β-Skeleton analysis of the cosmic web
@article{Fang2018SkeletonAO, title={$\beta$-Skeleton analysis of the cosmic web}, author={Feng Fang and Jaime E. Forero-Romero and Graziano Rossi and Xiao-Dong Li and Longlong Feng}, journal={Monthly Notices of the Royal Astronomical Society}, year={2018} }
The $\beta$-skeleton is a mathematical method to construct graphs from a set of points that has been widely applied in the areas of image analysis, machine learning, visual perception, and pattern recognition. In this work, we apply the $\beta$-skeleton to study the cosmic web. We use this tool on observed and simulated data to identify the filamentary structures and characterize the statistical properties of the skeleton. In particular, we compare the $\beta$-skeletons built from SDSS-III…
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References
SHOWING 1-10 OF 43 REFERENCES
The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
- Physics
- 2017
We introduce a multiscale topological description of the Megaparsec web-like cosmic matter distribution. Betti numbers and topological persistence offer a powerful means of describing the rich…
Tracing the cosmic web
- Physics
- 2018
The cosmic web is one of the most striking features of the distribution of galaxies and dark matter on the largest scales in the Universe. It is composed of dense regions packed full of galaxies,…
The persistent cosmic web and its filamentary structure I: Theory and implementation
- Computer Science
- 2010
The method is interesting as it allows for a robust quantification of the topological properties of a discrete distribution in terms of Betti numbers or Euler characteristics, without having to resort to smoothing or having to define a particular scale.
PRECISION COSMOGRAPHY WITH STACKED VOIDS
- Physics
- 2012
We present a purely geometrical method for probing the expansion history of the universe from the observation of the shape of stacked voids in spectroscopic redshift surveys. Our method is an…
A kinematic classification of the cosmic web
- Physics
- 2012
A new approach for the classification of the cosmic web is presented. In extension of the previous work of Hahn et al. and Forero-Romero et al., the new algorithm is based on the analysis of the…
The Crust and the beta-Skeleton: Combinatorial Curve Reconstruction
- MathematicsGraph. Model. Image Process.
- 1998
Two different graphs are given that, in this sense, reconstruct smooth curves: a simple new construction which is called the crust, and the β-skeleton, using a specific value of β.
A Dynamical Classification of the Cosmic Web
- Physics
- 2009
In this paper, we propose a new dynamical classification of the cosmic web. Each point in space is classified in one of four possible web types: voids, sheets, filaments and knots. The classification…
Cosmological constraints from the redshift dependence of the Alcock–Paczynski test and volume effect: galaxy two-point correlation function
- Physics
- 2015
We propose a method using the redshift dependence of the Alcock-Paczynski (AP) test and volume effect to measure the cosmic expansion history. The galaxy two-point correlation function as a function…
A measurement of the Alcock–Paczyński effect using cosmic voids in the SDSS
- Physics
- 2014
We perform an Alcock-Paczynski test using stacked cosmic voids identified in the SDSS Data Release 7 main sample and Data Release 10 LOWZ and CMASS samples. We find ~1,500 voids out to redshift $0.6$…
The darkness that shaped the void: dark energy and cosmic voids
- Physics
- 2012
We assess the sensitivity of void shapes to the nature of dark energy that was pointed out in recent studies and also investigate whether or not void shapes are useable as an observational probe in…