Approximation by spline interpolating bases

Computing the Geodesic Interpolating Spline

We examine non-rigid image registration by knotpoint matching. We consider registering two images, each with a set of knotpoints marked, where one of the images is to be registered to the other by a nonlinear warp so that the knotpoints on the template image are exactly aligned with the corresponding knotpoints on the reference image. We explore two approaches for computing the registration by ...

Nonlinear n-term Approximation from Hierarchical Spline Bases

This article is a survey of some recent developments which concern two multilevel approximation schemes: (a) Nonlinear n-term approximation from piecewise polynomials generated by anisotropic dyadic partitions in R, and (b) Nonlinear n-term approximation from sequences of hierarchical spline bases generated by multilevel triangulations in R. A construction is given of sequences of bases consist...

Non-Homogeneous Spline Bases for Approximation on the Sphere

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

Numerical Chebyshev Approximation by Interpolating Rationals

The paper is concerned with the Chebyshev approximation of decay-type functions /(x) by interpolating rationals. The interpolating points are chosen to be the zeros of j(x). Existence, uniqueness and characterization of best approximations are first shown. An exchange algorithm is then described for computing the best approximation.