Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds

Ilmavirta, Joonas; Lehtonen, Jere; Salo, Mikko

doi:10.1017/S0305004118000543

dc.contributor.author	Ilmavirta, Joonas
dc.contributor.author	Lehtonen, Jere
dc.contributor.author	Salo, Mikko
dc.date.accessioned	2019-12-31T06:12:31Z
dc.date.available	2019-12-31T06:12:31Z
dc.date.issued	2020
dc.identifier.citation	Ilmavirta, J., Lehtonen, J., & Salo, M. (2020). Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, <i>168</i>(1), 29-41. <a href="https://doi.org/10.1017/S0305004118000543" target="_blank">https://doi.org/10.1017/S0305004118000543</a>
dc.identifier.other	CONVID_28650775
dc.identifier.other	TUTKAID_79075
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/67049
dc.description.abstract	We show that on a two-dimensional compact nontrapping manifold with strictly convex boundary, a piecewise constant function is determined by its integrals over geodesics. In higher dimensions, we obtain a similar result if the manifold satisfies a foliation condition. These theorems are based on iterating a local uniqueness result. Our proofs are elementary.	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Cambridge University Press
dc.relation.ispartofseries	Mathematical Proceedings of the Cambridge Philosophical Society
dc.rights	CC BY-NC-ND 4.0
dc.subject.other	inversio-ongelmat	fi
dc.subject.other	inverse problems	fi
dc.title	Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201912275493
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.date.updated	2019-12-27T16:15:28Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	29-41
dc.relation.issn	0305-0041
dc.relation.numberinseries	1
dc.relation.volume	168
dc.type.version	acceptedVersion
dc.rights.copyright	© Cambridge Philosophical Society 2018
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	inversio-ongelmat
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p27912
dc.rights.url	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi	10.1017/S0305004118000543
dc.type.okm	A1