Showing items with similar title or keywords.

• Kinemaattinen inversio-ongelma pallosymmetrisellä monistolla 

  Mönkkönen, Keijo (2017)

  Tutkielman pääaiheena on maanjäristysaaltoihin ja Maan sisärakenteen tutkimiseen liittyvä käänteinen kinemaattinen ongelma. Maapalloa mallinnetaan kolmiulotteisella kompaktilla reunallisella monistolla \(\bar{B}^3(0, R)\), ...

• Pestov identities and X-ray tomography on manifolds of low regularity 

  Ilmavirta, Joonas; Kykkänen, Antti (American Institute of Mathematical Sciences (AIMS), 2023)

  We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on one-forms on simple Riemannian manifolds (M, g) with g ∈ C1,1. In addition to a proof, we produce a redefinition of simplicity ...

• Tensor tomography: Progress and challenges 

  Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther (Springer, 2014)

  We survey recent progress in the problem of recovering a tensor field from its integrals along geodesics. We also propose several open problems.

• Injectivity results for the geodesic ray transform 

  Lehtonen, Jere (University of Jyväskylä, 2017)

• Jacobian of solutions to the conductivity equation in limited view 

  Salo, Mikko; Schlüter, Hjørdis (IOP Publishing, 2022)

  The aim of hybrid inverse problems such as Acousto-Electric Tomography or Current Density Imaging is the reconstruction of the electrical conductivity in a domain that can only be accessed from its exterior. In the inversion ...