端点处保持C^(r,s)连续的Bézier曲线一次降多阶算法  

Multi-Degree Reduction of Bézier Curves with C^(r,s) Endpoints Continuity

作　　者：徐少平[1,2] 张华[1] 江顺亮[2] 熊宇虹[2] 王三民[2] 

机构地区：[1]南昌大学机电工程学院,江西南昌330031 [2]南昌大学信息工程学院,江西南昌330031

出　　处：《工程图学学报》2009年第4期80-85,共6页Journal of Engineering Graphics

基　　金：国家863计划资助项目(2007AA04Z242);江西省教育厅科技计划课题资助项目(2007[27]号);江西省教育厅教改课题资助项目(JXJG-08-1-35)

摘　　要：提出了一种基于Legendre直交多项式,在端点保持非对称连续性、一次降多阶的Bézier曲线降阶算法。降阶后的控制顶点矢量可以表示为降阶转换矩阵与原曲线控制顶点乘积的形式。给出了这个降阶转换矩阵的推导和计算过程。Through merging the work of Byung-Gook Lee and Guodong Chen, a concise way of realizing multi-degree reduction of Bezier curve based on Legendre polynomial is proposed. The control points of the degree reduced curve can be obtained as a product of the degree reduction transformation matrix and the original control vertices. The deduction and calculation of the multi-degree reduction matrix are given.

关 键 词：计算机应用 Bézier曲线降阶算法 降阶转换矩阵 LEGENDRE多项式 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]