Brian A. Barsky

EECS Department, University of California, Berkeley

Technical Report No. UCB/CSD-83-118

, 1983

http://www2.eecs.berkeley.edu/Pubs/TechRpts/1983/CSD-83-118.pdf

This paper explains the parametric uniform B-spline curve and surface representations. The parametric representation is discussed, the properties of the B-spline representation are described, and a detailed derivation of the B-spline basis functions is presented. Various end conditions and boundary conditions are described in order to enable the B-spline user to select which of the many options would be appropriate for a particular application. Efficient algorithms are designed and analyzed for B-spline basis function evaluation, and for the evaluation and perturbation of both B-spline curves and surfaces. Finally, difference techniques to accomplish this are also developed.

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BibTeX citation:

@techreport{Barsky:CSD-83-118,
    Author= {Barsky, Brian A.},
    Title= {A Study of the Parametric Uniform B-spline Curve and Surface Representations},
    Year= {1983},
    Month= {May},
    Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/1983/5671.html},
    Number= {UCB/CSD-83-118},
    Abstract= {This paper explains the parametric uniform B-spline curve and surface representations. The parametric representation is discussed, the properties of the B-spline representation are described, and a detailed derivation of the B-spline basis functions is presented. Various end conditions and boundary conditions are described in order to enable the B-spline user to select which of the many options would be appropriate for a particular application. Efficient algorithms are designed and analyzed for B-spline basis function evaluation, and for the evaluation and perturbation of both B-spline curves and surfaces. Finally, difference techniques to accomplish this are also developed.},
}

EndNote citation:

%0 Report
%A Barsky, Brian A. 
%T A Study of the Parametric Uniform B-spline Curve and Surface Representations
%I EECS Department, University of California, Berkeley
%D 1983
%@ UCB/CSD-83-118
%U http://www2.eecs.berkeley.edu/Pubs/TechRpts/1983/5671.html
%F Barsky:CSD-83-118