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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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Artifacts in the inversion of the broken ray transform in the plane
Yang Zhang
2020, 14(1) : 1-26 doi: 10.3934/ipi.2019061 +[Abstract](132) +[HTML](49) +[PDF](1127.94KB)
A content-adaptive unstructured grid based integral equation method with the TV regularization for SPECT reconstruction
Yun Chen, Jiasheng Huang, Si Li, Yao Lu and Yuesheng Xu
2020, 14(1) : 27-52 doi: 10.3934/ipi.2019062 +[Abstract](131) +[HTML](47) +[PDF](822.45KB)
A partial data inverse problem for the convection-diffusion equation
Suman Kumar Sahoo and Manmohan Vashisth
2020, 14(1) : 53-75 doi: 10.3934/ipi.2019063 +[Abstract](178) +[HTML](39) +[PDF](409.27KB)
Poisson image denoising based on fractional-order total variation
Mujibur Rahman Chowdhury, Jun Zhang, Jing Qin and Yifei Lou
2020, 14(1) : 77-96 doi: 10.3934/ipi.2019064 +[Abstract](337) +[HTML](81) +[PDF](1475.63KB)
Electrocommunication for weakly electric fish
Andrea Scapin
2020, 14(1) : 97-115 doi: 10.3934/ipi.2019065 +[Abstract](67) +[HTML](58) +[PDF](944.67KB)
Nonlocal TV-Gaussian prior for Bayesian inverse problems with applications to limited CT reconstruction
Didi Lv, Qingping Zhou, Jae Kyu Choi, Jinglai Li and Xiaoqun Zhang
2020, 14(1) : 117-132 doi: 10.3934/ipi.2019066 +[Abstract](110) +[HTML](101) +[PDF](2355.85KB)
Factorization method for imaging a local perturbation in inhomogeneous periodic layers from far field measurements
Houssem Haddar and Alexander Konschin
2020, 14(1) : 133-152 doi: 10.3934/ipi.2019067 +[Abstract](95) +[HTML](35) +[PDF](905.3KB)
An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition
Chuan-Fu Yang, Natalia Pavlovna Bondarenko and Xiao-Chuan Xu
2020, 14(1) : 153-169 doi: 10.3934/ipi.2019068 +[Abstract](85) +[HTML](41) +[PDF](340.84KB)
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](3544) +[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](2323) +[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](2827) +[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](2743) +[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](2677) +[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](2391) +[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](3861) +[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](2976) +[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](2588) +[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](2029) +[PDF](238.1KB) Cited By(39)
Geometric mode decomposition
Siwei Yu, Jianwei Ma and Stanley Osher
2018, 12(4) : 831-852 doi: 10.3934/ipi.2018035 +[Abstract](3820) +[HTML](253) +[PDF](3108.34KB) PDF Downloads(166)
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](4335) +[HTML](277) +[PDF](955.55KB) PDF Downloads(159)
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](2882) +[HTML](202) +[PDF](742.1KB) PDF Downloads(159)
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](2150) +[HTML](315) +[PDF](566.78KB) PDF Downloads(141)
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](349) +[HTML](176) +[PDF](8363.67KB) PDF Downloads(138)
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](4461) +[HTML](300) +[PDF](659.55KB) PDF Downloads(133)
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](3761) +[HTML](381) +[PDF](779.26KB) PDF Downloads(126)
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](3833) +[HTML](180) +[PDF](1676.42KB) PDF Downloads(126)
Piecewise constant signal and image denoising using a selective averaging method with multiple neighbors
Weina Wang, Chunlin Wu and Jiansong Deng
2019, 13(5) : 903-930 doi: 10.3934/ipi.2019041 +[Abstract](1403) +[HTML](225) +[PDF](4356.06KB) PDF Downloads(125)
Incorporating structural prior information and sparsity into EIT using parallel level sets
Ville Kolehmainen, Matthias J. Ehrhardt and Simon R. Arridge
2019, 13(2) : 285-307 doi: 10.3934/ipi.2019015 +[Abstract](2104) +[HTML](402) +[PDF](1075.82KB) PDF Downloads(120)

2018  Impact Factor: 1.469

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