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Two applications of number theory to discrete tomography

Abstract : Tomography is the theory behind scans, e.g. MRI-scans. Most common is continuous tomography where an object is reconstructed from numerous projections. In some cases this is not applicable, because the object changes too quickly or is damaged by making hundreds of projections (by X-rays). In such cases discrete tomography may apply where only few projections are made. The present paper shows how number theory helps to provide insight in the application and structure of discrete tomography.
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Submitted on : Saturday, January 19, 2019 - 8:13:54 AM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM

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Rob Tijdeman. Two applications of number theory to discrete tomography. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2019, Atelier Digit_Hum, pp.98 - 103. ⟨10.46298/hrj.2019.5111⟩. ⟨hal-01986704⟩

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