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This work considers a super-resolution framework for overcomplete tensor decomposition. Specifically, we view tensor decomposition as a super-resolution problem of recovering a sum of Dirac measures on the sphere and solve it by minimizing…

Information Theory · Computer Science 2022-02-09 Qiuwei Li , Ashley Prater , Lixin Shen , Gongguo Tang

We propose a methodology that exploits large and diverse data sets to accurately estimate the ambient medium's Green's functions in strongly scattering media. Given these estimates, obtained with and without the use of neural networks,…

Machine Learning · Computer Science 2024-12-05 Alexander Christie , Matan Leibovich , Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

In this paper, we introduce a computational framework for recovering a high-resolution approximation of an unknown function from its low-resolution indirect measurements as well as high-resolution training observations by merging the…

Statistics Theory · Mathematics 2021-10-15 Milana Gataric

Reconstruction of undersampled periodic signals of unknown period is an important signal processing operation. It is especially difficult operation when the sequences of samples are short and no information on the inter-sequence time…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Marek W. Rupniewski

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

This paper is concerned with investigating super-resolution algorithms and solutions for handling electron microscopic images. We note two main aspects differentiating the problem discussed here from those considered in the literature. The…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Yanjun Qian , Jiaxi Xu , Lawrence F. Drummy , Yu Ding

Deep learning methods have been successfully applied to various computer vision tasks. However, existing neural network architectures do not per se incorporate domain knowledge about the addressed problem, thus, understanding what the model…

Computer Vision and Pattern Recognition · Computer Science 2019-10-21 Iman Marivani , Evaggelia Tsiligianni , Bruno Cornelis , Nikos Deligiannis

Super-resolution imaging has revolutionized the study of systems ranging from molecular structures to distant galaxies. However, existing super-resolution methods require extensive calibration and retraining for each imaging setup, limiting…

Optics · Physics 2026-03-24 Dominik Vašinka , Filip Juráň , Jaromír Běhal , Miroslav Ježek

Single image super resolution (SR) has seen major performance leaps in recent years. However, existing methods do not allow exploring the infinitely many plausible reconstructions that might have given rise to the observed low-resolution…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Yuval Bahat , Tomer Michaeli

In practice, images can contain different amounts of noise for different color channels, which is not acknowledged by existing super-resolution approaches. In this paper, we propose to super-resolve noisy color images by considering the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Srimanta Mandal , Kuldeep Purohit , A. N. Rajagopalan

We establish fundamental bounds on subwavelength resolution for the radar ranging problem, ``super radar''. Information theoretical metrics are applied to probe the resolution limits for the case of both direct electric field measurement…

Optics · Physics 2024-06-04 Andrew N. Jordan , John C. Howell

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

This paper considers the constrained total variation (TV) denoising problem for complex-valued images. We extend the definition of TV seminorms for real-valued images to dealing with complex-valued ones. In particular, we introduce two…

Image and Video Processing · Electrical Eng. & Systems 2021-09-14 Yunhui Gao , Liangcai Cao

In this paper, we propose a novel approach to hyperspectral image super-resolution by modeling the global spatial-and-spectral correlation and local smoothness properties over hyperspectral images. Specifically, we utilize the tensor…

Computer Vision and Pattern Recognition · Computer Science 2016-01-26 Shiying He , Haiwei Zhou , Yao Wang , Wenfei Cao , Zhi Han

The line spectral estimation problem consists in recovering the frequencies of a complex valued time signal that is assumed to be sparse in the spectral domain from its discrete observations. Unlike the gridding required by the classical…

Information Theory · Computer Science 2021-10-18 Maxime Ferreira Da Costa , Wei Dai

We address the problem of super-resolution of point sources from binary measurements, where random projections of the blurred measurement of the actual signal are encoded using only the sign information. The threshold used for binary…

Information Theory · Computer Science 2016-06-14 Subhadip Mukherjee , Anjany Kumar Sekuboyina , Chandra Sekhar Seelamantula

This paper is about a curious phenomenon. Suppose we have a data matrix, which is the superposition of a low-rank component and a sparse component. Can we recover each component individually? We prove that under some suitable assumptions,…

Information Theory · Computer Science 2009-12-21 Emmanuel J. Candes , Xiaodong Li , Yi Ma , John Wright

High-resolution imagery plays a critical role in improving the performance of visual recognition tasks such as classification, detection, and segmentation. In many domains, including remote sensing and surveillance, low-resolution images…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Ch Muhammad Awais , Marco Reggiannini , Davide Moroni , Oktay Karakus

Super-Resolution is the technique to improve the quality of a low-resolution photo by boosting its plausible resolution. The computer vision community has extensively explored the area of Super-Resolution. However, previous Super-Resolution…

Image and Video Processing · Electrical Eng. & Systems 2022-04-20 Ankur Singh , Piyush Rai

Face super-resolution is a technology that transforms a low-resolution face image into the corresponding high-resolution one. In this paper, we build a novel parsing map guided face super-resolution network which extracts the face prior…

Computer Vision and Pattern Recognition · Computer Science 2023-04-07 Chenyang Wang , Junjun Jiang , Zhiwei Zhong , Deming Zhai , Xianming Liu
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