Fairing of 2D B-splines under design constraints

K.G. Pigounakis; P.D. Kaklis

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Fairing of 2D B-splines under design constraints

机译：设计约束下的二维B样条曲线的修整

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The paper proposes a method for fairing planar B-splines under design conditions that frequently occur in the CAD practice, namely end, tolerance, area, moments-of-area and local-convexity conditions. The formulation of the problem is classified in non-linear constrained minimization. The control vertices of the curve to be faired are the free variables of the problems, which is numerically solved with the aid of the Sequential-Quadratic-programming technique. The performance of the implemented algorithm is tested and discussed in the context of a ship-design example.

机译：本文提出了一种在CAD实践中经常发生的设计条件下对平面B样条进行光顺的方法，即端部，公差，面积，区域矩和局部凸度条件。问题的提法归类于非线性约束最小化。要修整的曲线的控制顶点是问题的自由变量，借助于顺序二次编程技术可以用数值方法解决这些问题。在船舶设计示例的上下文中测试并讨论了所实现算法的性能。

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《Mathematical Engineering in Industry》 |1999年第2期|p.165-178|共14页
作者
K.G. Pigounakis; P.D. Kaklis;
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正文语种 eng
中图分类工程基础科学;
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Fairing of 2D B-splines under design constraints

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