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.
出处
《数值计算与计算机应用》
CSCD
北大核心
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
