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Related papers: Morphometric analysis in gamma-ray astronomy using…

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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

Aims. H.E.S.S. observes an increasing number of large extended sources. A new technique based on the structure of the sky map is developed to account for these additional structures by comparing them with the common point source analysis.…

Instrumentation and Methods for Astrophysics · Physics 2013-07-12 D. Göring , M. A. Klatt , C. Stegmann , K. Mecke

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

Minkowski functionals are summary statistics that capture the geometric and morphological properties of fields. They are sensitive to all higher order correlations of the fields and can be used to complement more conventional statistics,…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-06 Jan Hamann , Yuqi Kang

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

Minkowski functionals quantify the morphology of smooth random fields. They are widely used to probe statistical properties of cosmological fields. Analytic formulae for ensemble expectations of Minkowski functionals are well known for…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-27 Pravabati Chingangbam , Fazlu Rahman

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

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 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

Minkowski functionals (MFs) quantify the topological properties of a given field probing its departure from Gaussianity. We investigate their use on lensing convergence maps in order to see whether they can provide further insights on the…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-02 Martina Vicinanza , Vincenzo F. Cardone , Roberto Maoli , Roberto Scaramella , Xinzhong Er , Ismael Tereno

We study the morphology of convergence maps by perturbatively reconstructing their Minkowski Functionals (MFs). We present a systematics study using a set of three generalised skew-spectra as a function of source redshift and smoothing…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 D. Munshi , T. Namikawa , J. D. McEwen , T. D. Kitching , F. R. Bouchet

The identification of non-Gaussian signatures in cosmic microwave background (CMB) temperature maps is one of the main cosmological challenges today. We propose and investigate altenative methods to analyse CMB maps. Using the technique of…

Astrophysics · Physics 2009-11-07 C. Raeth , P. Schuecker

We investigate the cosmological information in higher-order statistics of the cosmic microwave background (CMB) lensing convergence field for a near-term experiment with noise properties similar to the Simons Observatory (SO). Using a fully…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-16 Shu-Fan Chen , J. Colin Hill , Zoltán Haiman

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 generalize the concept of the ordinary skew-spectrum to probe the effect of non-Gaussianity on the morphology of Cosmic Microwave Background (CMB) maps in several domains: in real-space (where they are commonly known as…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Dipak Munshi , Joseph Smidt , Asantha Cooray , Alessandro Renzi , Alan Heavens , Peter Coles

In this study, we explore the potential of utilizing the four Minkowski functionals, which can fully describe the morphological properties of the large-scale structures, as a robust tool for investigating the modified gravity, particularly…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-20 Aoxiang Jiang , Wei Liu , Baojiu Li , Cristian Barrera-Hinojosa , Yufei Zhang , Wenjuan Fang

We present a statistical technique which can be used to detect the presence and properties of moving sources contributing to a diffuse background. The method is a generalization of the 2-point correlation function to include temporal as…

High Energy Astrophysical Phenomena · Physics 2015-03-17 Alex Geringer-Sameth , Savvas M. Koushiappas

The genus statistics of isodensity contours has become a well-established tool in cosmology. In this Letter we place the genus in the wider framework of a complete family of morphological descriptors. These are known as the Minkowski…

Astrophysics · Physics 2009-10-30 Jens Schmalzing , Thomas Buchert

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
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