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 …

Single-stage reconstruction algorithm for quantitative photoacoustic tomography

M Haltmeier, L Neumann, S Rabanser - Inverse Problems, 2015 - iopscience.iop.org
The development of efficient and accurate image reconstruction algorithms is one of the
cornerstones of computed tomography. Existing algorithms for quantitative photoacoustic …

[HTML][HTML] Determining the first order perturbation of a bi-harmonic operator on bounded and unbounded domains from partial data

Y Yang - Journal of Differential Equations, 2014 - Elsevier
In this paper we study inverse boundary value problems with partial data for the bi-harmonic
operator with first order perturbation. We consider two types of subsets of R n (n≥ 3), one is …

Stability for quantitative photoacoustic tomographywith well-chosen illuminations

G Alessandrini, M Di Cristo, E Francini… - Annali di Matematica …, 2017 - Springer
We treat the stability issue for the three-dimensional inverse imaging modality called
quantitative photoacoustic tomography. We provide universal choices of the illuminations …

Analysis of MUSIC-type imaging functional for single, thin electromagnetic inhomogeneity in limited-view inverse scattering problem

CY Ahn, K Jeon, WK Park - Journal of Computational Physics, 2015 - Elsevier
This study analyzes the well-known MUltiple SIgnal Classification (MUSIC) algorithm to
identify unknown support of thin penetrable electromagnetic inhomogeneity from scattered …

Inverse problem of electro-seismic conversion

J Chen, Y Yang - Inverse Problems, 2013 - iopscience.iop.org
When a porous rock is saturated with an electrolyte, electrical fields are coupled with seismic
waves via the electro-seismic conversion. Pride (1994 Phys. Rev. B 50 15678–96) derived …

Analysis of the linearized problem of quantitative photoacoustic tomography

M Haltmeier, L Neumann, L Nguyen… - SIAM Journal on Applied …, 2018 - SIAM
Quantitative image reconstruction in photoacoustic tomography requires the solution of a
coupled physics inverse problem involving light transport and acoustic wave propagation. In …

Photoacoustic image reconstruction: material detection and acoustical heterogeneities

S Schoeder, M Kronbichler, WA Wall - Inverse problems, 2017 - iopscience.iop.org
The correct consideration of acoustical heterogeneities in the context of photoacoustic
image reconstruction is an open topic. In this publication a physically motivated algorithm is …

Stochastic proximal gradient algorithms for multi-source quantitative photoacoustic tomography

S Rabanser, L Neumann, M Haltmeier - Entropy, 2018 - mdpi.com
The development of accurate and efficient image reconstruction algorithms is a central
aspect of quantitative photoacoustic tomography (QPAT). In this paper, we address this …

The Buckling Operator: Inverse Boundary Value Problem

Y Ma - Mathematics, 2023 - mdpi.com
In this paper, we consider a zeroth-order perturbation q (x) of the buckling operator Δ 2− κ Δ,
which can be uniquely determined by measuring the Dirichlet-to-Neumann data on the …