Declarative modelling and transformation of a constrained geometric object
by Mireille Moinet, Philippe Serre
International Journal of Product Development (IJPD), Vol. 13, No. 4, 2011

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.

Online publication date: Fri, 27-Feb-2015

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