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Robust Morphological Measures for Large-Scale Structure in the Universe

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arxiv astro-ph/9312028 v1 pith:O7K7RN5C submitted 1993-12-14 astro-ph

classification astro-ph
keywords methodmorphologicalgalaxymeasuresprocessrobustsamplessets
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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 includes the topological Euler characteristic and geometric descriptors to specify the content, shape and connectivity of spatial sets. The method is numerically robust even for small samples, independent of statistical assumptions, and yields global as well as local morphological information. We illustrate the method by applying it to a Poisson process, a `double-Poisson' process, and to the Abell catalogue of galaxy clusters.

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Forward citations

Cited by 15 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 89 citations worldwide. Full citation record

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