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Journal of Electronic Imaging • Open Access

Estimation of non-Gaussian noise parameters in the wavelet domain using the moment-generating function
Author(s): Jan Svihlik; Eva Jerhotova; Karel Fliegel; Petr Páta; Stanislav Vítek; Jaromir Kukal; Pavel Koten

Paper Abstract

We discuss methods for modeling and removal of noise in astronomical images. For its favorable properties, we exploit the undecimated wavelet representation and apply noise suppression in this domain. Usually, the noise analysis of the studied imaging system is carried out in the spatial domain. However, noise in astronomical data is non-Gaussian, and thus the noise model parameters need to be estimated directly in the wavelet domain.We derive equations for estimating the sample moments for non-Gaussian noise in the wavelet domain. We consider that the sample moments in the spatial domain are known from the noise analysis and that the model parameters are estimated by using the method of moments.

Paper Details

Date Published: 22 June 2012
PDF: 16 pages
J. Electron. Imaging. 21(2) 023025 doi: 10.1117/1.JEI.21.2.023025
Published in: Journal of Electronic Imaging Volume 21, Issue 2
Show Author Affiliations
Jan Svihlik, Institute of Chemical Technology (Czech Republic)
Eva Jerhotova, Institute of Chemical Technology (Czech Republic)
Karel Fliegel, Czech Technical Univ. in Prague (Czech Republic)
Petr Páta, Czech Technical Univ. in Prague (Czech Republic)
Stanislav Vítek, Czech Technical Univ. in Prague (Czech Republic)
Jaromir Kukal, Czech Technical Univ. in Prague (Czech Republic)
Pavel Koten, Astronomical Institute of the ASCR, v.v.i. (Czech Republic)


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