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authors Barsky, Brian A. and De Rose, Tony D.
year 1985
title The Beta2-spline : A Special Case of the Beta-spline Curve and Surface Representation
source IEEE Computer Graphics and Applications September, 1985. vol. 5: pp. 46-58 : ill. includes bibliography.
summary This article develops a special case of the Beta-spline curve and surface technique called the Beta2-spline. While a general Beta-spline has two parameters (B1 and B2) controlling its shape, the special case presented here has only the single parameter B2. 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 rendering of Beta2-spline curves and surfaces via subdivision are presented. This technique is proving to be quite useful in the modeling of complex shapes. The representation is sufficiently general and flexible so as to be capable of modeling irregular curved-surface objects such as automobile bodies, aircraft fuselages, ship hulls, turbine blades, and bottles
keywords B-splines, curved surfaces, computational geometry, representation, algorithms, computer graphics, rendering
series CADline
references Content-type: text/plain
last changed 2003/06/02 12:41
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