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Super-resolution is a classical problem in image processing, with numerous applications to remote sensing image enhancement. Here, we address the super-resolution of irregularly-sampled remote sensing images. Using an optimal interpolation…

Machine Learning · Statistics 2017-09-28 Manuel López-Radcenco , Ronan Fablet , Abdeldjalil Aïssa-El-Bey , Pierre Ailliot

For the first time, this paper investigates the phase retrieval problem with the assumption that the phase (of the complex signal) is sparse in contrast to the sparsity assumption on the signal itself as considered in the literature of…

Optimization and Control · Mathematics 2019-01-29 Hieu Thao Nguyen , D. Russell Luke , Oleg Soloviev , Michel Verhaegen

Historically, the resolution of optical imaging systems was dictated by diffraction, and the Rayleigh criterion was long considered an unsurpassable limit. In superresolution microscopy, this limit is overcome by manipulating the emission…

We propose a variational approach to obtain super-resolution images from multiple low-resolution frames extracted from video clips. First the displacement between the low-resolution frames and the reference frame are computed by an optical…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Rui Zhao , Raymond H. Chan

In this paper, we introduce a novel implicit neural network for the task of single image super-resolution at arbitrary scale factors. To do this, we represent an image as a decoding function that maps locations in the image along with their…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Quan H. Nguyen , William J. Beksi

Recent advances in self-supervised learning, predominantly studied in high-level visual tasks, have been explored in low-level image processing. This paper introduces a novel self-supervised constraint for single image super-resolution,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Gang Wu , Junjun Jiang , Kui Jiang , Xianming Liu

We consider the problem of reconstructing one-dimensional point sources from their Fourier measurements in a bounded interval $[-\Omega, \Omega]$. This problem is known to be challenging in the regime where the spacing of the sources is…

Signal Processing · Electrical Eng. & Systems 2024-06-11 Zetao Fei , Hai Zhang

We focus on coherent direction of arrival estimation of wideband sources based on spatial sparsity. This area of research is encountered in many applications such as passive radar, sonar, mining, and communication problems, in which an…

Signal Processing · Electrical Eng. & Systems 2024-01-18 Milad Javadzadeh Jirhandeh , Mohammad Hossein Kahaei

This paper studies sensor calibration in spectral estimation where the true frequencies are located on a continuous domain. We consider a uniform array of sensors that collects measurements whose spectrum is composed of a finite number of…

Information Theory · Computer Science 2019-01-15 Yonina C. Eldar , Wenjing Liao , Sui Tang

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

This paper presents a fast algorithm to solve a spectral estimation problem for two-dimensional random fields. The latter is formulated as a convex optimization problem with the Itakura-Saito pseudodistance as the objective function subject…

Numerical Analysis · Mathematics 2021-10-01 Bin Zhu , Jiahao Liu

Phaseless super-resolution refers to the problem of superresolving a signal from only its low-frequency Fourier magnitude measurements. In this paper, we consider the phaseless super-resolution problem of recovering a sum of sparse Dirac…

Information Theory · Computer Science 2016-09-28 Myung Cho , Christos Thrampoulidis , Weiyu Xu , Babak Hassibi

The phase retrieval problem in the presence of noise aims to recover the signal vector of interest from a set of quadratic measurements with infrequent but arbitrary corruptions, and it plays an important role in many scientific…

Machine Learning · Statistics 2024-09-04 Zhong Zheng , Lingzhou Xue

We address the ambiguities in the super-resolution problem under translation. We demonstrate that combinations of low-resolution images at different scales can be used to make the super-resolution problem well posed. Such differences in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Daniel Fu , Gabby Litterio , Pedro Felzenszwalb , Rashid Zia

We study the problem of identifying the parameters of a linear system from its response to multiple unknown waveforms. We assume that the system response is a scaled superposition of time-delayed and frequency-shifted versions of the…

Information Theory · Computer Science 2022-05-25 Mohamed A. Suliman , Wei Dai

Given 2D point correspondences between an image pair, inferring the camera motion is a fundamental issue in the computer vision community. The existing works generally set out from the epipolar constraint and estimate the essential matrix,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Guangyang Zeng , Qingcheng Zeng , Xinghan Li , Biqiang Mu , Jiming Chen , Ling Shi , Junfeng Wu

Already since the work by Abbe and Rayleigh the difficulty of super resolution where one wants to recover a collection of point sources from low-resolved microscopy measurements is thought to be dependent on whether the distance between the…

Numerical Analysis · Mathematics 2023-11-07 Mathias Hockmann

Modern Earth observation satellites capture multi-exposure bursts of push-frame images that can be super-resolved via computational means. In this work, we propose a super-resolution method for such multi-exposure sequences, a problem that…

Computer Vision and Pattern Recognition · Computer Science 2022-05-05 Ngoc Long Nguyen , Jérémy Anger , Axel Davy , Pablo Arias , Gabriele Facciolo

We consider the limits of super-resolution using imaging constraints. Due to various theoretical and practical limitations, reconstruction-based methods have been largely restricted to small increases in resolution. In addition, motion-blur…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Gabby Litterio , Juan-David Lizarazo-Ferro , Pedro Felzenszwalb , Rashid Zia

Frequency estimation from measurements corrupted by noise is a fundamental challenge across numerous engineering and scientific fields. Among the pivotal factors shaping the resolution capacity of any frequency estimation technique are…

Signal Processing · Electrical Eng. & Systems 2024-09-23 Sampath Kumar Dondapati , Omkar Nitsure , Satish Mulleti