【摘要】 利用准均匀B样条基函数和二维B样条小波的多分辨分析理论,简述了准均匀B样条基函数作为尺度函数而构造的B样条小波及其分解算法,并给出了NURBS曲面的分解算法.基于NURBS曲面(B样条曲面)的G1连续条件及其多尺度表示,给出了两个多尺度NURBS曲面间保持G1连续的算法与实现过程.更多还原

【Abstract】 Based on quasi-uniform B-spline basis functions and multi-resolution theory of B-spline wavelets of two dimension, the B-spline wavelets constructed by taking quasi-uniform B-spline basis functions as scaling function as well as its decomposition algorithm are described. Further, the decomposition algorithm for NURBS surface is studied.By making use of G1 conditions for two NURBS surfaces(B-spline surfaces in this paper) and their multi-resolution representations,this paper presents the algorithm for maintaining the G1 continuity of two multi-level NURBS surfaces and its implementation.更多还原