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In super-resolution it is necessary to locate with high precision point sources from noisy observations of the spectrum of the signal at low frequencies capped by f_c. In the case when the point sources are positive and are located on a…

Information Theory · Computer Science 2020-05-15 Veniamin I. Morgenshtern

The problem of 1-bit compressive sampling is addressed in this paper. We introduce an optimization model for reconstruction of sparse signals from 1-bit measurements. The model targets a solution that has the least l0-norm among all signals…

Information Theory · Computer Science 2013-02-07 Lixin Shen , Bruce W. Suter

This paper studies the problem of exact localization of sparse (point or extended) objects with noisy data. The crux of the proposed approach consists of random illumination. Several recovery methods are analyzed: the Lasso, BPDN and the…

Information Theory · Computer Science 2015-05-19 Albert Fannjiang

The problem of super-resolution is concerned with the reconstruction of temporally/spatially localized events (or spikes) from samples of their convolution with a low-pass filter. Distinct from prior works which exploit sparsity in…

Signal Processing · Electrical Eng. & Systems 2023-03-06 Pulak Sarangi , Ryoma Hattori , Takaki Komiyama , Piya Pal

Diffusion models (DM) have achieved remarkable promise in image super-resolution (SR). However, most of them are tailored to solving non-blind inverse problems with fixed known degradation settings, limiting their adaptability to real-world…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Feng Li , Yixuan Wu , Zichao Liang , Runmin Cong , Huihui Bai , Yao Zhao , Meng Wang

Preserving accuracy is a challenging issue in super resolution images. In this paper, we propose a new FFT based image registration algorithm and a sparse based super resolution algorithm to improve the accuracy of super resolution image.…

Computer Vision and Pattern Recognition · Computer Science 2014-07-15 Archana Vijayan , Vincy Salam

We consider the problem of signal reconstruction for a system under sparse signal corruption by a malicious agent. The reconstruction problem follows the standard error coding problem that has been studied extensively in the literature. We…

Optimization and Control · Mathematics 2023-04-28 Yu Zheng , Olugbenga Moses Anubi , Lalit Mestha , Hema Achanta

This study presents a new image super-resolution (SR) technique based on diffusion inversion, aiming at harnessing the rich image priors encapsulated in large pre-trained diffusion models to improve SR performance. We design a Partial noise…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Zongsheng Yue , Kang Liao , Chen Change Loy

We consider the problem of finding a sparse solution for an underdetermined linear system of equations when the known parameters on both sides of the system are subject to perturbation. This problem is particularly relevant to…

Systems and Control · Computer Science 2016-06-16 Reza Arablouei

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

We investigate a compressive sensing framework in which the sensors introduce a distortion to the measurements in the form of unknown gains. We focus on blind calibration, using measures performed on multiple unknown (but sparse) signals…

Information Theory · Computer Science 2014-08-26 Cagdas Bilen , Gilles Puy , Rémi Gribonval , Laurent Daudet

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

Image super-resolution (SR) is one of the long-standing and active topics in image processing community. A large body of works for image super resolution formulate the problem with Bayesian modeling techniques and then obtain its…

Computer Vision and Pattern Recognition · Computer Science 2012-09-20 Haichao Zhang , David Wipf , Yanning Zhang

The problem of image blurring is one of the most studied topics in the field of image processing. Image blurring is caused by various factors such as hand or camera shake. To restore the blurred image, it is necessary to know information…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 M. Zarebnia , R. Parvaz

Multichannel blind deconvolution is the problem of recovering an unknown signal $f$ and multiple unknown channels $x_i$ from their circular convolution $y_i=x_i \circledast f$ ($i=1,2,\dots,N$). We consider the case where the $x_i$'s are…

Information Theory · Computer Science 2019-03-19 Yanjun Li , Yoram Bresler

In this paper, we study blind channel-and-signal estimation by exploiting the burst-sparse structure of angular-domain propagation channels in massive MIMO systems. The state-of-the-art approach utilizes the structured channel sparsity by…

Information Theory · Computer Science 2019-09-04 Hang Liu , Xiaojun Yuan , Ying-Jun Angela Zhang

In this paper we propose a blind deconvolution method which applies to data perturbed by Poisson noise. The objective function is a generalized Kullback-Leibler divergence, depending on both the unknown object and unknown point spread…

Instrumentation and Methods for Astrophysics · Physics 2013-11-25 M. Prato , A. La Camera , S. Bonettini , M. Bertero

Conventional super-resolution methods suffer from two drawbacks: substantial computational cost in upscaling an entire large image, and the introduction of extraneous or potentially detrimental information for downstream computer vision…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Tianyi Zhang , Kishore Kasichainula , Yaoxin Zhuo , Baoxin Li , Jae-sun Seo , Yu Cao

We develop an algorithm for single-image superresolution of remotely sensed data, based on the discrete shearlet transform. The shearlet transform extracts directional features of signals, and is known to provide near-optimally sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Wojciech Czaja , James M. Murphy , Daniel Weinberg

We describe a novel method for blind, single-image spectral super-resolution. While conventional super-resolution aims to increase the spatial resolution of an input image, our goal is to spectrally enhance the input, i.e., generate an…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Silvano Galliani , Charis Lanaras , Dimitrios Marmanis , Emmanuel Baltsavias , Konrad Schindler
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