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参数曲线曲面自由变形的多项式因子方法
引用本文:刘植,邬弘毅,张莉,陈晓彦. 参数曲线曲面自由变形的多项式因子方法[J]. 计算机辅助设计与图形学学报, 2009, 21(3)
作者姓名:刘植  邬弘毅  张莉  陈晓彦
作者单位:合肥工业大学计算机与信息学院,合肥,230009;合肥工业大学数学系,合肥,230009;合肥工业大学数学系,合肥,230009;安徽新华学院公共课程部,合肥,230088;合肥工业大学数学系,合肥,230009
基金项目:安徽省自然科学基金,合肥工业大学科研基金 
摘    要:为得到理想的造型效果,提出一种空间参数曲线曲面自由变形的方法.首先引入基于多项式的伸缩因子,并构造了空间变形矩阵;然后将变形矩阵或伸缩因子作用于待变形曲线曲面方程,从而得到形变效果.实验结果表明,该方法计算简单、易于控制,可得到较好的变形效果.

关 键 词:参数曲线曲面  伸缩因子  变形矩阵  自由变形

Method of Polynomial Factor for Free-Form Deformation of Parametric Curves and Surfaces
Liu Zhi,Wu Hongyi,Zhang Li,Chen Xiaoyan. Method of Polynomial Factor for Free-Form Deformation of Parametric Curves and Surfaces[J]. Journal of Computer-Aided Design & Computer Graphics, 2009, 21(3)
Authors:Liu Zhi  Wu Hongyi  Zhang Li  Chen Xiaoyan
Affiliation:College of Computer and Information;Hefei University of Technology;Hefei 230009;Department of Mathematics;Hefei 230009;Department of Common Courses;Anhui Xinhua College;Hefei 230088
Abstract:In order to obtain ideal modeling effects,a new technique for free-form deformation of space parametric curves and surfaces is presented.First,a polynomial scaling factor is introduced and a space deformation matrix is constructed.Then the deformation of a curve or surface is achieved through multiplying the equation of the curve or surface by the deformation matrix or scaling factor.Experiments show that the method is simple,intuitive and easy to control,and desired deformations can be easily achieved.
Keywords:parametric curve and surface  extension or contraction factor  deformation matrix  free-form deformation  
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