Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

A Study of the Parametric Uniform B-spline Curve and Surface Representations

Brian A. Barsky

EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-83-118
May 1983

http://www.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.


BibTeX citation:

@techreport{Barsky:CSD-83-118,
    Author = {Barsky, Brian A.},
    Title = {A Study of the Parametric Uniform B-spline Curve and Surface Representations},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {1983},
    Month = {May},
    URL = {http://www.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://www.eecs.berkeley.edu/Pubs/TechRpts/1983/5671.html
%F Barsky:CSD-83-118