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Inverse Problems and Imaging publishes research articles of the highest quality that employ innovative mathematical and modeling techniques to study inverse and imaging problems arising in engineering and other sciences. Every published paper has a strong mathematical orientation employing methods from such areas as control theory, discrete mathematics, differential geometry, harmonic analysis, functional analysis, integral geometry, mathematical physics, numerical analysis, optimization, partial differential equations, and stochastic and statistical methods. The field of applications includes medical and other imaging, nondestructive testing, geophysical prospection and remote sensing as well as image analysis and image processing.


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Electrical impedance tomography with multiplicative regularization
Ke Zhang, Maokun Li, Fan Yang, Shenheng Xu and Aria Abubakar
2019, 13(6) : 1139-1159 doi: 10.3934/ipi.2019051 +[Abstract](234) +[HTML](97) +[PDF](2919.0KB)
Nonlinear fractional diffusion model for deblurring images with textures
Zhichang Guo, Wenjuan Yao, Jiebao Sun and Boying Wu
2019, 13(6) : 1161-1188 doi: 10.3934/ipi.2019052 +[Abstract](259) +[HTML](139) +[PDF](8363.67KB)
Robust parameter estimation of chaotic systems
Sebastian Springer, Heikki Haario, Vladimir Shemyakin, Leonid Kalachev and Denis Shchepakin
2019, 13(6) : 1189-1212 doi: 10.3934/ipi.2019053 +[Abstract](201) +[HTML](86) +[PDF](2935.54KB)
Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary
Oleg Yu. Imanuvilov and Masahiro Yamamoto
2019, 13(6) : 1213-1258 doi: 10.3934/ipi.2019054 +[Abstract](226) +[HTML](104) +[PDF](602.07KB)
A parallel domain decomposition algorithm for large scale image denoising
Rongliang Chen, Jizu Huang and Xiao-Chuan Cai
2019, 13(6) : 1259-1282 doi: 10.3934/ipi.2019055 +[Abstract](151) +[HTML](120) +[PDF](12540.77KB)
Microlocal analysis of Doppler synthetic aperture radar
Raluca Felea, Romina Gaburro, Allan Greenleaf and Clifford Nolan
2019, 13(6) : 1283-1307 doi: 10.3934/ipi.2019056 +[Abstract](142) +[HTML](70) +[PDF](554.37KB)
Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity
Yang Yang and Jian Zhai
2019, 13(6) : 1309-1325 doi: 10.3934/ipi.2019057 +[Abstract](145) +[HTML](60) +[PDF](357.04KB)
A reproducing kernel Hilbert space framework for inverse scattering problems within the Born approximation
Kaitlyn (Voccola) Muller
2019, 13(6) : 1327-1348 doi: 10.3934/ipi.2019058 +[Abstract](142) +[HTML](59) +[PDF](368.97KB)
Scattering by impenetrable scatterer in a stratified ocean waveguide
Keji Liu
2019, 13(6) : 1349-1365 doi: 10.3934/ipi.2019059 +[Abstract](136) +[HTML](60) +[PDF](1794.05KB)
Travel time tomography with formally determined incomplete data in 3D
Michael V. Klibanov
2019, 13(6) : 1367-1393 doi: 10.3934/ipi.2019060 +[Abstract](134) +[HTML](73) +[PDF](541.67KB)
Fast dual minimization of the vectorial total variation norm and applications to color image processing
Xavier Bresson and Tony F. Chan
2008, 2(4) : 455-484 doi: 10.3934/ipi.2008.2.455 +[Abstract](3455) +[PDF](1915.3KB) Cited By(111)
The interior transmission problem
David Colton, Lassi Päivärinta and John Sylvester
2007, 1(1) : 13-28 doi: 10.3934/ipi.2007.1.13 +[Abstract](2251) +[PDF](204.8KB) Cited By(106)
Two-phase approach for deblurring images corrupted by impulse plus gaussian noise
Jian-Feng Cai, Raymond H. Chan and Mila Nikolova
2008, 2(2) : 187-204 doi: 10.3934/ipi.2008.2.187 +[Abstract](2764) +[PDF](922.2KB) Cited By(69)
Iteratively solving linear inverse problems under general convex constraints
Ingrid Daubechies, Gerd Teschke and Luminita Vese
2007, 1(1) : 29-46 doi: 10.3934/ipi.2007.1.29 +[Abstract](2668) +[PDF](270.3KB) Cited By(59)
Regularized D-bar method for the inverse conductivity problem
Kim Knudsen, Matti Lassas, Jennifer L. Mueller and Samuli Siltanen
2009, 3(4) : 599-624 doi: 10.3934/ipi.2009.3.599 +[Abstract](2587) +[PDF](451.7KB) Cited By(53)
On the existence of transmission eigenvalues
Andreas Kirsch
2009, 3(2) : 155-172 doi: 10.3934/ipi.2009.3.155 +[Abstract](2324) +[PDF](214.7KB) Cited By(51)
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity
Chunlin Wu, Juyong Zhang and Xue-Cheng Tai
2011, 5(1) : 237-261 doi: 10.3934/ipi.2011.5.237 +[Abstract](3747) +[PDF](2454.5KB) Cited By(48)
Non-local regularization of inverse problems
Gabriel Peyré, Sébastien Bougleux and Laurent Cohen
2011, 5(2) : 511-530 doi: 10.3934/ipi.2011.5.511 +[Abstract](2893) +[PDF](1841.8KB) Cited By(42)
On uniqueness in the inverse conductivity problem with local data
Victor Isakov
2007, 1(1) : 95-105 doi: 10.3934/ipi.2007.1.95 +[Abstract](2531) +[PDF](156.4KB) Cited By(41)
Photo-acoustic inversion in convex domains
Frank Natterer
2012, 6(2) : 315-320 doi: 10.3934/ipi.2012.6.315 +[Abstract](1949) +[PDF](238.1KB) Cited By(39)
A variational model with fractional-order regularization term arising in registration of diffusion tensor image
Huan Han
2018, 12(6) : 1263-1291 doi: 10.3934/ipi.2018053 +[Abstract](2788) +[HTML](202) +[PDF](742.1KB) PDF Downloads(149)
Geometric mode decomposition
Siwei Yu, Jianwei Ma and Stanley Osher
2018, 12(4) : 831-852 doi: 10.3934/ipi.2018035 +[Abstract](3673) +[HTML](253) +[PDF](3108.34KB) PDF Downloads(148)
Existence and convergence analysis of $\ell_{0}$ and $\ell_{2}$ regularizations for limited-angle CT reconstruction
Chengxiang Wang, Li Zeng, Wei Yu and Liwei Xu
2018, 12(3) : 545-572 doi: 10.3934/ipi.2018024 +[Abstract](4170) +[HTML](277) +[PDF](955.55KB) PDF Downloads(140)
Regularization of a backwards parabolic equation by fractional operators
Barbara Kaltenbacher and William Rundell
2019, 13(2) : 401-430 doi: 10.3934/ipi.2019020 +[Abstract](2020) +[HTML](315) +[PDF](566.78KB) PDF Downloads(133)
Backward problem for a time-space fractional diffusion equation
Junxiong Jia, Jigen Peng, Jinghuai Gao and Yujiao Li
2018, 12(3) : 773-799 doi: 10.3934/ipi.2018033 +[Abstract](4296) +[HTML](300) +[PDF](659.55KB) PDF Downloads(125)
A scaled gradient method for digital tomographic image reconstruction
Jianjun Zhang, Yunyi Hu and James G. Nagy
2018, 12(1) : 239-259 doi: 10.3934/ipi.2018010 +[Abstract](3634) +[HTML](381) +[PDF](779.26KB) PDF Downloads(120)
Using generalized cross validation to select regularization parameter for total variation regularization problems
You-Wei Wen and Raymond Honfu Chan
2018, 12(5) : 1103-1120 doi: 10.3934/ipi.2018046 +[Abstract](3668) +[HTML](180) +[PDF](1676.42KB) PDF Downloads(114)
Inverse problems for the heat equation with memory
Sergei A. Avdonin, Sergei A. Ivanov and Jun-Min Wang
2019, 13(1) : 31-38 doi: 10.3934/ipi.2019002 +[Abstract](2151) +[HTML](186) +[PDF](321.32KB) PDF Downloads(114)
Inverse source problems in electrodynamics
Guanghui Hu, Peijun Li, Xiaodong Liu and Yue Zhao
2018, 12(6) : 1411-1428 doi: 10.3934/ipi.2018059 +[Abstract](2774) +[HTML](210) +[PDF](542.49KB) PDF Downloads(113)
Risk estimators for choosing regularization parameters in ill-posed problems - properties and limitations
Felix Lucka, Katharina Proksch, Christoph Brune, Nicolai Bissantz, Martin Burger, Holger Dette and Frank Wübbeling
2018, 12(5) : 1121-1155 doi: 10.3934/ipi.2018047 +[Abstract](3204) +[HTML](304) +[PDF](2945.43KB) PDF Downloads(110)

2018  Impact Factor: 1.469

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