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Solving geometric constraint systems. II. A symbolic approach and decision of Rc-constructibility

โœ Scribed by Xiao-Shan Gao; Shang-Ching Chou


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
947 KB
Volume
30
Category
Article
ISSN
0010-4485

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โœฆ Synopsis


This paper reports a geometric constraint-solving approach based on symbolic computation. With this approach, we can compute robust numerical solutions for a set of equations and give complete methods of deciding whether the constraints are independent and whether a constraint system is over-constraint. Based on symbolic computation, we also have a decision procedure for the problem of deciding whether a constrained diagram can be constructed with ruler and compass (rc-constructibility).


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A constructive approach to calculate par
โœ Hilderick A. van der Meiden; Willem F. Bronsvoort ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 335 KB

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-err