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We study blind deconvolution of signals defined on the nodes of an undirected graph. Although observations are bilinear functions of both unknowns, namely the forward convolutional filter coefficients and the graph signal input, a filter…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Chang Ye , Gonzalo Mateos

We introduce a novel learning-based method to reconstruct the high-quality geometry and complex, spatially-varying BRDF of an arbitrary object from a sparse set of only six images captured by wide-baseline cameras under collocated point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Sai Bi , Zexiang Xu , Kalyan Sunkavalli , David Kriegman , Ravi Ramamoorthi

We focus on an alignment-free method to estimate the underlying signal from a large number of noisy randomly shifted observations. Specifically, we estimate the mean, power spectrum, and bispectrum of the signal from the observations. Since…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Hua Chen , Mona Zehni , Zhizhen Zhao

This work concerns noise reduction for one-dimensional spectra in the case that the signal is corrupted by an additive white noise. The proposed method starts with mapping the noisy spectrum to a partial circulant matrix. In virtue of…

Data Analysis, Statistics and Probability · Physics 2020-10-29 X. C. Chen , Yu. A. Litvinov , M. Wang , Q. Wang , Y. H. Zhang

Blind deconvolution is the problem of recovering a sharp image and a blur kernel from a noisy blurry image. Recently, there has been a significant effort on understanding the basic mechanisms to solve blind deconvolution. While this effort…

Computer Vision and Pattern Recognition · Computer Science 2014-12-02 Daniele Perrone , Paolo Favaro

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

High-resolution array detectors are widely used in single-particle tracking, but their performance is limited by excess noise from background light and dark current. As pixel resolution increases, the diminished signal per pixel exacerbates…

Quantum Physics · Physics 2025-12-16 Chao-Ning Hu , Jun Xin , Xiao-Ming Lu

Using a Bayesian approach, we consider the problem of recovering sparse signals under additive sparse and dense noise. Typically, sparse noise models outliers, impulse bursts or data loss. To handle sparse noise, existing methods…

Machine Learning · Statistics 2015-01-13 Martin Sundin , Saikat Chatterjee , Magnus Jansson

Estimating parameters and properties of various materials without causing damage to the material under test (MUT) is important in many applications. Thus, in this letter, we address this by wireless sensing. Here, the accuracy of the…

Signal Processing · Electrical Eng. & Systems 2020-10-29 Udaya S. K. P. Miriya Thanthrige , Jan Barowski , Ilona Rolfes , Daniel Erni , Thomas Kaiser , Aydin Sezgin

In this paper, we consider an intelligent reflecting surface (IRS)-aided single-user system where an IRS with discrete phase shifts is deployed to assist the uplink communication. A practical transmission protocol is proposed to execute…

Information Theory · Computer Science 2019-12-24 Changsheng You , Beixiong Zheng , Rui Zhang

Total variation (TV) denoising is a nonparametric smoothing method that has good properties for preserving sharp edges and contours in objects with spatial structures like natural images. The estimate is sparse in the sense that TV…

Methodology · Statistics 2016-05-06 Sylvain Sardy , Hatef Monajemi

Super-resolution techniques overcome the diffraction-limit and get very high resolutions. A category of these techniques, e.g., STED achieves this by creating an illumination spot smaller than the Airy Disk. As a result, points are…

Image and Video Processing · Electrical Eng. & Systems 2019-11-20 Yaohua Xie

Video prediction is a pixel-wise dense prediction task to infer future frames based on past frames. Missing appearance details and motion blur are still two major problems for current predictive models, which lead to image distortion and…

Computer Vision and Pattern Recognition · Computer Science 2020-05-25 Beibei Jin , Yu Hu , Qiankun Tang , Jingyu Niu , Zhiping Shi , Yinhe Han , Xiaowei Li

This work gives a blind beamforming strategy for intelligent reflecting surface (IRS), aiming to boost the received signal-to-noise ratio (SNR) by coordinating phase shifts across reflective elements in the absence of channel information.…

Information Theory · Computer Science 2022-11-04 Shuyi Ren , Kaiming Shen , Yaowen Zhang , Xin Li , Xin Chen , Zhi-Quan Luo

Denoising, detrending, deconvolution: usual restoration tasks, traditionally decoupled. Coupled formulations entail complex ill-posed inverse problems. We propose PENDANTSS for joint trend removal and blind deconvolution of sparse peak-like…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Paul Zheng , Emilie Chouzenoux , Laurent Duval

This work considers the multi-channel blind deconvolution problem under the assumption that the channels are short. First, we investigate the ill-posedness issues inherent to blind deconvolution problems and sufficient and necessary…

Signal Processing · Electrical Eng. & Systems 2019-02-27 Antoine Paris , Laurent Jacques

Blind deconvolution involves the estimation of a sharp signal or image given only a blurry observation. Because this problem is fundamentally ill-posed, strong priors on both the sharp image and blur kernel are required to regularize the…

Computer Vision and Pattern Recognition · Computer Science 2013-05-13 David Wipf , Haichao Zhang

Spectral computed tomography (CT) is an emerging technology capable of providing high chemical specificity, which is crucial for many applications such as detecting threats in luggage. This type of application requires both fast and…

Image and Video Processing · Electrical Eng. & Systems 2021-03-30 Wail Mustafa , Christian Kehl , Ulrik Lund Olsen , Søren Kimmer Schou Gregersen , David Malmgren-Hansen , Jan Kehres , Anders Bjorholm Dahl

Denoising, detrending, deconvolution: usual restoration tasks, traditionally decoupled. Coupled formulations entail complex ill-posed inverse problems. We propose PENDANTSS for joint trend removal and blind deconvolution of sparse peak-like…

Signal Processing · Electrical Eng. & Systems 2023-07-06 Paul Zheng , Emilie Chouzenoux , Laurent Duval

Seismic deconvolution is an essential step in seismic data processing that aims to extract layer information from noisy observed traces. In general, this is an ill-posed problem with non-unique solutions. Due to the sparse nature of the…

Signal Processing · Electrical Eng. & Systems 2023-07-20 Peimeng Guan , Naveed Iqbal , Mark A. Davenport , Mudassir Masood