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首页> 外文期刊>Computer Aided Geometric Design >Revisiting variable radius circles in constructive geometric constraint solving
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Revisiting variable radius circles in constructive geometric constraint solving

机译：在构造几何约束求解中重新探究变半径圆

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摘要

Variable-radius circles are common constructs in planar constraint solving and are usually not handled completely by algebraic constraint solvers.This work offers a set of basic constructive methods for the complete treatment of variable radius circles determined by the simultaneous placement of two other rigid geometric objects. The variable radius circle is defined by geometric constraints that determine both the circumference and the center point. There are two constraints between the variable radius circle and each of the rigid geometric objects. The problem has been classified into two groups according to whether the relative movement between the two rigid objects is a translation or a rotation. The number of solutions in each case is also given. (C) 2004 Published by Elsevier B.V.
机译：变半径圆是平面约束求解中的常见构造，通常不能由代数约束求解器完全处理。这项工作提供了一组基本的构造方法，用于完全处理由同时放置两个其他刚性几何对象确定的变半径圆。可变半径的圆由确定圆周和中心点的几何约束定义。可变半径圆和每个刚性几何对象之间有两个约束。根据两个刚性物体之间的相对运动是平移还是旋转，将问题分为两类。还给出了每种情况下的解决方案数量。 （C）2004由Elsevier B.V.发布

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