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.NA2024
Local reconstruction analysis of inverting the Radon transform in the plane from noisy discrete data
Anuj Abhishek, Alexander Katsevich, James W. Webber
In this paper, we investigate the reconstruction error, $N_\e^{\text{rec}}(x)$, when a linear, filtered back-projection (FBP) algorithm is applied to noisy, discrete Radon transfor…