NURBS曲线曲面的多分辨率几何建模  

Multiresolution Geometric Modeling for NURBS Curves and Surfaces

作　　者：李爱民[1] 方宗德[1] 

机构地区：[1]西北工业大学机电学院

出　　处：《计算机辅助设计与图形学学报》2010年第8期1339-1343,共5页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(50875211)

摘　　要：针对均匀和准均匀B样条小波多分辨率建模表示能力和适应性的不足,基于离散内积和非均匀B样条节点插入算法建立了一种非均匀半正交B样条小波,并进一步论述了其在非均匀B样条曲线曲面中的多分辨率设计.最后通过实例对非均匀B样条曲线曲面中的多分辨率建模进行了说明和验证.A kind of semi-orthogonal nonuniform B-spline wavelets is proposed based on discrete inner product and B-spline knot insertion algorithm. It has stronger representation capability and extensive adaptability compared with any uniform and quasi-uniform B-spline wavelets in CAGD CG. Multiresolution geometric modeling is discussed for nonuniform B-spline curves and surfaces using nonuniform B-spline wavelets. The experimental results show the efficiency of proposed non-uniform B-spline wavelets in multiresolution geometric modeling.

关 键 词：NURBS 几何建模 非均匀B样条小波 多分辨率分析 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]