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Related papers: Revisiting Bayesian Blind Deconvolution

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Blind deconvolution (BD) arises in many applications. Without assumptions on the signal and the filter, BD does not admit a unique solution. In practice, subspace or sparsity assumptions have shown the ability to reduce the search space and…

Information Theory · Computer Science 2015-12-24 Yanjun Li , Kiryung Lee , Yoram Bresler

Blind pansharpening addresses the problem of generating a high spatial-resolution multi-spectral (HRMS) image given a low spatial-resolution multi-spectral (LRMS) image with the guidance of its associated spatially misaligned high…

Computer Vision and Pattern Recognition · Computer Science 2021-08-03 Lantao Yu , Dehong Liu , Hassan Mansour , Petros T. Boufounos

Spectral deconvolution is essential for extracting peak structures that encode material properties and chemical structures, but conventional automated methods often fail when spectra contain high-intensity noise or unknown background…

Data Analysis, Statistics and Probability · Physics 2026-05-19 Hayato Okubo , Yoshifumi Amamoto , Toshimitsu Aritake , Hiroyuki Kumazoe , Shiryu Nakano , Evan Jamison , Satoshi Tanaka , Yoh-ichi Mototake

In computer-aided diagnosis (CAD) focused on microscopy, denoising improves the quality of image analysis. In general, the accuracy of this process may depend both on the experience of the microscopist and on the equipment sensitivity and…

Image and Video Processing · Electrical Eng. & Systems 2021-05-04 Fabio Hernán Gil Zuluaga , Francesco Bardozzo , Jorge Iván Ríos Patiño , Roberto Tagliaferri

The practical impact of deep learning on complex supervised learning problems has been significant, so much so that almost every Artificial Intelligence problem, or at least a portion thereof, has been somehow recast as a deep learning…

Machine Learning · Statistics 2018-03-19 Housam Khalifa Bashier Babiker , Randy Goebel

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

In this work, we address the challenging problem of blind deconvolution for color images. Existing methods often convert color images to grayscale or process each color channel separately, which overlooking the relationships between color…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Yuming Yang , Michael K. Ng , Zhigang Jia , Wei Wang

This paper focuses on solving a challenging problem of blind deconvolution demixing involving modulated inputs. Specifically, multiple input signals $s_n(t)$, each bandlimited to $B$ Hz, are modulated with known random sequences $r_n(t)$…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Humera Hameed , Ali Ahmed

Deep learning models, such as convolutional neural networks, have long been applied to image and multi-media tasks, particularly those with structured data. More recently, there has been more attention to unstructured data that can be…

Machine Learning · Computer Science 2021-09-17 Rohitash Chandra , Ayush Bhagat , Manavendra Maharana , Pavel N. Krivitsky

In this work we explore the previously proposed approach of direct blind deconvolution and denoising with convolutional neural networks in a situation where the blur kernels are partially constrained. We focus on blurred images from a…

Computer Vision and Pattern Recognition · Computer Science 2016-02-26 Pavel Svoboda , Michal Hradis , Lukas Marsik , Pavel Zemcik

Most of the existing blind image Super-Resolution (SR) methods assume that the blur kernels are space-invariant. However, the blur involved in real applications are usually space-variant due to object motion, out-of-focus, etc., resulting…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Xuhai Chen , Jiangning Zhang , Chao Xu , Yabiao Wang , Chengjie Wang , Yong Liu

We have shown that the left side null space of the autoregression (AR) matrix operator is the lexicographical presentation of the point spread function (PSF) on condition the AR parameters are common for original and blurred images. The…

Computer Vision and Pattern Recognition · Computer Science 2012-06-19 Yu. A. Bunyak , O. Yu. Sofina , R. N. Kvetnyy

With the advent of recent advances in unsupervised learning, efficient training of a deep network for image denoising without pairs of noisy and clean images has become feasible. However, most current unsupervised denoising methods are…

Image and Video Processing · Electrical Eng. & Systems 2020-12-08 Kanggeun Lee , Won-Ki Jeong

This study addresses the problem of discrete signal reconstruction from the perspective of sparse Bayesian learning (SBL). Generally, it is intractable to perform the Bayesian inference with the ideal discretization prior under the SBL…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Jisheng Dai , An Liu , Hing Cheung So

Recently, deep neural networks have achieved excellent performance on low-light raw video enhancement. However, they often come with high computational complexity and large memory costs, which hinder their applications on resource-limited…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Gengchen Zhang , Yulun Zhang , Xin Yuan , Ying Fu

This paper deals with problem of blind identification of a graph filter and its sparse input signal, thus broadening the scope of classical blind deconvolution of temporal and spatial signals to irregular graph domains. While the…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Chang Ye , Rasoul Shafipour , Gonzalo Mateos

In this contribution, we consider the problem of blind source separation in a Bayesian estimation framework. The wavelet representation allows us to assign an adequate prior distribution to the wavelet coefficients of the sources. MCMC…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Mahieddine M. Ichir , Ali Mohammad-Djafari

Uncertainty quantification in inverse medical imaging tasks with deep learning has received little attention. However, deep models trained on large data sets tend to hallucinate and create artifacts in the reconstructed output that are not…

Image and Video Processing · Electrical Eng. & Systems 2020-08-21 Max-Heinrich Laves , Malte Tölle , Tobias Ortmaier

The blind deconvolution problem seeks to recover a pair of vectors from a set of rank one bilinear measurements. We consider a natural nonsmooth formulation of the problem and show that under standard statistical assumptions, its moduli of…

Optimization and Control · Mathematics 2019-01-21 Vasileios Charisopoulos , Damek Davis , Mateo Díaz , Dmitriy Drusvyatskiy

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues…

Numerical Analysis · Mathematics 2023-03-07 Jan Glaubitz , Anne Gelb , Guohui Song