## 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/journal/1930-8337http://aimsciences.org/journal/1930-8337 Comments: Indexed cover-to-cover
 Documents Indexed: 776 Publications (since 2007) References Indexed: 439 Publications with 15,110 References.
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### Latest Issues

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### 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 Kaltenbacher, Barbara 8 Lassas, Matti J. 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 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 Vese, Luminita A. 6 Wang, Jenn-Nan 6 Yamamoto, Masahiro 6 Zeng, Tie Yong 5 Cai, Jian-Feng 5 Calvetti, Daniela 5 Chen, Ke 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 Roininen, Lassi 5 Rundell, William 5 Salo, Mikko 5 Serov, Valery S. 5 Somersalo, Erkki 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 Hamilton, Sarah Jane 4 Huttunen, Janne M. J. 4 Jiang, Daijun 4 Kian, Yavar 4 Kirsch, Andreas 4 Knudsen, Kim M. 4 Kress, Rainer 4 Krishnan, Venkateswaran P. 4 Kuchment, Peter A. 4 Lai, Ru-Yu 4 Lechleiter, Armin 4 Li, Jingzhi 4 Li, Song 4 Lin, Yi-Hsuan 4 Lou, Yifei 4 Monk, Peter B. 4 Neubauer, Andreas 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 3 Albani, Vinicius V. L. 3 Alessandrini, Giovanni 3 Alsaker, Melody 3 Bertozzi, Andrea Louise 3 Bonnetier, Eric 3 Borcea, Liliana 3 Bresson, Xavier 3 Bui-Thanh, Tan 3 Burger, Martin 3 Caro, Pedro ...and 1,154 more Authors
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### Fields

 395 Partial differential equations (35-XX) 354 Numerical analysis (65-XX) 151 Information and communication theory, circuits (94-XX) 123 Computer science (68-XX) 122 Optics, electromagnetic theory (78-XX) 86 Biology and other natural sciences (92-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 60 Statistics (62-XX) 53 Integral transforms, operational calculus (44-XX) 52 Operator theory (47-XX) 45 Mechanics of deformable solids (74-XX) 43 Operations research, mathematical programming (90-XX) 35 Differential geometry (53-XX) 31 Integral equations (45-XX) 28 Geophysics (86-XX) 23 Probability theory and stochastic processes (60-XX) 23 Quantum theory (81-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 21 Fluid mechanics (76-XX) 20 Potential theory (31-XX) 20 Ordinary differential equations (34-XX) 19 Global analysis, analysis on manifolds (58-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Functional analysis (46-XX) 14 Systems theory; control (93-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 Astronomy and astrophysics (85-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Mathematics education (97-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Difference and functional equations (39-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)

### Citations contained in zbMATH Open

578 Publications have been cited 4,246 times in 2,850 Documents Cited by Year
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2007
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
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2008
Regularized D-bar method for the inverse conductivity problem. Zbl 1184.35314
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2009
On uniqueness in the inverse conductivity problem with local data. Zbl 1125.35113
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2007
Discretization-invariant Bayesian inversion and Besov space priors. Zbl 1191.62046
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2009
Equilibrium measures and capacities in spectral theory. Zbl 1149.31004
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2007
Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography. Zbl 1302.65245
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2014
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Zbl 1225.80013
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2011
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
2010
Inverse problems for quantum trees. Zbl 1148.35356
Avdonin, Sergei; Kurasov, Pavel
2008
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
2009
Shape reconstruction of acoustic obstacles from the modulus of the far field pattern. Zbl 1194.35502
Ivanyshyn, Olha
2007
Photo-acoustic inversion in convex domains. Zbl 1244.35080
Natterer, Frank
2012
A family of inversion formulas in thermoacoustic tomography. Zbl 1183.92054
Nguyen, Linh Viet
2009
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
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2007
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
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2007
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
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2013
Parallel matrix factorization for low-rank tensor completion. Zbl 1359.15021
Xu, Yangyang; Hao, Ruru; Yin, Wotao; Su, Zhixun
2015
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
2010
Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map. Zbl 1250.58012
Bellassoued, Mourad; Dos Santos Ferreira, David
2011
On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization. Zbl 1165.47009
Kindermann, Stefan; Neubauer, Andreas
2008
Energy conserving local discontinuous Galerkin methods for wave propagation problems. Zbl 1273.65181
Xing, Yulong; Chou, Ching-Shan; Shu, Chi-Wang
2013
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
2007
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
2012
Two-phase approach for deblurring images corrupted by impulse plus Gaussian noise. Zbl 1154.94306
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila
2008
Inverse diffusion from knowledge of power densities. Zbl 1267.35249
Bal, Guillaume; Bonnetier, Eric; Monard, François; Triki, Faouzi
2013
A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078
2007
Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005
De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane
2013
A phaseless inverse scattering problem for the 3-D Helmholtz equation. Zbl 1359.35227
Klibanov, Michael V.
2017
A direct sampling method for inverse scattering using far-field data. Zbl 1273.35319
Li, Jingzhi; Zou, Jun
2013
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
2013
Localized potentials in electrical impedance tomography. Zbl 1154.35464
Gebauer, Bastian
2008
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
2010
A quasi-reversibility approach to solve the inverse obstacle problem. Zbl 1200.35318
Bourgeois, Laurent; Dardé, Jérémi
2010
Determining nonsmooth first order terms from partial boundary measurements. Zbl 1122.35152
Knudsen, Kim; Salo, Mikko
2007
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
2007
A Rellich type theorem for discrete Schrödinger operators. Zbl 1322.47033
Isozaki, Hiroshi; Morioka, Hisashi
2014
Non-local regularization of inverse problems. Zbl 1223.68116
Peyré, Gabriel; Bougleux, Sébastien; Cohen, Laurent
2011
Non-Gaussian statistical inverse problems. Part I: Posterior distributions. Zbl 1263.62041
Lasanen, Sari
2012
The factorization method applied to cracks with impedance boundary conditions. Zbl 1302.35430
2013
Coordinate descent optimization for $$l^{1}$$ minimization with application to compressed sensing; a greedy algorithm. Zbl 1188.90196
Li, Yingying; Osher, Stanley
2009
Increasing stability for the inverse source scattering problem with multi-frequencies. Zbl 1366.35241
Li, Peijun; Yuan, Ganghua
2017
Inverse problems for Einstein manifolds. Zbl 1229.58025
Guillarmou, Colin; Sá Barreto, Antônio
2009
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
2017
Inverse problems with partial data in a slab. Zbl 1200.35331
Li, Xiaosheng; Uhlmann, Gunther
2010
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
2007
Positive definiteness of diffusion kurtosis imaging. Zbl 1242.90164
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun
2012
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
2013
Stability estimates in stationary inverse transport. Zbl 1168.35446
Bal, Guillaume; Jollivet, Alexandre
2008
Iterative time-reversal control for inverse problems. Zbl 1141.35468
Bingham, Kenrick; Kurylev, Yaroslav; Lassas, Matti; Siltanen, Samuli
2008
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
2018
Stability of Calderón’s inverse conductivity problem in the plane for discontinuous conductivities. Zbl 1202.35346
Clop, Albert; Faraco, Daniel; Ruiz, Alberto
2010
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.
2007
A decomposition method for an interior inverse scattering problem. Zbl 1273.78012
Zeng, Fang; Suarez, Pablo; Sun, Jiguang
2013
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
2019
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
2019
The weighted Doppler transform. Zbl 1198.44001
Holman, Sean; Stefanov, Plamen
2010
Restoration of manifold-valued images by half-quadratic minimization. Zbl 1348.65097
Bergmann, Ronny; Chan, Raymond; Hielscher, Ralf; Persch, Johannes; Steidl, Gabriele
2016
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
2016
Non-Gaussian statistical inverse problems. II: Posterior convergence for approximated unknowns. Zbl 1263.62042
Lasanen, Sari
2012
Simultaneous determination of the diffusion and absorption coefficient from boundary data. Zbl 1261.35153
Harrach, Bastian
2012
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.
2009
Anisotropic total variation regularized $$L^1$$ approximation and denoising/deblurring of 2D bar codes. Zbl 1226.49034
Choksi, Rustum; van Gennip, Yves; Oberman, Adam
2011
The “exterior approach” to solve the inverse obstacle problem for the Stokes system. Zbl 1284.35009
Bourgeois, Laurent; Dardé, Jérémi
2014
A TV Bregman iterative model of Retinex theory. Zbl 1261.68153
Ma, Wenye; Osher, Stanley
2012
Detecting small low emission radiating sources. Zbl 1266.82083
Allmaras, Moritz; Darrow, David; Hristova, Yulia; Kanschat, Guido; Kuchment, Peter
2013
Inverse transport with isotropic sources and angularly averaged measurements. Zbl 1171.65104
Bal, Guillaume; Langmore, Ian; Monard, François
2008
A support theorem for the geodesic ray transform of symmetric tensor fields. Zbl 1192.53071
Krishnan, Venkateswaran P.; Stefanov, Plamen
2009
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
2015
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A.
2010
Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems. Zbl 06637594
Dardé, Jérémi
2016
Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements. Zbl 1304.35762
Beretta, Elena; Francini, Elisa; Vessella, Sergio
2014
Stability of the determination of a coefficient for wave equations in an infinite waveguide. Zbl 1432.35256
Kian, Yavar
2014
Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 06398723
Cherfils, Laurence; Fakih, Hussein; Miranville, Alain
2015
Sampling type methods for an inverse waveguide problem. Zbl 1263.74023
Monk, Peter; Selgas, Virginia
2012
The factorization method is independent of transmission eigenvalues. Zbl 1184.78020
Lechleiter, Armin
2009
A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092
Burkard, Corinna; Potthast, Roland
2009
A study of the one dimensional total generalised variation regularisation problem. Zbl 1336.49044
Papafitsoros, Konstantinos; Bredies, Kristian
2015
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071
Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio
2010
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
2010
Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166
Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena
2010
Efficient tensor tomography in Fan-beam coordinates. Zbl 1348.35324
Monard, François
2016
Inverse acoustic obstacle scattering problems using multifrequency measurements. Zbl 1261.35154
2012
Near-field imaging of the surface displacement on an infinite ground plane. Zbl 1268.78016
Bao, Gang; Lin, Junshan
2013
Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise. Zbl 1160.65023
Hohage, Thorsten; Pricop, Mihaela
2008
Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors. Zbl 1368.65085
Sullivan, T. J.
2017
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
2019
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
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
2016
Near field sampling type methods for the inverse fluid-solid interaction problem. Zbl 1408.74026
Monk, Peter; Selgas, Virginia
2011
Inverse diffusion problems with redundant internal information. Zbl 1302.35449
Monard, François; Bal, Guillaume
2012
Inverse obstacle scattering with limited-aperture data. Zbl 1241.65094
Ikehata, Masaru; Niemi, Esa; Siltanen, Samuli
2012
Nonstationary iterated thresholding algorithms for image deblurring. Zbl 1318.94015
Huang, Jie; Donatelli, Marco; Chan, Raymond H.
2013
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
2008
An inverse fluid–solid interaction problem. Zbl 1183.65138
Monk, Peter; Selgas, Virginia
2009
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
2019
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
2019
A parallel space-time domain decomposition method for unsteady source inversion problems. Zbl 1332.65057
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun
2015
Reconstruction of obstacles immersed in an incompressible fluid. Zbl 1129.35078
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan
2007
Approximation errors in nonstationary inverse problems. Zbl 1117.62102
Huttunen, Janne M. J.; Kaipio, Jari P.
2007
Partial inversion of the 2D attenuated $$X$$-ray transform with data on an arc. Zbl 07464248
Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru
2022
Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations. Zbl 07481237
Lai, Ru-Yu; Ohm, Laurel
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
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.
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
2021
Stochastic greedy algorithms for multiple measurement vectors. Zbl 07354118
Qin, Jing; Li, Shuang; Needell, Deanna; Ma, Anna; Grotheer, Rachel; Huang, Chenxi; Durgin, Natalie
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
2021
Some application examples of minimization based formulations of inverse problems and their regularization. Zbl 1473.65068
Huynh, Kha Van; Kaltenbacher, Barbara
2021
The interior transmission eigenvalue problem for elastic waves in media with obstacles. Zbl 1467.35225
Cakoni, Fioralba; Kow, Pu-Zhao; Wang, Jenn-Nan
2021
A regularization operator for source identification for elliptic PDEs. Zbl 1471.35329
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik
2021
Bragg scattering tomography. Zbl 1480.44005
Webber, James W.; Miller, Eric L.
2021
Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification. Zbl 1473.35159
Cogar, Samuel
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
2021
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
2021
Phase retrieval from Fourier measurements with masks. Zbl 1472.94009
Li, Huiping; Li, Song
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.
2021
A linear sampling method for inverse acoustic scattering by a locally rough interface. Zbl 1472.35457
Li, Jianliang; Yang, Jiaqing; Zhang, Bo
2021
Limited-angle CT reconstruction with generalized shrinkage operators as regularizers. Zbl 1481.65092
Deng, Xiaojuan; Zhao, Xing; Li, Mengfei; Li, Hongwei
2021
Automatic segmentation of the femur and tibia bones from X-ray images based on pure dilated residual U-Net. Zbl 07454687
Shen, Weihao; Xu, Wenbo; Zhang, Hongyang; Sun, Zexin; Ma, Jianxiong; Ma, Xinlong; Zhou, Shoujun; Guo, Shijie; Wang, Yuanquan
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
2020
Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017
Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu
2020
Poisson image denoising based on fractional-order total variation. Zbl 1455.94013
Chowdhury, Mujibur Rahman; Zhang, Jun; Qin, Jing; Lou, Yifei
2020
Diffusion generated methods for denoising target-valued images. Zbl 1437.65126
Osting, Braxton; Wang, Dong
2020
Regularization of inverse problems via box constrained minimization. Zbl 07208028
Hungerländer, Philipp; Kaltenbacher, Barbara; Rendl, Franz
2020
Uniqueness and stability for the recovery of a time-dependent source in elastodynamics. Zbl 1447.65062
Hu, Guanghui; Kian, Yavar
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
2020
Statistical characterization of scattering delay in synthetic aperture radar imaging. Zbl 07208031
Gilman, Mikhail; Tsynkov, Semyon
2020
Joint reconstruction in low dose multi-energy CT. Zbl 1444.92061
Toivanen, Jussi; Meaney, Alexander; Siltanen, Samuli; Kolehmainen, Ville
2020
Hölder-stable recovery of time-dependent electromagnetic potentials appearing in a dynamical anisotropic Schrödinger equation. Zbl 1458.35478
Kian, Yavar; Tetlow, Alexander
2020
Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements. Zbl 1447.35373
2020
Nonlocal regularized CNN for image segmentation. Zbl 1451.68307
Jia, Fan; Tai, Xue-Cheng; Liu, Jun
2020
Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data. Zbl 1447.35389
Smirnov, Alexey; Klibanov, Michael; Nguyen, Loc
2020
Interactions of semilinear progressing waves in two or more space dimensions. Zbl 1464.35003
Barreto, Antônio Sá
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
2020
A partial data inverse problem for the convection-diffusion equation. Zbl 1431.35247
Sahoo, Suman Kumar; Vashisth, Manmohan
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
2020
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
2020
The linear sampling method for Kirchhoff-Love infinite plates. Zbl 1435.35415
Bourgeois, Laurent; Recoquillay, Arnaud
2020
$$\chi^2$$ test for total variation regularization parameter selection. Zbl 1448.65028
2020
On range condition of the tensor x-ray transform in $$\mathbb R^n$$. Zbl 1451.44003
Denisiuk, Aleksander
2020
Uniqueness results in the inverse spectral Steklov problem. Zbl 1441.58008
Gendron, Germain
2020
Thermoacoustic tomography with circular integrating detectors and variable wave speed. Zbl 1448.35579
Mathison, Chase
2020
Reconstruction of the derivative of the conductivity at the boundary. Zbl 1448.35580
Ponce-Vanegas, Felipe
2020
A nonconvex truncated regularization and box-constrained model for CT reconstruction. Zbl 1460.92114
Wang, Weina; Wu, Chunlin; Gao, Yiming
2020
Optimal recovery of a radiating source with multiple frequencies along one line. Zbl 1471.44003
Brander, Tommi; Ilmavirta, Joonas; Piiroinen, Petteri; Tyni, Teemu
2020
Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation. Zbl 1464.35399
Liu, Chan; Wen, Jin; Zhang, Zhidong
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
2020
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
2019
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
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
2019
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
2019
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
2019
An inverse obstacle problem for the wave equation in a finite time domain. Zbl 1410.35283
Bourgeois, Laurent; Ponomarev, Dmitry; Dardé, Jérémi
2019
Momentum ray transforms. Zbl 1426.44002
Krishnan, Venkateswaran P.; Manna, Ramesh; Sahoo, Suman Kumar; Sharafutdinov, Vladimir A.
2019
Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data. Zbl 1423.35454
Rüland, Angkana; Sincich, Eva
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.
2019
Microlocal analysis of a spindle transform. Zbl 1411.35019
Webber, James W.; Holman, Sean
2019
Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385
Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu
2019
Inverse obstacle scattering for elastic waves in three dimensions. Zbl 1435.74045
Li, Peijun; Yuan, Xiaokai
2019
Travel time tomography with formally determined incomplete data in 3D. Zbl 1427.35362
Klibanov, Michael V.
2019
A partial inverse problem for the Sturm-Liouville operator on the lasso-graph. Zbl 1410.34066
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna
2019
Recovering two coefficients in an elliptic equation via phaseless information. Zbl 1407.35229
2019
On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions. Zbl 1423.35447
Isakov, Victor
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
2019
Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation. Zbl 1418.35380
Korpela, Jussi; Lassas, Matti; Oksanen, Lauri
2019
A parallel domain decomposition algorithm for large scale image denoising. Zbl 1427.65401
Chen, Rongliang; Huang, Jizu; Cai, Xiao-Chuan
2019
Dynamic inverse problem for Jacobi matrices. Zbl 1418.35382
Mikhaylov, Alexandr; Mikhaylov, Victor
2019
Causal holography in application to the inverse scattering problems. Zbl 1415.37043
Katz, Gabriel
2019
Determining rough first order perturbations of the polyharmonic operator. Zbl 1423.35433
Assylbekov, Yernat; Iyer, Karthik
2019
Integral equations for biharmonic data completion. Zbl 1447.35377
Chapko, Roman; Johansson, B. Tomas
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
2019
Inverse problems for the heat equation with memory. Zbl 1407.45006
Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min
2019
Note on Calderón’s inverse problem for measurable conductivities. Zbl 1407.35230
Santacesaria, Matteo
2019
Robust parameter estimation of chaotic systems. Zbl 1437.37112
Springer, Sebastian; Haario, Heikki; Shemyakin, Vladimir; Kalachev, Leonid; Shchepakin, Denis
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
2019
Microlocal analysis of Doppler synthetic aperture radar. Zbl 1427.78008
Felea, Raluca; Gaburro, Romina; Greenleaf, Allan; Nolan, Clifford
2019
Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity. Zbl 1430.35083
Yang, Yang; Zhai, Jian
2019
Recovering low-rank matrices from binary measurements. Zbl 1431.15002
Foucart, Simon; Lynch, Richard G.
2019
Inverse elastic surface scattering with far-field data. Zbl 1418.78004
Diao, Huai-An; Li, Peijun; Yuan, Xiaokai
2019
Magnetic parameters inversion method with full tensor gradient data. Zbl 1418.86008
Wang, Yanfei; Lukyanenko, Dmitry; Yagola, Anatoly
2019
Kullback-Leibler residual and regularization for inverse problems with noisy data and noisy operator. Zbl 07114763
Sixou, Bruno; Mory, Cyril
2019
Incorporating structural prior information and sparsity into EIT using parallel level sets. Zbl 1410.65433
Kolehmainen, Ville; Ehrhardt, Matthias J.; Arridge, Simon R.
2019
CT image reconstruction on a low dimensional manifold. Zbl 1426.94012
Cong, Wenxiang; Wang, Ge; Yang, Qingsong; Li, Jia; Hsieh, Jiang; Lai, Rongjie
2019
On periodic parameter identification in stochastic differential equations. Zbl 1418.65083
Niu, Pingping; Lu, Shuai; Cheng, Jin
2019
Inverse random source problem for biharmonic equation in two dimensions. Zbl 1471.45013
Gong, Yuxuan; Xu, Xiang
2019
A dual EM algorithm for TV regularized Gaussian mixture model in image segmentation. Zbl 1426.94033
Yan, Shi; Liu, Jun; Huang, Haiyang; Tai, Xue-Cheng
2019
Nonconvex TGV regularization model for multiplicative noise removal with spatially varying parameters. Zbl 07031518
Na, Hanwool; Kang, Myeongmin; Jung, Miyoun; Kang, Myungjoo
2019
Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line. Zbl 1472.34151
Tyni, Teemu; Serov, Valery
2019
A connection between uniqueness of minimizers in Tikhonov-type regularization and Morozov-like discrepancy principles. Zbl 07031523
2019
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
2018
Scattering problems for perturbations of the multidimensional biharmonic operator. Zbl 06936142
Tyni, Teemu; Serov, Valery
2018
Efficient tensor tomography in fan-beam coordinates. II: Attenuated transforms. Zbl 1397.35345
Monard, François
2018
Inverse source problems without (pseudo) convexity assumptions. Zbl 1395.35213
Isakov, Victor; Lu, Shuai
2018
Generalized stability estimates in inverse transport theory. Zbl 1395.35206
Bal, Guillaume; Jollivet, Alexandre
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
2018
Superconductive and insulating inclusions for linear and non-linear conductivity equations. Zbl 1398.35286
Brander, Tommi; Ilmavirta, Joonas; Kar, Manas
2018
On recovery of an inhomogeneous cavity in inverse acoustic scattering. Zbl 1395.35221
Qu, Fenglong; Yang, Jiaqing
2018
Backward problem for a time-space fractional diffusion equation. Zbl 1397.65107
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai; Li, Yujiao
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
2018
A variational model with fractional-order regularization term arising in registration of diffusion tensor image. Zbl 06989941
Han, Huan
2018
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### Cited by 3,385 Authors

 45 Uhlmann, Gunther Alberto 32 Lassas, Matti J. 31 Salo, Mikko 30 Hu, Guanghui 26 Klibanov, Michael V. 25 Li, Peijun 23 Tai, Xuecheng 22 Haltmeier, Markus 22 Huang, Ting-Zhu 22 Oksanen, Lauri 21 Haddar, Houssem 21 Harrach, Bastian 21 Kian, Yavar 20 Cakoni, Fioralba 20 Siltanen, Samuli 18 Avdonin, Sergeĭ Anatol’evich 18 Liu, Hongyu 18 Nguyen, Loc Hoang 18 Stefanov, Plamen D. 18 Zhang, Bo 17 de Hoop, Maarten V. 17 Scherzer, Otmar 17 Sun, Jiguang 17 Yamamoto, Masahiro 17 Zhao, Xile 16 Bellassoued, Mourad 16 Lesnic, Daniel 16 Lu, Shuai 16 Moon, Sunghwan 16 Shen, Zuowei 15 Kaipio, Jari P. 15 Monard, François 15 Park, Won-Kwang 15 Stuart, Andrew M. 15 Yan, Guozheng 15 Zeng, Tie Yong 14 Bao, Gang 14 Chapko, Roman 14 Chen, Ke 14 Hofmann, Bernd 14 Ikehata, Masaru 14 Johansson, B. Tomas 14 Lin, Yi-Hsuan 14 Liu, Xiaodong 14 Nguyen, Dinh Liem 13 Bal, Guillaume 13 Bourgeois, Laurent 13 Guo, Yukun 13 Isakov, Victor M. 13 Kaltenbacher, Barbara 13 Li, Jingzhi 13 Lui, Lok Ming 13 Osher, Stanley Joel 13 Quinto, Eric Todd 13 Ramlau, Ronny 13 Romanov, Vladimir Gavrilovich 13 Wu, Chunlin 13 Yang, Yang 13 Zhang, Haiwen 13 Zou, Jun 12 Boumenir, Amin A. 12 Karageorghis, Andreas 12 Lai, Ru-Yu 12 Mathé, Peter 12 Ng, Michael Kwok-Po 12 Schönlieb, Carola-Bibiane 12 Zhao, Yue 11 Ammari, Habib M. 11 Dardé, Jérémi 11 Dong, Bin 11 Ghattas, Omar N. 11 Huttunen, Janne M. J. 11 Hyvönen, Nuutti 11 Krishnan, Venkateswaran P. 11 Nakamura, Gen 11 Shen, Lixin 11 Simon, Barry 11 Tamasan, Alexandru 11 Tzou, Leo 11 Xu, Liwei 11 Zhang, Xiaoqun 10 Calvetti, Daniela 10 Duan, Yuping 10 Han, Bo 10 Ji, Xia 10 Kolehmainen, Ville 10 Kurylëv, Yaroslav Vadimovich 10 Li, Qin 10 Mikhaylov, Victor S. 10 Mueller, Jennifer L. 10 Rafeiro, Humberto 10 Roininen, Lassi 10 Rundell, William 10 Sini, Mourad 10 Wang, Jenn-Nan 10 Weinmann, Andreas 9 Assylbekov, Yernat M. 9 Burger, Martin 9 Daudé, Thierry 9 Garnier, Josselin ...and 3,285 more Authors
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### Cited in 356 Journals

 296 Inverse Problems 221 Inverse Problems and Imaging 134 SIAM Journal on Imaging Sciences 81 Journal of Scientific Computing 72 Journal of Mathematical Imaging and Vision 63 Journal of Inverse and Ill-Posed Problems 62 SIAM Journal on Mathematical Analysis 60 Inverse Problems in Science and Engineering 58 Journal of Computational and Applied Mathematics 51 Applicable Analysis 50 Journal of Computational Physics 47 Computers & Mathematics with Applications 47 Journal of Mathematical Analysis and Applications 47 SIAM Journal on Applied Mathematics 44 Journal of Differential Equations 43 SIAM Journal on Scientific Computing 30 Applied Mathematics and Computation 27 Applied Numerical Mathematics 25 Advances in Computational Mathematics 24 Mathematical Problems in Engineering 23 Applied Mathematical Modelling 22 Mathematical Methods in the Applied Sciences 22 SIAM Journal on Numerical Analysis 21 Numerische Mathematik 20 Mathematics of Computation 20 Applied and Computational Harmonic Analysis 19 SIAM/ASA Journal on Uncertainty Quantification 18 Communications in Mathematical Physics 18 Computer Methods in Applied Mechanics and Engineering 17 Communications in Partial Differential Equations 16 Numerical Functional Analysis and Optimization 15 Numerical Algorithms 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Journal of Functional Analysis 14 The Journal of Geometric Analysis 14 Computational and Applied Mathematics 13 Journal of Optimization Theory and Applications 13 Applied Mathematics Letters 13 Multiscale Modeling & Simulation 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 11 Journal of Mathematical Physics 11 Proceedings of the American Mathematical Society 11 Journal of Integral Equations and Applications 11 Linear Algebra and its Applications 11 International Journal of Computer Vision 11 Communications in Computational Physics 11 Research in the Mathematical Sciences 10 Wave Motion 10 Advances in Mathematics 10 Mathematische Annalen 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Analysis and Mathematical Physics 9 Applied Mathematics and Optimization 9 Journal of Approximation Theory 9 European Journal of Applied Mathematics 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 9 East Asian Journal on Applied Mathematics 8 Archive for Rational Mechanics and Analysis 8 BIT 8 Transactions of the American Mathematical Society 8 Engineering Analysis with Boundary Elements 8 Annales Henri Poincaré 8 Discrete and Continuous Dynamical Systems. Series B 8 Discrete and Continuous Dynamical Systems. Series S 8 Advances in Applied Mathematics and Mechanics 7 Journal d’Analyse Mathématique 7 Multidimensional Systems and Signal Processing 7 Calculus of Variations and Partial Differential Equations 7 Abstract and Applied Analysis 7 Analysis and Applications (Singapore) 7 Mediterranean Journal of Mathematics 7 Boundary Value Problems 7 Electronic Research Archive 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Acta Mathematicae Applicatae Sinica. English Series 6 Revista Matemática Iberoamericana 6 Journal of the American Mathematical Society 6 Applications of Mathematics 6 SIAM Journal on Optimization 6 ETNA. Electronic Transactions on Numerical Analysis 6 Communications in Nonlinear Science and Numerical Simulation 6 Electronic Journal of Statistics 6 Statistics and Computing 5 Information Sciences 5 Siberian Mathematical Journal 5 Constructive Approximation 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Review 5 Optimization Methods & Software 5 Computational Methods in Applied Mathematics 5 Journal of Applied Mathematics 5 Complex Variables and Elliptic Equations 5 Mathematical Modelling of Natural Phenomena 5 Analysis & PDE ...and 256 more Journals
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### Cited in 53 Fields

 1,412 Partial differential equations (35-XX) 1,279 Numerical analysis (65-XX) 498 Information and communication theory, circuits (94-XX) 350 Optics, electromagnetic theory (78-XX) 324 Computer science (68-XX) 257 Calculus of variations and optimal control; optimization (49-XX) 246 Biology and other natural sciences (92-XX) 209 Operations research, mathematical programming (90-XX) 204 Operator theory (47-XX) 188 Statistics (62-XX) 158 Mechanics of deformable solids (74-XX) 144 Integral transforms, operational calculus (44-XX) 137 Fluid mechanics (76-XX) 103 Integral equations (45-XX) 100 Harmonic analysis on Euclidean spaces (42-XX) 97 Differential geometry (53-XX) 84 Ordinary differential equations (34-XX) 80 Global analysis, analysis on manifolds (58-XX) 76 Linear and multilinear algebra; matrix theory (15-XX) 72 Quantum theory (81-XX) 66 Probability theory and stochastic processes (60-XX) 50 Functional analysis (46-XX) 47 Systems theory; control (93-XX) 44 Potential theory (31-XX) 41 Geophysics (86-XX) 38 Functions of a complex variable (30-XX) 32 Dynamical systems and ergodic theory (37-XX) 32 Statistical mechanics, structure of matter (82-XX) 29 Real functions (26-XX) 25 Classical thermodynamics, heat transfer (80-XX) 22 Special functions (33-XX) 20 Combinatorics (05-XX) 19 Approximations and expansions (41-XX) 17 Difference and functional equations (39-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Astronomy and astrophysics (85-XX) 10 Convex and discrete geometry (52-XX) 8 Measure and integration (28-XX) 8 Relativity and gravitational theory (83-XX) 6 General and overarching topics; collections (00-XX) 5 Manifolds and cell complexes (57-XX) 5 Mechanics of particles and systems (70-XX) 4 Algebraic geometry (14-XX) 4 Geometry (51-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX)