Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

The Beta2-spline: A Special Case of the Beta-spline Curve and Surface Representation

Brian A. Barsky and Anthony D. DeRose

EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-83-152
November 1983

http://www.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},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {1983},
    Month = {Nov},
    URL = {http://www.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://www.eecs.berkeley.edu/Pubs/TechRpts/1983/5694.html
%F Barsky:CSD-83-152