Constraint Modeling for Curves and Surfaces in CAGD: a Survey

Computer-Aided Geometric Design modelers are now based on powerful mathematical curve and surface models, but there is still a considerable need for efficient tools to handle, analyze and modify these objects. Designing product shapes using geometric operations on free-form curves and surfaces is still a tedious task. Moreover, designers would prefer to use meaningful tools to concentrate on design objectives expressed in terms of functionalities and constraints related to engineering topics and technical matters. This explains why constraint modeling in CAGD is an important challenge for the forthcoming years and the paper aims at setting up some of its foundations. The corresponding global modeling approaches already proposed in CAD are first exposed. The specific existing techniques for handling constraints on curves and surfaces are then surveyed. A synthesis of these techniques and our current studies allows us to suggest a classification of the different constraints which ou...

• Type: Journal
• Year: 2007
• Where: IJSM
• Authors: Vincent Cheutet, Marc Daniel, Stefanie Hahmann, Raphael La Greca, Jean-Claude Léon, Robert Maculet, David Ménegaux, Basile Sauvage
• Keywords: Corresponding Global Modeling, Geometric Design Modelers, IJSM 2007, Powerful Mathematical Curve