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math.NA2024
Local analysis of iterative reconstruction from discrete generalized Radon transform data in the plane
Alexander Katsevich
Local reconstruction analysis (LRA) is a powerful and flexible technique to study images reconstructed from discrete generalized Radon transform (GRT) data, . The m…
math.NA2024
Analysis of reconstruction from noisy discrete generalized Radon data
Alexander Katsevich
We consider a wide class of generalized Radon transforms , which act in for any and integrate over submanifolds of any codimension , $1\le N\…
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…