Inversion of weighted divergent beam and cone transforms
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Publication:2408420
DOI10.3934/ipi.2017049zbMath1372.44004arXiv1612.06772OpenAlexW2586432563MaRDI QIDQ2408420
Fatma Terzioglu, Peter A. Kuchment
Publication date: 12 October 2017
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.06772
Radon transformintegral geometryinversionimagingCompton cameraweighted cone transformweighted divergent beam transform
Related Items (16)
Nonreciprocal broken ray transforms with applications to fluorescence imaging ⋮ On the angular moment operators of attenuated ray transforms of scalar 3D-fields ⋮ Recovering a function from its integrals over conical surfaces through relations with the Radon transform ⋮ Compton camera imaging and the cone transform: a brief overview ⋮ Solution of a certain problem of scattering by using of the maximum entropy principle ⋮ The linearized Calderón problem for polyharmonic operators ⋮ The conical Radon transform with vertices on triple line segments ⋮ Some analytic properties of the cone transform ⋮ The V-line transform with some generalizations and cone differentiation ⋮ An inversion formula for the horizontal conical Radon transform ⋮ Enhancement of Compton camera images reconstructed by inversion of a conical Radon transform ⋮ Inversion formula for the conical Radon transform arising in a single first semicircle second Compton camera with rotation ⋮ Recovery of singularities for the weighted cone transform appearing in Compton camera imaging ⋮ Artifacts in the inversion of the broken ray transform in the plane ⋮ Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$ ⋮ Sampling for the V-line transform with vertex on a circle
Uses Software
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