Variational Modeling of Free-form Curve and Surface Using Wavelet Basis Functions

作     者：Zhao Gang Yan Guangrong Mu Guowang Zhu Xinxiong 

作者机构：School of Mechanical Eng.&Auto.Beijing University of Aeronautics&AstronauticsBeijing 100083China 

出 版 物：《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造（英文版）)

年 卷 期：2000年第10卷第2期

页      面：10-18页

学科分类：081203[工学-计算机应用技术] 08[工学] 0835[工学-软件工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：wavelet variational modeling quasi-uniform B-spli? 

摘      要：Variational modeling approach is often used to interactively design free-form curves and surfaces. Traditionally, a variational problem can be transformed to the optimization of control points. Unfortunately, as the number of basis functions grows, the local support property of B-spline often makes the computation of an optimization system time-consuming. To solve this problem, wavelet basis instead of B-spline basis is used to represent the curves or surfaces. Because the wavelet basis is a hierarchical basis with multiresolution property, the coarse wavelet basis can be used to describe the overall shape of the curves/surfaces, while the finer wavelet basis used to describe the details of the curves/surfaces. Thus, the computing speed of the optimization system can be raised greatly.