# 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