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BETA-SPLINE [1 record]
Record 1 - internal organization data 1993-07-31
Record 1, English
Record 1, Subject field(s)
- Computer Graphics
Record 1, Main entry term, English
- ß-spline
1, record 1, English, %C3%9F%2Dspline
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- bspline 2, record 1, English, bspline
- beta-spline 3, record 1, English, beta%2Dspline
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
A curve or curved surface constructed on a graphics system using a series of minute lines determined by geometric function calculations. 1, record 1, English, - %C3%9F%2Dspline
Record number: 1, Textual support number: 1 OBS
See spline, Bézier curve. 2, record 1, English, - %C3%9F%2Dspline
Record 1, French
Record 1, Domaine(s)
- Infographie
Record 1, Main entry term, French
- ß-spline
1, record 1, French, %C3%9F%2Dspline
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- bspline 2, record 1, French, bspline
feminine noun
- bêta-spline 3, record 1, French, b%C3%AAta%2Dspline
correct, feminine noun
Record 1, Textual support, French
Record number: 1, Textual support number: 1 CONT
Une fonction spline peut être considérée comme une forme généralisée de polynôme admettant un certain nombre de points à dérivées discontinues [...]. Nous étudierons ici une base particulière appelée base de ß- spline car elle est une extension des polynômes de Bernstein. 1, record 1, French, - %C3%9F%2Dspline
Record number: 1, Textual support number: 2 CONT
L'utilisation des ß-spline a d'énormes avantages par rapport à la méthode de Bézier : d'abord un algorithme très simple permet de générer les courbes ouvertes ou fermées; on peut contrôler la forme de la courbe grâce au polygone de définition plus efficacement qu'avec l'approximation de Bézier; la méthode étant locale les temps de calcul dépendent uniquement du degré de la courbe (en général très bas, 3 ou 4, par opposition à Bézier, pouvant aller jusqu'à la centaine); enfin propriétés géométriques beaucoup plus intéressantes (contrôle des points de rebroussement, possibilité de dessiner des droites, etc. ...). 1, record 1, French, - %C3%9F%2Dspline
Record 1, Spanish
Record 1, Textual support, Spanish
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