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