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| Titre: | Algorithmique pour la conversion par approximation de courbes de Bézier degré élevé : le modèle de rationnelle |
| Auteur(s): | Asma, Farid
Belaidi, Idir
Mohammedi, Kamal
Ischiomin, Guy
Challali, Mohand Oulhadj |
| Mots-clés: | Rational Bezier curves
Approximate conversion
Degree reaising
Subdivision
Geometric continuity |
| Date de publication: | 2004 |
| Collection/Numéro: | CIMA04/ UMBB 30 Nov 02 Dec 2004;pp. 1-7 |
| Résumé: | 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 |
| URI/URL: | http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/3060 |
| Collection(s) : | Communications Internationales
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