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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.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Image restoration from noisy incomplete frequency data by alternative iteration scheme
Xiaoman Liu and Jijun Liu
2020, 14(4) : 583-606 doi: 10.3934/ipi.2020027 +[Abstract](170) +[HTML](64) +[PDF](1793.83KB)
Joint reconstruction in low dose multi-energy CT
Jussi Toivanen, Alexander Meaney, Samuli Siltanen and Ville Kolehmainen
2020, 14(4) : 607-629 doi: 10.3934/ipi.2020028 +[Abstract](270) +[HTML](64) +[PDF](4143.61KB)
Uniqueness results in the inverse spectral Steklov problem
Germain Gendron
2020, 14(4) : 631-664 doi: 10.3934/ipi.2020029 +[Abstract](153) +[HTML](53) +[PDF](473.52KB)
Thermoacoustic Tomography with circular integrating detectors and variable wave speed
Chase Mathison
2020, 14(4) : 665-682 doi: 10.3934/ipi.2020030 +[Abstract](134) +[HTML](47) +[PDF](464.17KB)
Learnable Douglas-Rachford iteration and its applications in DOT imaging
Jiulong Liu, Nanguang Chen and Hui Ji
2020, 14(4) : 683-700 doi: 10.3934/ipi.2020031 +[Abstract](155) +[HTML](118) +[PDF](1174.97KB)
Reconstruction of the derivative of the conductivity at the boundary
Felipe Ponce-Vanegas
2020, 14(4) : 701-718 doi: 10.3934/ipi.2020032 +[Abstract](87) +[HTML](41) +[PDF](420.95KB)
Extended sampling method for interior inverse scattering problems
Fang Zeng
2020, 14(4) : 719-731 doi: 10.3934/ipi.2020033 +[Abstract](106) +[HTML](45) +[PDF](1648.53KB)
Saturation-Value Total Variation model for chromatic aberration correction
Wei Wang, Ling Pi and Michael K. Ng
2020, 14(4) : 733-755 doi: 10.3934/ipi.2020034 +[Abstract](104) +[HTML](61) +[PDF](16373.12KB)
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](4182) +[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](2870) +[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](3394) +[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](3209) +[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](3204) +[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](2818) +[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](4588) +[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](3472) +[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](3000) +[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](2434) +[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](4554) +[HTML](388) +[PDF](3108.34KB) PDF Downloads(257)
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](1798) +[HTML](398) +[PDF](1475.63KB) PDF Downloads(247)
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](2922) +[HTML](647) +[PDF](1075.82KB) PDF Downloads(236)
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](1105) +[HTML](379) +[PDF](2355.85KB) PDF Downloads(198)
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](1128) +[HTML](343) +[PDF](8363.67KB) PDF Downloads(193)
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](5111) +[HTML](419) +[PDF](659.55KB) PDF Downloads(193)
Inverse random source problem for biharmonic equation in two dimensions
Yuxuan Gong and Xiang Xu
2019, 13(3) : 635-652 doi: 10.3934/ipi.2019029 +[Abstract](1939) +[HTML](358) +[PDF](903.05KB) PDF Downloads(186)
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](4588) +[PDF](2454.5KB) PDF Downloads(183)
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](5095) +[HTML](398) +[PDF](955.55KB) PDF Downloads(182)
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](1450) +[HTML](227) +[PDF](2919.0KB) PDF Downloads(181)

2018  Impact Factor: 1.469

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