Algorithmique pour la conversion par approximation de courbes de Bézier degré élevé : le modèle de rationnelle

Abstract

Potential CADCAM applications of approximate conversion of degree élévated curves and surfaces may be numerous, but this requier the improved algorithms. To this effect, we introduce in this paper developpements of efficients algorithms to convert degree elevated Bézier rational curves, which caracterised by a minimal approximation error, reduced time of calculations and restricted number of spline curves. Besides, they offer a suitable flexibility by model transformations, without sophisticated calculations. The inverse algorithm for degree elevation of Bezier curves and the minimisation of the square norm in the Benstein polynomials basis are used for the degree reduction process, which is resolved by variable separation strategy in order to evoid the use of nonlinear methodes