Inverse Problems and Imaging: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=11 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14614 Wavelet tight frame and prior image-based image reconstruction from limited-angle projection data http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14614 Chengxiang Wang, Li Zeng, Yumeng Guo and Lingli Zhang Fri, 1 Dec 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14615 Multiplicative noise removal with a sparsity-aware optimization model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14615 speckle noise) is a key issue in coherent image processing. Notice that images under consideration are often highly compressible in certain suitably chosen transform domains. By exploring this intrinsic feature embedded in images, this paper introduces a variational restoration model for multiplicative noise reduction that consists of a term reflecting the observed image and multiplicative noise, a quadratic term measuring the closeness of the underlying image in a transform domain to a sparse vector, and a sparse regularizer for removing multiplicative noise. Being different from popular existing models which focus on pursuing convexity, the proposed sparsity-aware model may be nonconvex depending on the conditions of the parameters of the model for achieving the optimal denoising performance. An algorithm for finding a critical point of the objective function of the model is developed based on coupled fixed-point equations expressed in terms of the proximity operator of functions that appear in the objective function. Convergence analysis of the algorithm is provided. Experimental results are shown to demonstrate that the proposed iterative algorithm is sensitive to some initializations for obtaining the best restoration results. We observe that the proposed method with SAR-BM3D filtering images as initial estimates can remarkably outperform several state-of-art methods in terms of the quality of the restored images. ]]> Jian Lu, Lixin Shen, Chen Xu and Yuesheng Xu Fri, 1 Dec 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14616 A numerical study of a mean curvature denoising model using a novel augmented Lagrangian method http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14616 Wei Zhu Fri, 1 Dec 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14617 Analysis of a variational model for motion compensated inpainting http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14617 Riccardo March and Giuseppe Riey Fri, 1 Dec 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14618 Some remarks on the small electromagnetic inhomogeneities reconstruction problem http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14618 Batoul Abdelaziz, Abdellatif El Badia and Ahmad El Hajj Fri, 1 Dec 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14619 Accelerated Bregman operator splitting with backtracking http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14619 Yunmei Chen, Xianqi Li, Yuyuan Ouyang and Eduardo Pasiliao Fri, 1 Dec 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14620 Inversion of weighted divergent beam and cone transforms http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14620 Peter Kuchment and Fatma Terzioglu Fri, 1 Dec 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14621 Near-field imaging of sound-soft obstacles in periodic waveguides http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14621 Ming Li and Ruming Zhang Fri, 1 Dec 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14622 The generalized linear sampling and factorization methods only depends on the sign of contrast on the boundary http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14622 Lorenzo Audibert Fri, 1 Dec 2017 08:00:00 GMT