• Thumbnail for Radon transform
    In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional)...
    24 KB (3,500 words) - 05:42, 17 April 2025
  • computing the Hough transform. Mathematically it is simply the Radon transform in the plane, known since at least 1917, but the Hough transform refers to its...
    34 KB (4,884 words) - 16:20, 29 March 2025
  • Thumbnail for Johann Radon
    so-called Radon–Riesz property. Radon spaces Radonifying function Brigitte Bukovics: Biography of Johann Radon, in: 75 Years of Radon Transform, S. Gindikin...
    6 KB (568 words) - 01:26, 21 October 2024
  • dimensions. Abel transform can be viewed as the Radon transform of an isotropic 2D function f(r). As f(r) is isotropic, its Radon transform is the same at...
    9 KB (1,594 words) - 01:34, 8 August 2024
  • obtained in non-invasive manner. Recent developments have seen the Radon transform and its inverse used for tasks related to realistic object insertion...
    22 KB (2,819 words) - 06:54, 16 June 2025
  • Thumbnail for History of computed tomography
    Radon in 1917 who worked on integral transforms without having a certain practical application in mind. He became the eponym of the Radon transform and...
    48 KB (6,003 words) - 11:30, 23 June 2025
  • geometry, the Funk transform (also known as Minkowski–Funk transform, Funk–Radon transform or spherical Radon transform) is an integral transform defined by integrating...
    8 KB (1,195 words) - 22:20, 14 May 2024
  • Thumbnail for Fourier transform
    called the Fourier-Stieltjes transform due to its connection with the Riemann-Stieltjes integral representation of (Radon) measures. If μ {\displaystyle...
    177 KB (21,313 words) - 14:22, 28 June 2025
  • Laplace–Stieltjes transform Legendre transform Linear canonical transform Mellin transform Inverse Mellin transform Poisson–Mellin–Newton cycle N-transform Radon transform...
    3 KB (266 words) - 20:08, 15 June 2025
  • Thumbnail for Operation of computed tomography
    (s,θ) obtained by performing radon transform to μ(x, y), and (2)μ(x, y) is restored by performing inverse radon transform to measurement results. Consider...
    24 KB (3,035 words) - 03:57, 14 March 2023
  • buildings Radon may also refer to: Radon, Orne, a town in France Johann Radon, Austrian mathematician Radon transform, in mathematics Radon measure, in...
    824 bytes (157 words) - 15:09, 12 April 2025
  • very closely related to the Radon transform, and coincides with it in two dimensions. In higher dimensions, the X-ray transform of a function is defined...
    4 KB (435 words) - 07:00, 28 May 2025
  • logograph used to write several different languages Radon transform, a type of integral transform in mathematics A visual representation of the raw data...
    363 bytes (78 words) - 05:32, 4 August 2024
  • transform. These have been generalized into a supersymmetric FRFT, and a supersymmetric Radon transform. There is also a fractional Radon transform,...
    27 KB (3,937 words) - 02:28, 16 June 2025
  • Thumbnail for Dirac delta function
    equation). This is essentially a form of the inversion formula for the Radon transform because it recovers the value of φ(x) from its integrals over hyperplanes...
    96 KB (14,263 words) - 00:50, 2 July 2025
  • In mathematics, an integral transform is a type of transform that maps a function from its original function space into another function space via integration...
    13 KB (1,278 words) - 17:01, 18 November 2024
  • space. Such transformations often take the form of integral transforms such as the Radon transform and its generalizations. Integral geometry as such first...
    4 KB (582 words) - 23:34, 6 June 2022
  • The Mojette transform is an application of discrete geometry. More specifically, it is a discrete and exact version of the Radon transform, thus a projection...
    27 KB (3,873 words) - 17:39, 4 December 2024
  • Thumbnail for Projection-slice theorem
    Projection-slice theorem (category Integral transforms)
    function f(r), project (e.g. using the Radon transform) it onto a (one-dimensional) line, and do a Fourier transform of that projection. Take that same function...
    9 KB (1,224 words) - 14:28, 21 April 2025
  • theoretical physics, the Penrose transform, introduced by Roger Penrose (1967, 1968, 1969), is a complex analogue of the Radon transform that relates massless fields...
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  • transform Randomized Hough transform Radon transform Template matching Outline of object recognition D.H. Ballard, "Generalizing the Hough Transform to...
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  • Thumbnail for Fritz John
    differential equations and ill-posed problems. His early work was on the Radon transform and he is remembered for John's equation. He was a 1984 MacArthur Fellow...
    8 KB (851 words) - 07:24, 24 January 2025
  • series See also list of transforms, list of Fourier-related transforms Kernel (integral operator) Convolution Radon transform Buffon's needle Hadwiger's...
    2 KB (221 words) - 02:51, 2 May 2022
  • Radon transform. Although from a theoretical point of view many linear inverse problems are well understood, problems involving the Radon transform and...
    70 KB (9,395 words) - 19:43, 12 June 2025
  • Matched filter Filtered backprojection (Radon transform) Welch's method Bartlett's method Discrete-time Fourier transform Least-squares spectral analysis, for...
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  • Thumbnail for Quaternion
    2004). "The Bingham distribution of quaternions and its spherical radon transform in texture analysis". Mathematical Geology. 36 (8): 917–943. Bibcode:2004MatGe...
    96 KB (12,674 words) - 14:32, 18 June 2025
  • Filtered back-projection: efficiently computes the inverse 2-dimensional Radon transform. Level set method (LSM): a numerical technique for tracking interfaces...
    72 KB (7,951 words) - 17:13, 5 June 2025
  • singularity theorem in general relativity Penrose transform, a complex analogue of the Radon transform in theoretical physics Penrose–Hawking singularity...
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  • Thumbnail for Tomography
    tomography Johann Radon Medical imaging Network tomography Nonogram – a type of puzzle based on a discrete model of tomography Radon transform Tomographic reconstruction...
    19 KB (1,694 words) - 05:11, 17 January 2025
  • the Bochner integral is that the Radon–Nikodym theorem fails to hold in general, and instead is a property (the Radon–Nikodym property) defining an important...
    14 KB (2,253 words) - 02:00, 10 June 2025