Harmonic Inpainting of the Cosmic Microwave Background Sky: Formulation and Error Estimate

Details Harmonic Inpainting of the Cosmic Microwave Background Sky: Formulation and Error Estimate Harmonic Inpainting of the Cosmic Microwave Background Sky: Formulation and Error Estimate

2008-04-03

arxiv.org/abs/0804.0527v2

Phys.Rev.D77:123539,2008

Astronomy and Astrophysics

Astrophysics

8 pages, 6 figures, Minor change, Discusssion about the Gaussian noise in the WMAP data is added in footnotes

Scientific paper

10.1103/PhysRevD.77.123539

We develop a new interpolation scheme, based on harmonic inpainting, for reconstructing the cosmic microwave background temperature data within the Galaxy mask from the data outside the mask. We find that, for scale-invariant isotropic random Gaussian fluctuations, the developed algorithm reduces the errors in the reconstructed map for the odd-parity modes significantly for azimuthally symmetric masks with constant galactic latitudes. For a more realistic Galaxy mask, we find a modest improvement in the even-parity modes as well.

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