Multiresolution for Closed Curves and Surfaces Using Wavelets  

作　　者：ZHAO Gang BAI Jie WANG Chao YAO Fu-sheng 

机构地区：[1]School of Mechanical Engineering and Automation, Beijing University of Aeronautics ＆ Astronautics, Beijing 100083, China

出　　处：《Computer Aided Drafting,Design and Manufacturing》2005年第2期1-13,共13页计算机辅助绘图设计与制造（英文版）

摘　　要：Multiresolution modeling is becoming a powerful tool for fast display, and geometric data compression and transmission of complex shapes. Most of the existing literatures investigating the multiresolution for B-spline curves and surfaces are concentrated on open ones. In this paper, we focus on the multiresolution representations and editing of closed B-spline curves and surfaces using wavelets. A repetition approach is adopted for the multiresolution analysis of closed B-spline curves and surfaces. Since the closed curve or surface itself is periodic, it can overcome the drawback brought by the repetition method, i.e. introducing the discontinuities at the boundaries. Based on the models at different multiresolution levels, the multiresolution editing methods of closed curves and surfaces are introduced. Users can edit the overall shape of a closed one while preserving its details, or change its details without affecting its overall shape.

关 键 词：closed B-spline curves closed B-spline surfaces WAVELETS multiresolution representation analysis multiresolution representation multiresolution editing 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]