Results 261 to 270 of about 1,798 (292)
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2008
In this article a special type of Radon transform (Kipriyanov-Radon transform K γ ) is considered and some properties of this transform are proved. The main results of this work are the inversion formulas of K γ , which were obtained with a help of general B-hypersingular integrals.
Ekaterina Gots, Lev Lyakhov
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In this article a special type of Radon transform (Kipriyanov-Radon transform K γ ) is considered and some properties of this transform are proved. The main results of this work are the inversion formulas of K γ , which were obtained with a help of general B-hypersingular integrals.
Ekaterina Gots, Lev Lyakhov
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Proceedings of International Conference on Image Processing, 2002
A convex elliptical region of the plane supports a positive-valued function of two variables whose Radon transform depends only on the slope of the integrating line: any two parallel lines that intersect the ellipse generate equal line integrals of the function. It is somewhat surprising that such a function exists.
Thomas L. Marzetta, Larry A. Shepp
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A convex elliptical region of the plane supports a positive-valued function of two variables whose Radon transform depends only on the slope of the integrating line: any two parallel lines that intersect the ellipse generate equal line integrals of the function. It is somewhat surprising that such a function exists.
Thomas L. Marzetta, Larry A. Shepp
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Radon transform for face recognition
Artificial Life and Robotics, 2010Face recognition is an important biometric because of its potential applications in many fields such as access control, surveillance, and human-computer interactions. In this article, an investigation of the effect of the step size for both the angle and the vector of the Radon transform on the performance of a face recognition system based on ...
Jamal Ahmad Dargham +3 more
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Radon Transform on a Harmonic Manifold
The Journal of Geometric Analysis, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2009
For a given function f defined in the plane, which may represent, for instance, the attenuation-coefficient function in a cross section of a sample, the fundamental question of image reconstruction calls on us to consider the value of the integral of f along a typical line l t , θ.
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For a given function f defined in the plane, which may represent, for instance, the attenuation-coefficient function in a cross section of a sample, the fundamental question of image reconstruction calls on us to consider the value of the integral of f along a typical line l t , θ.
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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 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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Microlocal Analysis of Generalized Radon Transforms from Scattering Tomography
SIAM Journal on Imaging Sciences, 2021Eric Todd Quinto
exaly
Ellipsoidal and hyperbolic Radon transforms; microlocal properties and injectivity
Journal of Functional Analysis, 2023Eric Todd Quinto
exaly
Radon, Cosine and Sine Transforms on Real Hyperbolic Space
Advances in Mathematics, 2002Boris Rubin
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