Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-10-16
Mon. Not. R. Astron. Soc. 297 (1998) 355-365
Astronomy and Astrophysics
Astrophysics
14 pages, 13 figures, most of which look better in color. Uses AMSTeX, epsf.sty, mncite.sty. Very minor changes to match versi
Scientific paper
10.1046/j.1365-8711.1998.01467.x
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 by the theory of integral geometry on arbitrary curved supports, we point out the differences to their characterization and interpretation in the case of flat space. With restrictions of real data -- such as pixelization and incomplete sky coverage, to mention just a few -- in mind, we derive and test unbiased estimators for all Minkowski functionals. Various examples, among them the analysis of the four-year COBE DMR data, illustrate the application of our method.
Górski Krzysztof M.
Schmalzing Jens
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