C^2连续近似弧长参数化曲线  

C^2-CONTINUOUS NEARLY ARC-LENGTH PARAMETERIZEDCURVE

作　　者：方逵[1] 谭建荣[2] 

机构地区：[1]长沙大学计算机科学与技术系 [2]浙江大学,310027

出　　处：《数值计算与计算机应用》2003年第2期144-148,共5页Journal on Numerical Methods and Computer Applications

基　　金：湖南省自然科学基金(编号 02JJY5007);省教育厅青年项目(编号 01B030)资助

摘　　要：This paper presents a method for nearly arc-length parameterization based on the rational cubic function. The arc-length function of parametric curve is monotonic increasing, the monotonity preserving rational cubic approximation for the arc-length function is derived. The resulting nearly arc-length parametrized curve is C2-continuous and interpolates a set of points of original curve. At each of the points, nearly arc-length parametrized curve is accurate. Finally, an example illustrate that the method is very efficient.This paper presents a method for nearly arc-length parameterization based on the rational cubic function. The arc-length function of parametric curve is monotonic increasing, the monotonity preserving rational cubic approximation for the arc-length function is derived. The resulting nearly arc-length parametrized curve is C2-contimious and interpolates a set of points of original curve. At each of the points, nearly arc-length parametrized curve is accurate. Finally, an example illustrate that the method is very efficient.

关 键 词：弧长参数化 参数曲线 C^2保单调插值 CAD 样条曲线 数值积分 

分 类 号：O241[理学—计算数学]