Interpolating m-refinable functions with compact support: The second generation class

Interpolating Filters with Prescribed Zeros and Their Refinable Functions

In this paper, we study the minimally supported interpolating filters with prescribed zeros and their corresponding refinable functions.

Interpolating Refinable Functions and Wavelets for General Scaling Matrices

A new class of radial basis functions with compact support

Radial basis functions are well-known and successful tools for the interpolation of data in many dimensions. Several radial basis functions of compact support that give rise to nonsingular interpolation problems have been proposed, and in this paper we study a new, larger class of smooth radial functions of compact support which contains other compactly supported ones that were proposed earlier...

Generalized interpolating refinable function vectors

Interpolating scalar refinable functions with compact support are of interest in several applications such as sampling theory, signal processing, computer graphics, and numerical algorithms. In this paper, we shall generalize the notion of interpolating scalar refinable functions to compactly supported interpolating d-refinable function vectors with any multiplicity r and dilation factor d. Mor...

Interpolating Functions Associated with Second - Order Differential Equations

Functions are exhibited which interpolate the magnitude of a solution y of a linear, homogeneous, second-order differential equation at its critical points, \y'\ at the zeros of y, and \fi0y(t)Kt) àt\ at the zeros of y. Except for a normalization condition, the interpolating functions are independent of the specific solution v. A theorem similar in its conclusions to the Sonin-Pólya-Butlewski t...