Inpainting: A powerful interpolation technique for helio- and asteroseismic data - Astrophysics > Solar and Stellar AstrophysicsReport as inadecuate




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Abstract: In Helio- and asteroseismology, it is important to have continuous,uninterrupted, data sets. However, seismic observations usually contain gapsand we need to take them into account. In particular, if the gaps are notrandomly distributed, they will produce a peak and a series of harmonics in theperiodogram that will destroy the stellar information. An interpolation of thedata can be good solution for this problem. In this paper we have studied aninterpolation method based on the so-called -inpainting- algorithms. To checkthe algorithm, we used both VIRGO and CoRoT satellite data to which we applieda realistic artificial window of a real CoRoT observing run to introduce gaps.Next we compared the results with the original, non-windowed data. Therefore,we were able to optimize the algorithm by minimizing the difference between thepower spectrum density of the data with gaps and the complete time series. Ingeneral, we find that the power spectrum of the inpainted time series is verysimilar to the original, unperturbed one. Seismic inferences obtained afterinterpolating the data are the same as in the original case.



Author: K.H. Sato, R.A. Garcia, S. Pires, J. Ballot, S. Mathur, B. Mosser, E. Rodriguez, J.L. Starck, K. Uytterhoeven

Source: https://arxiv.org/







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