General matrix representations for Bezier and B-spline curves

General matrix representations for Bezier and B-spline curves

The matrix representation for a Bezier curve or arbitrary degree is given as well as the analogous representation for the uniform B-spline of arbitrary degree. Special matrices for calculating the uniform open B-spline curve are derived. This form is convenient to implement in hardware or software,...

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Veröffentlicht in:Computers in industry 1982-03, Vol.3 (1), p.9-15
Hauptverfasser: Cohen, Elaine, Riesenfeld, Richard F.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
analogous representation
Bezier curve
Computer science
Curve
Mathematical analysis
Mathematics
Matrix
matrix representation
open B-spline curve
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Zusammenfassung:The matrix representation for a Bezier curve or arbitrary degree is given as well as the analogous representation for the uniform B-spline of arbitrary degree. Special matrices for calculating the uniform open B-spline curve are derived. This form is convenient to implement in hardware or software, particularly if a matrix facility is present.
ISSN:0166-3615
1872-6194
DOI:10.1016/0166-3615(82)90027-6