Interpolating with outer functions

Symmetric Interpolating Scaling Functions

In many applications, wavelets are usually expected to have the following properties: compact support, orthogonality, linear-phase, regularity, and interpolation. To construct such wavelets, it is crucial designing scaling functions with the above properties. In twoand three-band cases, except for the Haar functions, there exists no scaling function with the above five properties. In -band case...

gH-differentiable of the 2th-order functions interpolating

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...

Interpolating Head Related Transfer Functions

This paper describes the interpolation of head related transfer functions (HRTFs) for all directions. The interpolation of HRTFs enables us to reduce the number of measurements for new user’s HRTFs, and also reduce the data of HRTFs in auditory virtual systems. A linear interpolation and the spline interpolation are evaluated and the advantages of both methods are clarified. The interpolation m...

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...

An Interpolating Decision Procedure for Transitive Relations with Uninterpreted Functions