B-spline Surfaces Modified Geometry with Control Vertices of Weighted Constrained Optimization

摘要：

B-spline surfaces are widely suitable for the computer-aided geometric design (CAGD) and the modified geometry is one of the important technologies in CAGD. According to variations and weighting coefficients of single or multiple control vertices, the control vertices are modified by the method of weighted constrained optimization, the method of least squares was used for the optimal positions of control vertices on surfaces, and finally the modified B-spline surfaces are worked out by use of the variations of control vertices which had been calculated. The proposed approach not only can realize several modified geometry and deformation, but also is convenient for interaction design. The efficiency of the proposed approaches is illustrated by a practical application.

关键词： computer graphics B-spline surface constrained optimization weighted factor

作者: Yue Zhao Hui Wang Zaigang Wang

作者单位: School of Mathematics and Statistics, Yunnan University, Kunming, 650091, China

会议类型: 国际会议

会议名称: 2010 International Conference on Advanced Mechanical Engineering(2010年先进机械工程国际学术会议 AME 2010)

会议地点: 洛阳

会议语种:英文

页码: 131-134

在线出版日期: 2010-09-04（万方平台首次上网日期，不代表论文的发表时间）