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Related papers: Blind Deconvolution Meets Blind Demixing: Algorith…

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Richardson-Lucy deconvolution is widely used to restore images from degradation caused by the broadening effects of a point spread function and corruption by photon shot noise, in order to recover an underlying object. In practice, this is…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zachary H. Hendrix , Peter T. Brown , Tim Flanagan , Douglas P. Shepherd , Ayush Saurabh , Steve Pressé

In various learning-based image restoration tasks, such as image denoising and image super-resolution, the degradation representations were widely used to model the degradation process and handle complicated degradation patterns. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-15 Dasong Li , Yi Zhang , Ka Chun Cheung , Xiaogang Wang , Hongwei Qin , Hongsheng Li

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

Currently, many blind deblurring methods assume blurred images are noise-free and perform unsatisfactorily on the blurry images with noise. Unfortunately, noise is quite common in real scenes. A straightforward solution is to denoise images…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Si Miao , Yongxin Zhu

We propose a deblurring method that incorporates gyroscope measurements into a convolutional neural network (CNN). With the help of such measurements, it can handle extremely strong and spatially-variant motion blur. At the same time, the…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Janne Mustaniemi , Juho Kannala , Simo Särkkä , Jiri Matas , Janne Heikkilä

When taking photos under an environment with insufficient light, the exposure time and the sensor gain usually require to be carefully chosen to obtain images with satisfying visual quality. For example, the images with high ISO usually…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Zhilu Zhang , Rongjian Xu , Ming Liu , Zifei Yan , Wangmeng Zuo

In this paper, a fresh procedure to handle image mixtures by means of blind signal separation relying on a combination of second order and higher order statistics techniques are introduced. The problem of blind signal separation is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Felipe P. do Carmo , Joaquim T. de Assis , Vania V. Estrela , Alessandra M. Coelho

Blind image decomposition aims to decompose all components present in an image, typically used to restore a multi-degraded input image. While fully recovering the clean image is appealing, in some scenarios, users might want to retain…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Zeyu Zhang , Junlin Han , Chenhui Gou , Hongdong Li , Liang Zheng

Non-uniform image deblurring is a challenging task due to the lack of temporal and textural information in the blurry image itself. Complementary information from auxiliary sensors such event sensors are being explored to address these…

Computer Vision and Pattern Recognition · Computer Science 2022-08-25 Patricia Vitoria , Stamatios Georgoulis , Stepan Tulyakov , Alfredo Bochicchio , Julius Erbach , Yuanyou Li

A simple hard-thresholding operation is shown to be able to recover $L$ signals $\mathbf{x}_1,...,\mathbf{x}_L \in \mathbb{R}^n$ that share a common support of size $s$ from $m = \mathcal{O}(s)$ one-bit measurements per signal if $L \ge…

Information Theory · Computer Science 2018-09-18 Johannes Maly , Lars Palzer

Using diffusion models to solve inverse problems is a growing field of research. Current methods assume the degradation to be known and provide impressive results in terms of restoration quality and diversity. In this work, we leverage the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Charles Laroche , Andrés Almansa , Eva Coupete

Based on the principles of information theory, measure theory, and theoretical computer science, we introduce a signal deconvolution method with a wide range of applications to coding theory, particularly in zero-knowledge one-way…

Information Theory · Computer Science 2024-12-23 Hector Zenil , Felipe S. Abrahão , Luan C. S. M. Ozelim

We investigate efficient algorithmic realisations for robust deconvolution of grey-value images with known space-invariant point-spread function, with emphasis on 1D motion blur scenarios. The goal is to make deconvolution suitable as…

Computer Vision and Pattern Recognition · Computer Science 2017-09-22 Martin Welk , Patrik Raudaschl , Thomas Schwarzbauer , Martin Erler , Martin Läuter

Blind Source Separation (BSS) is a challenging matrix factorization problem that plays a central role in multichannel imaging science. In a large number of applications, such as astrophysics, current unmixing methods are limited since…

Applications · Statistics 2017-11-22 Ming Jiang , Jérôme Bobin , Jean-Luc Starck

In this work we address the problem of blindly reconstructing compressively sensed signals by exploiting the co-sparse analysis model. In the analysis model it is assumed that a signal multiplied by an analysis operator results in a sparse…

Information Theory · Computer Science 2013-03-27 Julian Wörmann , Simon Hawe , Martin Kleinsteuber

We present an algorithm that efficiently performs blind decoding of MIMO signals. That is, given no channel state information (CSI) at either the transmitter or receiver, our algorithm takes a block of samples and returns an estimate of the…

Signal Processing · Electrical Eng. & Systems 2019-05-10 Thomas Dean , Jonathan Perlstein , Mary Wootters , Andrea Goldsmith

We propose a method for MIMO decoding when channel state information (CSI) is unknown to both the transmitter and receiver. The proposed method requires some structure in the transmitted signal for the decoding to be effective, in…

Signal Processing · Electrical Eng. & Systems 2018-02-06 Thomas R. Dean , Mary Wootters , Andrea J. Goldsmith

This paper concerns the problem of recovering an unknown but structured signal $x \in R^n$ from $m$ quadratic measurements of the form $y_r=|<a_r,x>|^2$ for $r=1,2,...,m$. We focus on the under-determined setting where the number of…

Machine Learning · Computer Science 2017-02-22 Mahdi Soltanolkotabi

Computational sensing strategies often suffer from calibration errors in the physical implementation of their ideal sensing models. Such uncertainties are typically addressed by using multiple, accurately chosen training signals to recover…

Information Theory · Computer Science 2022-05-26 Valerio Cambareri , Laurent Jacques

Defect detection by ultrasonic method is limited by the pulse width. Resolution can be improved through a deconvolution process with a priori information of the pulse or by its estimation. In this paper a regularization of the Wiener filter…

Information Theory · Computer Science 2012-05-17 Roberto H. Herrera , Eduardo Moreno , Héctor Calas , Rubén Orozco