Analysis of Mathematical Morphology for Quantifying Galaxy Distributions in AT-Body Simulations

We used a counts-in-cells analysis for quantifying galaxy distributions in cosmological TV-body simulations. We adopted seven simulations which were evolved from different power-law initial conditions and CDM initial conditions with different density parameter. In our analyses, we focused on informa...

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Bibliographic Details
Published in:Publications of the Astronomical Society of Japan 1999-08, Vol.51 (4), p.435-444
Main Author: Ueda, Haruhiko
Format: Article
Language:English
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Summary:We used a counts-in-cells analysis for quantifying galaxy distributions in cosmological TV-body simulations. We adopted seven simulations which were evolved from different power-law initial conditions and CDM initial conditions with different density parameter. In our analyses, we focused on information of the galaxy distributions in two-dimensions, and adopted a mathematical morphology which is one of the most noticeable fields in image analysis. We propose new statistical measures which are based on the mathematical morphology. These measures relate to the area of the counts-in-cells or the pattern spectrum. Prom our analyses, the histogram of the area, the pattern spectrum, and these new measures are found to be useful to distinguish the difference of the galaxy distributions among power-law models as well as CDM models.
ISSN:0004-6264
2053-051X
DOI:10.1093/pasj/51.4.435