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A convergence of ideas, observations and technology have led to the greatest period of cosmological discovery yet. Over the past three years we have determined the basic features of our Universe. We are now challenged to make sense of what…

Astrophysics · Physics 2007-05-23 Michael S. Turner

While the interpretation of high-dimensional datasets has become a necessity in most industries, and is supported by continuous advances in data science and machine learning, the spatial visualization of higher-dimensional geometry has…

Human-Computer Interaction · Computer Science 2021-03-29 Marco Cavallo

Whilst astronomy as a science is historically founded on observations at optical wavelengths, studying the Universe in other bands has yielded remarkable discoveries, from pulsars in the radio, signatures of the Big Bang at submm…

The satellite missions Hipparcos and Gaia by the European Space Agency will together bring a decrease of astrometric errors by a factor 10000, four orders of magnitude, more than was achieved during the preceding 500 years. This modern…

Instrumentation and Methods for Astrophysics · Physics 2011-05-04 Erik Høg

The theme of this book chapter is to discuss algorithms for identifying and reconstructing groups and clusters of galaxies out of the general galaxy distribution. I review the progress of detection techniques through time, from the very…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-24 C. Marinoni

Thanks to a technique that reveals galaxies in 3D, astronomers can now show that many galaxies have been wrongly classified. Davor Krajnovi\'c argues that the classification scheme proposed 85 years ago by Edwin Hubble now needs to be…

Popular Physics · Physics 2016-04-27 Davor Krajnović

Observational astronomers survey the sky in great detail to gain a better understanding of many types of astronomical phenomena. In particular, the formation and evolution of galaxies, including our own, is a wide field of research. Three…

Instrumentation and Methods for Astrophysics · Physics 2021-02-08 Tim Dykes , Claudio Gheller , Bärbel S. Koribalski , Klaus Dolag , Mel Krokos

Astronomy at or below the 'survey threshold' has expanded significantly since the publication of the original 'Science with the Square Kilometer Array' in 1999 and its update in 2004. The techniques in this regime may be broadly (but far…

Three-dimensional (3D) visualization has opened up a Universe of possible scientific data representations. 3D printing has the potential to make seemingly abstract and esoteric data sets accessible, particularly through the lens of…

Instrumentation and Methods for Astrophysics · Physics 2020-12-07 Kimberly Kowal Arcand , Sara Rose Price , Megan Watzke

The properties of spatial distribution of luminous matter are investigated analysing all the available three dimensional catalogues of galaxies. In standard view, galaxies are believed to have a fractal distribution at small scale with a…

Astrophysics · Physics 2016-08-30 M. Montuori , F. Sylos Labini , L. Pietronero

Estimates of the fractal dimension $D$ of the set of galaxies in the universe, based on ever improving data sets, tend to settle on $D\approx 2$. This result raised a raging debate due to its glaring contradiction with astrophysical models…

We construct the quaternion algebra [10] "geometrically" by a three dimensional analogue of the classic two dimensional geometric description of the complex field. The algebraic description of the multiplication operation in three…

Rings and Algebras · Mathematics 2010-12-13 Bob Palais

Since its introduction, 3D Gaussian Splatting (3DGS) has rapidly transformed the landscape of 3D scene representations, inspiring an extensive body of associated research. Follow-up work includes analyses and contributions that enhance the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Bernhard Kerbl

Over the next decade we will witness the development of a new infrastructure in support of data-intensive scientific research, which includes Astronomy. This new networked environment will offer both challenges and opportunities to our…

Instrumentation and Methods for Astrophysics · Physics 2010-06-04 Alberto Accomazzi

The ESA cornerstone mission Gaia was successfully launched in 2013, and is now scanning the sky to accurately measure the positions and motions of about two billion point-like sources of 3<V<20.5 mag, with the main goal of reconstructing…

Solar and Stellar Astrophysics · Physics 2020-01-08 E Pancino

This paper was written as part of a book entitled: "Questions of Modern Cosmology - Galileo's Legacy" which is a celebrative book dedicated to Galileo Galilei. The book is published in 2009, the International Year of Astronomy, since it is…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-21 Isabella Maria Gioia

The space-like hypersurface of the Universe at the present cosmological time is a three-dimensional manifold. A non-trivial global topology of this space-like hypersurface would imply that the apparently observable universe (the sphere of…

Astrophysics · Physics 2011-04-15 Boudewijn F. Roukema , Vincent Blanloeil

The summary talk of IAU179 'New Horizons from Multi-Wavelengths Sky Surveys', held in Baltimore in August 1996. First I summarize the highlights in different wavelengths as described in the oral presentations. Then I discuss the need for…

Astrophysics · Physics 2007-05-23 Ofer Lahav

In the next 30 years, a new generation of space and ground-based telescopes will permit to obtain multi-frequency observations of faint sources and, for the first time in human history, to achieve a deep, almost synoptical monitoring of the…

Astrophysics of Galaxies · Physics 2018-07-20 Mauro D'Onofrio , Paola Marziani

While clusters of galaxies are considered one of the most important cosmological probes, the standard spherical modelling of the dark matter and the intracluster medium is only a rough approximation. Indeed, it is well established both…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Marceau Limousin , Andrea Morandi , Mauro Sereno , Massimo Meneghetti , Stefano Ettori , Matthias Bartelmann , Tomas Verdugo