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We propose a deconvolution algorithm for images blurred and degraded by a Poisson noise. The algorithm uses a fast proximal backward-forward splitting iteration. This iteration minimizes an energy which combines a \textit{non-linear} data…

Applications · Statistics 2008-12-18 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

It is well-established that many iterative sparse reconstruction algorithms can be unrolled to yield a learnable neural network for improved empirical performance. A prime example is learned ISTA (LISTA) where weights, step sizes and…

Machine Learning · Computer Science 2020-10-06 Freya Behrens , Jonathan Sauder , Peter Jung

Multi-block separable convex problems recently received considerable attention. This class of optimization problems minimizes a separable convex objective function with linear constraints. The algorithmic challenges come from the fact that…

Optimization and Control · Mathematics 2016-08-18 Qia Li , Yuesheng Xu , Na Zhang

We present a convex mixed-integer programming formulation for non-rigid shape matching. To this end, we propose a novel shape deformation model based on an efficient low-dimensional discrete model, so that finding a globally optimal…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Florian Bernard , Zeeshan Khan Suri , Christian Theobalt

We propose a very fast and effective one-step restoring method for blurry face images. In the last decades, many blind deblurring algorithms have been proposed to restore latent sharp images. However, these algorithms run slowly because of…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Lingxiao Wang , Yali Li , Shengjin Wang

Regression-based methods have shown high efficiency and effectiveness for multi-view human mesh recovery. The key components of a typical regressor lie in the feature extraction of input views and the fusion of multi-view features. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Kai Jia , Hongwen Zhang , Liang An , Yebin Liu

Image restoration is a long-standing low-level vision problem, e.g., deblurring and deraining. In the process of image restoration, it is necessary to consider not only the spatial details and contextual information of restoration to ensure…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Hu Gao , Depeng Dang

We consider the recovery of a continuous domain piecewise constant image from its non-uniform Fourier samples using a convex matrix completion algorithm. We assume the discontinuities/edges of the image are localized to the zero levelset of…

Information Theory · Computer Science 2018-02-14 Greg Ongie , Sampurna Biswas , Mathews Jacob

Traditional and deep learning-based fusion methods generated the intermediate decision map to obtain the fusion image through a series of post-processing procedures. However, the fusion results generated by these methods are easy to lose…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Yongsheng Zang , Dongming Zhou , Changcheng Wang , Rencan Nie , Yanbu Guo

Photo restoration technology enables preserving visual memories in photographs. However, physical prints are vulnerable to various forms of deterioration, ranging from physical damage to loss of image quality, etc. While restoration by…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Seung-Yeon Back , Geonho Son , Dahye Jeong , Eunil Park , Simon S. Woo

In this paper a hierarchical model for pixel clustering and image segmentation is developed. In the model an image is hierarchically structured. The original image is treated as a set of nested images, which are capable to reversibly merge…

Computer Vision and Pattern Recognition · Computer Science 2016-12-22 Mikhail Kharinov

This paper proposes a new backtracking strategy based on the FISTA accelerated algorithm for multiobjective optimization problems. The strategy focuses on solving the problem of Lipschitz constant being unknown. It allows estimate parameter…

Optimization and Control · Mathematics 2024-12-31 Chengzhi Huang , Jian Chen , Liping Tang

The task of image restration is to find the spatial correspondence of two or more given images. In this paper we assume that the correspondence is given either by an Euclidean, or by an affine volume-preserving transformation. Since the…

Optimization and Control · Mathematics 2010-07-30 Martin Schröter , Uwe Helmke , Otto Sauer

We consider an inertial primal-dual fixed point algorithm (IPDFP) to compute the minimizations of the following Problem (1.1). This is a full splitting approach, in the sense that the nonsmooth functions are processed individually via their…

Optimization and Control · Mathematics 2016-04-20 Meng Wen , Yu-Chao Tang , Jigen Peng

Image restoration is the task of recovering a clean image from a degraded version. In most cases, the degradation is spatially varying, and it requires the restoration network to both localize and restore the affected regions. In this…

Image and Video Processing · Electrical Eng. & Systems 2022-01-04 Maitreya Suin , Kuldeep Purohit , A. N. Rajagopalan

We aim at the solution of inverse problems in imaging, by combining a penalized sparse representation of image patches with an unconstrained smooth one. This allows for a straightforward interpretation of the reconstruction. We formulate…

Image and Video Processing · Electrical Eng. & Systems 2025-03-18 Stanislas Ducotterd , Sebastian Neumayer , Michael Unser

We propose a proximal approach to deal with a class of convex variational problems involving nonlinear constraints. A large family of constraints, proven to be effective in the solution of inverse problems, can be expressed as the lower…

Numerical Analysis · Computer Science 2014-03-21 Giovanni Chierchia , Nelly Pustelnik , Jean-Christophe Pesquet , Béatrice Pesquet-Popescu

Developing a reliable and practical face recognition system is a long-standing goal in computer vision research. Existing literature suggests that pixel-wise face alignment is the key to achieve high-accuracy face recognition. By assuming a…

Computer Vision and Pattern Recognition · Computer Science 2015-01-21 Yuting Zhang , Kui Jia , Yueming Wang , Gang Pan , Tsung-Han Chan , Yi Ma

Image restoration endeavors to reconstruct a high-quality, detail-rich image from a degraded counterpart, which is a pivotal process in photography and various computer vision systems. In real-world scenarios, different types of degradation…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Yuhong He , Long Peng , Qiaosi Yi , Chen Wu , Lu Wang

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

Optimization and Control · Mathematics 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo