3 papers
math.GM2026
Microlocal analysis of non-linear artifacts in cone beam CT
James W. Webber, Alexander Katsevich
We present a novel microlocal analysis of beam hardening artifacts arising in cone-beam X-ray CT, where the set of X-ray sources is restricted to a 1D smooth curve $ γ\subset \math…
math.ST2025
Statistical microlocal analysis in two-dimensional X-ray CT
Anuj Abhishek, Alexander Katsevich, James W. Webber
In many imaging applications it is important to assess how well the edges of the original object, , are resolved in an image, , reconstructed from the measured dat…
math.NA2025
Analysis of beam hardening streaks in tomography
Alexander Katsevich
The mathematical foundation of X-ray CT is based on the assumption that by measuring the attenuation of X-rays passing through an object, one can recover the integrals of the atten…