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A Geometric Relaxation Solver for Constraint-Based Models

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CAD Tools and Algorithms for Product Design

Abstract

A new geometric relaxation algorithm for solving geometric constraint-based 2D models is proposed. Different geometric relaxation strategies and a new algorithm based on an iterative global deformation of the system is presented and discussed, and it is shown that it avoids local minima. The performance of hybrid algorithms involving global deformation and individual constraint relaxation is also discussed on several practical cases. The presented solver can easily be extended for 3D point location as is also show on practical cases.

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Authors and Affiliations

  1. Departament de Llenguatges i Sistemes Informàtics Secció d’Informàtica Gràfica, Universitat Politècnica de Catalunya, Av. Diagonal 647 planta 8 (ETSEIB), 08029, Barcelona, Spain

    Lluis Solano Albajes & Pere Brunet Crosa

Authors
  1. Lluis Solano Albajes
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  2. Pere Brunet Crosa
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Editors and Affiliations

  1. Dep. de Llenguatges i Sistemes Informàtics, Universitat Polittècnica de Catalunya, Av. Diagonal 647, 8a, 08028, Barcelona, Spain

    Pere Brunet

  2. Computer Science Department, Purdue University, 47907-1398, West Lafayette, USA

    Christoph M. Hoffmann

  3. Institut für Informatik, Universität Stuttgart, Breitwiesenstr. 20-22, 70565, Stuttgart, Germany

    Dieter Roller

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© 2000 Springer-Verlag Berlin Heidelberg

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Albajes, L.S., Crosa, P.B. (2000). A Geometric Relaxation Solver for Constraint-Based Models. In: Brunet, P., Hoffmann, C.M., Roller, D. (eds) CAD Tools and Algorithms for Product Design. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04123-9_17

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  • DOI: https://doi.org/10.1007/978-3-662-04123-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08548-2

  • Online ISBN: 978-3-662-04123-9

  • eBook Packages: Springer Book Archive

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