图学学报
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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
王 燕 1, 李志明 2. Wang-Bézier 型广义Ball 曲线的降阶[J]. 图学学报, DOI: 10.11996/JG.j.2095-302X.2016040476.
Wang Yan1, Li Zhiming2. Degree Reduction of Wang-Bézier Generalized Ball Curves[J]. Journal of Graphics, DOI: 10.11996/JG.j.2095-302X.2016040476.
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http://www.txxb.com.cn/CN/Y2016/V37/I4/476