基于约束优化的有理Bezier曲线形状修改  

Shape Modification of Rational Bezier Curves by Constrained Optimization

作　　者：蒋莉[1,2] 

机构地区：[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

出　　处：《衡阳师范学院学报》2011年第6期10-12,共3页Journal of Hengyang Normal University

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。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.

关 键 词：有理BEZIER曲线 约束优化 形状修改 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]