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A constructive approach to calculate parameter ranges for systems of geometric constraints

✍ Scribed by Hilderick A. van der Meiden; Willem F. Bronsvoort

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
335 KB
Volume
38
Category
Article
ISSN
0010-4485

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✦ Synopsis

Geometric constraints are at the heart of parametric and feature-based CAD systems. Changing values of geometric constraint parameters is one of the most common operations in such systems. However, because allowable parameter values are not known to the user beforehand, this is often a trial-and-error process. We present an approach for automatically determining the allowable range for parameters of geometric constraints. Considered are systems of distance and angle constraints on points in 3D that can be decomposed into triangular and tetrahedral subproblems, by which most practical situations in parametric and feature-based CAD systems can be represented. Our method uses the decomposition to find critical parameter values for which subproblems degenerate. By solving one problem instance for each interval between two subsequent critical values, the exact parameter range is determined for which a solution exists.

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