Algorithms for detecting dependencies and rigid subsystems for CAD
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Automated approaches for detecting dependencies in structures created with Computer Aided Design software are critical for developing robust solvers and providing informative user feedback. We model a set of geometric constraints with a bi-colored multigraph and give a graph-based pebble game algorithm that allows us to determine combinatorially if there are generic dependencies. We further use the pebble game to yield a decomposition of the graph into factor graphs which may be used to give a user detailed feedback about dependent substructures in a specific realization of a system of CAD constraints with non-generic properties.
Farre , J , Kleinschmidt , H , Sidman , J , John , A S , Stark , S , Theran , L & Yu , X 2016 , ' Algorithms for detecting dependencies and rigid subsystems for CAD ' Computer Aided Geometric Design , vol 47 , pp. 130-149 . DOI: 10.1016/j.cagd.2016.06.001
Computer Aided Geometric Design
© 2016, Elsevier. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.sciencedirect.com / https://dx.doi.org/10.1016/j.cagd.2016.06.001
Louis Theran is partially supported by the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007–2013)/ERC grant agreement No. 247029-SDModels, Academy of Finland (AKA) project COALESCE, and the Hutchcroft fund.
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