On the broken ray transform
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University of JyväskyläISBN
9789513957438ISSN Search the Publication Forum
14578905Keywords
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Partial Data Problems and Unique Continuation in Scalar and Vector Field Tomography
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Xray Tomography of Oneforms with Partial Data
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Brander, Tommi; Ilmavirta, Joonas; Piiroinen, Petteri; Tyni, Teemu (American Institute of Mathematical Sciences (AIMS), 2020)We study an inverse problem where an unknown radiating source is observed with collimated detectors along a single line and the medium has a known attenuation. The research is motivated by applications in SPECT and beam ... 
Pestov identities and Xray tomography on manifolds of low regularity
Ilmavirta, Joonas; Kykkänen, Antti (American Institute of Mathematical Sciences (AIMS), 2023)We prove that the geodesic Xray transform is injective on scalar functions and (solenoidally) on oneforms on simple Riemannian manifolds (M, g) with g ∈ C1,1. In addition to a proof, we produce a redefinition of simplicity ... 
Pestov identities and Xray tomography on manifolds of low regularity
Ilmavirta, Joonas; Kykkänen, Antti (American Institute of Mathematical Sciences (AIMS), 2023)We prove that the geodesic Xray transform is injective on scalar functions and (solenoidally) on oneforms on simple Riemannian manifolds (M, g) with g ∈ C1,1. In addition to a proof, we produce a redefinition of simplicity ...