Grids and transforms for band-limited functions in a disk

DOI10.1088/0266-5611/23/5/015zbMath1137.65074OpenAlexW2018923838MaRDI QIDQ5424721

Christopher Kurcz, Lucas Monzón, Gregory Beylkin

Publication date: 6 November 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9d532275f75e58c9f3c697cfc6536b50d00df4f1

zbMATH Keywords

numerical examplesfast Fourier transformsynthetic aperture radarinverse scatteringdiffraction tomographyfast inversion algorithmunequally spaced FFT\(x\)-ray tomographyband-limited function in a diskgrids for a diskiterative inversion methodssquare to disk discrete Fourier transform

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier series and coefficients in several variables (42B05)

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Approximation scheme for essentially bandlimited and space-concentrated functions on a disk ⋮ Rhodonea curves as sampling trajectories for spectral interpolation on the unit disk ⋮ Approximation by exponential sums revisited ⋮ A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids ⋮ Fast convolution with the free space Helmholtz Green's function ⋮ Ball prolate spheroidal wave functions in arbitrary dimensions ⋮ The Steerable Graph Laplacian and its Application to Filtering Image Datasets ⋮ Fast and accurate propagation of coherent light

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