Casciola, G. ; Romani, L. (2004) A generalized conversion matrix between non-uniform B-spline and Bezier representations with applications in CAGD. In: Multivariate Approximation: Theory and Applications, 24-29 aprile 2003, Cancun, Mexico.
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Abstract
This paper presents the recursive computations of the generalized conversion matrices which allow direct transformations between non-uniform B-spline and Bezier representations of arbitrary degrees, defined over a completely arbitrary interval of the real axis. Although the very general setting assumed, the prposed algorithm turns out to be very easy and practical, and provides interesting applications in computer aided geometric design.
| Document type: | Conference or Workshop Item (Presentazione) |
|---|---|
| Uncontrolled Keywords: | Matrix reperesentation; Direct transformations; Non-uniform B-spline basis functions; Explicit multi-Bezier form; Clamping and unclamping techniques; Merging spline procedures. |
| Subjects: | Area 01 - Scienze matematiche e informatiche > MAT/08 Analisi numerica Area 01 - Scienze matematiche e informatiche > MAT/03 Geometria Area 01 - Scienze matematiche e informatiche > INF/01 Informatica |
| Depositato da: | Giulio Casciola |
| Depositato il: | 14 Oct 2004 |
| Last modified: | 16 May 2011 13:37 |
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