Inverse Problems and Imaging: latest papers Latest articles for selected journal Wavelet tight frame and prior image-based image reconstruction from limited-angle projection data Chengxiang Wang, Li Zeng, Yumeng Guo and Lingli Zhang Fri, 1 Dec 2017 08:00:00 GMT Multiplicative noise removal with a sparsity-aware optimization model 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 A numerical study of a mean curvature denoising model using a novel augmented Lagrangian method Wei Zhu Fri, 1 Dec 2017 08:00:00 GMT Analysis of a variational model for motion compensated inpainting Riccardo March and Giuseppe Riey Fri, 1 Dec 2017 08:00:00 GMT Some remarks on the small electromagnetic inhomogeneities reconstruction problem Batoul Abdelaziz, Abdellatif El Badia and Ahmad El Hajj Fri, 1 Dec 2017 08:00:00 GMT Accelerated Bregman operator splitting with backtracking Yunmei Chen, Xianqi Li, Yuyuan Ouyang and Eduardo Pasiliao Fri, 1 Dec 2017 08:00:00 GMT Inversion of weighted divergent beam and cone transforms Peter Kuchment and Fatma Terzioglu Fri, 1 Dec 2017 08:00:00 GMT Near-field imaging of sound-soft obstacles in periodic waveguides Ming Li and Ruming Zhang Fri, 1 Dec 2017 08:00:00 GMT The generalized linear sampling and factorization methods only depends on the sign of contrast on the boundary Lorenzo Audibert Fri, 1 Dec 2017 08:00:00 GMT