10.46298/hrj.2019.5111
https://hrj.episciences.org/5111
Tijdeman
,
Rob
Rob
Tijdeman
Two applications of number theory to discrete tomography
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.
episciences.org
Discrete tomography
sums of two squares
switching components 2010 Mathematics Subject Classification 94A08
15A06
[
MATH
]
Mathematics [math]
[
MATH.MATH-NT
]
Mathematics [math]/Number Theory [math.NT]
2019-01-23
2019-01-23
2019-01-23
en
journal article
https://hal.archives-ouvertes.fr/hal-01986704v1
2804-7370
https://hrj.episciences.org/5111/pdf
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