Brian A. Barsky and Anthony D. DeRose

EECS Department, University of California, Berkeley

Technical Report No. UCB/CSD-83-152

, 1983

http://www2.eecs.berkeley.edu/Pubs/TechRpts/1983/CSD-83-152.pdf

This paper develops a special case of the Beta-spline curve and surface technique called the Beta2-spline. While a general Beta-spline has two parameters (Beta1 and Beta2) controlling its shape, the special case presented here has only the single parameter Beta2. Experience has shown this to be a simple, but very useful special case that is computationally more efficient than the general case. Optimized algorithms for the evaluation of the Beta2-spline basis functions and subdivision of Beta2-spline curves and surfaces are presented.

---

BibTeX citation:

@techreport{Barsky:CSD-83-152,
    Author= {Barsky, Brian A. and DeRose, Anthony D.},
    Title= {The Beta2-spline: A Special Case of the Beta-spline Curve and Surface Representation},
    Year= {1983},
    Month= {Nov},
    Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/1983/5694.html},
    Number= {UCB/CSD-83-152},
    Abstract= {This paper develops a special case of the Beta-spline curve and surface technique called the Beta2-spline. While a general Beta-spline has two parameters (Beta1 and Beta2) controlling its shape, the special case presented here has only the single parameter Beta2. Experience has shown this to be a simple, but very useful special case that is computationally more efficient than the general case. Optimized algorithms for the evaluation of the Beta2-spline basis functions and subdivision of Beta2-spline curves and surfaces are presented.},
}

EndNote citation:

%0 Report
%A Barsky, Brian A. 
%A DeRose, Anthony D. 
%T The Beta2-spline: A Special Case of the Beta-spline Curve and Surface Representation
%I EECS Department, University of California, Berkeley
%D 1983
%@ UCB/CSD-83-152
%U http://www2.eecs.berkeley.edu/Pubs/TechRpts/1983/5694.html
%F Barsky:CSD-83-152