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Phys. Rev. D 77, 123539 (2008) [7 pages]

Harmonic inpainting of the cosmic microwave background sky: Formulation and error estimate

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Kaiki Taro Inoue
Department of Science and Engineering, Kinki University, Higashi-Osaka, Japan

Paolo Cabella
Universitá La Sapienza, Universitá Tor Vergata, Rome, Italy

Eiichiro Komatsu
Department of Astronomy, The University of Texas at Austin, Texas, USA

Received 3 April 2008; published 27 June 2008

We develop a new interpolation scheme, based on harmonic inpainting, for reconstructing the cosmic microwave backgroundtemperature 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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.123539
DOI:
10.1103/PhysRevD.77.123539
PACS:
98.80.−k, 04.25.Nx, 98.70.Vc