资助项目
摘    要:针对自由变形技术难以保持模型细节的问题,提出一种基于最小二乘网格的模型变形算法.通过顶点位置约束的全局拉普拉斯光顺分解出表示模型低频信号的最小二乘网格,并求出高频信号在该网格上的编码;通过用户交互,基于均值坐标对最小二乘网格进行自由变形;根据最小二乘网格各顶点处局部标架在变形时的几何变换求出变形后的高频编码,通过解码求出变形后的网格模型.实验结果表明,该算法简单、高效且便于用户交互,有效地保持了模型的几何细节.

关 键 词:最小二乘网格  高频信号  均值坐标  自由变形  局部标架  

Shape Deformation Based on Least-Square Mesh
Wang Renfang,Xu Qiuer,Wang Qin,Liu Yunpeng,Zhang Sanyuan.Shape Deformation Based on Least-Square Mesh[J].Journal of Computer-Aided Design & Computer Graphics,2010,22(5).
Authors:Wang Renfang  Xu Qiuer  Wang Qin  Liu Yunpeng  Zhang Sanyuan
Affiliation:College of Computer Science and Information Technology/a>;Zhejiang Wanli University/a>;Ningbo 315100;College of Computer Science and Technology/a>;Zhejiang University/a>;Hangzhou 310027
Abstract:The main drawback of free-form deformation method is not able to preserve the features of shape.To address it,an efficient shape deformation algorithm is proposed based on least-square mesh.By using the global Laplacian smoothing with positional constraints,the least square mesh(LSM) including only low-frequency component of a shape is first extracted,and the high-frequency signals of the shape are encoded based on LSM.According to user editing and mean value coordinates,LSM is then deformed with free-form ...
Keywords:least-square mesh  high-frequency signal  mean value coordinates  free-form deformation  local frames  
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