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A Quantum Approach to Geometric Constraint Satisfaction

  • Chapter
Object-Oriented Programming for Graphics

Part of the book series: Focus on Computer Graphics ((FOCUS COMPUTER))

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Abstract

This paper presents an incremental approach to geometric constraint satisfaction that is suitable for interactive design by categorizing solutions into so called quanta. A quantum is a range of solutions with uniform geometric characteristics. In this way, the constraint management system keeps the intermediate solutions in the geometric domain, so that new geometric constraints can be interpreted on the same high level of abstraction. This approach leads to a number of advantages: the system

  • •can handle (perhaps temporarily) under-constrained specifications,

  • •represents both alternative discrete solutions and continuous ranges of solutions,

  • •performs satisfaction locally and incrementally,

  • •supports constraint inference and geometric reasoning,

  • •preserves the declarative semantics of constraints.

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Authors
  1. Remco C. Veltkamp
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Editor information

Editors and Affiliations

  1. Morgan Stanley & Co, Inc., 1251 Avenue of the Americas, New York, NY, 10020, USA

    Chris Laffra

  2. Computer Science Department, University of Cape Town, Rondebosch, 7700, South Africa

    Edwin H. Blake

  3. Apple Computer, Inc., One Infinite Loop, MS: 301-4I, Cupertino, CA, 95014, USA

    Vicki de Mey

  4. Centre Universitaire d’Informatique, University of Geneva, 24, rue du General-Dufour, CH-1211, Geneva 4 Suisse, Switzerland

    Xavier Pintado

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© 1995 EUROGRAPHICS The European Association for Computer Graphics

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Veltkamp, R.C. (1995). A Quantum Approach to Geometric Constraint Satisfaction. In: Laffra, C., Blake, E.H., de Mey, V., Pintado, X. (eds) Object-Oriented Programming for Graphics. Focus on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79192-5_6

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  • DOI: https://doi.org/10.1007/978-3-642-79192-5_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79194-9

  • Online ISBN: 978-3-642-79192-5

  • eBook Packages: Springer Book Archive

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