{"docId":5111,"paperId":5111,"url":"https:\/\/hrj.episciences.org\/5111","doi":"10.46298\/hrj.2019.5111","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01986704","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01986704v1","dateSubmitted":"2019-01-23 14:18:41","dateAccepted":"2019-01-23 15:35:37","datePublished":"2019-01-23 15:35:46","titles":{"en":"Two applications of number theory to discrete tomography"},"authors":["Tijdeman , Rob"],"abstracts":{"en":"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."},"keywords":[["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]"]}