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Lancet Infectious Diseases, The, ISSN 1473-3099, 2015, Volume 16, Issue 3, pp. 311 - 320
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2016, Volume 48, Issue 2, pp. 1155 - 1177
We derive explicit reconstruction formulas for the attenuated geodesic X-ray transform over functions and, in the case of nonvanishing attenuation, vector... 
Doppler tomography | Attenuated X-ray transform | Inverse problems | Computerized tomography | Simple surfaces | MATHEMATICS, APPLIED | RANGE CHARACTERIZATION | WEIGHTED RADON TRANSFORMS | simple surfaces | inverse problems | computerized tomography | attenuated X-ray transform
Journal Article
Annals of Statistics, ISSN 0090-5364, 04/2019, Volume 47, Issue 2, pp. 1113 - 1147
We consider the statistical inverse problem of recovering a function f : M -> R, where M is a smooth compact Riemannian manifold with boundary, from... 
Radon transform | Semiparametric efficiency | Gaussian prior | MAP estimate | Bernstein–von Mises theorem | Tikhonov regulariser | Inverse problem | TOMOGRAPHY | semiparametric efficiency | MU-TRANSMISSION | STATISTICS & PROBABILITY | RATES | Bernstein-von Mises theorem | CONTRACTION | INVERSE PROBLEMS | FUNCTIONALS | POSTERIOR DISTRIBUTIONS
Journal Article
Inverse Problems and Imaging, ISSN 1930-8337, 04/2018, Volume 12, Issue 2, pp. 433 - 460
Journal Article
Inverse Problems, ISSN 0266-5611, 05/2018, Volume 34, Issue 7, p. 75005
We present numerical reconstructions of anisotropic conductivity tensors in three dimensions, from knowledge of a finite family of power density functionals.... 
conductivity imaging | quaternions | hybrid imaging | coupled physics | MATHEMATICS, APPLIED | INVERSE DIFFUSION | RECONSTRUCTION | STABILITY | KNOWLEDGE | PHYSICS, MATHEMATICAL
Journal Article
Inverse Problems, ISSN 0266-5611, 05/2018, Volume 34, Issue 6, p. 64003
This article deals with stability issues related to geodesic x-ray transforms, where an interplay between the (attenuation type) weight in the transform and... 
attenuated | singularities | geodesic x-ray transform | TENSOR-FIELDS | TOMOGRAPHY | MATHEMATICS, APPLIED | STABILITY | BOUNDARY RIGIDITY | DOPPLER TRANSFORM | VECTOR-FIELDS | INVERSION | PHYSICS, MATHEMATICAL | SIMPLE SURFACES | NONSIMPLE RIEMANNIAN-MANIFOLDS | GEOMETRY
Journal Article
Inverse Problems and Imaging, ISSN 1930-8337, 05/2016, Volume 10, Issue 2, pp. 433 - 459
We propose a thorough analysis of the tensor tomography problem on the Euclidean unit disk parameterized in fan-beam coordinates. This includes, for the... 
Radon transform | Fan-beam coordinates | Moment conditions | Tensor tomography | X-ray transform | MATHEMATICS, APPLIED | 2-MANIFOLDS | CONNECTIONS | INVERSION | PHYSICS, MATHEMATICAL | CONSISTENCY CONDITIONS | RADON-TRANSFORM | fan-beam coordinates | moment conditions | RANGE | SURFACES
Journal Article
Inverse Problems, ISSN 0266-5611, 2014, Volume 30, Issue 6, pp. 65001 - 21
This paper proposes a partial answer to the explicit inversion of the tensor tomography problem in two dimensions, by proving injectivity over certain kinds of... 
reconstruction algorithms | tensor tomography | symmetric differentials | geodesic ray transform | inverse problems | TOMOGRAPHY | MATHEMATICS, APPLIED | 2-MANIFOLDS | INVERSION FORMULAS | BOUNDARY RIGIDITY | PHYSICS, MATHEMATICAL | Reconstruction | Tensors | Inverse problems | Mathematical analysis | Transforms | Differentials | Tomography | Mathematical models
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 8/2015, Volume 337, Issue 3, pp. 1491 - 1513
Journal Article
ISSN 0090-5364, 2018
We consider the statistical inverse problem of recovering a function $f: M \to \mathbb R$, where $M$ is a smooth compact Riemannian manifold with boundary,... 
62G20 (Primary), 58J40, 65R10, 62F15 (Secondary) | stat.TH | math.ST | stat.ME | math.AP
Journal Article
Communications in Partial Differential Equations, ISSN 0360-5302, 07/2013, Volume 38, Issue 7, pp. 1183 - 1207
We investigate the problem of reconstructing a fully anisotropic conductivity tensor γ from internal functionals of the form ∇u·γ∇u where u solves ∇·(γ∇u) = 0... 
Explicit reconstructions | Secondary 35J15 | Primary 35R30 | Hybrid methods Inverse conductivity | Anisotropic tensors | Coupled-physics imaging | Runge approximation | MATHEMATICS | MATHEMATICS, APPLIED | ELECTRICAL-IMPEDANCE TOMOGRAPHY | Studies
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 10/2017, pp. 1 - 43
Journal Article
Communications in Partial Differential Equations, ISSN 0360-5302, 07/2013, Volume 38, Issue 7, pp. 1183 - 1207
Journal Article
Inverse Problems, ISSN 0266-5611, 12/2014, Volume 30, Issue 12, pp. 125004 - 125026
Within the framework of linear elasticity we assume the availability of internal full-field measurements of the continuum deformations of a non-homogeneous... 
elastography | regularization Method | internal data | quantitative parameter identification | Lamé system | SYSTEM | regularization method | MATHEMATICS, APPLIED | Lame system | PHYSICS, MATHEMATICAL | Reconstruction | Algebra | Mathematical analysis | Inversions | Continuums | Elasticity | Mathematical models | Derivatives | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics
Journal Article
Inverse Problems and Imaging, ISSN 1930-8337, 05/2013, Volume 7, Issue 2, pp. 353 - 375
Journal Article
European Journal of Medicinal Chemistry, ISSN 0223-5234, 10/2018, Volume 158, pp. 334 - 352
Because of the complex biological networks, many pathologic disorders fail to be treated with a molecule directed towards a single target. Thus, combination... 
Triazole | Chromane | Imidazole | AT1 | PPAR-γ | Designed multiple ligands | METABOLIC SYNDROME | ANTIPROLIFERATIVE ACTIVITY | ALZHEIMERS-DISEASE | DRUG DISCOVERY | AGONISTS | HIGHLY EFFICIENT | PPAR-gamma | lmidazole | DUAL ACTIVITY | ANTAGONISTS | 4-THIAZOLIDINONE DERIVATIVES | CHEMISTRY, MEDICINAL | Medicinal Chemistry | Chemical Sciences
Journal Article
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, ISSN 0928-0219, 08/2019, Volume 27, Issue 4, pp. 527 - 538
We first give a constructive answer to the attenuated tensor tomography problem on simple surfaces. We then use this result to propose two approaches to... 
TOMOGRAPHY | MATHEMATICS | tensor tomography | attenuated ray transform | MATHEMATICS, APPLIED | Geodesic X-ray transform | reconstruction | VECTOR-FIELDS | INVERSION | moment transform | transverse ray transform | RANGE | Mathematical analysis | Integral transforms | Tensors
Journal Article
SIAM Journal on Imaging Sciences, ISSN 1936-4954, 06/2014, Volume 7, Issue 2, pp. 1335 - 1357
Journal Article
Inverse Problems, ISSN 0266-5611, 08/2012, Volume 28, Issue 8, pp. 84001 - 20
This paper concerns the reconstruction of an anisotropic diffusion tensor gamma = (gamma(ij))(1 <= i, j <= 2) from knowledge of internal functionals of the... 
PHYSICS, MATHEMATICAL | MATHEMATICS, APPLIED | Tensors | Inverse problems | Mathematical analysis | Triangles | Boundary conditions | Mathematical models | Two dimensional | Diffusion | Mathematics - Analysis of PDEs
Journal Article
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