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This paper concerns solving the sparse deconvolution and demixing problem using $\ell_{1,2}$-minimization. We show that under a certain structured random model, robust and stable recovery is possible. The results extend results of Ling and…

Statistics Theory · Mathematics 2017-05-11 Axel Flinth

Hyperspectral and multispectral images fusion aims at integrating a low-resolution hyperspectral image (LR-HSI) and a high-resolution multispectral image (HR-MSI) to construct a high-resolution hyperspectral image (HR-HSI). It is generally…

Optimization and Control · Mathematics 2026-03-13 Ying Gao , Michael K. Ng , Chunfeng cui

Deconvolution serves as a computational means of removing the effect of optical aberrations from recorded images and is employed in many technical and scientific fields of study. In most imaging scenarios the nature of the blurring kernel…

Image and Video Processing · Electrical Eng. & Systems 2018-10-18 Dean Wilding , Oleg Soloviev , Paolo Pozzi , Carlas Smith , Gleb Vdovin , Michel Verhaegen

Consistent in-focus input imagery is an essential precondition for machine vision systems to perceive the dynamic environment. A defocus blur severely degrades the performance of vision systems. To tackle this problem, we propose a…

Image and Video Processing · Electrical Eng. & Systems 2021-03-11 Jisheng Li , Qi Dai , Jiangtao Wen

We present an effective blind image deblurring method based on a data-driven discriminative prior.Our work is motivated by the fact that a good image prior should favor clear images over blurred images.In this work, we formulate the image…

Computer Vision and Pattern Recognition · Computer Science 2018-04-06 Lerenhan Li , Jinshan Pan , Wei-Sheng Lai , Changxin Gao , Nong Sang , Ming-Hsuan Yang

Following the earlier verification for Gaussian model in \cite{ASaa2026}, this paper introduces a zero training forward computational framework for the model to realize it in real time applications. The framework is based on discrete…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Akbar Saadat

In recent years, computational Time-of-Flight (ToF) imaging has emerged as an exciting and a novel imaging modality that offers new and powerful interpretations of natural scenes, with applications extending to 3D, light-in-flight, and…

Image and Video Processing · Electrical Eng. & Systems 2024-11-05 Ruiming Guo , Ayush Bhandari

In this paper, we tackle the problem of blind image super-resolution(SR) with a reformulated degradation model and two novel modules. Following the common practices of blind SR, our method proposes to improve both the kernel estimation as…

Image and Video Processing · Electrical Eng. & Systems 2022-03-28 Ziwei Luo , Haibin Huang , Lei Yu , Youwei Li , Haoqiang Fan , Shuaicheng Liu

Real-world dynamic scene deblurring has long been a challenging task since paired blurry-sharp training data is unavailable. Conventional Maximum A Posteriori estimation and deep learning-based deblurring methods are restricted by…

Computer Vision and Pattern Recognition · Computer Science 2022-04-27 Youjian Zhang , Chaoyue Wang , Dacheng Tao

Hyperspectral imaging is a cutting-edge type of remote sensing used for mapping vegetation properties, rock minerals and other materials. A major drawback of hyperspectral imaging devices is their intrinsic low spatial resolution. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Leon Bungert , David A. Coomes , Matthias J. Ehrhardt , Jennifer Rasch , Rafael Reisenhofer , Carola-Bibiane Schönlieb

We propose a blind deconvolution method for signals on graphs, with the exact sparseness constraint for the original signal. Graph blind deconvolution is an algorithm for estimating the original signal on a graph from a set of blurred and…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Kazuma Iwata , Koki Yamada , Yuichi Tanaka

Blind image deblurring, i.e., deblurring without knowledge of the blur kernel, is a highly ill-posed problem. The problem can be solved in two parts: i) estimate a blur kernel from the blurry image, and ii) given estimated blur kernel,…

Computer Vision and Pattern Recognition · Computer Science 2017-12-27 Yuanchao Bai , Gene Cheung , Xianming Liu , Wen Gao

Existing blind image super-resolution (SR) methods mostly assume blur kernels are spatially invariant across the whole image. However, such an assumption is rarely applicable for real images whose blur kernels are usually spatially variant…

Computer Vision and Pattern Recognition · Computer Science 2021-08-12 Jingyun Liang , Guolei Sun , Kai Zhang , Luc Van Gool , Radu Timofte

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

Blind image deblurring is a particularly challenging inverse problem where the blur kernel is unknown and must be estimated en route to recover the deblurred image. The problem is of strong practical relevance since many imaging devices…

Computer Vision and Pattern Recognition · Computer Science 2018-03-14 Mohammad Tofighi , Yuelong Li , Vishal Monga

We present a method that takes as input a single dual-pixel image, and simultaneously estimates the image's defocus map -- the amount of defocus blur at each pixel -- and recovers an all-in-focus image. Our method is inspired from recent…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Shumian Xin , Neal Wadhwa , Tianfan Xue , Jonathan T. Barron , Pratul P. Srinivasan , Jiawen Chen , Ioannis Gkioulekas , Rahul Garg

The aim of this paper is to investigate superresolution in deconvolution driven by sparsity priors. The observed signal is a convolution of an original signal with a continuous kernel.With the prior knowledge that the original signal can be…

Optimization and Control · Mathematics 2025-03-20 Alexandra Koulouri , Pia Heins , Martin Burger

There are two major routes to address the ubiquitous family of inverse problems appearing in signal and image processing, such as denoising or deblurring. A first route relies on Bayesian modeling, where prior probabilities are used to…

Statistics Theory · Mathematics 2026-03-24 Rémi Gribonval , Mila Nikolova

Denoiser models have become powerful tools for inverse problems, enabling the use of pretrained networks to approximate the score of a smoothed prior distribution. These models are often used in heuristic iterative schemes aimed at solving…

Machine Learning · Computer Science 2025-11-20 Scott Pesme , Giacomo Meanti , Michael Arbel , Julien Mairal

This paper comprehensively reviews the recent development of image deblurring, including non-blind/blind, spatially invariant/variant deblurring techniques. Indeed, these techniques share the same objective of inferring a latent sharp image…

Computer Vision and Pattern Recognition · Computer Science 2014-09-25 Ruxin Wang , Dacheng Tao
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