摘要
变分造型是自由曲线曲面交互设计中常用的技术之一 .在传统的变分造型技术中 ,一般将此类问题转化为对控制顶点的优化求解问题 .但当基函数数量较多时 ,B样条的局部性常会导致待求解系统的性态不好、求解效率降低 .对此 ,文中应用小波方法解决准均匀 B样条曲线曲面变分造型中的优化求解问题 .由于小波基具有多分辨特性 。
Easy and quick manipulation of geometry is the key requirement of an interactive CAD system. One of the most widely used approaches is variational technology. Traditionally, a variational problem can be transformed to the optimization of control points. Unfortunately as the number of basis functions in the set grows, the local support property of B spline often makes an optimization system poorly conditioned, which results in low efficiency. To solve this problem, a wavelet based method is presented for the variational modeling of quasi uniform B spline curves and surfaces. With the multiresolution property of wavelets basis, the iteration speed can be greatly improved.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2002年第1期61-65,共5页
Journal of Computer-Aided Design & Computer Graphics
基金
国家自然科学基金 (69673 0 0 5 )资助
