A utilization of GMM for scientific images modeling

Jan Švihlík; Karel Fliegel

doi:10.1117/12.826008

2 September 2009 A utilization of GMM for scientific images modeling

Jan Švihlík, Karel Fliegel

Proceedings Volume 7443, Applications of Digital Image Processing XXXII; 74431R (2009) https://doi.org/10.1117/12.826008
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

This paper deals with modeling of scientific and multimedia images in the wavelet domain. Images transformed into wavelet domain have a special shape of probability density function (PDF). Thus wavelet coefficients PDFs are usually modeled using generalized Laplacian PDF model (GLM), which is characterized by two parameters. The wavelet coefficients modeling can be more efficient, while the Gaussian mixture model (GMM) is utilized. GMM model is given by addition of at least two Gaussian PDFs with different standard deviations. There will be presented equation system derived by moment method for GMM models parameters estimation. The equation system was derived for an addition of two GMM models. So it is suitable for advanced denoising systems, where an addition of two GMM random variables is considered (e.g. dark current in astronomical images).

Citation Download Citation

Jan Švihlík and Karel Fliegel "A utilization of GMM for scientific images modeling", Proc. SPIE 7443, Applications of Digital Image Processing XXXII, 74431R (2 September 2009); https://doi.org/10.1117/12.826008

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KEYWORDS

Wavelets

Data modeling

Statistical analysis

Systems modeling

Astronomy

Multimedia

Discrete wavelet transforms

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