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。
The degree reduction of generalized Ball curves of Wang-Bézier type is discussed byperturbation and the best uniform approximation respectively. The approximation error is given. Theexperimental results demonstrate that the effect of the best uniform approximation is better than thatof 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 ofWBGB curves enriches the theory system of generalized Ball curves effectively.
作者
王燕
李志明
Wang Yan;Li Zhiming(School of Mathematics and Statistics, Hefei Normal University, Hefei Anhui 230601, China;School of Computer and Information, Hefei University of Technology, Hefei Anhui 230009, China)
出处
《图学学报》
CSCD
北大核心
2016年第4期476-482,共7页
Journal of Graphics
基金
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)
关键词
WBGB曲线
扰动法
最佳一致逼近
WBGB curves
perturbation method
best uniform approximation
