Smooth constraints for spline variational modeling

This article introduces a new class of constraints for spline variational modeling, which allows more flexible user specification, as a constrained point can ”slide” along a spline curve. Such constraints can, for example, be used to preserve correct parameterization of the spline curve. The spline surface case is also studied. Efficient numerical schemes are discussed for real-time solving, as well as interactive visualization during the energy minimization process. Examples are shown, and numerical results discussed. CR Categories: I.3.5 [COMPUTER GRAPHICS]: Computational Geometry and Object Modeling—Physically based modeling; I.3.5 [COMPUTER GRAPHICS]: Computational Geometry and Object Modeling—Splines; J.6 [COMPUTER-AIDED ENGINEERING]: Computer-aided design; I.6.5 [SIMULATION AND MODELING]: Model Development—Modeling methodologies; I.6.0 [SIMULATION AND MODELING]: Model Development—General

• Type: Conference
• Year: 2004
• Where: GRAPHITE
• Authors: Julien Lenoir, Laurent Grisoni, Philippe Meseure, Yannick Rémion, Christophe Chaillou
• Keywords: GRAPHITE 2004, Simulation And Modeling, Spline Curve, Spline Variational Modeling