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Declarative modelling and transformation of a constrained geometric object

Author

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  • Mireille Moinet
  • Philippe Serre

Abstract

To establish the specifications and to solve 2D and 3D geometric problems defined by geometric constraints, we have developed a declarative model where objects and constraints are represented by a set of vectors. These vectors are not represented by their usual Cartesian coordinates but by their respective scalar products. Then, a metric tensor characterises the geometric object. To solve the problem, we have developed a model that transforms the object from its initial state to its final state.

Suggested Citation

  • Mireille Moinet & Philippe Serre, 2011. "Declarative modelling and transformation of a constrained geometric object," International Journal of Product Development, Inderscience Enterprises Ltd, vol. 13(4), pages 344-361.
    • Handle: RePEc:ids:ijpdev:v:13:y:2011:i:4:p:344-361
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