A uniform reconstruction formula in integral geometry arXiv:1111.6514v1 [math.DG] 28 Nov
2011 Page 1 A uniform reconstruction formula in integral geometry VP Palamodov Tel Aviv …

We propose a new acquisition geometry for electron density reconstruction in three
dimensional x-ray Compton imaging using a monochromatic source. This leads us to a new …

Here we present new L 2 injectivity results for 2D and 3D Compton scattering tomography
(CST) problems in translational geometries. The results are proven through the explicit …

Reconstruction of a function from data of integrals is the mathematical model for a number of
problems arising in diagnostic techniques. These are x-ray, positron radiography …

Generalized Radon Transforms and Imaging by Scattered Particles: Radiative Transport
Equation Page 1 Chapter 1 Radiative Transport Equation The radiative transport (or transfer) …

We present new joint reconstruction and regularization techniques inspired by ideas in
microlocal analysis and lambda tomography, for the simultaneous reconstruction of the …

Here we present a novel microlocal analysis of a new toric section transform which
describes a two-dimensional image reconstruction problem in Compton scattering …

An analysis of the stability of the spindle transform, introduced in (" Three dimensional
Compton scattering tomography" arXiv: 1704.03378 [math. FA]), is presented. We do this via …

We present injectivity and microlocal analyses of a new generalized Radon transform,
$\mathcal {R} $, which has applications to a novel scanner design in three-dimensional …

We lay the foundations for a new fast method to reconstruct the electron density in X-ray
scanning applications using measurements in the dark field. This approach is applied to a …