A. Katsevich

activity

20162021

collaborators

Showing 2018Show all

2 papers · 1 filter

physics.med-ph2018

Interior X-ray diffraction tomography with low-resolution exterior information

Zheyuan Zhu, Alexander Katsevich, Shuo Pang

X-ray diffraction tomography (XDT) resolves spatially-variant XRD profiles within macroscopic objects, and provides improved material contrast compared to the conventional transmis…

math.FA2018

Inversion formula and range conditions for a vector multi-interval finite Hilbert transform in $L^{2}$

Alexander Katsevich, Marco Bertola, Alexander Tovbis

Given $n$ disjoint intervals $I_{j}$ , on $R$ together with $n$ functions $ψ_{j} \in L^{2} (I_{j})$ , $j = 1, \dots n$ , and an $n \times n$ matrix $Θ$ , the problem is to find an $L^{2}$ solu…

Interior X-ray diffraction tomography with low-resolution exterior information

Inversion formula and range conditions for a vector multi-interval finite Hilbert transform in L2

Inversion formula and range conditions for a vector multi-interval finite Hilbert transform in $L^{2}$