有理参数曲线的最优参数化  

Optimal Parameterization of Rational Parameteric Curves

作　　者：厉玉蓉[1,2] 李丹[3] 

机构地区：[1]山东省高校智能信息处理重点实验室(山东工商学院),烟台264005 [2]山东工商学院计算机科学与技术学院,烟台264005 [3]山东师范大学信息科学与工程学院,济南250014

出　　处：《计算机辅助设计与图形学学报》2015年第10期1988-1992,共5页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(61272244;61373079;61175023)

摘　　要：为了利用有理参数曲线的自由度求解其最优参数化,提出一种能够快速准确地确定有理参数曲线最优参数化方程的算法.首先给出了有理参数曲线最优参数化方程的充分条件,即两端点参数速率相等且为最值;然后对一般情形的有理参数曲线方程提出求最优参数化方程的算法.与其他算法进行实验的参数化结果表明,该算法具有简单可靠、计算量小、效果好、适用范围广的优点.In order to use the rational freedom to solve the optimal parameterization of parametric curves, this paper present a fast and accurate algorithm for determining optimal parametric equation of rational para-metric curve. The sufficient condition of optimal parametric equation of rational parametric curve is given firstly, that is, both ends have the same rate and the values of them are optimal; then the algorithm for finding optimal parametric equations of general rational parametric curve is proposed. Compared with other algorithms, the algorithm is simple, reliable, less amount of computation, effective, and applicable to a wide range.

关 键 词：有理参数曲线 最优参数化 参数速率 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]