Computation of 2D Fourier transforms and diffraction integrals using Gaussian radial basis functions
DOI10.1016/j.acha.2016.01.007zbMath1372.65358arXiv1506.01670OpenAlexW2962782135MaRDI QIDQ2402486
D. R. Iskander, Andrei Martínez-Finkelshtein, Darío Ramos-López
Publication date: 7 September 2017
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.01670
radial basis functionsdiffraction integrals2D Fourier transformextended Nijboer-Zernike theorythrough-focus characteristics of an optical system
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Numerical methods for trigonometric approximation and interpolation (65T40) Physical optics (78A10)
Uses Software
Cites Work
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- Nonlinear approximation of functions in two dimensions by sums of exponential functions
- Tikhonov regularization and the L-curve for large discrete ill-posed problems
- Error estimates and condition numbers for radial basis function interpolation
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- On choosing ``optimal shape parameters for RBF approximation
- Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
- Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
- Stable Evaluation of Gaussian Radial Basis Function Interpolants
- A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators
- A Fast Method for the Numerical Evaluation of Continuous Fourier and Laplace Transforms
- Radial Basis Functions
- Chaos control using least-squares support vector machines
- On the computation of the nijboer-zernike aberration integrals at arbitrary defocus
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