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A blossoming approach to accuracy of the degree elevation process |
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| Authors: | J -C Fiorot P Jeannin |
| Institution: | (1) Laboratoire LIMAV, Université de Valenciennes et du Hainaut Cambrésis, ENSIMEV, B.P. 311, F-59304 Valenciennes Cedex, France;(2) Centre Universitaire de la Mi-Voix, Bâtiment H. Poincaré, Université du Littoral, 50 Rue F. Buisson, F-62100 Calais, France |
| Abstract: | It is known that the sequence of control polygons of a Bézier-De Casteljau curve or surface obtained by the  degree elevation process converges towards the underlying curve and surface. The notion of blossoming or polar form associated with a polynomial allows to control the accuracy of this convergence and, as a by-product, to give a new and completer proof of convergence. |
| Keywords: | polar form blossom Bé zier-De Casteljau curve patch control polygons |
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