Local Control of Bias and Tension in Beta-splines
ACM Transactions on Graphics (TOG)
Local control of bias and tension in beta-splines
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
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This paper explains the parametric uniform B-spline curve and surface representations. The parametric representation is discussed, the properties of the B-spline basis functions is presented. Various end conditions and boundary conditions are described in order to enable the B-spline user to select which of the many options would be appropriate for a particular application. Efficient algorithms are designed and analyzed for B-spline basis function evaluation, and for the evaluation and perturbation of both B-spline curves and surfaces. Finally, difference techniques to accomplish this are also developed.