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B样条曲面变形方法的设计与实现
引用本文:朱美玲,董玲珍. B样条曲面变形方法的设计与实现[J]. 太原科技大学学报, 2013, 0(4): 312-317
作者姓名:朱美玲  董玲珍
作者单位:[1]太原城市职业技术学院,太原030027 [2]太原理工大学理学院,太原030024
基金项目:国家自然科学基金资助项目(11072167)
摘    要:介绍了双三次B样条曲面的变形基础和曲面拼接的表达式,提出了一种双三次B样条曲面生成的改进算法,采用点约束、目标曲线约束两种几何约束驱动双三次B样条曲面变形,在点约束求解中以控制节点位移最小为目标函数,使用LINGO软件计算得到该目标下的最优解,利用MATLAB辅助计算得到变形结果,最后给出了计算实例验证了该方法的可行性。

关 键 词:B样条曲面  变形  几何约束  优化

Design and Implementation of Shape Modification Method for B-spline Surface
ZHU Mei-ling,DONG Ling-zhen. Design and Implementation of Shape Modification Method for B-spline Surface[J]. Journal of Taiyuan University of Science and Technology, 2013, 0(4): 312-317
Authors:ZHU Mei-ling  DONG Ling-zhen
Affiliation:1. Taiyuan City Vocational College, Taiyuan 030027, China ; 2. College of Applied Science ,Taiyuan University of Technology,Taiyuan 030024, China)
Abstract:In this paper, the basis for deformation of bi-cubic B-spline surface and the expression of curved surface splicing are presented. A improved generating algorithm of bi-cubic B-spline curve is discussed. Geometrical constraints including point constraint, and target curve constraint are adopted to During the point constraint solving, with the control minimum node software was used to obtain the optimal solution under the target. In drive bi-cubic B-spline surface deformations. displacement as objective function, the LINGO the target curve constraint, the results of deformation are auxiliarily calculated by MATLAB. The calculation examples were finally given, and the results indicate that the method is feasible.
Keywords:outlier data   high-dimensional data set   attribute relevance analysis   gini index
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