Results 241 to 250 of about 1,798 (292)
Fourier Analysis of a Class of Finite Radon Transforms [PDF]
SIAM Journal on Discrete Mathematics, 2003 We develop a Fourier analysis for Radon transforms between multiplicity-free permutation representations. Statistical applications of such Radon transforms were given by Diaconis and Rockmore in [ Groups and Computation ( New Brunswick, NJ, 1991), DIMACS
Fabio Scarabotti
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Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices
Applied and Computational Harmonic Analysis, 2006 Let Mn,m be the space of real n×m matrices which can be identified with the Euclidean space Rnm. We introduce continuous wavelet transforms on Mn,m with a multivalued scaling parameter represented by a positive definite symmetric matrix. These transforms
Gestur Olafsson, Boris Rubin
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Riesz potentials and orthogonal radon transforms on affine Grassmannians
Fractional Calculus and Applied Analysis, 2021 We establish intertwining relations between Riesz potentials associated with fractional powers of minus-Laplacian and orthogonal Radon transforms Rj,k of the Gonzalez-Strichartz type.
Boris Rubin +2 more
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Inversion of weighted Radon transforms via finite Fourier series weight approximations
Inverse Problems in Science and Engineering, 2014 International audienceWe consider weighted Radon transforms on the plane. We show that the Chang approximate inversion formula for these transforms admits a principal refinement as inversion via finite Fourier series weight approximations.
R G Novikov
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IEEE Transactions on Image Processing, 1997
This article formally defines partial Radon transforms for functions of more than two dimensions. It shows that a generalized projection-slice theorem exists which connects planar and hyperplanar projections of a function to its Fourier transform. In addition, a general theoretical framework is provided for carrying out n-dimensional backprojection ...
Zhi-Pei Liang, David C. Munson Jr.
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This article formally defines partial Radon transforms for functions of more than two dimensions. It shows that a generalized projection-slice theorem exists which connects planar and hyperplanar projections of a function to its Fourier transform. In addition, a general theoretical framework is provided for carrying out n-dimensional backprojection ...
Zhi-Pei Liang, David C. Munson Jr.
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Mediterranean Journal of Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abouelaz, Ahmed, Rouvière, François
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abouelaz, Ahmed, Rouvière, François
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The Exponential Radon Transform
SIAM Journal on Applied Mathematics, 1980The exponential Radon transform, a generalization of the Radon transform, is defined and is studied as a mapping of function spaces. An inversion formula is derived. The exponential Radon transform is represented in terms of Fourier transforms of its domain and range, and this leads to a characterization of the range of the transform.The exponential ...
Tretiak, Oleh, Metz, Charles
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1988
A new algorithm is presented whereby the Radon transform may be computed in a time commensurate with real-time computer vision applications. The computation and storage requirments are optimized using the four-fold symmetry of the image plane and the properties of the transform.
Violet F. Leavers, Mark B. Sandler
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A new algorithm is presented whereby the Radon transform may be computed in a time commensurate with real-time computer vision applications. The computation and storage requirments are optimized using the four-fold symmetry of the image plane and the properties of the transform.
Violet F. Leavers, Mark B. Sandler
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The polynomial discrete Radon transform
Signal, Image and Video Processing, 2014This paper presents a new approach called polynomial discrete Radon transform (PDRT), regarded as a generalization of the classical finite discrete Radon transform. Specifically, the PDRT transforms an image into Radon space by summing the pixels according to polynomial curves. The PDRT can be applied on square
Ines Elouedi +3 more
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SIAM Journal on Applied Mathematics, 1992
The interior Radon transform arises from a limited data problem in computerized tomography when only rays traveling through a specified region of interest are measured. This problem occurs due to technical restrictions of the sampling apparatus or in an endeavor to reduce the \(X\)-ray dose.
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The interior Radon transform arises from a limited data problem in computerized tomography when only rays traveling through a specified region of interest are measured. This problem occurs due to technical restrictions of the sampling apparatus or in an endeavor to reduce the \(X\)-ray dose.
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