b-spline


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b-spline

[′bē‚splīn]
(computer science)
A curve that is generated by a computer-graphics program, guided by a mathematical formula which ensures that it will be continuous with other such curves; it is mathematically more complex but easier to blend than a Bézier curve.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

b-spline

In computer graphics, a curve that is generated using a mathematical formula that assures continuity with other b-splines. See spline and NURB.
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References in periodicals archive ?
We use the linear combination of {[B.sub.k](x) | k = -p, ..., K - 1} and the unknown parameters [b.sub.k](k = -p, ..., K - 1) to approximate the regression function and consider the B-spline regression problem,
Using the local coordinate transformation (5) for the finite element [[x.sub.m],[x.sub.m+1]] quadratic B-spline shape functions can be defined as
By increasing or decreasing the order of B-splines, one can easily increase or decrease the order of the method.
We use B-spline basis functions for the solution of Burgers' equation (1)-(4).
2(a)) as the most natural and computationally cheapest method; and b-splines which demands more computing resources (Fig.
Our theoretical result is confirmed by several numerical experiments on parametric and deformed domains defined by Non-Uniform Rational B-Splines (NURBS) parametrizations, showing additionally a good performance of the biharmonic OAS preconditioner with respect to the spline polynomial degree, regularity, and domain deformation.
Shi, Computer Aided Geometric Design and Non-Uniform Rational B-Spline, Higher Education Press, 2001.
The rigid surface boundary element is derived within the framework of the B-spline BEM for fluids and follows an approach similar to the one developed by the author for treatment of rigid bodies interacting with soils and solids [24].
In this paper we demonstrated that robot trajectories can be similar to different splines (B-splines).
[16] proposed a new function named i-Spline while imposing some modifications to the B-Spline function.
Lai-Yuen, "From CT to NURBS: contour fitting with B-spline curves," ComputerAided Design and Applications, vol.