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Geometric constraint solving for parametric conics

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3 Author(s)
Bi Chen ; Al Inst., Zhejiang Univ., China ; Min Tang ; Jinxiang Dong

Geometric constraint solving is a rapidly developing field, with applications in areas such as kinematics, molecular modeling, surveying, and geometric theorem proving. This paper has incorporated conic arcs into a geometric constraint solver and describes how to construct conic blending arcs from constraints using a rational parametric representation - rational quadratic Bezier which combines the separate cases of blending edges. There are some possible constraints: traverse a fixed point, or tangency to or distance from a line. Here a uniform rational Bezier representation has been developed first, then the paper presents two methods to solve tangency to or distance from a line.

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Computer Supported Cooperative Work in Design, 2002. The 7th International Conference on

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