Results 201 to 210 of about 1,413 (221)
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Characterizations of function spaces by the discrete Radon transform
Integral Transforms and Special Functions, 2012Let be the lattice in and the set of all discrete hyperplanes in . Similarly, as in the Euclidean case, for a function f on , the discrete Radon transform R f is defined by the integral of f over discrete hyperplanes, and R maps functions on to functions on .
A. Abouelaz, T. Kawazoe
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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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The fast discrete Radon transform
[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, 1992An explicit relationship between the continuous and discrete time Radon transforms is derived. A generalized least-squares solution to the inversion problem is proposed, and a new inverse counterpart to the fast Radon transform (FRT) algorithm (IFRT) is derived.
Brian T. Kelley, Vijay K. Madisetti
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Compressive sensing of images based on discrete periodic Radon transform
Electronics Letters, 2014 A new compressive sensing (CS) scheme using the structured random matrix and the discrete periodic Radon transform (DPRT) is proposed. The new scheme first pre-randomises the sensing image and the DPRT is applied to the randomised samples to generate the
Daniel P K Lun, Bingo Wing-Kuen Ling
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Generalized Discrete Radon Transforms and Their Use in the Ridgelet Transform
Journal of Mathematical Imaging and Vision, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Flavia Colonna, Glenn R. Easley
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Pattern Recognition, 2010 International audienceThis paper presents an image reconstruction method for X-ray tomography from limited range projections. It makes use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to define the projection ...
H Z Shu, L M Luo
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On the Invertibility of the Discrete Radon Transform
SIAM Journal on Discrete Mathematics, 1989Summary: The Radon transform is a useful device for analyzing multidimensional data. It is closely connected to what has become known as ``projection pursuit''. For the case of discrete data, theorems that address its invertibility are proven. Connections to the projective group over GF(2) and block designs naturally arise.
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The simplest discrete Radon transform
SEG Technical Program Expanded Abstracts 1998, 1998Pitfalls in the evaluation of the discrete Radon transform are reviewed and methods are identified that overcome the problems. A commonly used discrete form of the Radon integral formula results in two types of artifacts being generated: operator aliasing artifacts and truncation artifacts.
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Discrete Radon transform in a continuous space
Journal of the Optical Society of America A, 1987We discuss a discrete Radon transform in a continuous space in order to establish an analytically exact method to synthesize projections from discretely sampled data. The method shown is based on sampling theory and assumes that an object is band limited.
Nagaaki Ohyama +4 more
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Exposing parallelism of discrete radon transform
Proceedings of the 3rd International Conference on Telecommunications and Communication Engineering, 2019Discrete Radon Transform, DRT, is an integral transform that computes the complete set, in terms of slope and intercepts, of line integrals through a two-dimensional domain. It exhibits linearithmic computational complexity and avoids the usage of real numbers thanks to a divide and conquer, or multiscale, approach with a loose definition of discrete ...
Óscar Gómez-Cárdenes +3 more
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