In this paper the dimensions of bivariate spline spaces with simple cross-cut grid partitions are determined and expressions of their basis functions are given. Consequently, the closures of these spaces over all partitions of the same type can be determined. A somewhat more detailed study on bivariate splines with rectangular grid partitions is included. The results in this paper can be applie...

In this paper, we suppose that a density of probability f is expressed as a finite linear combination of second order B-spline functions. Then, we obtain a finite mixture of B-spline. We extend the Expectation Maximization (EM) algorithm in order to estimate the new mixture density. The experiments show that the proposed estimator using B-spline functions can produce a satisfactory estimation o...

We study the problem of computing a planar curve, restricted to lie between two given polygonal chains, such that the integral of the square of arc-length derivative of curvature along the curve is minimized. We introduce the Minimum Variation B-spline problem which is a linearly constrained optimization problem over curves defined by Bspline functions only. An empirical investigation indicates...