Declarative modelling and transformation of a constrained geometric object

Mireille Moinet and Philippe Serre

International Journal of Product Development, 2011, vol. 13, issue 4, 344-361

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.

Keywords: geometric constraints; non-Cartesian geometry; tensorial models; perturbation; declarative modelling; vectors. (search for similar items in EconPapers)
Date: 2011
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