On discrete X-ray transform

2025/05/12 by Roman Novikov, Novikov, Roman, Basant Lal Sharma +1 · 1 citation
Computer Science · Medicine · #44A12 #46F12 #65N21 #65N22 #65R10 #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2505.07505

openalex publication_date 2025/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a discrete version of X-ray transform going back, in particular, to Strichartz (1982). We suggest non-overdetermined reconstruction for this discrete transform. Extensions to weighted (attenuated) analogues are given. Connections to the continuous case are presented.

Citations

• Explicit Kronecker-Weyl theorems and applications to prime number races
• A breakdown of injectivity for weighted ray transforms in\n multidimensions
• Lattice points in large regions and related arithmetic functions: Recent developments in a very classic topic

Cited by

• Discrete non-abelian X-ray transforms

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