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
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.
Tipologia del documento
Documento relativo ad un convegno o altro evento
(Presentazione)
Autori
Parole chiave
Matrix reperesentation; Direct transformations; Non-uniform B-spline basis functions; Explicit multi-Bezier form; Clamping and unclamping techniques; Merging spline procedures.
Settori scientifico-disciplinari
DOI
Data di deposito
14 Ott 2004
Ultima modifica
16 Mag 2011 11:37
URI
Altri metadati
Tipologia del documento
Documento relativo ad un convegno o altro evento
(Presentazione)
Autori
Parole chiave
Matrix reperesentation; Direct transformations; Non-uniform B-spline basis functions; Explicit multi-Bezier form; Clamping and unclamping techniques; Merging spline procedures.
Settori scientifico-disciplinari
DOI
Data di deposito
14 Ott 2004
Ultima modifica
16 Mag 2011 11:37
URI
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