2 papers
math.NA2025
Sampling patterns for Zernike-like bases in non-standard geometries
Sergio Díaz-Elbal, Andrei Martínez-Finkelshtein, Darío Ramos-López
Zernike polynomials are widely used in optics and ophthalmology due to their direct connection to classical optical aberrations. While orthogonal on the unit disk, their applicatio…
math.NA2015
Computation of 2D Fourier transforms and diffraction integrals using Gaussian radial basis functions
A. Martinez-Finkelshtein, D. Ramos-Lopez, D. R. Iskander
We implement an efficient method of computation of two dimensional Fourier-type integrals based on approximation of the integrand by Gaussian radial basis functions, which constitu…