Declarative modelling and transformation of a constrained geometric object. (1st January 2011)

• Record Type: Journal Article
• Authors: Moinet, Mireille; Serré, Philippe
• Is Part Of: International journal of product development. Volume 13:Number 4(2011)
• Page Start: 344
• Page End: 361
• Publication Date: 2011-01-01
• Subjects: geometric constraint -- non-Cartesian geometry -- tensorial model -- perturbation -- declarative modelling; New products -- Periodicals; Technological innovations -- Periodicals; Research, Industrial -- Periodicals; 658.57505
• DOI: 10.1504/IJPD.2011.042028
• Languages: English
• ISSNs: 1477-9056

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.