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)...

geometry, the Funk transform (also known as Minkowski–Funk transform, Funk–Radon transform or spherical Radon transform) is an integral transform defined by integrating...

so-called Radon–Riesz property. Radon spaces Radonifying function Brigitte Bukovics: Biography of Johann Radon, in: 75 Years of Radon Transform, S. Gindikin...

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...

theoretical physics, the Penrose transform, introduced by Roger Penrose (1967, 1968, 1969), is a complex analogue of the Radon transform that relates massless fields...

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...

obtained in non-invasive manner. Recent developments have seen the Radon transform and its inverse used for tasks related to realistic object insertion...

transform. These have been generalized into a supersymmetric FRFT, and a supersymmetric Radon transform. There is also a fractional Radon transform,...

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...

called the Fourier-Stieltjes transform due to its connection with the Riemann-Stieltjes integral representation of (Radon) measures. If μ {\displaystyle...

buildings Radon may also refer to: Radon, Orne, a town in France Johann Radon, Austrian mathematician Radon transform, in mathematics Radon measure, in...

Laplace–Stieltjes transform Legendre transform Linear canonical transform Mellin transform Inverse Mellin transform Poisson–Mellin–Newton cycle N-transform Radon transform...

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...

(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...

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...

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...

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...

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...

slopes have a transcendental cross ratio. Radon transform Funk transform (a.k.a. spherical Radon transform) Tomography Tomographic reconstruction Discrete...

space. Such transformations often take the form of integral transforms such as the Radon transform and its generalizations. Integral geometry as such first...

logograph used to write several different languages Radon transform, a type of integral transform in mathematics A visual representation of the raw data...

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...

Log-polar coordinates can also be used to construct fast methods for the Radon transform and its inverse. Polar coordinates Cartesian coordinates Cylindrical...

Matched filter Filtered backprojection (Radon transform) Welch's method Bartlett's method Discrete-time Fourier transform Least-squares spectral analysis, for...

Radon transform. Although from a theoretical point of view many linear inverse problems are well understood, problems involving the Radon transform and...

transform Randomized Hough transform Radon transform Template matching Outline of object recognition D.H. Ballard, "Generalizing the Hough Transform to...

series See also list of transforms, list of Fourier-related transforms Kernel (integral operator) Convolution Radon transform Buffon's needle Hadwiger's...

Cormack wrote: "Ambartsumian gave the first numerical inversion of the Radon transform and it gives the lie to the often made statement that computed tomography...

(1964). "A duality in integral geometry; some generalizations of the Radon transform". Bulletin of the American Mathematical Society. 70 (4): 435–446. doi:10...

spectral density of a signal Filtered backprojection – Integral transform (Radon transform) MUltiple SIgnal Classification – Algorithm used for frequency...