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Gaussian Processes (GPs) are powerful non-parametric Bayesian models for regression of scalar fields, formulated under the assumption that measurement locations are perfectly known and the corresponding field measurements have Gaussian…

Robotics · Computer Science 2026-01-29 Muzaffar Qureshi , Tochukwu Elijah Ogri , Kyle Volle , Rushikesh Kamalapurkar

Reliable image geolocation is crucial for several applications, ranging from social media geo-tagging to fake news detection. State-of-the-art geolocation methods surpass human performance on the task of geolocation estimation from images.…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Apostolos Panagiotopoulos , Giorgos Kordopatis-Zilos , Symeon Papadopoulos

Classical clocks measure proper time along their worldline, and Riemannian geometry provides tools for predicting the time shown by clocks in both flat and curved spacetimes. Common approaches to time in quantum systems, based for instance…

General Relativity and Quantum Cosmology · Physics 2025-01-14 Joseph Balsells , Martin Bojowald

Cross-resolution image alignment is a key problem in multiscale gigapixel photography, which requires to estimate homography matrix using images with large resolution gap. Existing deep homography methods concatenate the input images or…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Ruizhi Shao , Gaochang Wu , Yuemei Zhou , Ying Fu , Yebin Liu

The estimation of potential fields such as the gravitational or magnetic potential at the surface of a spherical planet from noisy observations taken at an altitude over an incomplete portion of the globe is a classic example of an…

Statistics Theory · Mathematics 2009-11-11 Frederik J Simons , F. A. Dahlen

We describe new approaches for distances between pairs of 2-dimensional surfaces (embedded in 3-dimensional space) that use local structures and global information contained in inter-structure geometric relationships. We present algorithms…

Numerical Analysis · Mathematics 2015-05-30 D. Boyer , Y. Lipman , E. St. Clair , J. Puente , T. Funkhouser , B. Patel , J. Jernvall , I. Daubechies

Spatial autocorrelation and spatial interaction are two important analytical processes for geographical analyses. However, the internal relations between the two types of models have not been brought to light. This paper is devoted to…

Physics and Society · Physics 2020-11-17 Yanguang Chen

The Fr\'echet distance is a popular similarity measure that is well-understood for polygonal curves in $\mathbb{R}^d$: near-quadratic time algorithms exist, and conditional lower bounds suggest that these results cannot be improved…

Computational Geometry · Computer Science 2025-05-09 Thijs van der Horst , Marc van Kreveld , Tim Ophelders , Bettina Speckmann

Planet-scale photo geolocalization is the complex task of estimating the location depicted in an image solely based on its visual content. Due to the success of convolutional neural networks (CNNs), current approaches achieve super-human…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Jonas Theiner , Eric Mueller-Budack , Ralph Ewerth

Flight height is a fundamental parameter for correcting the gamma signal produced by terrestrial radionuclides measured during airborne surveys. The frontiers of radiometric measurements with UAV require light and accurate altimeters flying…

In this abstract, we propose a multiscale fusion technique to enhance seismic geometric attributes, such as dip and curvature, which are very sensitive to noise present in seismic data. For a give seismic section, first, we construct a…

Image and Video Processing · Electrical Eng. & Systems 2019-02-05 Motaz Alfarraj , Haibin Di , Ghassan AlRegib

In [Heimann, Lehrenfeld, Preu{\ss}, SIAM J. Sci. Comp. 45(2), 2023, B139 - B165] new geometrically unfitted space-time Finite Element methods for partial differential equations posed on moving domains of higher-order accuracy in space and…

Numerical Analysis · Mathematics 2025-03-14 Fabian Heimann , Christoph Lehrenfeld

We develop, in the context of general relativity, the notion of a geoid -- a surface of constant "gravitational potential". In particular, we show how this idea naturally emerges as a specific choice of a previously proposed, more general…

General Relativity and Quantum Cosmology · Physics 2016-06-10 Marius Oltean , Richard J. Epp , Paul L. McGrath , Robert B. Mann

Spatial audio quality is a highly multifaceted concept, with many interactions between environmental, geometrical, anatomical, psychological, and contextual considerations. Methods for characterization or evaluation of the geometrical…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-27 Karn N. Watcharasupat , Alexander Lerch

We show that the sensitivity of an atomic clock can be enhanced below the shot-noise level by initially squeezing, and then measuring in output, the population of a single atomic level. This can simplify current experimental protocols which…

Quantum Physics · Physics 2010-05-03 L. Pezze , A. Smerzi

This study introduces a novel approach to terrain feature classification by incorporating spatial point pattern statistics into deep learning models. Inspired by the concept of location encoding, which aims to capture location…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Sizhe Wang , Wenwen Li

In the last decades, the development of smartphones, drones, aerial patrols, and digital cameras enabled high-quality photographs available to large populations and, thus, provides an opportunity to collect massive data of the nature and…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Behzad Golparvar , Ruo-Qian Wang

Context: Low-frequency radio observations are heavily impacted by the ionosphere, where dispersive delays can outpace even instrumental clock offsets, posing a serious calibration challenge. Especially below 100 MHz, phase unwrapping…

Instrumentation and Methods for Astrophysics · Physics 2025-10-03 C. M. Cordun , M. A. Brentjens , H. K. Vedantham , M. Mevius

With the rise of the Internet of Things, strategies for effectively processing big data are essential for discovering meaningul insights. The time series datasets produced by groups of interconnected devices contain valuable underlying…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Turner Richmond , Namita Lokare , Qian Ge , Edgar Lobaton