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Mathematics of thermoacoustic tomography
P Kuchment, L Kunyansky - European Journal of Applied …, 2008 - cambridge.org
Mathematics of thermoacoustic tomography Page 1 Euro. Jnl of Applied Mathematics (2008), vol.
19, pp. 191–224. c 2008 Cambridge University Press doi:10.1017/S0956792508007353 Printed …
19, pp. 191–224. c 2008 Cambridge University Press doi:10.1017/S0956792508007353 Printed …
Inverse problems: seeing the unseen
G Uhlmann - Bulletin of Mathematical Sciences, 2014 - Springer
This survey article deals mainly with two inverse problems and the relation between them.
The first inverse problem we consider is whether one can determine the electrical …
The first inverse problem we consider is whether one can determine the electrical …
[ספר][B] The Radon transform and medical imaging
P Kuchment - 2013 - SIAM
This text addresses the topics covered in ten lectures delivered by the author during the
2012 CBMS-NSF conference “Mathematical methods of computed tomography.” The goals …
2012 CBMS-NSF conference “Mathematical methods of computed tomography.” The goals …
The inverse problem for the local geodesic ray transform
Under a convexity assumption on the boundary we solve a local inverse problem, namely
we show that the geodesic X-ray transform can be inverted locally in a stable manner; one …
we show that the geodesic X-ray transform can be inverted locally in a stable manner; one …
Mathematics of photoacoustic and thermoacoustic tomography
P Kuchment, L Kunyansky - arxiv preprint arxiv:0912.2022, 2009 - arxiv.org
This is the manuscript of the chapter for a planned Handbook of Mathematical Methods in
Imaging that surveys the mathematical models, problems, and algorithms of the …
Imaging that surveys the mathematical models, problems, and algorithms of the …
The Calderón problem in transversally anisotropic geometries
We consider the anisotropic Calderón problem of recovering a conductivity matrix or a
Riemannian metric from electrical boundary measurements in three and higher dimensions …
Riemannian metric from electrical boundary measurements in three and higher dimensions …
Tensor tomography: progress and challenges
GP Paternain, M Salo, G Uhlmann - Chinese Annals of Mathematics …, 2014 - Springer
Chinese Annals of Mathematics, Series B Tensor Tomography: Progress and Challenges*
Page 1 Chin. Ann. Math. 35B(3), 2014, 399–428 DOI: 10.1007/s11401-014-0834-z Chinese …
Page 1 Chin. Ann. Math. 35B(3), 2014, 399–428 DOI: 10.1007/s11401-014-0834-z Chinese …
Boundary rigidity with partial data
P Stefanov, G Uhlmann, A Vasy - Journal of the American Mathematical …, 2016 - ams.org
We study the boundary rigidity problem with partial data consisting of determining locally the
Riemannian metric of a Riemannian manifold with boundary from the distance function …
Riemannian metric of a Riemannian manifold with boundary from the distance function …
Inverting the local geodesic X-ray transform on tensors
P Stefanov, G Uhlmann, A Vasy - Journal d'Analyse Mathematique, 2018 - Springer
We prove the local invertibility, up to potential fields, and stability of the geodesic X-ray
transform on tensor fields of order 1 and 2 near a strictly convex boundary point, on …
transform on tensor fields of order 1 and 2 near a strictly convex boundary point, on …
Integral geometry on manifolds with boundary and applications
J Ilmavirta, F Monard - The Radon Transform: The First, 2019 - degruyter.com
4 Integral geometry on manifolds with boundary and applications Page 1 Joonas Ilmavirta
and François Monard 4 Integral geometry on manifolds with boundary and applications …
and François Monard 4 Integral geometry on manifolds with boundary and applications …