De Casteljau's algorithm is an extrapolation method

verfasst von

C. Carstensen, G. Mühlbach, G. Schmidt

Abstract

One of the most important recursive schemes in CAGD is De Casteljau's algorithm for the evaluation of Bézier curves and surfaces. Within the theory of triangular recursive schemes we discuss the De Casteljau's algorithm as a particular case, i.e. we prove that it is identical to the E-algorithm (or GNA-algorithm) in a particular frame. This result is of theoretical interest since it leads to some classification of recurrence relations in CAGD. Furthermore, it may be regarded as a model example how to obtain known and possibly new recursive schemes in CAGD as examples of the theory of general extrapolation algorithms.

Organisationseinheit(en)

Institut für Angewandte Mathematik

Typ

Artikel

Journal

Computer aided geometric design

Band

12

Seiten

371-380

Anzahl der Seiten

10

ISSN

0167-8396

Publikationsdatum

06.1995

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Modellierung und Simulation, Fahrzeugbau, Luft- und Raumfahrttechnik, Computergrafik und computergestütztes Design

Elektronische Version(en)

https://doi.org/10.1016/0167-8396(94)00020-S (Zugang: Geschlossen)