Inverse transport theory and applications

G Bal - Inverse Problems, 2009 - iopscience.iop.org
Inverse transport consists of reconstructing the optical properties of a domain from
measurements performed at the domain's boundary. This review concerns several types of …

The attenuated ray transform on simple surfaces

M Salo, G Uhlmann - Journal of differential geometry, 2011 - projecteuclid.org
THE ATTENUATED RAY TRANSFORM ON SIMPLE SURFACES Mikko Salo & Gunther
Uhlmann Abstract 1. Introduction The geodesic ray trans Page 1 j. differential geometry 88 (2011) …

On the microlocal analysis of the geodesic X-ray transform with conjugate points

S Holman, G Uhlmann - Journal of Differential Geometry, 2018 - projecteuclid.org
We study the microlocal properties of the geodesic X-ray transform $\mathcal {X} $ on a
manifold with boundary allowing the presence of conjugate points. Assuming that there are …

Gauge equivalence in stationary radiative transport through media with varying index of refraction

SR McDowall, P Stefanov, A Tamasan - Inverse Problems and …, 2010 - cedar.wwu.edu
Three dimensional anisotropic attenuating and scattering media sharing the same albedo
operator have been shown to be related via a gauge transformation. Such transformations …

Stability of the gauge equivalent classes in inverse stationary transport in refractive media

S McDowall, P Stefanov, A Tamasan - Contemp. Math, 2011 - books.google.com
Stability of the gauge equivalent classes in inverse stationary transport in refractive media
Page 98 Contemporary Mathematics Volume 559 , 2011 Stability of the Gauge Equivalent …

Inverse source problems in transport via attenuated tensor tomography

G Bal, F Monard - arXiv preprint arXiv:1908.06508, 2019 - arxiv.org
We establish results for the injectivity and injectivity modulo gauge of certain inverse source
problems in transport on a simply connected domain with variable index of refraction …

[PDF][PDF] Attenuated tensor tomography on simple surfaces

YM Assylbekov - preprint, 2012 - Citeseer
arXiv:1204.4388v1 [math.DG] 19 Apr 2012 Page 1 arXiv:1204.4388v1 [math.DG] 19 Apr
2012 ATTENUATED TENSOR TOMOGRAPHY ON SIMPLE SURFACES YERNAT M …

[引用][C] Contemporary Mathematics Volume 559, 2011

S McDowall, P Stefanov… - Tomography and …, 2011 - American Mathematical Soc.