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Discrete Two-Dimensional Fourier Transform in Polar Coordinates Part I: Theory and Operational Rules

https://doi.org/10.3390/math7080698
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.20064openalex-snapshot
How well does the finite Fourier transform approximate the Fourier transform?
inferredcites →https://doi.org/10.1006/acha.1995.1007openalex-snapshot
Fast Fourier Transforms for Nonequispaced Data, II
inferredcites →https://doi.org/10.1006/dspr.1993.1016openalex-snapshot
Signal Processing via Fourier-Bessel Series Expansion
inferredcites →https://doi.org/10.1007/978-1-4612-0143-4_12openalex-snapshot
Fast Fourier Transforms for Nonequispaced Data: A Tutorial
inferredcites →https://doi.org/10.1007/978-3-030-04306-3_7openalex-snapshot
Fast Fourier Transforms for Nonequispaced Data
inferredcites →https://doi.org/10.1007/bf02829619openalex-snapshot
On a generalized Hankel type convolution of generalized functions
inferredcites →https://doi.org/10.1007/s00041-003-0021-1openalex-snapshot
Non-Equispaced Fast Fourier Transforms with Applications to Tomography
inferredcites →https://doi.org/10.1016/0010-4655(87)90204-9openalex-snapshot
An improved method for computing a discrete Hankel transform
inferredcites →https://doi.org/10.1016/b978-0-12-385861-0.00001-4openalex-snapshot
Two-Dimensional Fourier Transforms in Polar Coordinates
inferredcites →https://doi.org/10.1016/c2013-0-10310-8openalex-snapshot
Mathematical Methods for Physicists
inferredcites →https://doi.org/10.1016/j.acha.2005.11.003openalex-snapshot
Fast and accurate Polar Fourier transform
inferredcites →https://doi.org/10.1016/j.acha.2006.05.009openalex-snapshot
On the computation of the polar FFT
inferredcites →https://doi.org/10.1016/s0022-247x(02)00350-5openalex-snapshot
Hankel convolution operators on entire functions and distributions
inferredcites →https://doi.org/10.1109/tsp.2002.807005openalex-snapshot
Nonuniform fast fourier transforms using min-max interpolation
inferredcites →https://doi.org/10.1109/tsp.2016.2645510openalex-snapshot
An Exact and Fast Computation of Discrete Fourier Transform for Polar and Spherical Grid
inferredcites →https://doi.org/10.1137/0516097openalex-snapshot
A Generalised Hankel Convolution
inferredcites →https://doi.org/10.1137/0914081openalex-snapshot
Fast Fourier Transforms for Nonequispaced Data
inferredcites →https://doi.org/10.1186/2193-1801-3-246openalex-snapshot
Application of the generalized shift operator to the Hankel transform
inferredcites →https://doi.org/10.1364/josaa.26.001767openalex-snapshot
Operational and convolution properties of two-dimensional Fourier transforms in polar coordinates
inferredcites →https://doi.org/10.1364/josaa.27.002144openalex-snapshot
Operational and convolution properties of three-dimensional Fourier transforms in spherical polar coordinates
inferredcites →https://doi.org/10.1364/josaa.32.000611openalex-snapshot
Theory and operational rules for the discrete Hankel transform
inferredcites →https://doi.org/10.2307/2300274openalex-snapshot
A Treatise on the Theory of Bessel Functions.
inferredcites →https://doi.org/10.5334/jors.82openalex-snapshot
Matlab Code for the Discrete Hankel Transform

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1016/j.ijleo.2021.167240openalex-snapshot
Azimuthal jittered sampling of bandlimited functions in the two-dimensional Fourier transform and the Hankel transform domains
inferred← citeshttps://doi.org/10.1016/j.saa.2023.122646openalex-snapshot
Impact of different classification schemes on discrimination of proteins with noise-contaminated spectra using laboratory-measured fluorescence data
inferred← citeshttps://doi.org/10.1098/rspa.2024.0016openalex-snapshot
The Elbert range of magnetostrophic convection. II. Comparing linear theory to nonlinear low- Rm simulations
inferred← citeshttps://doi.org/10.1109/lra.2025.3564208openalex-snapshot
Stochastic Trajectory Optimization for Robotic Skill Acquisition From a Suboptimal Demonstration
inferred← citeshttps://doi.org/10.1117/1.oe.64.3.033102openalex-snapshot
Spiral Fourier transformation in optics and image processing
inferred← citeshttps://doi.org/10.3390/e24040484openalex-snapshot
Implications and Consequences of SL(2R) as Invariance Group in the Description of Complex Systems Dynamics from a Multifractal Perspective of Motion
inferred← citeshttps://doi.org/10.3390/math8010107openalex-snapshot
Advanced Mathematical Methods: Theory and Applications
inferred← citeshttps://doi.org/10.3390/photonics8100439openalex-snapshot
Full-Vectorial Fiber Mode Solver Based on a Discrete Hankel Transform
inferred← citeshttps://doi.org/10.3390/s25030739openalex-snapshot
Visual Localization Domain for Accurate V-SLAM from Stereo Cameras
inferred← citeshttps://doi.org/10.7287/peerj-cs.257v0.1/reviews/1openalex-snapshot
Peer Review #1 of "Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform (v0.1)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.257v0.1/reviews/2openalex-snapshot
Peer Review #2 of "Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform (v0.1)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.257v0.1/reviews/3openalex-snapshot
Peer Review #3 of "Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform (v0.1)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.257v0.2/reviews/3openalex-snapshot
Peer Review #3 of "Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform (v0.2)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.257v0.3/reviews/3openalex-snapshot
Peer Review #3 of "Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform (v0.3)"
inferred← citeshttps://doi.org/10.7717/peerj-cs.257openalex-snapshot
Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform
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