The DE-Sinc formulas, resulting from a combination of the Sine approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In ...

Calculate the sinc function: sin(r)/r. Use a Cartesian x,y grid and calculate ``r = sqrt(x**2+y**2)`` with 0 in the center of the grid. Calculate the function for -15,15 for both x and y.

Abstract: We present a geometric framework for explicit derivation of multivariate sampling functions (sinc) on multidimensional lattices. The approach leads to a generalization of the link between ...

A windowed sinc function can implement a low-pass filter, and a two-dimensional convolutional filter can blur or sharpen images. In part 3 of this series, we introduced a low-pass filter based on the ...

Abstract: In this paper, we propose a fast and accurate numerical method based on Fourier transforms to solve Kolmogorov forward equations of symmetric scalar Lévy processes. The method is based on ...