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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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Inversion Formulas for the Spherical Radon-Dunkl Transform [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The spherical Radon-Dunkl transform R_κ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics.
Zhongkai Li, Futao Song
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Null Spaces of Radon Transforms [PDF]
Advances in Mathematics, 2015 We obtain new descriptions of the null spaces of several projectively equivalent transforms in integral geometry. The paper deals with the hyperplane Radon transform, the totally geodesic transforms on the sphere and the hyperbolic space, the spherical ...
Estrada, Ricardo, Rubin, Boris
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On Radon transforms on tori [PDF]
Journal of Fourier Analysis and Applications, 2014 We show injectivity of the X-ray transform and the $d$-plane Radon transform for distributions on the $n$-torus, lowering the regularity assumption in the recent work by Abouelaz and Rouvi\`ere.
Ilmavirta, Joonas
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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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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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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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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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Dispersive Radon transform [PDF]
The Journal of the Acoustical Society of America, 2018 Dispersion results in the spreading and overlapping of the wave-packets, which often limits the capability of signal interpretation; on the other hand, such a phenomenon can also be used for structure or media evaluation. In this study, the authors propose an original dispersive Radon transform (DRT), which is formulated as integration transform along ...
Xu, Kailiang +2 more
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