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

Abstract

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.

arXiv comment8 pages, 6 figures, Minor change, Discusssion about the Gaussian noise in the WMAP data is added in footnotes

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Cited by in corpus (15)

• DeepSphere: Efficient spherical Convolutional Neural Network with HEALPix sampling for cosmological applications
• Large-scale alignments from WMAP and Planck
• Large-Angle Correlations in the Cosmic Microwave Background
• Reconstructing cosmic growth with kSZ observations in the era of Stage IV experiments
• Planck CMB Anomalies: Astrophysical and Cosmological Secondary Effects and the Curse of Masking
• Filling in CMB map missing data using constrained Gaussian realizations
• Methods for pixel domain correction of EB leakage
• A new probe of Axion-Like Particles: CMB polarization distortions due to cluster magnetic fields
• Harmonic in-painting of CMB sky by constrained Gaussian realization
• Relating the inhomogeneous power spectrum to the CMB hemispherical anisotropy
• Noncommutative Geometry and the Primordial Dipolar Imaginary Power Spectrum
• A close examination of cosmic microwave background mirror-parity after Planck
• Reconstruction of Missing Data using Iterative Harmonic Expansion
• CMB-PAInT: An inpainting tool for the cosmic microwave background
• Removing the mask -- reconstructing a scalar field on the sphere from a masked field