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Statistical modeling often involves identifying an optimal estimate to some underlying probability distribution known to satisfy some given constraints. I show here that choosing as estimate the centroid, or center of mass, of the set…

Methodology · Statistics 2013-10-11 Jonathan Landy

We propose a strategy for optimizing a sensor trajectory in order to estimate the time dependence of a localized scalar source in turbulent channel flow. The approach leverages the view of the adjoint scalar field as the sensitivity of…

Computational Engineering, Finance, and Science · Computer Science 2022-02-21 Constantinos F. Panagiotou , Davide Cerizza , Tamer A. Zaki , Yosuke Hasegawa

Aims. In astronomy, machine learning has been successful in various tasks such as source localisation, classification, anomaly detection, and segmentation. However, feature regression remains an area with room for improvement. We aim to…

Instrumentation and Methods for Astrophysics · Physics 2023-12-20 F. Stoppa , R. Ruiz de Austri , P. Vreeswijk , S. Bhattacharyya , S. Caron , S. Bloemen , G. Zaharijas , G. Principe , V. Vodeb , P. J. Groot , E. Cator , G. Nelemans

Replacing the quadratic proximal penalty familiar from Hilbert spaces by an unbalanced optimal transport distance, we develop forward-backward type optimisation methods in spaces of Radon measures. We avoid the actual computation of the…

Optimization and Control · Mathematics 2025-02-19 Tuomo Valkonen

An important factor which affects performance of solar adaptive optics (AO) systems is the accuracy of tracking an extended object in the wavefront sensor. The accuracy of a centre-ofmass approach to image shift measurement depends on the…

Instrumentation and Methods for Astrophysics · Physics 2015-08-21 M. J. Townson , A. Kellerer , C. D. Saunter

The use of Adaptive Optics in Extremely Large Telescopes brings new challenges, one of which is the treatment of Shack-Hartmann Wavefront sensors images. When using this type of sensors in conjunction with laser guide stars for sampling the…

Instrumentation and Methods for Astrophysics · Physics 2014-04-10 A. T. Mello , A. Kanaan , D. Guzman , A. Guesalaga

We present a robust and fast algorithm for performing astrometry and source cross-identification on two dimensional point lists, such as between a catalogue and an astronomical image, or between two images. The method is based on minimal…

Astrophysics · Physics 2009-11-11 Andras Pal , Gaspar Bakos

We present a new algorithm for estimating the Point Spread Function (PSF) in wide-field astronomical images with extreme source crowding. Robust and accurate PSF estimation in crowded astronomical images dramatically improves the fidelity…

Image and Video Processing · Electrical Eng. & Systems 2021-02-09 Brendt Wohlberg , Przemek Wozniak

In this paper, we generalize the notions of centroids and barycenters to the broad class of information-theoretic distortion measures called Bregman divergences. Bregman divergences are versatile, and unify quadratic geometric distances…

Computational Geometry · Computer Science 2007-11-22 Frank Nielsen , Richard Nock

Proportional fairness criteria inspired by democratic ideals of proportional representation have received growing attention in the clustering literature. Prior work has investigated them in two separate paradigms. Chen et al. [ICML 2019]…

Computer Science and Game Theory · Computer Science 2026-01-05 Benjamin Cookson , Nisarg Shah , Ziqi Yu

Shack-Hartmann wavefront sensing relies on accurate spot centre measurement. Several algorithms were developed with this aim, mostly focused on precision, i.e. minimizing random errors. In the solar and extended scene community, the…

Instrumentation and Methods for Astrophysics · Physics 2018-02-07 Narsireddy Anugu , Paulo J. V. Garcia , Carlos M. Correia

The performance of surface registration relies heavily on the metric used for the alignment error between the source and target shapes. Traditionally, such a metric is based on the point-to-point or point-to-plane distance from the points…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Zhi Deng , Yuxin Yao , Bailin Deng , Juyong Zhang

In this paper, we propose a new algorithm based on radial symmetry center method to track colloidal particles close to contact, where the optical images of the particles start to overlap in digital video microscopy. This overlapping effect…

Instrumentation and Detectors · Physics 2017-10-26 Harun Yücel , Nazmi Turan Okumuşoğlu

Spectroastrometry is a technique which has the potential to resolve flux distributions on scales of milliarcseconds. In this study, we examine the application of spectroastrometry to binary point sources which are spatially unresolved due…

Astrophysics · Physics 2009-11-10 John M. Porter , Rene D. Oudmaijer , Debbie Baines

We suggest efficient and provable methods to compute an approximation for imbalanced point clustering, that is, fitting $k$-centers to a set of points in $\mathbb{R}^d$, for any $d,k\geq 1$. To this end, we utilize \emph{coresets}, which,…

Machine Learning · Computer Science 2025-03-13 David Denisov , Dan Feldman , Shlomi Dolev , Michael Segal

We present a novel, easy-to-use method based on the photon-mapping technique to simulate photometric images of moving targets. Realistic images can be created in two passes: photon tracing and image rendering. The nature of light sources,…

Instrumentation and Methods for Astrophysics · Physics 2021-10-13 Junju Du , Shaoming Hu , Xu Chen , Hai Cao , Yuchen Jiang

Following crop growth through the vegetative cycle allows farmers to predict fruit setting and yield in early stages, but it is a laborious and non-scalable task if performed by a human who has to manually measure fruit sizes with a caliper…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Gonçalo P. Matos , Carlos Santiago , João P. Costeira , Ricardo L. Saldanha , Ernesto M. Morgado

A method for measuring the difference between centroids of polarized flux and total flux of an astronomical object - {\it polaroastrometry} - is proposed. The deviation of the centroid of flux corresponding to Stokes parameter $Q$ or $U$…

Instrumentation and Methods for Astrophysics · Physics 2015-05-22 Boris Safonov

Detection of moving sources over complicated background is important for several reasons. First is measuring the astrophysical motion of the source. Second is that such motion resulting from atmospheric scintillation, color refraction, or…

Instrumentation and Methods for Astrophysics · Physics 2024-03-18 O. Springer , E. O. Ofek , B. Zackay , R. Konno , A. Sharon , G. Nir , A. Rubin , A. Haddad , J. Friedman , L. Schein Lubomirsky , I. Aizenberg , A. Krassilchtchikov , A. Gal-Yam

The detection and accurate astrometry of fast-moving near-Earth objects (NEOs) has been a challenge for the follow-up community. Their fast apparent motion results in streaks in sidereal images, thus affecting the telescope's limiting…

Instrumentation and Methods for Astrophysics · Physics 2023-07-12 Kritti Sharma , Harsh Kumar , Harsh Choudhary , Varun Bhalerao , Vishwajeet Swain , Bryce Bolin , G. C. Anupama , Sudhanshu Barway , Simran Joharle , Vedant Shenoy