A new de(nition of a symmetric fractional B-spline is presented. This generalises the usual integer order B-spline, that becomes a special case of the new one. ? 2003 Elsevier B.V. All rights reserved.

In this paper, we propose basic and improved algorithms based on polynomial B-spline form for constrained global optimization of multivariate functions. The proposed are a branch-and-bound framework. algorithm introduce several new ingredients, such as box consistency hull to prune the search regions make more efficient. performance is tested compared set test problems. results tests show super...

This paper explores numerical solutions of optimal control problems using B–Spline curves. It is aimed to give a general framework on how to use B–Splines to formulate optimal control problems and to solve them numerically using Nonlinear Trajectory Generation software package. Effects of the selection of the B–Spline parameters, such as, number of intervals, smoothness, piecewise polynomial or...

The use of polynomial functions to describe the average growth trajectory and covariance functions of Nellore and MA (21/32 Charolais+11/32 Nellore) young bulls in performance tests was studied. The average growth trajectories and additive genetic and permanent environmental covariance functions were fit with Legendre (linear through quintic) and quadratic B-spline (with two to four intervals) ...

A method to generate a quintic B-spline curve which passes through the given points is described. In this case, there are four more equations than there are control point positions. Therefore, four gradients which are the first derivative of a quintic B-spline equation are assigned to the given points. In addition to this method, another method to generate a quintic B-spline curve which passes ...

Non-linear Fisher’s equations are solved by using a spline method based on B-spline in the space direction and finite difference schema in the time direction. Numerical results reveal that spline method based on Bspline is implemented and effective.

A new algorithm for Computer Aided Geometric Design of least squares (LS) splines with variable knots, named GeDS, is presented. It is based on interpreting functional spline regression as a parametric B-spline curve, and on using the shape preserving property of its control polygon. The GeDS algorithm includes two major stages. For the first stage, an automatic adaptive, knot location algorith...

B-patches are the analogue to B-spline segments for triangular surfaces and are the main building block in the new multivariate B-spline surfaces recently developed in [8). This paper discusses algorithms for B-patches and presents algorithms for computing the polar form, for evaluation, for differentiation, for computing continuous joints, and for knot insertion .

In spectrometric problems, objects are characterized by highresolution spectra that correspond to hundreds to thousands of variables. In this context, even fast variable selection methods lead to high computational load. However, spectra are generally smooth and can therefore be accurately approximated by splines. In this paper, we propose to use a B-spline expansion as a pre-processing step be...