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Related papers: Revisiting Bayesian Blind Deconvolution

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In this paper we analyze the blind deconvolution of an image and an unknown blur in a coded imaging system. The measurements consist of subsampled convolution of an unknown blurring kernel with multiple random binary modulations (coded…

Information Theory · Computer Science 2015-10-27 Sohail Bahmani , Justin Romberg

Recovering corrupted images is one of the most challenging problems in image processing. Among various restoration tasks, blind image deblurring has been extensively studied due to its practical importance and inherent difficulty. In this…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Heng Zhang , Reza Parvaz , Rui Yang

Bayesian estimation methods for sparse blind deconvolution problems conventionally employ Bernoulli-Gaussian (BG) prior for modeling sparse sequences and utilize Markov Chain Monte Carlo (MCMC) methods for the estimation of unknowns.…

Methodology · Statistics 2021-08-30 Burak Cevat Civek , Emre Ertin

The blind deconvolution problem aims to recover a rank-one matrix from a set of rank-one linear measurements. Recently, Charisopulos et al. introduced a nonconvex nonsmooth formulation that can be used, in combination with an initialization…

Optimization and Control · Mathematics 2019-11-21 Mateo Díaz

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

Image restoration has seen great progress in the last years thanks to the advances in deep neural networks. Most of these existing techniques are trained using full supervision with suitable image pairs to tackle a specific degradation.…

Image and Video Processing · Electrical Eng. & Systems 2020-09-11 Leonhard Helminger , Michael Bernasconi , Abdelaziz Djelouah , Markus Gross , Christopher Schroers

The image blurring process is generally modelled as the convolution of a blur kernel with a latent image. Therefore, the estimation of the blur kernel is essentially important for blind image deblurring. Unlike existing approaches which…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Liyuan Pan , Richard Hartley , Miaomiao Liu , Yuchao Dai

As an integral component of blind image deblurring, non-blind deconvolution removes image blur with a given blur kernel, which is essential but difficult due to the ill-posed nature of the inverse problem. The predominant approach is based…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Dong Gong , Zhen Zhang , Qinfeng Shi , Anton van den Hengel , Chunhua Shen , Yanning Zhang

We consider the multichannel blind deconvolution problem where we observe the output of multiple channels that are all excited with the same unknown input. From these observations, we wish to estimate the impulse responses of each of the…

Numerical Analysis · Mathematics 2017-10-04 Kiryung Lee , Ning Tian , Justin Romberg

We propose a solution to the image deconvolution problem where the convolution kernel or point spread function (PSF) is assumed to be only partially known. Small perturbations generated from the model are exploited to produce a few…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Se Un Park , Nicolas Dobigeon , Alfred O. Hero

Blind deconvolution is a technique to recover an original signal without knowing a convolving filter. It is naturally formulated as a minimization of a quartic objective function under some assumption. Because its differentiable part does…

Optimization and Control · Mathematics 2022-09-13 Shota Takahashi , Mirai Tanaka , Shiro Ikeda

In this paper, we consider the problem in defocus image deblurring. Previous classical methods follow two-steps approaches, i.e., first defocus map estimation and then the non-blind deblurring. In the era of deep learning, some researchers…

Computer Vision and Pattern Recognition · Computer Science 2022-07-08 Qian Ye , Masanori Suganuma , Takayuki Okatani

This paper presents a novel stochastic optimisation methodology to perform empirical Bayesian inference in semi-blind image deconvolution problems. Given a blurred image and a parametric class of possible operators, the proposed…

Applications · Statistics 2024-03-12 Charlesquin Kemajou Mbakam , Marcelo Pereyra , Jean-François Giovannelli

The removal of blur from a signal, in the presence of noise, is readily accomplished if the blur can be described in precise mathematical terms. However, there is growing interest in problems where the extent of blur is known only…

Statistics Theory · Mathematics 2007-11-06 Peter Hall , Peihua Qiu

In recent years, deep neural network-based restoration methods have achieved state-of-the-art results in various image deblurring tasks. However, one major drawback of deep learning-based deblurring networks is that large amounts of…

Computer Vision and Pattern Recognition · Computer Science 2022-09-21 Nithin Gopalakrishnan Nair , Rajeev Yasarla , Vishal M. Patel

Blind deconvolution is a ubiquitous problem of recovering two unknown signals from their convolution. Unfortunately, this is an ill-posed problem in general. This paper focuses on the {\em short and sparse} blind deconvolution problem,…

Signal Processing · Electrical Eng. & Systems 2019-07-23 Yuqian Zhang , Han-Wen Kuo , John Wright

The task of image deblurring is a very ill-posed problem as both the image and the blur are unknown. Moreover, when pictures are taken in the wild, this task becomes even more challenging due to the blur varying spatially and the occlusions…

Computer Vision and Pattern Recognition · Computer Science 2017-08-30 Mehdi Noroozi , Paramanand Chandramouli , Paolo Favaro

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

The deep image prior was recently introduced as a prior for natural images. It represents images as the output of a convolutional network with random inputs. For "inference", gradient descent is performed to adjust network parameters to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Zezhou Cheng , Matheus Gadelha , Subhransu Maji , Daniel Sheldon

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