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Title:
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Geometric constraint graphs decomposition based on computing graph circuits
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Author:
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Joan Arinyo, Robert; Tarres Puertas, Marta Isabel; Vila Marta, Sebastià
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Ciències de la Computació; Universitat Politècnica de Catalunya. Departament de Disseny i Programació de Sistemes Electrònics; Universitat Politècnica de Catalunya. GIE - Grup d'Informàtica a l'Enginyeria; Universitat Politècnica de Catalunya. CIRCUIT - Grup de Recerca en Circuits i Sistemes de Comunicació |
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Abstract:
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Geometric constraint solving is a growing field which plays a paramount role in industrial applications and that is deeply rooted in automated deduction in geometry. In this work we report on an algorithm to solve geometric
constraint-based problems by decomposing biconnected graphs. The algorithm is based on recursively splitting the graph through sets with three vertices located on fundamental circuits of the graph. Preliminary practical experiments suggest that the algorithm runtime is at worst quadratic with the total number of vertices in the graph. |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
-Computational geometry
-Computer-aided design
-Computational geometry
-Object modeling
-Geometria computacional
-Disseny assistit per ordinador |
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Rights:
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Document type:
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Article - Published version
Book Part |
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Published by:
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Copicentro
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