Authors: Mireille Moinet, Philippe Serre
Addresses: LISMMA Supmeca Paris, 3 rue Fernand Hainaut, 93407 saint Ouen cedex, France. ' LISMMA Supmeca Paris, 3 rue Fernand Hainaut, 93407 saint Ouen cedex, France
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.
International Journal of Product Development, 2011 Vol.13 No.4, pp.344 - 361
Published online: 20 Aug 2011 *Full-text access for editors Access for subscribers Purchase this article Comment on this article