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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 pivotal step in image super-resolution techniques is interpolation, which aims at generating high resolution images without introducing artifacts such as blurring and ringing. In this paper, we propose a technique that performs…

Image and Video Processing · Electrical Eng. & Systems 2020-03-23 Sobhan Kanti Dhara , Debashis Sen

Image Quality Assessment (IQA) constitutes a fundamental task within the field of computer vision, yet it remains an unresolved challenge, owing to the intricate distortion conditions, diverse image contents, and limited availability of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Kangmin Xu , Liang Liao , Jing Xiao , Chaofeng Chen , Haoning Wu , Qiong Yan , Weisi Lin

Image inpainting, the task of reconstructing missing segments in corrupted images using available data, faces challenges in ensuring consistency and fidelity, especially under information-scarce conditions. Traditional evaluation methods,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Tianyi Chen , Jianfu Zhang , Yan Hong , Yiyi Zhang , Liqing Zhang

The problem of accurate nonparametric estimation of distributional functionals (integral functionals of one or more probability distributions) has received recent interest due to their wide applicability in signal processing, information…

Information Theory · Computer Science 2017-07-12 Kevin R. Moon , Kumar Sricharan , Alfred O. Hero

Utilization of event-based cameras is expected to improve the visual quality of video frame interpolation solutions. We introduce a learning-based method to exploit moving region boundaries in a video sequence to increase the overall…

Image and Video Processing · Electrical Eng. & Systems 2023-03-06 Ahmet Akman , Onur Selim Kılıç , A. Aydın Alatan

Aggregating different image features for image retrieval has recently shown its effectiveness. While highly effective, though, the question of how to uplift the impact of the best features for a specific query image persists as an open…

Computer Vision and Pattern Recognition · Computer Science 2018-08-16 Leulseged Tesfaye Alemu , Marcello Pelillo

Recently, video frame interpolation using a combination of frame- and event-based cameras has surpassed traditional image-based methods both in terms of performance and memory efficiency. However, current methods still suffer from (i)…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Stepan Tulyakov , Alfredo Bochicchio , Daniel Gehrig , Stamatios Georgoulis , Yuanyou Li , Davide Scaramuzza

Assessing the quality of aperture synthesis maps is relevant for benchmarking image reconstruction algorithms, for the scientific exploitation of data from optical long-baseline interferometers, and for the design/upgrade of new/existing…

Instrumentation and Methods for Astrophysics · Physics 2017-02-22 Nuno Gomes , Paulo J. V. Garcia , Éric Thiébaut

Quantum imaging has a potential of enhancing precision of the object reconstruction by using quantum correlations of the imaging field. This is especially important for imaging requiring low-intensity fields up to the level of few-photons.…

In this paper, we present an interpolation scheme for FRQI images based on bilinear interpolation. To accomplish this, we formulated several quantum modules, i.e., assignment module, increment module, and quarter module, and suffused them…

Quantum Physics · Physics 2020-10-21 Fei Yan , Shan Zhao , Salvador E. Venegas-Andraca

Learning-based image quality assessment (IQA) has made remarkable progress in the past decade, but nearly all consider the two key components -- model and data -- in isolation. Specifically, model-centric IQA focuses on developing…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Peibei Cao , Dingquan Li , Kede Ma

Estimators based on influence functions (IFs) have been shown to be effective in many settings, especially when combined with machine learning techniques. By focusing on estimating a specific target of interest (e.g., the average effect of…

Methodology · Statistics 2019-10-29 Aaron Fisher , Edward H. Kennedy

We describe a variation of the iterative closest point (ICP) algorithm for aligning two point sets under a set of transformations. Our algorithm is superior to previous algorithms because (1) in determining the optimal alignment, it…

Graphics · Computer Science 2009-09-29 Jeff M. Phillips , Ran Liu , Carlo Tomasi

Fixpoints are ubiquitous in computer science and when dealing with quantitative semantics and verification one often considers least fixpoints of (higher-dimensional) functions over the non-negative reals. We show how to approximate the…

Logic in Computer Science · Computer Science 2025-06-16 Paolo Baldan , Sebastian Gurke , Barbara König , Tommaso Padoan , Florian Wittbold

In interpretation of remote sensing images, it is possible that some images which are supplied by different sensors become incomprehensible. For better visual perception of these images, it is essential to operate series of pre-processing…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Mohammad Reza Khosravi , Mohammad Sharif-Yazd , Mohammad Kazem Moghimi , Ahmad Keshavarz , Habib Rostami , Suleiman Mansouri

We study algorithms to estimate geometric properties of raw point cloud data through implicit surface representations. Given that any level-set function with a constant level set corresponding to the surface can be used for such…

Numerical Analysis · Mathematics 2026-04-02 Alex Shiu Lun Chu , Leevan Ling , Ka Chun Cheung

The optimal one-sided parametric polynomial approximants of a circular arc are considered. More precisely, the approximant must be entirely in or out of the underlying circle of an arc. The natural restriction to an arc's approximants…

Numerical Analysis · Mathematics 2025-09-03 Ada Šadl Praprotnik , Aleš Vavpetič , Emil Žagar

Deep-learning based techniques have contributed to the remarkable progress in the field of automatic image quality assessment (IQA). Existing IQA methods are designed to measure the quality of an image in terms of Mean Opinion Score (MOS)…

Image and Video Processing · Electrical Eng. & Systems 2022-06-15 Wook-Hyung Kim , Cheul-hee Hahm , Anant Baijal , Namuk Kim , Ilhyun Cho , Jayoon Koo

Several metrics exist to quantify the similarity between images, but they are inefficient when it comes to measure the similarity of highly distorted images. In this work, we propose to empirically investigate perceptual metrics based on…

Computer Vision and Pattern Recognition · Computer Science 2022-02-18 Rémi Kazmierczak , Gianni Franchi , Nacim Belkhir , Antoine Manzanera , David Filliat