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Inverse Problems and Imaging

Short Title: Inverse Probl. Imaging
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 1930-8337; 1930-8345/e
Online: http://aimsciences.org/journal/1930-8337
Comments: Indexed cover-to-cover
Documents Indexed: 737 Publications (since 2007)
References Indexed: 400 Publications with 13,580 References.
all top 5

Authors

14 Siltanen, Samuli
13 Osher, Stanley Joel
11 Bal, Guillaume
11 Tai, Xuecheng
10 Cakoni, Fioralba
9 Kaipio, Jari P.
9 Scherzer, Otmar
8 Chan, Raymond Hon-Fu
8 Chen, Yunmei
8 Haddar, Houssem
8 Kaltenbacher, Barbara
8 Lassas, Matti
8 Stefanov, Plamen D.
8 Uhlmann, Gunther Alberto
7 Bourgeois, Laurent
7 Chan, Tony Fan-Cheong
7 Hu, Guanghui
7 Hyvönen, Nuutti
7 Ikehata, Masaru
7 Isakov, Victor M.
7 Kolehmainen, Ville
7 Ng, Michael Kwok-Po
7 Sini, Mourad
6 Avdonin, Sergeĭ Anatol’evich
6 Dardé, Jérémi
6 Klibanov, Michael V.
6 Lehtinen, Markku S.
6 Monard, François
6 Vese, Luminita A.
5 Cai, Jian-Feng
5 Grasmair, Markus
5 Guo, Weihong
5 Lasanen, Sari
5 Leitão, Antonio
5 Mueller, Jennifer L.
5 Nakamura, Gen
5 Piiroinen, Petteri
5 Quinto, Eric Todd
5 Ramlau, Ronny
5 Roininen, Lassi
5 Rundell, William
5 Salo, Mikko
5 Serov, Valery S.
5 Wang, Jenn-Nan
5 Yamamoto, Masahiro
5 Zhu, Wei
4 Assylbekov, Yernat M.
4 Beretta, Elena
4 Boman, Jan
4 Calvetti, Daniela
4 Chapko, Roman
4 Chen, Ke
4 Garnier, Josselin
4 Hamilton, Sarah Jane
4 Huttunen, Janne M. J.
4 Kian, Yavar
4 Kirsch, Andreas
4 Knudsen, Kim M.
4 Kress, Rainer
4 Krishnan, Venkateswaran P.
4 Kuchment, Peter A.
4 Lechleiter, Armin
4 Li, Jingzhi
4 Li, Song
4 Lin, Yi-Hsuan
4 Liu, Hongyu
4 Lou, Yifei
4 Monk, Peter B.
4 Neubauer, Andreas
4 Nguyen, Loc Hoang
4 Nikolova, Mila
4 Päivärinta, Lassi
4 Piana, Michele
4 Qin, Jing
4 Shen, Zuowei
4 Sincich, Eva
4 Sixou, Bruno
4 Somersalo, Erkki
4 Tyni, Teemu
4 Zeng, Tie Yong
4 Zhang, Xiaoqun
4 Zou, Jun
3 Albani, Vinicius V. L.
3 Alessandrini, Giovanni
3 Arridge, Simon R.
3 Bertozzi, Andrea Louise
3 Borcea, Liliana
3 Bresson, Xavier
3 Bui-Thanh, Tan
3 Burger, Martin
3 Caro, Pedro
3 Colton, David Lem
3 De Cezaro, Adriano
3 Duan, Yuping
3 Elschner, Johannes
3 Gaburro, Romina
3 Gu, Xianfeng
3 Guo, Yukun
3 Harrach, Bastian
3 Hielscher, Ralf
...and 1,071 more Authors
all top 5

Fields

375 Partial differential equations (35-XX)
338 Numerical analysis (65-XX)
146 Information and communication theory, circuits (94-XX)
116 Optics, electromagnetic theory (78-XX)
110 Computer science (68-XX)
80 Biology and other natural sciences (92-XX)
77 Calculus of variations and optimal control; optimization (49-XX)
57 Statistics (62-XX)
50 Integral transforms, operational calculus (44-XX)
50 Operator theory (47-XX)
43 Mechanics of deformable solids (74-XX)
41 Operations research, mathematical programming (90-XX)
35 Differential geometry (53-XX)
31 Integral equations (45-XX)
26 Geophysics (86-XX)
23 Probability theory and stochastic processes (60-XX)
22 Quantum theory (81-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
20 Potential theory (31-XX)
20 Ordinary differential equations (34-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Fluid mechanics (76-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Functional analysis (46-XX)
14 Systems theory; control (93-XX)
11 Functions of a complex variable (30-XX)
9 Dynamical systems and ergodic theory (37-XX)
6 Combinatorics (05-XX)
6 Astronomy and astrophysics (85-XX)
5 General and overarching topics; collections (00-XX)
5 Real functions (26-XX)
5 Convex and discrete geometry (52-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Mathematics education (97-XX)
4 Special functions (33-XX)
4 Mechanics of particles and systems (70-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Difference and functional equations (39-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 Approximations and expansions (41-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

537 Publications have been cited 3,725 times in 2,497 Documents Cited by Year
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
64
2007
Regularized D-bar method for the inverse conductivity problem. Zbl 1184.35314
Knudsen, Kim; Lassas, Matti; Mueller, Jennifer L.; Siltanen, Samuli
45
2009
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
45
2008
On uniqueness in the inverse conductivity problem with local data. Zbl 1125.35113
Isakov, Victor
43
2007
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Zbl 1225.80013
Wu, Chunlin; Zhang, Juyong; Tai, Xue-Cheng
40
2011
Equilibrium measures and capacities in spectral theory. Zbl 1149.31004
Simon, Barry
40
2007
Discretization-invariant Bayesian inversion and Besov space priors. Zbl 1191.62046
Lassas, Matti; Saksman, Eero; Siltanen, Samuli
37
2009
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
37
2009
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
37
2010
Inverse problems for quantum trees. Zbl 1148.35356
Avdonin, Sergei; Kurasov, Pavel
36
2008
Photo-acoustic inversion in convex domains. Zbl 1244.35080
Natterer, Frank
36
2012
Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography. Zbl 1302.65245
Roininen, Lassi; Huttunen, Janne M. J.; Lasanen, Sari
34
2014
A family of inversion formulas in thermoacoustic tomography. Zbl 1183.92054
Nguyen, Linh Viet
34
2009
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
34
2007
Shape reconstruction of acoustic obstacles from the modulus of the far field pattern. Zbl 1194.35502
Ivanyshyn, Olha
34
2007
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
32
2013
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
31
2007
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
30
2010
On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization. Zbl 1165.47009
Kindermann, Stefan; Neubauer, Andreas
29
2008
Two-phase approach for deblurring images corrupted by impulse plus Gaussian noise. Zbl 1154.94306
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila
27
2008
Energy conserving local discontinuous Galerkin methods for wave propagation problems. Zbl 1273.65181
Xing, Yulong; Chou, Ching-Shan; Shu, Chi-Wang
27
2013
Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map. Zbl 1250.58012
Bellassoued, Mourad; Dos Santos Ferreira, David
27
2011
Inverse diffusion from knowledge of power densities. Zbl 1267.35249
Bal, Guillaume; Bonnetier, Eric; Monard, François; Triki, Faouzi
26
2013
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
26
2007
Parallel matrix factorization for low-rank tensor completion. Zbl 1359.15021
Xu, Yangyang; Hao, Ruru; Yin, Wotao; Su, Zhixun
25
2015
A phaseless inverse scattering problem for the 3-D Helmholtz equation. Zbl 1359.35227
Klibanov, Michael V.
25
2017
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
25
2012
A direct sampling method for inverse scattering using far-field data. Zbl 1273.35319
Li, Jingzhi; Zou, Jun
24
2013
Localized potentials in electrical impedance tomography. Zbl 1154.35464
Gebauer, Bastian
23
2008
Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005
De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane
23
2013
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
23
2013
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
23
2010
A quasi-reversibility approach to solve the inverse obstacle problem. Zbl 1200.35318
Bourgeois, Laurent; Dardé, Jérémi
23
2010
Inverse problems with partial data in a slab. Zbl 1200.35331
Li, Xiaosheng; Uhlmann, Gunther
21
2010
Increasing stability for the inverse source scattering problem with multi-frequencies. Zbl 1366.35241
Li, Peijun; Yuan, Ganghua
21
2017
Determining nonsmooth first order terms from partial boundary measurements. Zbl 1122.35152
Knudsen, Kim; Salo, Mikko
21
2007
The factorization method applied to cracks with impedance boundary conditions. Zbl 1302.35430
Boukari, Yosra; Haddar, Houssem
20
2013
Inverse problems for Einstein manifolds. Zbl 1229.58025
Guillarmou, Colin; Sá Barreto, Antônio
20
2009
Coordinate descent optimization for \(l^{1}\) minimization with application to compressed sensing; a greedy algorithm. Zbl 1188.90196
Li, Yingying; Osher, Stanley
20
2009
Positive definiteness of diffusion kurtosis imaging. Zbl 1242.90164
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun
20
2012
Non-Gaussian statistical inverse problems. Part I: Posterior distributions. Zbl 1263.62041
Lasanen, Sari
20
2012
Non-local regularization of inverse problems. Zbl 1223.68116
Peyré, Gabriel; Bougleux, Sébastien; Cohen, Laurent
20
2011
A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078
Cakoni, Fioralba; Haddar, Houssem
20
2007
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
19
2007
A Rellich type theorem for discrete Schrödinger operators. Zbl 1322.47033
Isozaki, Hiroshi; Morioka, Hisashi
18
2014
Stability estimates in stationary inverse transport. Zbl 1168.35446
Bal, Guillaume; Jollivet, Alexandre
18
2008
Approximation errors and truncation of computational domains with application to geophysical tomography. Zbl 1121.65113
Lehikoinen, A.; Finsterle, S.; Voutilainen, A.; Heikkinen, L. M.; Vauhkonen, M.; Kaipio, J. P.
18
2007
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
18
2007
Full identification of acoustic sources with multiple frequencies and boundary measurements. Zbl 1187.65124
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C.
17
2009
Stability of Calderón’s inverse conductivity problem in the plane for discontinuous conductivities. Zbl 1202.35346
Clop, Albert; Faraco, Daniel; Ruiz, Alberto
17
2010
Iterative time-reversal control for inverse problems. Zbl 1141.35468
Bingham, Kenrick; Kurylev, Yaroslav; Lassas, Matti; Siltanen, Samuli
17
2008
The weighted Doppler transform. Zbl 1198.44001
Holman, Sean; Stefanov, Plamen
16
2010
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
16
2013
Detecting small low emission radiating sources. Zbl 1266.82083
Allmaras, Moritz; Darrow, David; Hristova, Yulia; Kanschat, Guido; Kuchment, Peter
16
2013
The “exterior approach” to solve the inverse obstacle problem for the Stokes system. Zbl 1284.35009
Bourgeois, Laurent; Dardé, Jérémi
15
2014
A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092
Burkard, Corinna; Potthast, Roland
15
2009
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A.
15
2010
A study of the one dimensional total generalised variation regularisation problem. Zbl 1336.49044
Papafitsoros, Konstantinos; Bredies, Kristian
15
2015
Simultaneous determination of the diffusion and absorption coefficient from boundary data. Zbl 1261.35153
Harrach, Bastian
15
2012
Sampling type methods for an inverse waveguide problem. Zbl 1263.74023
Monk, Peter; Selgas, Virginia
15
2012
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
15
2010
Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166
Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena
15
2010
Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems. Zbl 06637594
Dardé, Jérémi
15
2016
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
15
2019
Non-Gaussian statistical inverse problems. II: Posterior convergence for approximated unknowns. Zbl 1263.62042
Lasanen, Sari
15
2012
Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise. Zbl 1160.65023
Hohage, Thorsten; Pricop, Mihaela
14
2008
Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 06398723
Cherfils, Laurence; Fakih, Hussein; Miranville, Alain
14
2015
Stability of the determination of a coefficient for wave equations in an infinite waveguide. Zbl 1432.35256
Kian, Yavar
14
2014
The factorization method is independent of transmission eigenvalues. Zbl 1184.78020
Lechleiter, Armin
14
2009
A support theorem for the geodesic ray transform of symmetric tensor fields. Zbl 1192.53071
Krishnan, Venkateswaran P.; Stefanov, Plamen
14
2009
Inverse transport with isotropic sources and angularly averaged measurements. Zbl 1171.65104
Bal, Guillaume; Langmore, Ian; Monard, François
14
2008
A decomposition method for an interior inverse scattering problem. Zbl 1273.78012
Zeng, Fang; Suarez, Pablo; Sun, Jiguang
14
2013
Restoration of manifold-valued images by half-quadratic minimization. Zbl 1348.65097
Bergmann, Ronny; Chan, Raymond; Hielscher, Ralf; Persch, Johannes; Steidl, Gabriele
14
2016
Anisotropic total variation regularized \(L^1\) approximation and denoising/deblurring of 2D bar codes. Zbl 1226.49034
Choksi, Rustum; van Gennip, Yves; Oberman, Adam
14
2011
Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1D case. Zbl 1369.65115
Bécache, Eliane; Bourgeois, Laurent; Franceschini, Lucas; Dardé, Jérémi
13
2015
Augmented Lagrangian method for an Euler’s elastica based segmentation model that promotes convex contours. Zbl 1416.94013
Bae, Egil; Tai, Xue-Cheng; Zhu, Wei
13
2017
A TV Bregman iterative model of Retinex theory. Zbl 1261.68153
Ma, Wenye; Osher, Stanley
13
2012
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
13
2016
On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives. Zbl 1350.49050
Caubet, Fabien; Conca, Carlos; Godoy, Matías
13
2016
Inverse diffusion problems with redundant internal information. Zbl 1302.35449
Monard, François; Bal, Guillaume
13
2012
Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map. Zbl 1328.35312
Isakov, Victor; Wang, Jenn-Nan
12
2014
Oracle-type posterior contraction rates in Bayesian inverse problems. Zbl 1332.62098
Lin, Kui; Lu, Shuai; Mathé, Peter
12
2015
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
12
2019
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
12
2019
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071
Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio
12
2010
Remarks on the general Funk transform and thermoacoustic tomography. Zbl 1213.53094
Palamodov, Victor
12
2010
Nonstationary iterated thresholding algorithms for image deblurring. Zbl 1318.94015
Huang, Jie; Donatelli, Marco; Chan, Raymond H.
12
2013
Near-field imaging of the surface displacement on an infinite ground plane. Zbl 1268.78016
Bao, Gang; Lin, Junshan
12
2013
Identification of obstacles using only the scattered \(P\)-waves or the scattered \(S\)-waves. Zbl 1238.35184
Gintides, Drossos; Sini, Mourad
12
2012
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
12
2011
Approximation errors in nonstationary inverse problems. Zbl 1117.62102
Huttunen, Janne M. J.; Kaipio, Jari P.
12
2007
Heat source identification based on \(\ell_1\) constrained minimization. Zbl 1283.49041
Li, Yingying; Osher, Stanley; Tsai, Richard
11
2014
Identifying defects in an unknown background using differential measurements. Zbl 1334.35417
Audibert, Lorenzo; Girard, Alexandre; Haddar, Houssem
11
2015
Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials. Zbl 1334.35420
Blåsten, Eemeli; Imanuvilov, Oleg; Yamamoto, Masahiro
11
2015
A parallel space-time domain decomposition method for unsteady source inversion problems. Zbl 1332.65057
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun
11
2015
Inverse acoustic obstacle scattering problems using multifrequency measurements. Zbl 1261.35154
Sini, Mourad; Nguyen Trung Thành
11
2012
A globally convergent numerical method for a 1-d inverse medium problem with experimental data. Zbl 1355.34040
Klibanov, Michael V.; Nguyen, Loc H.; Sullivan, Anders; Nguyen, Lam
11
2016
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
Daon, Yair; Stadler, Georg
11
2018
On uniqueness of obstacles and boundary conditions from restricted dynamical and scattering data. Zbl 1158.35104
Isakov, Victor
11
2008
The attenuated magnetic ray transform on surfaces. Zbl 1268.53052
Ainsworth, Gareth
11
2013
An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition. Zbl 1436.34013
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna; Xu, Xiao-Chuan
5
2020
Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017
Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu
3
2020
Uniqueness and stability for the recovery of a time-dependent source in elastodynamics. Zbl 1447.65062
Hu, Guanghui; Kian, Yavar
2
2020
Poisson image denoising based on fractional-order total variation. Zbl 1455.94013
Chowdhury, Mujibur Rahman; Zhang, Jun; Qin, Jing; Lou, Yifei
2
2020
Diffusion generated methods for denoising target-valued images. Zbl 1437.65126
Osting, Braxton; Wang, Dong
2
2020
Regularization of inverse problems via box constrained minimization. Zbl 07208028
Hungerländer, Philipp; Kaltenbacher, Barbara; Rendl, Franz
1
2020
Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency. Zbl 07208030
Xu, Xiaoxu; Zhang, Bo; Zhang, Haiwen
1
2020
Statistical characterization of scattering delay in synthetic aperture radar imaging. Zbl 07208031
Gilman, Mikhail; Tsynkov, Semyon
1
2020
Joint reconstruction in low dose multi-energy CT. Zbl 1444.92061
Toivanen, Jussi; Meaney, Alexander; Siltanen, Samuli; Kolehmainen, Ville
1
2020
Uniqueness results in the inverse spectral Steklov problem. Zbl 1441.58008
Gendron, Germain
1
2020
Thermoacoustic tomography with circular integrating detectors and variable wave speed. Zbl 1448.35579
Mathison, Chase
1
2020
Reconstruction of the derivative of the conductivity at the boundary. Zbl 1448.35580
Ponce-Vanegas, Felipe
1
2020
Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements. Zbl 1447.35373
Bellassoued, Mourad; Fraj, Oumaima Ben
1
2020
Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data. Zbl 1447.35389
Smirnov, Alexey; Klibanov, Michael; Nguyen, Loc
1
2020
A partial data inverse problem for the convection-diffusion equation. Zbl 1431.35247
Sahoo, Suman Kumar; Vashisth, Manmohan
1
2020
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
1
2020
The linear sampling method for Kirchhoff-Love infinite plates. Zbl 1435.35415
Bourgeois, Laurent; Recoquillay, Arnaud
1
2020
Optimal recovery of a radiating source with multiple frequencies along one line. Zbl 07349746
Brander, Tommi; Ilmavirta, Joonas; Piiroinen, Petteri; Tyni, Teemu
1
2020
Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation. Zbl 1464.35399
Liu, Chan; Wen, Jin; Zhang, Zhidong
1
2020
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
15
2019
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
12
2019
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
12
2019
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
10
2019
An inverse obstacle problem for the wave equation in a finite time domain. Zbl 1410.35283
Bourgeois, Laurent; Ponomarev, Dmitry; Dardé, Jérémi
10
2019
Momentum ray transforms. Zbl 1426.44002
Krishnan, Venkateswaran P.; Manna, Ramesh; Sahoo, Suman Kumar; Sharafutdinov, Vladimir A.
8
2019
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
7
2019
A convergent numerical method for a multi-frequency inverse source problem in inhomogenous media. Zbl 1423.35453
Nguyen, Loc H.; Li, Qitong; Klibanov, Michael V.
7
2019
Microlocal analysis of a spindle transform. Zbl 1411.35019
Webber, James W.; Holman, Sean
6
2019
Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385
Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu
6
2019
A partial inverse problem for the Sturm-Liouville operator on the lasso-graph. Zbl 1410.34066
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna
5
2019
Recovering two coefficients in an elliptic equation via phaseless information. Zbl 1407.35229
Romanov, Vladimir G.; Yamamoto, Masahiro
5
2019
Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data. Zbl 1423.35454
Rüland, Angkana; Sincich, Eva
4
2019
A parallel domain decomposition algorithm for large scale image denoising. Zbl 1427.65401
Chen, Rongliang; Huang, Jizu; Cai, Xiao-Chuan
3
2019
Inverse obstacle scattering for elastic waves in three dimensions. Zbl 1435.74045
Li, Peijun; Yuan, Xiaokai
3
2019
Causal holography in application to the inverse scattering problems. Zbl 1415.37043
Katz, Gabriel
3
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Dynamic inverse problem for Jacobi matrices. Zbl 1418.35382
Mikhaylov, Alexandr; Mikhaylov, Victor
3
2019
Inverse problems for the heat equation with memory. Zbl 1407.45006
Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min
2
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Note on Calderón’s inverse problem for measurable conductivities. Zbl 1407.35230
Santacesaria, Matteo
2
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An augmented Lagrangian method for solving a new variational model based on gradients similarity measures and high order regulariation for multimodality registration. Zbl 1410.65360
Theljani, Anis; Chen, Ke
2
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On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions. Zbl 1423.35447
Isakov, Victor
2
2019
Integral equations for biharmonic data completion. Zbl 1447.35377
Chapko, Roman; Johansson, B. Tomas
2
2019
Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation. Zbl 1418.35380
Korpela, Jussi; Lassas, Matti; Oksanen, Lauri
2
2019
Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line. Zbl 07031520
Tyni, Teemu; Serov, Valery
1
2019
A connection between uniqueness of minimizers in Tikhonov-type regularization and Morozov-like discrepancy principles. Zbl 07031523
Albani, Vinicius; De Cezaro, Adriano
1
2019
Incorporating structural prior information and sparsity into EIT using parallel level sets. Zbl 1410.65433
Kolehmainen, Ville; Ehrhardt, Matthias J.; Arridge, Simon R.
1
2019
Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the optical tomography. Zbl 1410.35269
Chen, I-Kun; Kawagoe, Daisuke
1
2019
Determining rough first order perturbations of the polyharmonic operator. Zbl 1423.35433
Assylbekov, Yernat; Iyer, Karthik
1
2019
Kullback-Leibler residual and regularization for inverse problems with noisy data and noisy operator. Zbl 07114763
Sixou, Bruno; Mory, Cyril
1
2019
Robust parameter estimation of chaotic systems. Zbl 1437.37112
Springer, Sebastian; Haario, Heikki; Shemyakin, Vladimir; Kalachev, Leonid; Shchepakin, Denis
1
2019
Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary. Zbl 1429.35211
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
1
2019
Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity. Zbl 1430.35083
Yang, Yang; Zhai, Jian
1
2019
Travel time tomography with formally determined incomplete data in 3D. Zbl 1427.35362
Klibanov, Michael V.
1
2019
On periodic parameter identification in stochastic differential equations. Zbl 1418.65083
Niu, Pingping; Lu, Shuai; Cheng, Jin
1
2019
Recovering low-rank matrices from binary measurements. Zbl 1431.15002
Foucart, Simon; Lynch, Richard G.
1
2019
Inverse elastic surface scattering with far-field data. Zbl 1418.78004
Diao, Huai-An; Li, Peijun; Yuan, Xiaokai
1
2019
Magnetic parameters inversion method with full tensor gradient data. Zbl 1418.86008
Wang, Yanfei; Lukyanenko, Dmitry; Yagola, Anatoly
1
2019
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
Daon, Yair; Stadler, Georg
11
2018
Scattering problems for perturbations of the multidimensional biharmonic operator. Zbl 06936142
Tyni, Teemu; Serov, Valery
10
2018
Efficient tensor tomography in fan-beam coordinates. II: Attenuated transforms. Zbl 1397.35345
Monard, François
8
2018
Inverse source problems without (pseudo) convexity assumptions. Zbl 1395.35213
Isakov, Victor; Lu, Shuai
8
2018
Superconductive and insulating inclusions for linear and non-linear conductivity equations. Zbl 1398.35286
Brander, Tommi; Ilmavirta, Joonas; Kar, Manas
7
2018
A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data. Zbl 1395.35216
Klibanov, Michael V.; Nguyen, Dinh-Liem; Nguyen, Loc H.; Liu, Hui
7
2018
Backward problem for a time-space fractional diffusion equation. Zbl 1397.65107
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai; Li, Yujiao
7
2018
Risk estimators for choosing regularization parameters in ill-posed problems – properties and limitations. Zbl 06945044
Lucka, Felix; Proksch, Katharina; Brune, Christoph; Bissantz, Nicolai; Burger, Martin; Dette, Holger; Wübbeling, Frank
7
2018
Generalized stability estimates in inverse transport theory. Zbl 1395.35206
Bal, Guillaume; Jollivet, Alexandre
6
2018
Support theorem for the light-ray transform of vector fields on Minkowski spaces. Zbl 1404.53096
Rabieniaharatbar, Siamak
6
2018
A variational model with fractional-order regularization term arising in registration of diffusion tensor image. Zbl 06989941
Han, Huan
6
2018
Stability estimates in tensor tomography. Zbl 1401.44002
Boman, Jan; Sharafutdinov, Vladimir
5
2018
Parametrices for the light ray transform on Minkowski spacetime. Zbl 1397.53042
Wang, Yiran
4
2018
On recovery of an inhomogeneous cavity in inverse acoustic scattering. Zbl 1395.35221
Qu, Fenglong; Yang, Jiaqing
4
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Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps. Zbl 1397.65239
Hyvönen, Nuutti; Päivärinta, Lassi; Tamminen, Janne P.
4
2018
Determination of singular time-dependent coefficients for wave equations from full and partial data. Zbl 1395.35212
Hu, Guanghui; Kian, Yavar
4
2018
Use of an optimized spatial prior in D-bar reconstructions of EIT tank data. Zbl 1395.94018
Alsaker, Melody; Mueller, Jennifer L.
4
2018
Inverse source problems in electrodynamics. Zbl 1403.35328
Hu, Guanghui; Li, Peijun; Liu, Xiaodong; Zhao, Yue
4
2018
On the parameter estimation problem of magnetic resonance advection imaging. Zbl 1397.65175
Hubmer, Simon; Neubauer, Andreas; Ramlau, Ronny; Voss, Henning U.
3
2018
EIT in a layered anisotropic medium. Zbl 1395.35204
Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva
3
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On a gesture-computing technique using electromagnetic waves. Zbl 1395.35218
Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng
3
2018
Lens rigidity with partial data in the presence of a magnetic field. Zbl 1464.53055
Zhou, Hanming
3
2018
Tomographic reconstruction methods for decomposing directional components. Zbl 1404.49024
Kongskov, Rasmus Dalgas; Dong, Yiqiu
3
2018
A scaled gradient method for digital tomographic image reconstruction. Zbl 1395.94073
Zhang, Jianjun; Hu, Yunyi; Nagy, James G.
2
2018
Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation. Zbl 1395.35196
Kawamoto, Atsushi
2
2018
Morozov principle for Kullback-Leibler residual term and Poisson noise. Zbl 1398.65119
Sixou, Bruno; Hohweiller, Tom; Ducros, Nicolas
2
2018
Geometric mode decomposition. Zbl 1395.49024
Yu, Siwei; Ma, Jianwei; Osher, Stanley
2
2018
On the transmission eigenvalue problem for the acoustic equation with a negative index of refraction and a practical numerical reconstruction method. Zbl 1401.78010
Li, Tiexiang; Huang, Tsung-Ming; Lin, Wen-Wei; Wang, Jenn-Nan
2
2018
Fluid image registration using a finite volume scheme of the incompressible Navier Stokes equation. Zbl 1408.65060
Alahyane, Mohamed; Hakim, Abdelilah; Laghrib, Amine; Raghay, Said
2
2018
Retinex based on exponent-type total variation scheme. Zbl 1406.80010
Liu, Lu; Pang, Zhi-Feng; Duan, Yuping
2
2018
Stability estimates for a magnetic Schrödinger operator with partial data. Zbl 1403.35329
Potenciano-Machado, Leyter; Ruiz, Alberto
2
2018
Local block operators and TV regularization based image inpainting. Zbl 1408.94702
Wan, Wei; Huang, Haiyang; Liu, Jun
2
2018
ROI reconstruction from truncated cone-beam projections. Zbl 1435.94007
Azencott, Robert; Bodmann, Bernhard G.; Chowdhury, Tasadduk; Labate, Demetrio; Sen, Anando; Vera, Daniel
1
2018
Numerical method for image registration model based on optimal mass transport. Zbl 1397.65222
Chen, Yangang; Wan, Justin W. L.
1
2018
Cloaking for a quasi-linear elliptic partial differential equation. Zbl 1432.35252
Ghosh, Tuhin; Iyer, Karthik
1
2018
Existence and convergence analysis of \(\ell_{0}\) and \(\ell_{2}\) regularizations for limited-angle CT reconstruction. Zbl 1395.90246
Wang, Chengxiang; Zeng, Li; Yu, Wei; Xu, Liwei
1
2018
Uniqueness on recovery of piecewise constant conductivity and inner core with one measurement. Zbl 1395.35075
Fang, Xiaoping; Deng, Youjun
1
2018
An inverse problem for the magnetic Schrödinger operator on Riemannian manifolds from partial boundary data. Zbl 1432.58017
Bhattacharyya, Sombuddha
1
2018
Convergence theorems for the non-local means filter. Zbl 1400.94022
Jin, Qiyu; Grama, Ion; Liu, Quansheng
1
2018
Inverse acoustic scattering using high-order small-inclusion expansion of misfit function. Zbl 1395.35208
Bonnet, Marc
1
2018
Reconstruction of a compact manifold from the scattering data of internal sources. Zbl 1405.53062
Lassas, Matti; Saksala, Teemu; Zhou, Hanming
1
2018
Simultaneous reconstruction and segmentation with the Mumford-Shah functional for electron tomography. Zbl 1408.94590
Shen, Li; Quinto, Eric Todd; Wang, Shiqiang; Jiang, Ming
1
2018
A phaseless inverse scattering problem for the 3-D Helmholtz equation. Zbl 1359.35227
Klibanov, Michael V.
25
2017
Increasing stability for the inverse source scattering problem with multi-frequencies. Zbl 1366.35241
Li, Peijun; Yuan, Ganghua
21
2017
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Cited by 2,980 Authors

44 Uhlmann, Gunther Alberto
28 Hu, Guanghui
28 Salo, Mikko
27 Lassas, Matti
23 Klibanov, Michael V.
21 Haltmeier, Markus
20 Haddar, Houssem
20 Huang, Ting-Zhu
20 Kian, Yavar
19 Oksanen, Lauri
19 Tai, Xuecheng
18 Harrach, Bastian
18 Siltanen, Samuli
18 Zhang, Bo
17 Cakoni, Fioralba
16 Avdonin, Sergeĭ Anatol’evich
16 Nguyen, Loc Hoang
16 Scherzer, Otmar
16 Shen, Zuowei
16 Stefanov, Plamen D.
16 Sun, Jiguang
15 de Hoop, Maarten V.
15 Lu, Shuai
15 Moon, Sunghwan
15 Stuart, Andrew M.
14 Ikehata, Masaru
14 Liu, Hongyu
14 Liu, Xiaodong
14 Park, Won-Kwang
14 Yamamoto, Masahiro
14 Zhao, Xile
13 Bellassoued, Mourad
13 Bourgeois, Laurent
13 Chapko, Roman
13 Guo, Yukun
13 Hofmann, Bernd
13 Kaipio, Jari P.
13 Lesnic, Daniel
13 Monard, François
13 Romanov, Vladimir Gavrilovich
13 Zhang, Haiwen
12 Bal, Guillaume
12 Johansson, B. Tomas
12 Li, Jingzhi
12 Lin, Yi-Hsuan
12 Mathé, Peter
12 Nguyen, Dinh Liem
12 Osher, Stanley Joel
12 Ramlau, Ronny
12 Yan, Guozheng
12 Zeng, Tie Yong
11 Ammari, Habib M.
11 Dong, Bin
11 Huttunen, Janne M. J.
11 Isakov, Victor M.
11 Karageorghis, Andreas
11 Krishnan, Venkateswaran P.
11 Li, Peijun
11 Lui, Lok Ming
11 Quinto, Eric Todd
11 Schönlieb, Carola-Bibiane
11 Shen, Lixin
11 Simon, Barry
11 Wu, Chunlin
11 Zhang, Xiaoqun
11 Zhao, Yue
10 Bao, Gang
10 Boumenir, Amin A.
10 Chen, Ke
10 Dardé, Jérémi
10 Kurylev, Yaroslav V.
10 Mikhaylov, Victor S.
10 Mueller, Jennifer L.
10 Nakamura, Gen
10 Sini, Mourad
10 Tamasan, Alexandru
10 Tzou, Leo
10 Wang, Jenn-Nan
10 Weinmann, Andreas
10 Zou, Jun
9 Assylbekov, Yernat M.
9 Burger, Martin
9 Calvetti, Daniela
9 Duan, Yuping
9 Helin, Tapio
9 Hyvönen, Nuutti
9 Ji, Xia
9 Kaltenbacher, Barbara
9 Kindermann, Stefan
9 Kress, Rainer
9 Li, Qin
9 Ma, Fuming
9 Miranville, Alain M.
9 Ng, Michael Kwok-Po
9 Roininen, Lassi
9 Rundell, William
9 Shu, Chi-Wang
9 Somersalo, Erkki
9 Xu, Liwei
8 Abdulla, Ugur G.
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Cited in 330 Journals

276 Inverse Problems
202 Inverse Problems and Imaging
113 SIAM Journal on Imaging Sciences
75 Journal of Scientific Computing
69 Journal of Mathematical Imaging and Vision
61 Journal of Inverse and Ill-Posed Problems
56 SIAM Journal on Mathematical Analysis
55 Journal of Computational and Applied Mathematics
50 Inverse Problems in Science and Engineering
45 Applicable Analysis
45 Journal of Mathematical Analysis and Applications
44 Computers & Mathematics with Applications
40 SIAM Journal on Applied Mathematics
40 SIAM Journal on Scientific Computing
39 Journal of Computational Physics
38 Journal of Differential Equations
27 Applied Numerical Mathematics
24 Mathematical Problems in Engineering
23 Advances in Computational Mathematics
22 Mathematical Methods in the Applied Sciences
21 Applied Mathematics and Computation
20 Numerische Mathematik
20 SIAM Journal on Numerical Analysis
19 Applied Mathematical Modelling
18 Applied and Computational Harmonic Analysis
17 Communications in Mathematical Physics
17 Mathematics of Computation
17 Communications in Partial Differential Equations
17 SIAM/ASA Journal on Uncertainty Quantification
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 Journal of Functional Analysis
13 Numerical Functional Analysis and Optimization
13 The Journal of Geometric Analysis
13 Numerical Algorithms
12 Journal of Optimization Theory and Applications
12 Applied Mathematics Letters
12 Journal of Mathematical Sciences (New York)
12 Multiscale Modeling & Simulation
11 Computer Methods in Applied Mechanics and Engineering
11 Journal of Mathematical Physics
11 Proceedings of the American Mathematical Society
11 Journal of Integral Equations and Applications
11 The Journal of Fourier Analysis and Applications
10 Mathematische Annalen
10 Computational and Applied Mathematics
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Analysis and Mathematical Physics
9 Wave Motion
9 Advances in Mathematics
9 Computational Optimization and Applications
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Applied Mathematics and Optimization
8 BIT
8 Journal of Approximation Theory
8 Transactions of the American Mathematical Society
8 Linear Algebra and its Applications
8 Engineering Analysis with Boundary Elements
8 Discrete and Continuous Dynamical Systems. Series B
7 Archive for Rational Mechanics and Analysis
7 Journal d’Analyse Mathématique
7 European Journal of Applied Mathematics
7 Calculus of Variations and Partial Differential Equations
7 International Journal of Computer Vision
7 Abstract and Applied Analysis
7 Annales Henri Poincaré
7 Mathematical Control and Related Fields
7 East Asian Journal on Applied Mathematics
6 Acta Mathematicae Applicatae Sinica. English Series
6 Revista Matemática Iberoamericana
6 Journal of the American Mathematical Society
6 Multidimensional Systems and Signal Processing
6 ETNA. Electronic Transactions on Numerical Analysis
6 Journal of Spectral Theory
6 Research in the Mathematical Sciences
5 Information Sciences
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Siberian Mathematical Journal
5 Constructive Approximation
5 International Journal of Computer Mathematics
5 SIAM Review
5 SIAM Journal on Optimization
5 Optimization Methods & Software
5 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Applied Mathematics
5 Communications on Pure and Applied Analysis
5 Mediterranean Journal of Mathematics
5 Complex Variables and Elliptic Equations
5 Electronic Journal of Statistics
5 Mathematical Modelling of Natural Phenomena
5 Discrete and Continuous Dynamical Systems. Series S
5 Analysis & PDE
5 Science China. Mathematics
4 Mathematical Notes
4 Calcolo
4 Duke Mathematical Journal
4 Physica D
4 Journal of Complexity
4 Applications of Mathematics
4 Journal of Elasticity
4 Mathematical Programming. Series A. Series B
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Cited in 53 Fields

1,239 Partial differential equations (35-XX)
1,100 Numerical analysis (65-XX)
436 Information and communication theory, circuits (94-XX)
309 Optics, electromagnetic theory (78-XX)
257 Computer science (68-XX)
226 Calculus of variations and optimal control; optimization (49-XX)
214 Biology and other natural sciences (92-XX)
179 Operator theory (47-XX)
174 Operations research, mathematical programming (90-XX)
157 Statistics (62-XX)
131 Mechanics of deformable solids (74-XX)
129 Integral transforms, operational calculus (44-XX)
122 Fluid mechanics (76-XX)
95 Integral equations (45-XX)
90 Harmonic analysis on Euclidean spaces (42-XX)
85 Differential geometry (53-XX)
76 Ordinary differential equations (34-XX)
72 Global analysis, analysis on manifolds (58-XX)
63 Quantum theory (81-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
54 Probability theory and stochastic processes (60-XX)
44 Functional analysis (46-XX)
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40 Systems theory; control (93-XX)
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29 Dynamical systems and ergodic theory (37-XX)
28 Statistical mechanics, structure of matter (82-XX)
23 Real functions (26-XX)
23 Classical thermodynamics, heat transfer (80-XX)
22 Special functions (33-XX)
17 Combinatorics (05-XX)
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15 Difference and functional equations (39-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Astronomy and astrophysics (85-XX)
9 Convex and discrete geometry (52-XX)
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