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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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Removing random-valued impulse noise with reliable weight
Qiyu Jin, Li Bai, Ion Grama, Quansheng Liu and Jie Yang
2020, 14(2) : 171-203 doi: 10.3934/ipi.2020009 +[Abstract](115) +[HTML](63) +[PDF](4046.3KB)
Diffusion generated methods for denoising target-valued images
Braxton Osting and Dong Wang
2020, 14(2) : 205-232 doi: 10.3934/ipi.2020010 +[Abstract](98) +[HTML](45) +[PDF](17507.44KB)
Guarantees of riemannian optimization for low rank matrix completion
Ke Wei, Jian-Feng Cai, Tony F. Chan and Shingyu Leung
2020, 14(2) : 233-265 doi: 10.3934/ipi.2020011 +[Abstract](108) +[HTML](60) +[PDF](922.69KB)
Enhanced image approximation using shifted rank-1 reconstruction
Florian Bossmann and Jianwei Ma
2020, 14(2) : 267-290 doi: 10.3934/ipi.2020012 +[Abstract](89) +[HTML](54) +[PDF](2820.82KB)
Robust and stable region-of-interest tomographic reconstruction using a robust width prior
Bart Goossens, Demetrio Labate and Bernhard G Bodmann
2020, 14(2) : 291-316 doi: 10.3934/ipi.2020013 +[Abstract](91) +[HTML](61) +[PDF](5080.28KB)
Simultaneous reconstruction of emission and attenuation in passive gamma emission tomography of spent nuclear fuel
Rasmus Backholm, Tatiana A. Bubba, Camille Bélanger-Champagne, Tapio Helin, Peter Dendooven and Samuli Siltanen
2020, 14(2) : 317-337 doi: 10.3934/ipi.2020014 +[Abstract](122) +[HTML](53) +[PDF](736.0KB)
Non-local blind hyperspectral image super-resolution via 4d sparse tensor factorization and low-rank
Wei Wan, Weihong Guo, Jun Liu and Haiyang Huang
2020, 14(2) : 339-361 doi: 10.3934/ipi.2020015 +[Abstract](143) +[HTML](65) +[PDF](5264.11KB)
The Linear Sampling Method for Kirchhoff-Love infinite plates
Laurent Bourgeois and Arnaud Recoquillay
2020, 14(2) : 363-384 doi: 10.3934/ipi.2020016 +[Abstract](89) +[HTML](42) +[PDF](1690.34KB)
Integral formulation of the complete electrode model of electrical impedance tomography
Erfang Ma
2020, 14(2) : 385-398 doi: 10.3934/ipi.2020017 +[Abstract](79) +[HTML](61) +[PDF](3289.28KB)
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](3806) +[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](2536) +[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](3072) +[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](2926) +[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](2885) +[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](2553) +[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](4125) +[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](3189) +[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](2755) +[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](2209) +[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](4110) +[HTML](260) +[PDF](3108.34KB) PDF Downloads(215)
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](3098) +[HTML](209) +[PDF](742.1KB) PDF Downloads(165)
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](4663) +[HTML](282) +[PDF](955.55KB) PDF Downloads(164)
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](888) +[HTML](234) +[PDF](1475.63KB) PDF Downloads(158)
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](528) +[HTML](209) +[PDF](8363.67KB) PDF Downloads(155)
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](1706) +[HTML](259) +[PDF](903.05KB) PDF Downloads(154)
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](4749) +[HTML](305) +[PDF](659.55KB) PDF Downloads(153)
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](2479) +[HTML](485) +[PDF](1075.82KB) PDF Downloads(152)
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](1601) +[HTML](227) +[PDF](4356.06KB) PDF Downloads(149)
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](2509) +[HTML](318) +[PDF](566.78KB) PDF Downloads(148)

2018  Impact Factor: 1.469

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