Fast quasi-harmonic weights for geometric data interpolation

Scattered data approximation of fully fuzzy data by quasi-interpolation

Fuzzy quasi-interpolations help to reduce the complexity of solving a linear system of equations compared with fuzzy interpolations. Almost all fuzzy quasi-interpolations are focused on the form of $widetilde{f}^{*}:mathbb{R}rightarrow F(mathbb{R})$ or $widetilde{f}^{*}:F(mathbb{R})rightarrow mathbb{R}$.  In this paper, we intend to offer a novel fuzzy radial basis function by the concept of so...

Using multiquadric quasi-interpolation for solving Kawahara equation

Fast least-squares solution for sinusoidal, harmonic and quasi-harmonic models

Sinusoidal model and its variants are commonly used in speech processing. In the literature, there are various methods for the estimation of the unknown parameters of sinusoidal model such as Fourier transform based on FFT algorithm and Least Squares (LS) method. Least Squares method is more accurate and actually optimum for Gaussian noise, thus, more appropriate for high-quality signal process...

Generalized Strang-Fix condition for scattered data quasi-interpolation

Quasi-interpolation is very useful in the study of the approximation theory and its applications, since the method can yield solutions directly and does not require solving any linear system of equations. However, quasi-interpolation is usually discussed only for gridded data in the literature. In this paper we shall introduce a generalized Strang-Fix condition, which is related to non-stationa...

A Geometric PDE for Interpolation of M-Channel Data

We propose a partial differential equation to be used for interpolating M -channel data, such as digital color images. This equation is derived via a semi-group from a variational regularization method for minimizing displacement errors. For actual image interpolation, the solution of the PDE is projected onto a space of functions satisfying interpolation constraints. A comparison of the test r...