带折痕的Loop细分曲面等距面处理算法  

An Offset Algorithm for Loop Subdivision Surface with Creases

作　　者：白杰[1,2] 赵罡[1,2] 姚福生[1,2] 

机构地区：[1]虚拟现实技术与系统国家重点实验室,北京100083 [2]北京航空航天大学机械工程及自动化学院,北京100083

出　　处：《计算机辅助设计与图形学学报》2008年第10期1261-1265,共5页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(60603089);北京市科技新星计划(2007B018)

摘　　要：Loop细分曲面不同细分层次的网格面可作为不同加工工序的加工模型.现有等距面生成算法因未考虑折痕和边界的特殊情况,当折痕或边界存在时将会生成与预期结果有较大差别的等距面.给出了折痕等尖锐特征处极限等距位置的计算方法,以及根据尖锐特征点极限位置反求初始网格等距位置的Gauss-Jacobi迭代公式,并证明了其迭代收敛性.采用文中算法得到的等距网格面令人满意.The different levels of Loop subdivision surfaces could be used as the geometrical models for different procedures of the NC machining. Using the existing algorithms which did not consider the crease or the border, we may receive different results other than what we expect. Firstly, a method is presented to compute the limit offset positions for the sharp points. Secondly, the Gauss-Jacobi iterative formulas to compute the offset positions of the initial control points based on the limit offset positions are provided. At last, the astringency of the iterative formulas is proved. The results illustrate the feasibility of the methods.

关 键 词：折痕 等距面 法矢 LOOP细分 

分 类 号：TP391.73[自动化与计算机技术—计算机应用技术]