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Surveillance scenarios are prone to several problems since they usually involve low-resolution footage, and there is no control of how far the subjects may be from the camera in the first place. This situation is suitable for the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-27 Angelo G. Menezes

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

In this paper we study the problem of content-based image retrieval. In this problem, the most popular performance measure is the top precision measure, and the most important component of a retrieval system is the similarity function used…

Computer Vision and Pattern Recognition · Computer Science 2016-08-23 Ru-Ze Liang , Lihui Shi , Haoxiang Wang , Jiandong Meng , Jim Jing-Yan Wang , Qingquan Sun , Yi Gu

Super-Resolution (SR) is the problem that consists in reconstructing images that have been degraded by a zoom-out operator. This is an ill-posed problem that does not have a unique solution, and numerical approaches rely on a prior on…

Image and Video Processing · Electrical Eng. & Systems 2024-05-30 Emile Pierret , Bruno Galerne

The optical resolution of a digital camera is one of its most crucial parameters with broad relevance for consumer electronics, surveillance systems, remote sensing, or medical imaging. However, resolution is physically limited by the…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Thomas Köhler

Super-resolution reconstruction techniques entail the utilization of software algorithms to transform one or more sets of low-resolution images captured from the same scene into high-resolution images. In recent years, considerable…

Computer Vision and Pattern Recognition · Computer Science 2024-08-02 Hao Yan , Zixiang Wang , Zhengjia Xu , Zhuoyue Wang , Zhizhong Wu , Ranran Lyu

In this work, we propose a novel procedure for video super-resolution, that is the recovery of a sequence of high-resolution images from its low-resolution counterpart. Our approach is based on a "sequential" model (i.e., each…

Computer Vision and Pattern Recognition · Computer Science 2016-02-16 Patrick Héas , Angélique Drémeau , Cédric Herzet

Consider the task of locating an unknown target point using approximate distance queries: in each round, a reconstructor selects a query point and receives a noisy version of its distance to the target. This problem arises naturally in…

Machine Learning · Computer Science 2025-11-11 Shay Moran , Elizaveta Nesterova

In some super-resolution techniques, adjacent points are illuminated at different times. Thereby, their locations and light intensities can be detected even if the images are very blurred due to diffraction. According to conventional…

Image and Video Processing · Electrical Eng. & Systems 2019-12-10 Edward Y. Sheffield

Many problems in computer vision can be formulated as geometric estimation problems, i.e. given a collection of measurements (e.g. point correspondences) we wish to fit a model (e.g. an essential matrix) that agrees with our observations.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Felix Rydell , Angélica Torres , Viktor Larsson

The ability to resolve detail in the object that is being imaged, named by resolution, is the core parameter of an imaging system. Super-resolution is a class of techniques that can enhance the resolution of an imaging system and even…

Data Structures and Algorithms · Computer Science 2022-10-13 Yaonan Jin , Daogao Liu , Zhao Song

We consider the problem of recovering a signal consisting of a superposition of point sources from low-resolution data with a cut-off frequency f. If the distance between the sources is under 1/f, this problem is not well posed in the sense…

Optimization and Control · Mathematics 2016-09-09 Carlos Fernandez-Granda

One of the main characteristics of optical imaging systems is the spatial resolution, which is restricted by the diffraction limit to approximately half the wavelength of the incident light. Along with the recently developed classical…

Insufficient image spatial resolution is a serious limitation in many practical scenarios, especially when acquiring images at a finer scale is infeasible or brings higher costs. This is inherent to remote sensing, including Sentinel-2…

Image and Video Processing · Electrical Eng. & Systems 2023-11-06 Pawel Kowaleczko , Tomasz Tarasiewicz , Maciej Ziaja , Daniel Kostrzewa , Jakub Nalepa , Przemyslaw Rokita , Michal Kawulok

We propose convex optimization algorithms to recover a good approximation of a point measure $\mu$ on the unit sphere $S\subseteq \mathbb{R}^n$ from its moments with respect to a set of real-valued functions $f_1,\dots, f_m$. Given a finite…

Optimization and Control · Mathematics 2017-10-27 Hernán García , Camilo Hernández , Mauricio Junca , Mauricio Velasco

We consider simultaneously identifying the membership and locations of point sources that are convolved with different low-pass point spread functions, from the observation of their superpositions. This problem arises in three-dimensional…

Information Theory · Computer Science 2015-04-24 Yuanxin Li , Yuejie Chi

We consider approximation or recovery of functions based on a finite number of function evaluations. This is a well-studied problem in optimal recovery, machine learning, and numerical analysis in general, but many fundamental insights were…

Numerical Analysis · Mathematics 2026-04-07 David Krieg , Mario Ullrich

A recurring challenge in self-supervised learning is preventing representation collapse. Existing solutions typically rely on global regularization, such as maximizing distances, decorrelating dimensions or enforcing certain distributions.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Esteban Rodríguez-Betancourt , Edgar Casasola-Murillo

We study the problem of super-resolving a superposition of point sources from noisy low-pass data with a cut-off frequency f. Solving a tractable convex program is shown to locate the elements of the support with high precision as long as…

Information Theory · Computer Science 2013-06-03 Carlos Fernandez-Granda

We study super-resolution multi-reference alignment, the problem of estimating a signal from many circularly shifted, down-sampled, and noisy observations. We focus on the low SNR regime, and show that a signal in $\mathbb{R}^M$ is uniquely…

Information Theory · Computer Science 2020-11-10 Tamir Bendory , Ariel Jaffe , William Leeb , Nir Sharon , Amit Singer