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Numerical simulations of merging compact objects and their remnants form the theoretical foundation for gravitational wave and multi-messenger astronomy. While Cartesian-coordinate-based adaptive mesh refinement is commonly used for…

The growing use of wide angle image capture devices and the need for fast and accurate image analysis in computer visions have enforced the need for dedicated under-representation approaches. Most recent decomposition methods segment an…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Rémi Giraud , Rodrigo Borba Pinheiro , Yannick Berthoumieu

The detection of gravitational waves is possible thanks to a multidisciplinary approach, involving different disciplines such as astrophysics, physics, engineering and quantum optics. Consequently, it is important today for teachers to…

General Relativity and Quantum Cosmology · Physics 2021-05-25 Matteo Luca Ruggiero

It is anticipated that the large sky areas covered by planned wide-field weak lensing surveys will reduce statistical errors to such an extent that systematic errors will instead become the dominant source of uncertainty. It is therefore…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-22 Marc Gentile , Frederic Courbin , Georges Meylan

A new interpretation of the basic vector |0> of the free Fock space (FFS) and the FFS is proposed. The approximations to various equations with additional parameters, for n-point information (n-pi), are also considered in the case of…

General Physics · Physics 2012-06-21 Jerzy Hanckowiak

There is a complex conformal transformation, which maps the $D$ - dimensional real Minkowski space on a bounded set in the $D$ - dimensional complex vector space. It generalizes the Cayley map from $D=1$ dimensions to higher space-time…

High Energy Physics - Theory · Physics 2016-01-19 Dimitar Nedanovski

We construct a coordinate system fitting the geometry of a given, cylindrically symmetric, magnetic field.

Plasma Physics · Physics 2026-01-01 R. D. Hazeltine

Geospace phenomena such as the aurora, plasma motion, ionospheric currents and associated magnetic field disturbances are highly organized by Earth's main magnetic field. This is due to the fact that the charged particles that comprise…

Space Physics · Physics 2016-12-01 K. M. Laundal , A. D. Richmond

A simple method to generate a two-dimensional binary grid pattern, which allows for absolute and accurate self-location in a finite planar region, is proposed. The pattern encodes position information in a local way so that reading a small…

Information Theory · Computer Science 2011-12-20 Alfred M. Bruckstein , Tuvi Etzion , Raja Giryes , Noam Gordon , Robert J. Holt , Doron Shuldiner

In this article, we present a new characterization of the completeness of a partial metric space--which we call \textit{orbital characterization}-- using fixed point results.

General Topology · Mathematics 2019-02-25 Yaé Ulrich Gaba

We construct natural local coordinate systems on the phase space of two-field cosmological models with orientable target space, which allow for a description of cosmological flows through quantities of direct physical interest. Such…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Calin Iuliu Lazaroiu

I describe a new, open-source astronomical image-fitting program called Imfit, specialized for galaxies but potentially useful for other sources, which is fast, flexible, and highly extensible. A key characteristic of the program is an…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Peter Erwin

Two-dimensional patterns are used in many research areas in computer science, ranging from image processing to specification and verification of complex software systems (via scenarios). The contribution of this paper is twofold. First, we…

Programming Languages · Computer Science 2014-05-16 Iulia Teodora Banu-Demergian , Gheorghe Stefanescu

The decomposition of an image into a linear combination of digitised basis functions is an everyday task in astronomy. A general method is presented for performing such a decomposition optimally into an arbitrary set of digitised basis…

Astrophysics · Physics 2009-11-10 R. H. Berry , M. P. Hobson , S. Withington

Despite the growing demand for accurate surface normal estimation models, existing methods use general-purpose dense prediction models, adopting the same inductive biases as other tasks. In this paper, we discuss the inductive biases needed…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Gwangbin Bae , Andrew J. Davison

If there is a null gradient field in 1+3 dimensional space-time, we can set up a kind of light-cone coordinate system in the space-time. In such coordinate system, the metric takes a simple form, which is much helpful for simplifying and…

General Physics · Physics 2017-12-08 Ying-Qiu Gu

Within the continuous endeavour of improving the efficiency and resilience of air transport, the trend of using concepts and metrics from statistical physics has recently gained momentum. This scientific discipline, which integrates…

Data Analysis, Statistics and Probability · Physics 2025-07-29 Felipe Olivares , Massimiliano Zanin

Continuing work initiated in an earlier publication [Phys. Rev. D 69, 084007 (2004)], we construct a system of light-cone coordinates based at a geodesic world line of an arbitrary curved spacetime. The construction involves (i) an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Brent Preston , Eric Poisson

Like many computer vision problems, human pose estimation is a challenging problem in that recognizing a body part requires not only information from local area but also from areas with large spatial distance. In order to spatially pass…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Te Qi , Bayram Bayramli , Usman Ali , Qinchuan Zhang , Hongtao Lu

Context: in astronomy, observing large fractions of the sky within a reasonable amount of time implies using large field-of-view (fov) optical instruments that typically have a spatially varying Point Spread Function (PSF). Depending on the…

Computer Vision and Pattern Recognition · Computer Science 2017-03-20 F. M. Ngolè Mboula , J. -L. Starck
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