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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: https://www.aimsciences.org/ipi
Comments: Indexed cover-to-cover
Documents Indexed: 805 Publications (since 2007)
References Indexed: 468 Publications with 16,170 References.
all top 5

Authors

14 Siltanen, Samuli
13 Osher, Stanley Joel
12 Tai, Xuecheng
11 Bal, Guillaume
10 Cakoni, Fioralba
9 Kaipio, Jari P.
9 Scherzer, Otmar
8 Chan, Raymond Hon-Fu
8 Chen, Yunmei
8 Haddar, Houssem
8 Hyvönen, Nuutti
8 Kaltenbacher, Barbara
8 Lassas, Matti J.
8 Stefanov, Plamen D.
8 Uhlmann, Gunther Alberto
8 Yamamoto, Masahiro
7 Bourgeois, Laurent
7 Chan, Tony Fan-Cheong
7 Hu, Guanghui
7 Ikehata, Masaru
7 Isakov, Victor M.
7 Kolehmainen, Ville
7 Li, Peijun
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 Liu, Hongyu
6 Monard, François
6 Ramlau, Ronny
6 Serov, Valery S.
6 Vese, Luminita A.
6 Wang, Jenn-Nan
6 Zeng, Tie Yong
5 Cai, Jian-Feng
5 Calvetti, Daniela
5 Chen, Ke
5 Grasmair, Markus
5 Guo, Weihong
5 Knudsen, Kim M.
5 Krishnan, Venkateswaran P.
5 Lasanen, Sari
5 Leitão, Antonio
5 Mueller, Jennifer L.
5 Nakamura, Gen
5 Piiroinen, Petteri
5 Quinto, Eric Todd
5 Roininen, Lassi
5 Rundell, William
5 Salo, Mikko
5 Somersalo, Erkki
5 Yang, Jiaqing
5 Zhang, Xiaoqun
5 Zhu, Wei
5 Zou, Jun
4 Arridge, Simon R.
4 Assylbekov, Yernat M.
4 Beretta, Elena
4 Boman, Jan
4 Chapko, Roman
4 Duan, Yuping
4 Garnier, Josselin
4 Guo, Yukun
4 Hamilton, Sarah Jane
4 Huttunen, Janne M. J.
4 Jiang, Daijun
4 Kian, Yavar
4 Kirsch, Andreas
4 Kress, Rainer
4 Kuchment, Peter A.
4 Lai, Ru-Yu
4 Lechleiter, Armin
4 Li, Jia
4 Li, Jingzhi
4 Li, Song
4 Lin, Yi-Hsuan
4 Liu, Jun
4 Lou, Yifei
4 Lui, Lok Ming
4 Monk, Peter B.
4 Neubauer, Andreas
4 Nguyen, Dinh Liem
4 Nguyen, Loc Hoang
4 Nikolova, Mila
4 Päivärinta, Lassi
4 Pang, Zhifeng
4 Piana, Michele
4 Qin, Jing
4 Shen, Zuowei
4 Sincich, Eva
4 Sixou, Bruno
4 Tamasan, Alexandru
4 Tyni, Teemu
4 Yang, Yang
4 Zhang, Bo
4 Zhang, Deyue
3 Albani, Vinicius V. L.
3 Alessandrini, Giovanni
...and 1,212 more Authors
all top 5

Fields

417 Partial differential equations (35-XX)
370 Numerical analysis (65-XX)
159 Information and communication theory, circuits (94-XX)
129 Optics, electromagnetic theory (78-XX)
127 Computer science (68-XX)
89 Biology and other natural sciences (92-XX)
80 Calculus of variations and optimal control; optimization (49-XX)
62 Statistics (62-XX)
57 Integral transforms, operational calculus (44-XX)
54 Operator theory (47-XX)
47 Mechanics of deformable solids (74-XX)
44 Operations research, mathematical programming (90-XX)
36 Differential geometry (53-XX)
32 Integral equations (45-XX)
29 Geophysics (86-XX)
24 Probability theory and stochastic processes (60-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
23 Quantum theory (81-XX)
22 Ordinary differential equations (34-XX)
22 Fluid mechanics (76-XX)
20 Potential theory (31-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Functional analysis (46-XX)
16 Systems theory; control (93-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
10 Functions of a complex variable (30-XX)
9 Dynamical systems and ergodic theory (37-XX)
6 General and overarching topics; collections (00-XX)
6 Combinatorics (05-XX)
6 Real functions (26-XX)
6 Special functions (33-XX)
6 Astronomy and astrophysics (85-XX)
5 Convex and discrete geometry (52-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Difference and functional equations (39-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Mathematics education (97-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of particles and systems (70-XX)
2 History and biography (01-XX)
2 Measure and integration (28-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 Several complex variables and analytic spaces (32-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

612 Publications have been cited 4,690 times in 3,127 Documents Cited by Year
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
72
2007
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
54
2008
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Zbl 1225.80013
Wu, Chunlin; Zhang, Juyong; Tai, Xue-Cheng
51
2011
On uniqueness in the inverse conductivity problem with local data. Zbl 1125.35113
Isakov, Victor
50
2007
Regularized D-bar method for the inverse conductivity problem. Zbl 1184.35314
Knudsen, Kim; Lassas, Matti; Mueller, Jennifer L.; Siltanen, Samuli
49
2009
Equilibrium measures and capacities in spectral theory. Zbl 1149.31004
Simon, Barry
49
2007
Discretization-invariant Bayesian inversion and Besov space priors. Zbl 1191.62046
Lassas, Matti; Saksman, Eero; Siltanen, Samuli
48
2009
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
45
2010
Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography. Zbl 1302.65245
Roininen, Lassi; Huttunen, Janne M. J.; Lasanen, Sari
45
2014
Inverse problems for quantum trees. Zbl 1148.35356
Avdonin, Sergei; Kurasov, Pavel
41
2008
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
41
2009
Shape reconstruction of acoustic obstacles from the modulus of the far field pattern. Zbl 1194.35502
Ivanyshyn, Olha
41
2007
Parallel matrix factorization for low-rank tensor completion. Zbl 1359.15021
Xu, Yangyang; Hao, Ruru; Yin, Wotao; Su, Zhixun
41
2015
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
40
2013
Photo-acoustic inversion in convex domains. Zbl 1244.35080
Natterer, Frank
39
2012
A family of inversion formulas in thermoacoustic tomography. Zbl 1183.92054
Nguyen, Linh Viet
38
2009
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
37
2007
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
36
2007
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
36
2010
Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map. Zbl 1250.58012
Bellassoued, Mourad; Dos Santos Ferreira, David
35
2011
Energy conserving local discontinuous Galerkin methods for wave propagation problems. Zbl 1273.65181
Xing, Yulong; Chou, Ching-Shan; Shu, Chi-Wang
35
2013
On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization. Zbl 1165.47009
Kindermann, Stefan; Neubauer, Andreas
33
2008
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
33
2012
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
32
2007
Two-phase approach for deblurring images corrupted by impulse plus Gaussian noise. Zbl 1154.94306
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila
32
2008
Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005
De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane
30
2013
Localized potentials in electrical impedance tomography. Zbl 1154.35464
Gebauer, Bastian
29
2008
A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078
Cakoni, Fioralba; Haddar, Houssem
28
2007
A phaseless inverse scattering problem for the 3-D Helmholtz equation. Zbl 1359.35227
Klibanov, Michael V.
28
2017
A direct sampling method for inverse scattering using far-field data. Zbl 1273.35319
Li, Jingzhi; Zou, Jun
28
2013
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
28
2013
Inverse diffusion from knowledge of power densities. Zbl 1267.35249
Bal, Guillaume; Bonnetier, Eric; Monard, François; Triki, Faouzi
28
2013
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
26
2019
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
26
2010
The factorization method applied to cracks with impedance boundary conditions. Zbl 1302.35430
Boukari, Yosra; Haddar, Houssem
26
2013
A quasi-reversibility approach to solve the inverse obstacle problem. Zbl 1200.35318
Bourgeois, Laurent; Dardé, Jérémi
25
2010
Non-local regularization of inverse problems. Zbl 1223.68116
Peyré, Gabriel; Bougleux, Sébastien; Cohen, Laurent
25
2011
A Rellich type theorem for discrete Schrödinger operators. Zbl 1322.47033
Isozaki, Hiroshi; Morioka, Hisashi
25
2014
Coordinate descent optimization for \(l^{1}\) minimization with application to compressed sensing; a greedy algorithm. Zbl 1188.90196
Li, Yingying; Osher, Stanley
24
2009
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
24
2013
Increasing stability for the inverse source scattering problem with multi-frequencies. Zbl 1366.35241
Li, Peijun; Yuan, Ganghua
23
2017
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
23
2017
Inverse problems for Einstein manifolds. Zbl 1229.58025
Guillarmou, Colin; Sá Barreto, Antônio
23
2009
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
23
2007
Non-Gaussian statistical inverse problems. Part I: Posterior distributions. Zbl 1263.62041
Lasanen, Sari
23
2012
Determining nonsmooth first order terms from partial boundary measurements. Zbl 1122.35152
Knudsen, Kim; Salo, Mikko
22
2007
Positive definiteness of diffusion kurtosis imaging. Zbl 1242.90164
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun
21
2012
Inverse problems with partial data in a slab. Zbl 1200.35331
Li, Xiaosheng; Uhlmann, Gunther
21
2010
Stability estimates in stationary inverse transport. Zbl 1168.35446
Bal, Guillaume; Jollivet, Alexandre
21
2008
A decomposition method for an interior inverse scattering problem. Zbl 1273.78012
Zeng, Fang; Suarez, Pablo; Sun, Jiguang
21
2013
Iterative time-reversal control for inverse problems. Zbl 1141.35468
Bingham, Kenrick; Kurylev, Yaroslav; Lassas, Matti; Siltanen, Samuli
20
2008
Stability of Calderón’s inverse conductivity problem in the plane for discontinuous conductivities. Zbl 1202.35346
Clop, Albert; Faraco, Daniel; Ruiz, Alberto
20
2010
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
20
2007
Restoration of manifold-valued images by half-quadratic minimization. Zbl 1348.65097
Bergmann, Ronny; Chan, Raymond; Hielscher, Ralf; Persch, Johannes; Steidl, Gabriele
19
2016
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
19
2016
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
Daon, Yair; Stadler, Georg
19
2018
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
19
2019
Simultaneous determination of the diffusion and absorption coefficient from boundary data. Zbl 1261.35153
Harrach, Bastian
19
2012
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
18
2019
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.
18
2009
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
Non-Gaussian statistical inverse problems. II: Posterior convergence for approximated unknowns. Zbl 1263.62042
Lasanen, Sari
18
2012
The weighted Doppler transform. Zbl 1198.44001
Holman, Sean; Stefanov, Plamen
17
2010
A nonstandard smoothing in reconstruction of apparent diffusion coefficient profiles from diffusion weighted images. Zbl 1391.94063
Chen, Yunmei; Guo, Weihong; Zeng, Qingguo; Liu, Yijun
17
2008
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071
Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio
17
2010
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
17
2010
Anisotropic total variation regularized \(L^1\) approximation and denoising/deblurring of 2D bar codes. Zbl 1226.49034
Choksi, Rustum; van Gennip, Yves; Oberman, Adam
17
2011
A TV Bregman iterative model of Retinex theory. Zbl 1261.68153
Ma, Wenye; Osher, Stanley
17
2012
A study of the one dimensional total generalised variation regularisation problem. Zbl 1336.49044
Papafitsoros, Konstantinos; Bredies, Kristian
17
2015
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
17
2015
Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements. Zbl 1304.35762
Beretta, Elena; Francini, Elisa; Vessella, Sergio
17
2014
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
16
2016
Inverse transport with isotropic sources and angularly averaged measurements. Zbl 1171.65104
Bal, Guillaume; Langmore, Ian; Monard, François
16
2008
Scattering problems for perturbations of the multidimensional biharmonic operator. Zbl 06936142
Tyni, Teemu; Serov, Valery
16
2018
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
16
2019
Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 06398723
Cherfils, Laurence; Fakih, Hussein; Miranville, Alain
16
2015
The factorization method is independent of transmission eigenvalues. Zbl 1184.78020
Lechleiter, Armin
16
2009
A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092
Burkard, Corinna; Potthast, Roland
16
2009
A support theorem for the geodesic ray transform of symmetric tensor fields. Zbl 1192.53071
Krishnan, Venkateswaran P.; Stefanov, Plamen
16
2009
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
16
2014
Near-field imaging of the surface displacement on an infinite ground plane. Zbl 1268.78016
Bao, Gang; Lin, Junshan
16
2013
Stability of the determination of a coefficient for wave equations in an infinite waveguide. Zbl 1432.35256
Kian, Yavar
16
2014
Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems. Zbl 06637594
Dardé, Jérémi
15
2016
Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors. Zbl 1368.65085
Sullivan, T. J.
15
2017
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
15
2014
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
15
2011
Inverse obstacle scattering with limited-aperture data. Zbl 1241.65094
Ikehata, Masaru; Niemi, Esa; Siltanen, Samuli
15
2012
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
15
2019
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A.
15
2010
Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise. Zbl 1160.65023
Hohage, Thorsten; Pricop, Mihaela
15
2008
Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166
Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena
15
2010
Sampling type methods for an inverse waveguide problem. Zbl 1263.74023
Monk, Peter; Selgas, Virginia
15
2012
Inverse acoustic obstacle scattering problems using multifrequency measurements. Zbl 1261.35154
Sini, Mourad; Nguyen Trung Thành
15
2012
Efficient tensor tomography in Fan-beam coordinates. Zbl 1348.35324
Monard, François
14
2016
Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems. Zbl 1417.78003
Weidling, Frederic; Hohage, Thorsten
14
2017
An inverse fluid–solid interaction problem. Zbl 1183.65138
Monk, Peter; Selgas, Virginia
14
2009
A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid. Zbl 1266.49076
Caubet, Fabien; Dambrine, Marc; Kateb, Djalil; Timimoun, Chahnaz Zakia
14
2013
Identification of obstacles using only the scattered \(P\)-waves or the scattered \(S\)-waves. Zbl 1238.35184
Gintides, Drossos; Sini, Mourad
13
2012
Reconstruction of obstacles immersed in an incompressible fluid. Zbl 1129.35078
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan
13
2007
A non-convex denoising model for impulse and Gaussian noise mixture removing using bi-level parameter identification. Zbl 1492.94017
Afraites, Lekbir; Hadri, Aissam; Laghrib, Amine; Nachaoui, Mourad
2
2022
Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations. Zbl 1484.35411
Lai, Ru-Yu; Ohm, Laurel
1
2022
PCA reduced Gaussian mixture models with applications in superresolution. Zbl 1493.62308
Hertrich, Johannes; Nguyen, Dang-Phuong-Lan; Aujol, Jean-Francois; Bernard, Dominique; Berthoumieu, Yannick; Saadaldin, Abdellatif; Steidl, Gabriele
1
2022
Partial inversion of the 2D attenuated \(X\)-ray transform with data on an arc. Zbl 1493.44003
Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru
1
2022
On new surface-localized transmission eigenmodes. Zbl 1487.35266
Deng, Youjun; Jiang, Yan; Liu, Hongyu; Zhang, Kai
1
2022
An inverse problem for a fractional diffusion equation with fractional power type nonlinearities. Zbl 1487.35450
Li, Li
1
2022
A new approach to the inverse discrete transmission eigenvalue problem. Zbl 1495.35207
Bondarenko, Natalia P.; Yurko, Vjacheslav A.
1
2022
Inverse boundary value problems for polyharmonic operators with non-smooth coefficients. Zbl 1495.35208
Brown, R. M.; Gauthier, L. D.
1
2022
Quasiconformal model with CNN features for large deformation image registration. Zbl 1492.65051
Law, Ho; Choi, Gary P. T.; Lam, Ka Chun; Lui, Lok Ming
1
2022
Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems. Zbl 1471.35327
Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse
6
2021
Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training. Zbl 07354120
Wang, Bao; Lin, Alex; Yin, Penghang; Zhu, Wei; Bertozzi, Andrea L.; Osher, Stanley J.
3
2021
A new variational approach based on level-set function for convex hull problem with outliers. Zbl 07365413
Li, Lingfeng; Luo, Shousheng; Tai, Xue-Cheng; Yang, Jiang
3
2021
Mathematical analysis of the acoustic imaging modality using bubbles as contrast agents at nearly resonating frequencies. Zbl 1467.35345
Dabrowski, Alexander; Ghandriche, Ahcene; Sini, Mourad
3
2021
A regularization operator for source identification for elliptic PDEs. Zbl 1471.35329
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik
2
2021
Preconditioned Douglas-Rachford type primal-dual method for solving composite monotone inclusion problems with applications. Zbl 1476.90248
Yang, Yixuan; Tang, Yuchao; Wen, Meng; Zeng, Tieyong
2
2021
Two-dimensional inverse scattering for quasi-linear biharmonic operator. Zbl 1473.35293
Harju, Markus; Kultima, Jaakko; Serov, Valery; Tyni, Teemu
2
2021
3D electrical impedance tomography reconstructions from simulated electrode data using direct inversion \(\mathbf{t}^{\mathbf{exp}}\) and Calderón methods. Zbl 1481.65211
Hamilton, Sarah J.; Isaacson, David; Kolehmainen, Ville; Muller, Peter A.; Toivainen, Jussi; Bray, Patrick F.
2
2021
A linear sampling method for inverse acoustic scattering by a locally rough interface. Zbl 1472.35457
Li, Jianliang; Yang, Jiaqing; Zhang, Bo
2
2021
Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems. Zbl 07365409
Zhang, Ye; Hofmann, Bernd
2
2021
Bilinear constraint based ADMM for mixed Poisson-Gaussian noise removal. Zbl 1471.65060
Zhang, Jie; Duan, Yuping; Lu, Yue; Ng, Michael K.; Chang, Huibin
2
2021
Duality between range and no-response tests and its application for inverse problems. Zbl 1472.31010
Lin, Yi-Hsuan; Nakamura, Gen; Potthast, Roland; Wang, Haibing
2
2021
Some application examples of minimization based formulations of inverse problems and their regularization. Zbl 1473.65068
Huynh, Kha Van; Kaltenbacher, Barbara
2
2021
Global convergence and geometric characterization of slow to fast weight evolution in neural network training for classifying linearly non-separable data. Zbl 1469.90113
Long, Ziang; Yin, Penghang; Xin, Jack
1
2021
Stochastic greedy algorithms for multiple measurement vectors. Zbl 07354118
Qin, Jing; Li, Shuang; Needell, Deanna; Ma, Anna; Grotheer, Rachel; Huang, Chenxi; Durgin, Natalie
1
2021
Bragg scattering tomography. Zbl 1480.44005
Webber, James W.; Miller, Eric L.
1
2021
Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification. Zbl 1473.35159
Cogar, Samuel
1
2021
Inbetweening auto-animation via Fokker-Planck dynamics and thresholding. Zbl 07393986
Gao, Yuan; Jin, Guangzhen; Liu, Jian-Guo
1
2021
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
1
2021
Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion. Zbl 1473.35649
Chen, De-han; Jiang, Daijun
1
2021
A note on transmission eigenvalues in electromagnetic scattering theory. Zbl 1479.35849
Cakoni, Fioralba; Meng, Shixu; Xiao, Jingni
1
2021
Phase retrieval from Fourier measurements with masks. Zbl 1472.94009
Li, Huiping; Li, Song
1
2021
Boundary determination of electromagnetic and Lamé parameters with corrupted data. Zbl 1472.35449
Caro, Pedro; Lai, Ru-Yu; Lin, Yi-Hsuan; Zhou, Ting
1
2021
Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption. Zbl 1467.35350
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai
1
2021
Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex. Zbl 1471.34057
Yang, Lu; Wei, Guangsheng; Pivovarchik, Vyacheslav
1
2021
The interior transmission eigenvalue problem for elastic waves in media with obstacles. Zbl 1467.35225
Cakoni, Fioralba; Kow, Pu-Zhao; Wang, Jenn-Nan
1
2021
Limited-angle CT reconstruction with generalized shrinkage operators as regularizers. Zbl 1481.65092
Deng, Xiaojuan; Zhao, Xing; Li, Mengfei; Li, Hongwei
1
2021
Image retinex based on the nonconvex TV-type regularization. Zbl 1480.92024
Wang, Yuan; Pang, Zhi-Feng; Duan, Yuping; Chen, Ke
1
2021
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
10
2020
Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017
Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu
8
2020
Poisson image denoising based on fractional-order total variation. Zbl 1455.94013
Chowdhury, Mujibur Rahman; Zhang, Jun; Qin, Jing; Lou, Yifei
7
2020
Interactions of semilinear progressing waves in two or more space dimensions. Zbl 1464.35003
Barreto, Antônio Sá
5
2020
Diffusion generated methods for denoising target-valued images. Zbl 1437.65126
Osting, Braxton; Wang, Dong
5
2020
Hölder-stable recovery of time-dependent electromagnetic potentials appearing in a dynamical anisotropic Schrödinger equation. Zbl 1458.35478
Kian, Yavar; Tetlow, Alexander
4
2020
Regularization of inverse problems via box constrained minimization. Zbl 07208028
Hungerländer, Philipp; Kaltenbacher, Barbara; Rendl, Franz
3
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
3
2020
Nonlocal regularized CNN for image segmentation. Zbl 1451.68307
Jia, Fan; Tai, Xue-Cheng; Liu, Jun
3
2020
A partial data inverse problem for the convection-diffusion equation. Zbl 1431.35247
Sahoo, Suman Kumar; Vashisth, Manmohan
2
2020
Nonlocal TV-Gaussian prior for Bayesian inverse problems with applications to limited CT reconstruction. Zbl 1448.62108
Lv, Didi; Zhou, Qingping; Choi, Jae Kyu; Li, Jinglai; Zhang, Xiaoqun
2
2020
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
2
2020
The linear sampling method for Kirchhoff-Love infinite plates. Zbl 1435.35415
Bourgeois, Laurent; Recoquillay, Arnaud
2
2020
\( \chi^2\) test for total variation regularization parameter selection. Zbl 1448.65028
Mead, J.
2
2020
Uniqueness and stability for the recovery of a time-dependent source in elastodynamics. Zbl 1447.65062
Hu, Guanghui; Kian, Yavar
2
2020
Statistical characterization of scattering delay in synthetic aperture radar imaging. Zbl 07208031
Gilman, Mikhail; Tsynkov, Semyon
2
2020
Joint reconstruction in low dose multi-energy CT. Zbl 1444.92061
Toivanen, Jussi; Meaney, Alexander; Siltanen, Samuli; Kolehmainen, Ville
2
2020
Reconstruction of the derivative of the conductivity at the boundary. Zbl 1448.35580
Ponce-Vanegas, Felipe
2
2020
Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data. Zbl 1447.35389
Smirnov, Alexey; Klibanov, Michael; Nguyen, Loc
2
2020
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. Zbl 1447.35381
Kaltenbacher, Barbara; Rundell, William
2
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
2
2020
Optimal recovery of a radiating source with multiple frequencies along one line. Zbl 1471.44003
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
Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell’s equations. Zbl 1479.65019
Darbas, Marion; Heleine, Jérémy; Lohrengel, Stephanie
1
2020
A content-adaptive unstructured grid based integral equation method with the TV regularization for SPECT reconstruction. Zbl 1431.94008
Chen, Yun; Huang, Jiasheng; Li, Si; Lu, Yao; Xu, Yuesheng
1
2020
On range condition of the tensor x-ray transform in \(\mathbb R^n\). Zbl 1451.44003
Denisiuk, Aleksander
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
A nonconvex truncated regularization and box-constrained model for CT reconstruction. Zbl 1460.92114
Wang, Weina; Wu, Chunlin; Gao, Yiming
1
2020
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
26
2019
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
19
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
18
2019
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
16
2019
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
15
2019
Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data. Zbl 1423.35454
Rüland, Angkana; Sincich, Eva
12
2019
Momentum ray transforms. Zbl 1426.44002
Krishnan, Venkateswaran P.; Manna, Ramesh; Sahoo, Suman Kumar; Sharafutdinov, Vladimir A.
12
2019
An inverse obstacle problem for the wave equation in a finite time domain. Zbl 1410.35283
Bourgeois, Laurent; Ponomarev, Dmitry; Dardé, Jérémi
11
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.
10
2019
Microlocal analysis of a spindle transform. Zbl 1411.35019
Webber, James W.; Holman, Sean
9
2019
Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385
Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu
7
2019
Inverse obstacle scattering for elastic waves in three dimensions. Zbl 1435.74045
Li, Peijun; Yuan, Xiaokai
7
2019
A partial inverse problem for the Sturm-Liouville operator on the lasso-graph. Zbl 1410.34066
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna
7
2019
Recovering two coefficients in an elliptic equation via phaseless information. Zbl 1407.35229
Romanov, Vladimir G.; Yamamoto, Masahiro
7
2019
On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions. Zbl 1423.35447
Isakov, Victor
6
2019
Determining rough first order perturbations of the polyharmonic operator. Zbl 1423.35433
Assylbekov, Yernat; Iyer, Karthik
6
2019
Travel time tomography with formally determined incomplete data in 3D. Zbl 1427.35362
Klibanov, Michael V.
6
2019
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
5
2019
Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation. Zbl 1418.35380
Korpela, Jussi; Lassas, Matti; Oksanen, Lauri
4
2019
Inverse random source problem for biharmonic equation in two dimensions. Zbl 1471.45013
Gong, Yuxuan; Xu, Xiang
4
2019
Dynamic inverse problem for Jacobi matrices. Zbl 1418.35382
Mikhaylov, Alexandr; Mikhaylov, Victor
3
2019
Causal holography in application to the inverse scattering problems. Zbl 1415.37043
Katz, Gabriel
3
2019
A parallel domain decomposition algorithm for large scale image denoising. Zbl 1427.65401
Chen, Rongliang; Huang, Jizu; Cai, Xiao-Chuan
3
2019
Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line. Zbl 1472.34151
Tyni, Teemu; Serov, Valery
3
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
3
2019
Edge-adaptive \( \ell_2\) regularization image reconstruction from non-uniform Fourier data. Zbl 1440.94002
Churchill, Victor; Archibald, Rick; Gelb, Anne
2
2019
Integral equations for biharmonic data completion. Zbl 1447.35377
Chapko, Roman; Johansson, B. Tomas
2
2019
Kullback-Leibler residual and regularization for inverse problems with noisy data and noisy operator. Zbl 07114763
Sixou, Bruno; Mory, Cyril
2
2019
Inverse problems for the heat equation with memory. Zbl 1407.45006
Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min
2
2019
Nonconvex TGV regularization model for multiplicative noise removal with spatially varying parameters. Zbl 1491.94009
Na, Hanwool; Kang, Myeongmin; Jung, Miyoun; Kang, Myungjoo
2
2019
Note on Calderón’s inverse problem for measurable conductivities. Zbl 1407.35230
Santacesaria, Matteo
2
2019
Incorporating structural prior information and sparsity into EIT using parallel level sets. Zbl 1410.65433
Kolehmainen, Ville; Ehrhardt, Matthias J.; Arridge, Simon R.
2
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
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Cited by 3,716 Authors

49 Uhlmann, Gunther Alberto
34 Lassas, Matti J.
33 Salo, Mikko
32 Hu, Guanghui
28 Li, Peijun
27 Klibanov, Michael V.
24 Huang, Ting-Zhu
24 Kian, Yavar
23 Haltmeier, Markus
23 Tai, Xuecheng
23 Zhang, Bo
22 Haddar, Houssem
22 Harrach, Bastian
22 Oksanen, Lauri
20 Cakoni, Fioralba
20 Siltanen, Samuli
20 Zhao, Xile
19 Avdonin, Sergeĭ Anatol’evich
19 Liu, Hongyu
19 Nguyen, Loc Hoang
19 Stefanov, Plamen D.
19 Yan, Guozheng
18 Bellassoued, Mourad
18 de Hoop, Maarten V.
18 Ng, Michael Kwok-Po
18 Park, Won-Kwang
18 Sun, Jiguang
18 Yamamoto, Masahiro
17 Dong, Bin
17 Lin, Yi-Hsuan
17 Scherzer, Otmar
17 Zeng, Tie Yong
16 Chapko, Roman
16 Johansson, B. Tomas
16 Lesnic, Daniel
16 Liu, Xiaodong
16 Lu, Shuai
16 Moon, Sunghwan
16 Nguyen, Dinh Liem
16 Romanov, Vladimir Gavrilovich
16 Shen, Zuowei
16 Stuart, Andrew M.
15 Chen, Ke
15 Isakov, Victor M.
15 Kaipio, Jari P.
15 Monard, François
15 Osher, Stanley Joel
15 Wu, Chunlin
14 Bao, Gang
14 Bourgeois, Laurent
14 Guo, Yukun
14 Hofmann, Bernd
14 Hyvönen, Nuutti
14 Ikehata, Masaru
14 Li, Jingzhi
14 Lui, Lok Ming
14 Schönlieb, Carola-Bibiane
14 Zou, Jun
13 Bal, Guillaume
13 Boumenir, Amin A.
13 Kaltenbacher, Barbara
13 Krishnan, Venkateswaran P.
13 Quinto, Eric Todd
13 Ramlau, Ronny
13 Yang, Yang
13 Zhang, Haiwen
13 Zhao, Yue
12 Dardé, Jérémi
12 Duan, Yuping
12 Karageorghis, Andreas
12 Lai, Ru-Yu
12 Mathé, Peter
12 Simon, Barry
12 Sini, Mourad
12 Yang, Chuanfu
12 Yang, Jiaqing
11 Ammari, Habib M.
11 Ghattas, Omar N.
11 Han, Bo
11 Huttunen, Janne M. J.
11 Ilmavirta, Joonas
11 Kurylëv, Yaroslav Vadimovich
11 Li, Jianliang
11 Nakamura, Gen
11 Shen, Lixin
11 Tamasan, Alexandru
11 Tzou, Leo
11 Wang, Jenn-Nan
11 Wu, Tingting
11 Xu, Liwei
11 Zhang, Xiaoqun
11 Zhu, Wei
10 Calvetti, Daniela
10 Chang, Huibin
10 Helin, Tapio
10 Ji, Xia
10 Kindermann, Stefan
10 Kolehmainen, Ville
10 Li, Qin
10 Ma, Fuming
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Cited in 373 Journals

296 Inverse Problems
245 Inverse Problems and Imaging
155 SIAM Journal on Imaging Sciences
94 Journal of Scientific Computing
76 Journal of Mathematical Imaging and Vision
75 Journal of Inverse and Ill-Posed Problems
65 SIAM Journal on Mathematical Analysis
63 Journal of Computational and Applied Mathematics
60 Applicable Analysis
60 Journal of Computational Physics
60 Inverse Problems in Science and Engineering
56 Journal of Mathematical Analysis and Applications
50 Computers & Mathematics with Applications
48 SIAM Journal on Applied Mathematics
46 SIAM Journal on Scientific Computing
44 Journal of Differential Equations
33 Applied Mathematics and Computation
28 Applied Numerical Mathematics
25 Applied Mathematical Modelling
25 Advances in Computational Mathematics
24 Mathematical Problems in Engineering
23 SIAM Journal on Numerical Analysis
22 Mathematical Methods in the Applied Sciences
22 SIAM/ASA Journal on Uncertainty Quantification
21 Mathematics of Computation
21 Numerische Mathematik
21 Applied and Computational Harmonic Analysis
20 Computational and Applied Mathematics
18 Communications in Mathematical Physics
18 Computer Methods in Applied Mechanics and Engineering
17 Numerical Functional Analysis and Optimization
17 Communications in Partial Differential Equations
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Journal of Functional Analysis
16 Numerical Algorithms
15 Journal of Optimization Theory and Applications
15 The Journal of Geometric Analysis
13 Journal of Mathematical Physics
13 Applied Mathematics Letters
13 Multiscale Modeling & Simulation
13 Research in the Mathematical Sciences
12 Proceedings of the American Mathematical Society
12 International Journal of Computer Mathematics
12 Computational Optimization and Applications
12 Journal of Mathematical Sciences (New York)
12 The Journal of Fourier Analysis and Applications
12 Boundary Value Problems
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Discrete and Continuous Dynamical Systems. Series S
11 Wave Motion
11 Advances in Mathematics
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11 Mathematische Annalen
11 Journal of Integral Equations and Applications
11 Linear Algebra and its Applications
11 International Journal of Computer Vision
11 ETNA. Electronic Transactions on Numerical Analysis
11 Discrete and Continuous Dynamical Systems. Series B
11 Communications in Computational Physics
10 Journal of Approximation Theory
10 Transactions of the American Mathematical Society
10 European Journal of Applied Mathematics
10 Calculus of Variations and Partial Differential Equations
10 Analysis and Mathematical Physics
10 East Asian Journal on Applied Mathematics
9 Archive for Rational Mechanics and Analysis
9 BIT
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Engineering Analysis with Boundary Elements
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Communications on Pure and Applied Analysis
9 Journal of Spectral Theory
9 Mathematical Control and Related Fields
8 Annales Henri Poincaré
8 Analysis and Applications (Singapore)
8 Analysis & PDE
8 Advances in Applied Mathematics and Mechanics
7 Journal d’Analyse Mathématique
7 Calcolo
7 Multidimensional Systems and Signal Processing
7 SIAM Journal on Optimization
7 Abstract and Applied Analysis
7 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
7 Communications in Nonlinear Science and Numerical Simulation
7 Computational Methods in Applied Mathematics
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Mediterranean Journal of Mathematics
7 Electronic Research Archive
6 Acta Mathematicae Applicatae Sinica. English Series
6 Revista Matemática Iberoamericana
6 Journal of the American Mathematical Society
6 Applications of Mathematics
6 Doklady Mathematics
6 Optimization Methods & Software
6 Journal of Applied Mathematics
6 Electronic Journal of Statistics
6 Statistics and Computing
6 AIMS Mathematics
5 Journal of the Franklin Institute
5 Information Sciences
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