| 基于约束优化的有理Bezier曲线形状修改 |
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| 引用本文： | 蒋莉. 基于约束优化的有理Bezier曲线形状修改[J]. 衡阳师专学报, 2011, 0(6): 10-12 |
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| 作者姓名： | 蒋莉 |
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| 作者单位： | [1]中南大学数学科学与计算技术学院,湖南长沙410083 [2]湖南农业大学理学院,湖南长沙410128 |
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| 摘 要： | 研究了基于某种约束条件的有理Bezier曲线的形状修改，约束条件为曲线通过某个单点或多个点，或在端点处满足某种切矢条件。方法是修改控制点。目的是使得修改前后的曲线的控制点的改变量最小。给出了具体控制点的扰动的计算公式，且给出了具体实例。
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| 关 键 词： | 有理Bezier曲线 约束优化 形状修改 |
Shape Modification of Rational Bezier Curves by Constrained Optimization |
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| Affiliation: | J IANG Li (1. Department of Mathematics and Computional Science, Central South University, Changsha Hunan 410083, 2. Science College of Hunan Agricultural University, Changsha Hunan 410128, China) |
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| Abstract: | point or strained the new ：This paper investigates the optimal shape modification of rational Bezier curves by geometric constraints such as single multi-target points constraints or added end point/tangent constraint The method is presented in this paper by con- optimization based on changing the control points of the curves. Explicit formulae are derived to compute positions of control points of the modified curve. Practical examples are also given. |
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| Keywords: | rational Bezier curve constrained optimization shape modification |
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