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The Radon transform for higher dimensions
Physics in Medicine & Biology, 1978Results of the Radon transform which are known for n=2 or n=3 can provide guidance toward more general results. The author presents such generalisation and examines the limiting cases for two and three dimensions. Full details of the derivation, which are somewhat involved, will be presented elsewhere (Deans 1978).
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A generalization of the Funk–Radon transform
Inverse Problems, 2017The generalized Funk-Radon transform \(U_\zeta\) takes functions on the 2-sphere \(S^2\) to functions on the set of all cross-sections of \(S^2\) by planes passing through the fixed point \(\zeta\) inside \(S^2\). The case when \(\zeta\) is the center of \(S^2\) yields the classical Funk transform \(F\) that integrates functions over great circles.
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The Radon Transform and Related Transforms
1986In this chapter we introduce and study various integral transforms from a theoretical point of view. As general reference we recommend Helgason (1980). The material of this chapter serves as the theoretical basis for the rest of the book. It contains complete proofs, referring only to Chapter VII.
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A new shape descriptor defined on the Radon transform
Computer Vision and Image Understanding, 2006Laurent Wendling
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The Funk–Radon transform for hyperplane sections through a common point
Analysis and Mathematical Physics, 2020Michael Quellmalz
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Simultaneous source separation using a robust Radon transform
Geophysics, 2014Amr Ibrahim, Mauricio D Sacchi
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The generalized Radon transform: Sampling, accuracy and memory considerations
Pattern Recognition, 2005Cris L Luengo Hendriks +1 more
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On the Determination of a Function from Its Conical Radon Transform with a Fixed Central Axis
SIAM Journal on Mathematical Analysis, 2016Sunghwan Moon
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