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Constraint based parametric conics for CAD
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DOI：10.1016/0010-4485(95)00037-2.png)
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We describe how to construct conic blending arcs from constraints, using a unified rational parametric representation that combines the separate cases of blending parallel and non-parallel edges. The possible constraints are that the are must have a given distance from a line, a point, or a circle, or else intersect a circle or a line at a prescribed angle. Our representation is easily converted into a rational B-spline with positive weights, and is therefore compatible with internal representations used by most solid modeling systems. Finally, we discuss how we integrated this work with an algebraic constraint solver.
Keyword:
conics for computer-aided design
geometric constraint solving
rational B-splines
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3.1
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