Bulletin des Sciences Mathématiques· 2026Q1
On discrete X-ray transform
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- Q1SCImago
- 2026year
Short summary
A new non-overdetermined reconstruction method is proposed for a discrete X-ray transform, extending to weighted analogues and connecting to the continuous case.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces a non-overdetermined reconstruction method for discrete X-ray transform.
- Extends the reconstruction to weighted (attenuated) analogues.
- Establishes connections between the discrete and continuous X-ray transforms.
- Builds upon foundational work by Strichartz (1982).
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Bulletin des Sciences Mathématiques, 2026 · DOI ↗
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Field: Radiology, Nuclear Medicine and Imaging
Radiology, Nuclear Medicine and ImagingMedicine