Minkowski Functionals and Cluster Analysis for CMB Maps

Details Minkowski Functionals and Cluster Analysis for CMB Maps Minkowski Functionals and Cluster Analysis for CMB Maps

1998-09-18

arxiv.org/abs/astro-ph/9809238v3

Int.J.Mod.Phys.D8:291-306,1999

Astronomy and Astrophysics

Astrophysics

28 pages latex using aasms4 and epsfig. 11 postscript figures embedded. Minor Changes, to reflect the published version

Scientific paper

10.1142/S0218271899000225

We suggest novel statistics for the CMB maps that are sensitive to non-Gaussian features. These statistics are natural generalizations of the geometrical and topological methods that have been already used in cosmology such as the cumulative distribution function and genus. We compute the distribution functions of the Partial Minkowski Functionals for the excursion set above or bellow a constant temperature threshold. Minkowski Functionals are additive and are translationally and rotationally invariant. Thus, they can be used for patchy and/or incomplete coverage. The technique is highly efficient computationally (it requires only O(N) operations, where N is the number of pixels per one threshold level). Further, it allows to split large data sets into smaller subsets. The full advantage of these statistics can be obtained only on very large data sets. We apply it to the 4-year DMR COBE data corrected for the Galaxy contamination as an illustration of the technique.

Affiliated with

Also associated with

No associations

Rating

Minkowski Functionals and Cluster Analysis for CMB Maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Minkowski Functionals and Cluster Analysis for CMB Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minkowski Functionals and Cluster Analysis for CMB Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-458121