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Null spaces of Radon transforms [PDF]
Advances in Mathematics, 2016 24 pages.
Ricardo Estrada, Boris Rubin
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Comparison problems for Radon transforms
Advances in Mathematics, 2023 26 ...
Koldobsky, Alexander +2 more
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Laser Deflection Acoustic Field Quantification: A Non-Invasive Measurement Technique for Focused Ultrasound Field Characterization [PDF]
BioengineeringFocused ultrasound (FU) technology is extensively employed in clinical applications such as tumor ablation, Parkinson’s disease treatment, and neuropathic pain management.
Yang Xu +11 more
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Integrating non-linear radon transformation for diabetic retinopathy grading [PDF]
Scientific ReportsDiabetic retinopathy is a serious ocular complication that poses a significant threat to patients’ vision and overall health. Early detection and accurate grading are essential to prevent vision loss.
Farida Mohsen +2 more
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tomoCAM: fast model-based iterative reconstruction via GPU acceleration and non-uniform fast Fourier transforms [PDF]
Journal of Synchrotron RadiationX-ray-based computed tomography is a well established technique for determining the three-dimensional structure of an object from its two-dimensional projections.
Dinesh Kumar +2 more
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Injectivity and Stability for a Generic Class of Generalized Radon Transforms. [PDF]
J Geom Anal, 2017 Let (M, g) be an analytic, compact, Riemannian manifold with boundary, of dimension n ≥ 2 . We study a class of generalized Radon transforms, integrating over a family of hypersurfaces embedded in M, satisfying the Bolker condition (in: Quinto ...
Homan A, Zhou H.
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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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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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The Radon transform of Boehmians [PDF]
Proceedings of the American Mathematical Society, 1993 The Radon transform, which enables one to reconstruct a function of N N variables from the knowledge of its integrals over ...
Mikusinski, Piotr, Zayed, Ahmed
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A two cones support theorem [PDF]
Opuscula Mathematica, 2016 We show that if the Radon transform of a distribution \(f\) vanishes outside of an acute cone \(C_{0}\), the support of the distribution is contained in the union of \(C_{0}\) and another acute cone \(C_{1}\), the cones are in a suitable position, and ...
Ricardo Estrada
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