LAUSR

Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform

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1 Published in 2017 at "Journal of High Energy Physics"

DOI: 10.1007/jhep10(2017)082

Abstract: A bstractThe bulk reconstruction formula for a Euclidean anti-de Sitter space is directly related to the inverse of the Gel’fand-Graev-Radon transform. Correlation functions of a conformal scalar field theory in the boundary are thereby related… read more here.

Keywords: fand graev; radon transform; gel fand; graev radon ... See more keywords

Szegö-Radon transform for hypermonogenic functions

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0 Published in 2021 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2021.104381

Abstract: Abstract In this paper, we study a refinement of the Szego-Radon transform in the hypermonogenic setting. Hypermonogenic functions form a subclass of monogenic functions arising in the study of a modified Dirac operator, which allows… read more here.

Keywords: szeg radon; radon transform; hypermonogenic functions; operator ... See more keywords

Impact of Radon transform on plane wave diffraction by an impedance step geometry

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1 Published in 2018 at "Optik"

DOI: 10.1016/j.ijleo.2018.08.126

Abstract: Abstract This work presents a Radon transform analysis of plane wave diffraction by an impedance step, such that the planes and the step have different impedances. Application of Radon transform on diffraction analysis is of… read more here.

Keywords: wave diffraction; plane wave; geometry; radon transform ... See more keywords

A local radon transform for seismic random noise attenuation

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1 Published in 2021 at "Journal of Applied Geophysics"

DOI: 10.1016/j.jappgeo.2021.104264

Abstract: Abstract The Radon transform can sparsify the seismic data assuming that the events follow a certain type of trajectories. Commonly known Radon transforms include linear, parabolic, and hyperbolic transforms, which are usually exploited to process… read more here.

Keywords: seismic data; radon; radon transform; local radon ... See more keywords

To local reconstruction from the spherical mean Radon transform

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1 Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.09.055

Abstract: Abstract The article suggests a new approach using the so-called consistency method for the inversion of the spherical mean Radon transform in 2D with detectors on a line. We present a new iterative formula which… read more here.

Keywords: reconstruction; radon transform; spherical mean; mean radon ... See more keywords

To recovering the moments from the spherical mean Radon transform

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1 Published in 2020 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2020.124334

Abstract: Abstract This article deals with characterizations of a function in terms of its circular mean Radon transform. We present a new approach (the consistency method) showing how to describe the class of real-valued, planar functions… read more here.

Keywords: mean radon; radon transform; circular mean; recovering moments ... See more keywords

A Radon Transform on the Cylinder

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2 Published in 2022 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2022.126119

Abstract: Abstract. We define a parametric Radon transform R that assigns to a Sobolev function on the cylinderS×R in R3 its mean values along sets Eζ formed by the intersections of planes through the origin and… read more here.

Keywords: radon transform; transform cylinder; transform;

A new complex approach towards approximate inverse and generalized Radon transform

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0 Published in 2018 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2017.1357706

Abstract: Abstract In this paper, we first consider the framework of Sobolev spaces and derive analytically a reconstruction algorithm by means of the residue theorem of complex analysis, the approximate inverse, Gaussian mollifier and integral equations.… read more here.

Keywords: approach towards; approximate inverse; generalized radon; radon transform ... See more keywords

Variational regularization of the weighted conical Radon transform

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0 Published in 2018 at "Inverse Problems"

DOI: 10.1088/1361-6420/aae9a3

Abstract: Recovering a function from integrals over conical surfaces recently got significant interest. It is relevant for emission tomography with Compton cameras and other imaging applications. In this paper, we consider the weighted conical Radon transform… read more here.

Keywords: radon transform; conical radon; weighted conical; regularization ... See more keywords

Inequalities for the Radon Transform on Convex Sets

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1 Published in 2021 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnab122

Abstract: Several years ago the authors started looking at some problems of convex geometry from a more general point of view, replacing volume by an arbitrary measure. This approach led to new general properties of the… read more here.

Keywords: convex sets; inequalities radon; transform convex; geometry ... See more keywords

A Fast Sparse Hyperbolic Radon Transform Based on Convolutional Neural Network and Its Demultiple Application

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1 Published in 2022 at "IEEE Geoscience and Remote Sensing Letters"

DOI: 10.1109/lgrs.2022.3223929

Abstract: The hyperbolic Radon transform (RT) is a widely used demultiple method in the seismic data processing. However, this transformation faces two major defects. The limited aperture of acquisition leads to the scissor-like diffusion in the… read more here.

Keywords: neural network; network; hyperbolic radon; convolutional neural ... See more keywords