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

Authors:
Barsky, Brian A.
DeRose, Tony D.
Technical Report Identifier: CSD-83-152
November 1983
CSD-83-152.pdf

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.