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We propose a novel method for the description of spatial patterns formed by a coverage of point sets representing galaxy samples. This method is based on a complete family of morphological measures known as Minkowski functionals, which…

Astrophysics · Physics 2007-05-23 K. R. Mecke , T. Buchert , H. Wagner

The morphology of haloes inform about both cosmological and galaxy formation models. We use the Minkowski Functionals (MFs) to characterize the actual morphology of haloes, only partially captured by smooth density profile, going beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-25 Guillaume Bonnet , Emmanuel Nezri , Katarina Kraljic , Carlo Schimd

We suggest a set of morphological measures that we believe can help in quantifying the shapes of two-dimensional cosmological images such as galaxies, clusters, and superclusters of galaxies. The method employs non-parametric morphological…

Astrophysics · Physics 2009-07-30 Nurur Rahman , Sergei F. Shandarin

We present a new ansatz which can successfully be used to determine the morphological properties of the supercluster-void network. The ansatz is based on a surface modelling scheme SURFGEN, which generates a triangulated surface from a…

Astrophysics · Physics 2009-11-07 Jatush V. Sheth , Varun Sahni , Sergei F. Shandarin , B. S. Sathyaprakash

We use Minkowski functionals to analyse weak lensing convergence maps from the first-year data release of the Subaru Hyper Suprime-Cam (HSC-Y1) survey. Minkowski functionals provide a description of the morphological properties of a field,…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-13 Joaquin Armijo , Gabriela A. Marques , Camila P. Novaes , Leander Thiele , Jessica A. Cowell , Daniela Grandón , Masato Shirasaki , Jia Liu

The Minkowski functionals are a mathematical tool to quantify morphological features of patterns. Some applications to the matter distribution in galaxy catalogues and N-body simulations are reviewed, with an emphasis on the effects of…

Astrophysics · Physics 2007-05-23 Alvaro Dominguez

The morphological properties of large scale structure of the Universe can be fully described by four Minkowski functionals (MFs), which provide important complementary information to other statistical observables such as the widely used…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-24 Wenjuan Fang , Baojiu Li , Gong-Bo Zhao

We present a new harmonic-domain approach for extracting morphological information, in the form of Minkowski Functionals (MFs), from weak lensing (WL) convergence maps. Using a perturbative expansion of the MFs, which is expected to be…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Dipak Munshi , Ludovic van Waerbeke , Joseph Smidt , Peter Coles

The study of shapes of the images of objects is an important issue not only because it reveals its dynamical state but also it helps to understand the object's evolutionary history. We discuss a new technique in cosmological image analysis…

Astrophysics · Physics 2016-01-27 Nurur Rahman , Sergei F. Shandarin

A complete family of statistical descriptors for the morphology of large--scale structure based on Minkowski--Functionals is presented. These robust and significant measures can be used to characterize the local and global morphology of…

Astrophysics · Physics 2007-05-23 T. Buchert

We pursue a novel morphometric analysis to detect sources in very-high-energy gamma-ray counts maps by structural deviations from the background noise. Because the Minkowski functionals from integral geometry quantify the shape of the…

Instrumentation and Methods for Astrophysics · Physics 2017-10-11 Michael A. Klatt , Klaus Mecke

Modern redshift surveys such as the 2 degree field Galaxy Redshift Survey (2dFGRS) and the Sloan Digital Sky Survey (SDSS) reveal the fully 3 dimensional distribution of a million or so galaxies over a large cosmological volume. Visually…

Astrophysics · Physics 2009-09-29 Jatush V. Sheth , Varun Sahni

We apply Minkowski functionals and various derived measures to decipher the morphological properties of large-scale structure seen in simulations of gravitational evolution. Minkowski functionals of isodensity contours serve as tools to…

We pursue a novel morphometric analysis to detect sources in very-high-energy gamma-ray counts maps by structural deviations from the background noise without assuming any prior knowledge about potential sources. The rich and complex…

Instrumentation and Methods for Astrophysics · Physics 2017-10-11 Michael A. Klatt , Klaus Mecke

We investigate the inclusion of clustering maps in a weak lensing Minkowski functional (MF) analysis of DES-like and LSST-like simulations to constrain cosmological parameters. The standard 3x2pt approach to lensing and clustering data uses…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-25 Nisha Grewal , Joe Zuntz , Tilman Tröster , Alexandra Amon

We present a novel approach to quantifying the morphology of Cosmic Microwave Background (CMB) anisotropy maps. As morphological descriptors, we use shape parameters known as Minkowski functionals. Using the mathematical framework provided…

Astrophysics · Physics 2009-10-30 Jens Schmalzing , Krzysztof M. Gorski

The recent progress in obtaining larger and deeper galaxy catalogues is of fundamental importance for cosmological studies, especially to robustly measure the large scale density fluctuations in the Universe. The present work uses the…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Camila P. Novaes , Armando Bernui , Henrique S. Xavier , Gabriela A. Marques

We studied superclusters of galaxies in a volume-limited sample extracted from the Sloan Digital Sky Survey Data Release 7 (SDSS/DR7) and from mock catalogues based on a semi-analytical model of galaxy evolution in the Millenium Simulation.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 M. V. Costa-Duarte , L. Sodré , F. Durret

We apply the morphological descriptions of two-dimensional contour map, the so-called Minkowski functionals (the area fraction, circumference, and Euler characteristics), to the convergence field $\kappa(\bm{\theta})$ of the large-scale…

Astrophysics · Physics 2009-11-06 Jun'ichi Sato , Masahiro Takada , Y. P. Jing , Toshifumi Futamase

Astronomy, biophysics, and material science often depend on the possibility to extract information out of faint spatial signals. Here we present a morphometric analysis technique to quantify the shape of structural deviations in greyscale…

Data Analysis, Statistics and Probability · Physics 2021-11-29 Michael Andreas Klatt , Klaus Mecke
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