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Inverse Multiscale Discrete Radon Transform by Filtered Backprojection [PDF]
Applied Sciences, 2020 The Radon transform is a valuable tool in inverse problems such as the ones present in electromagnetic imaging. Up to now the inversion of the multiscale discrete Radon transform has been only possible by iterative numerical methods while the continuous ...
José G. Marichal-Hernández +4 more
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A Framework for Discrete Integral Transformations II—The 2D Discrete Radon Transform
SIAM Journal of Scientific Computing, 2008 Although naturally at the heart of many fundamental physical computations, and potentially useful in many important image processing tasks, the Radon transform lacks a coherent discrete definition for two-dimensional (2D) discrete images which is algebraically exact, invertible, and rapidly computable. We define a notion of 2D discrete Radon transforms
Yoel Shkolnisky
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Relation-based variations of the discrete radon transform
Computers and Mathematics With Applications, 1996 The author introduces variations of Radon transforms and unifies many linear transformations commonly used in signal and image processing. A binary relation \(\rho\) between two sets \(X\) and \(Y\) is a subset of the Cartesian product \(X\times Y\). For \(x\in X\) and \(y\in \), \(Y(x,y) \in\rho\) is denoted by \(x\rho y\). For a function \(f\) from \(
Hsueh, Yuang-Chen
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Discrete radon transform [PDF]
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1987 This paper describes the discrete Radon transform (DRT) and the exact inversion algorithm for it. Similar to the discrete Fourier transform (DFT), the DRT is defined for periodic vector-sequences and studied as a transform in its own right. Casting the forward transform as a matrix-vector multiplication, the key observation is that the matrix-although ...
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Augmenting early stroke diagnosis with an eye-tracker [PDF]
Frontiers in NeurologyPosterior circulation stroke (PCS) presents significant diagnostic challenges due to poorly localizing and non-specific symptoms, such as dizziness, nausea, and headache, which are often misattributed to benign conditions.
Mohamed Abul Hassan +10 more
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Orthogonal discrete Radon transform over images
Signal Processing, 2006 This paper presents a discrete Radon transform based on arrays of size pn × pn where p is prime ( p {greater than or slanted equal to} 2 ) and n ∈ N. The finite Radon transform presented in [F. Matus, J.
Andrew M Kingston
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Quantum Radon Transforms and Their Applications
IEEE Transactions on Quantum Engineering, 2022 This article extends the Radon transform, a classical image-processing tool for fast tomography and denoising, to the quantum computing platform. A new kind of periodic discrete Radon transform (PDRT), called the quantum periodic discrete Radon transform
Guangsheng Ma, Hongbo Li, Jiman Zhao
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Isolated Word Speech Recognition Using Mixed Transform
Journal of Engineering, 2023 Methods of speech recognition have been the subject of several studies over the past decade. Speech recognition has been one of the most exciting areas of the signal processing.
Sadiq Jassim Abou-Loukh +1 more
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Central and Periodic Multi-Scale Discrete Radon Transforms
Applied Sciences, 2021 The multi-scale discrete Radon transform (DRT) calculates, with linearithmic complexity, the summation of pixels, through a set of discrete lines, covering all possible slopes and intercepts in an image, exclusively with integer arithmetic operations. An
Óscar Gómez-Cárdenes +3 more
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Integral geometry on discrete matrices
Moroccan Journal of Pure and Applied Analysis, 2021 In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.
Attioui Abdelbaki
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