摘要
多层B样条方法在曲面的拟合中提供了新的途径。在证明均匀B样条基函数P-nary细分方程基础上,给出了均匀B样条曲线的P-nary细分控制点之间的计算公式,进而讨论了B样条曲面的P-nary细分问题,并将其用于层次B样条曲面拟合。提出了基于P-nary细分多层B样条曲面拟合算法。该算法加快了层次B样条曲面拟合中网格加细后曲面控制点的计算,数值实例显示所给算法的有效性。
The multilevel B-splines reconstruction. In this paper, the subdivision approximation is a good method for surface formulae for B-splines basis function and B-splines curves are first given, then the B-splines surfaces subdivision are discussed. An algorithm of surface reconstruction based on multilevel B-splines of P-nary subdivision is proposed which fast computing the control points of refined B-splines surfaces. Experimental results demonstrate the algorithm is valid.
出处
《工程图学学报》
CSCD
北大核心
2008年第1期88-90,共3页
Journal of Engineering Graphics
基金
国家自然科学基金资助项目(10171026)
关键词
计算机应用
多层B样条
P-nary细分
曲面拟合
computer application
multilevel B-splines
P-nary subdivision
surface approximation
