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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Fast computation of two-dimensional discrete cosine transforms using fast discrete radon transform [PDF]
Electronics Letters, 1991 A new fast algorithm is presented for computing the two-dimensional discrete cosine transform (2D DCT) using the fast discrete Radon transform. The algorithm has the lowest number of multiplications compared with other algorithms. Furthermore, the algorithm is well suited for parallel implementation.
Ta, N., Attikiouzel, Y., Crebbin, G.
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Fast and Scalable Computation of the Forward and Inverse Discrete Periodic Radon Transform [PDF]
IEEE Transactions on Image Processing, 2016 The Discrete Periodic Radon Transform (DPRT) has been extensively used in applications that involve image reconstructions from projections. This manuscript introduces a fast and scalable approach for computing the forward and inverse DPRT that is based on the use of: (i) a parallel array of fixed-point adder trees, (ii) circular shift registers to ...
Cesar Carranza +2 more
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Exact and fast inversion of the approximate discrete Radon transform from partial data
Applied Mathematics Letters, 2020 We give an exact inversion formula for the approximate discrete Radon transform introduced in [Brady, SIAM J. Comput., 27(1), 107--119] that is of cost $O(N \log N)$ for a square 2D image with $N$ pixels and requires only partial data.
Donsub Rim
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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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Tomographic Reconstruction: General Approach to Fast Back-Projection Algorithms
Mathematics, 2023 Addressing contemporary challenges in computed tomography (CT) demands precise and efficient reconstruction. This necessitates the optimization of CT methods, particularly by improving the algorithmic efficiency of the most computationally demanding ...
Dmitry Polevoy +6 more
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On a Fast Hough/Radon Transform as a Compact Summation Scheme over Digital Straight Line Segments
Mathematics, 2023 The Hough transform, interpreted as the discretization of the Radon transform, is a widely used tool in image processing and machine vision. The primary way to speed it up is to employ the Brady–Yong algorithm.
Dmitry Nikolaev +5 more
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Compressive Sensing Approach to Harmonics Detection in the Ship Electrical Network
Sensors, 2020 The contribution of this paper is to show the opportunities for using the compressive sensing (CS) technique for detecting harmonics in a frequency sparse signal. The signal in a ship’s electrical network, polluted by harmonic distortions, can be modeled
Beata Palczynska +2 more
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Breast cancer detection using combined curvelet based enhancement and a novel segmentation methods
Biomedical Papers, 2015 Aim: This paper describes the digital implementation of a mathematical transform namely 2D Fast Discrete Curvelet Transform (FDCT) via UnequiSpaced Fast Fourier Transform (USFFT) in combination with the novel segmentation method for effective detection ...
Balasubramaniam Senthilkumar +1 more
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Radon-Augmented Sentinel-2 Satellite Imagery to Derive Wave-Patterns and Regional Bathymetry
Remote Sensing, 2019 Climatological changes occur globally but have local impacts. Increased storminess, sea level rise and more powerful waves are expected to batter the coastal zone more often and more intense.
Erwin W. J. Bergsma +2 more
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