Approximating rational Bezier curve with polynomial curve using re-parameterization
The problem of approximating rational curves by polynomial curves is studied in this paper. A simple method of approximation, which uses the control points of the degree-elevated curve to approximate the original rational curve, is introduced at first Meanwhile as to achieve better efficiency, the idea of re-parameterization of rational Bezier curves is presented. The re-parameterization makes uniform the weights of the rational Bezier curve as accordant as possible, and then approximation can achieve better efficiency. In this way, one gets better approximating result with less error, and meanwhile the same approximating degree is preserved. The algorithm is easy to carry out and can be widely applied in areas such as numerical controlling manufacturing, design in robotics, computer graphics and so on.
computer aided geometric design rational Bezier curve approximation with polynomial curve weight Reparameterization
Cheng Min Wu Xuejun Pan Yongjuan
Department of Mathematics. Zheiiang University of Technology. Hangzhou 310023, China
国际会议
重庆
英文
858-861
2009-12-25（万方平台首次上网日期，不代表论文的发表时间）