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Wang-Bézier 型广义Ball 曲线的降阶

  

  1. 1. 合肥师范学院数学与统计学院,安徽合肥 230601;2. 合肥工业大学计算机与信息学院,安徽合肥 230009
  • 出版日期:2016-08-31 发布日期:2016-08-09
  • 基金资助:
    国家自然科学基金项目(60773043,61070227);教育部科学技术研究重大项目(309017);合肥师范学院人才科研启动基金项目(2014rcjj05)

Degree Reduction of Wang-Bézier Generalized Ball Curves

  1. 1. School of Mathematics and Statistics, Hefei Normal University, Hefei Anhui 230601, China;
    2. School of Computer and Information, Hefei University of Technology, Hefei Anhui 230009, China
  • Online:2016-08-31 Published:2016-08-09

摘要: 分别应用扰动法和最佳一致逼近法,提出WBGB 曲线的降阶算法,并给出了误差
估计。实验结果表明,用最佳一致逼近法效果比扰动法要好。若利用扰动法得到的降阶曲线不
能达到预期的误差,则可以先利用细分算法对曲线做细分,再逐段用扰动法降阶。WBGB 曲线
的降阶算法丰富了广义Ball 曲线曲面的理论。

关键词: WBGB 曲线, 扰动法, 最佳一致逼近

Abstract: The degree reduction of generalized Ball curves of Wang-Bézier type is discussed by
perturbation and the best uniform approximation respectively. The approximation error is given. The
experimental results demonstrate that the effect of the best uniform approximation is better than that
of perturbation. If the error cannot be obtained in advance, the original curve can be subdivide firstly,
and then reduce the degree by using of perturbation part by part. The degree reduction method of
WBGB curves enriches the theory system of generalized Ball curves effectively.

Key words: WBGB curves, perturbation method, best uniform approximation