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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) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line. The transform was introduced in 1917 by Johann Radon, who also provided a…

Art, Explanation & Radon transform in algebraic geometry

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Overview

Explanation

Definition

Relationship with the Fourier transform

Dual transform

Reconstruction approaches

Inversion formulas

Radon transform in algebraic geometry

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Radon transform

Nodes64
Edges63
Triples135
Avg. degree1.97
Density0.03125
Components1

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Radon transform

Top relations

related to Further reading · 42
Radon transform → American Mathematical Society, Applied Mathematics, April, Bibcode, Classics, Computerized Tomography, CRC Press, Dambaru Bhatta, Deans, EMS PressNatterer, Encyclopedia, Frank, Fundamentals, Gabor, Geometric, Image Reconstruction, Industrial, Integral Transforms, ISBN, Its Applications
related to Inversion formulas · 16
Radon transform → As, Delta, Explicit, Explicitly, For, Fourier, Gamma, Hilbert, In, Laplacian, One, Radon, Rf, The, The Radon, Thus
related to Intertwining property · 12
Radon transform → Delta, In, Laplacian, Lax, Let, Lf, Lg, On, Philips, Sigma, The Radon, This
related to External links · 11
Radon transform → Analytical, Antwerp, ASTRA Toolbox, Computed Tomography, Eric, MathWorld, Part, Radon, September, University, Weisstein
related to Relationship with the Fourier transform · 9
Radon transform → For, Fourier, Radon, The, The Fourier, The Radon, This, Thus, We
related to Dual transform · 7
Radon transform → Beginning, Concretely, In, Radon, Rn, Sigma, The
see also · 7
Radon transform → Cauchy, Crofton, Fast Fourier, Hough, Mathematics, PeriodogramMatched, Radon
related to Ill-posedness · 6
Radon transform → Intuitively, Radon, Roughly, Since, The, Thus
related to Radon inversion formula · 6
Radon transform → Filtered Back-projection Formula, In, Radon, Radon Inversion Formula, Ramp, The
is a · 5
Radon transform → Filtered Back-projection Formula or Radon Inversion Formula, function R, functor between appropriate derived categories of étale sheaves Rad, integral transform which takes a function f defined on the plane to a function Rf defined on the, kind of adjoint to the Radon transform

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transform radon displaystyle mathbf alpha mathcal function frac mathbb rf dual int image integral also fourier pi n-1 defined space

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Radon transformis aintegral transform which takes a function f defined on the plane to a function Rf defined on the0.90text
Radon transformis akind of adjoint to the Radon transform0.90text
Radon transformis afunction R0.90text
Radon transformis aFiltered Back-projection Formula or Radon Inversion Formula0.90text
Radon transformis afunctor between appropriate derived categories of étale sheaves Rad0.90text
Radon transformrelated to Dual transformThe0.60section
Radon transformrelated to Dual transformRadon0.60section
Radon transformrelated to Dual transformBeginning0.60section
Radon transformrelated to Dual transformSigma0.60section
Radon transformrelated to Dual transformRn0.60section
Radon transformrelated to Dual transformConcretely0.60section
Radon transformrelated to Dual transformIn0.60section

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