A generalized conversion matrix between non-uniform B-spline and Bezier representations with applications in CAGD

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.

Abstract
Document type
Conference or Workshop Item (Presentation)
Creators
CreatorsAffiliationORCID
Casciola, G.
Romani, L.
Keywords
Matrix reperesentation; Direct transformations; Non-uniform B-spline basis functions; Explicit multi-Bezier form; Clamping and unclamping techniques; Merging spline procedures.
Subjects
DOI
Deposit date
14 Oct 2004
Last modified
16 May 2011 11:37
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