Application of Wavelets to Filtering of Noisy Data

Details Application of Wavelets to Filtering of Noisy Data Application of Wavelets to Filtering of Noisy Data

1999-04-13

arxiv.org/abs/astro-ph/9904170v1

Phil.Trans.Roy.Soc.Lond. A357 (1999) 2561-2571

Astronomy and Astrophysics

Astrophysics

13 pages, submitted to Philosophical Transactions of the Royal Society Series A, 5 high res grayscale images available as jpg

Scientific paper

10.1098/rsta.1999.0448

I discuss approaches to optimally remove noise from images. A generalization of Wiener filtering to Non-Gaussian distributions and wavelets is described, as well as an approach to measure the errors in the reconstructed images. We argue that the wavelet basis is highly advantageous over either Fourier or real space analysis if the data is intermittent in nature, i.e. if the filling factor of objects is small.

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