Maximum likelihood estimation of spatially correlated signal-dependent noise in hyperspectral images

Mikhail L. Uss; Benoit Vozel; Kacem Chehdi; Vladimir V. Lukin

doi:10.1117/1.OE.51.11.111712

28 June 2012 Maximum likelihood estimation of spatially correlated signal-dependent noise in hyperspectral images

Mikhail L. Uss, Benoit Vozel, Kacem Chehdi, Vladimir V. Lukin

Author Affiliations +

Optical Engineering, Vol. 51, Issue 11, 111712 (June 2012). https://doi.org/10.1117/1.OE.51.11.111712

Abstract

A new algorithm is described for estimating the noise model parameters in hyperspectral data when neither noise components variance nor noise spatial/spectral correlation priors are available. A maximum likelihood (ML) technique is introduced for checking the noise spatial correlation hypothesis and estimating the spatial correlation function width alongside with estimating signal-independent and signal-dependent noise components variance. The hyperspectral image is assumed to match a limited set of assumptions. A three-dimensional (3-D) fractional Brownian motion (fBm) model is introduced for describing locally the texture of the 3-D image noisy textural fragment. Nonstationarity of the useful image signal is taken into account by performing the estimation locally on a 3-D block-by-block basis. The accuracy of the proposed algorithm is first illustrated for synthetic images obtained from either pure fBm or almost noise-free AVIRIS hyperspectral images artificially degraded with spatially correlated noise. The results obtained for synthetic images demonstrate appropriate accuracy and robustness of the proposed method. Then results obtained for real life AVIRIS hyperspectral data sets confirm the noise spatial uncorrelation hypothesis for images acquired by the AVIRIS sensor. Conclusions and open problems are outlined.

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Mikhail L. Uss, Benoit Vozel, Kacem Chehdi, and Vladimir V. Lukin "Maximum likelihood estimation of spatially correlated signal-dependent noise in hyperspectral images," Optical Engineering 51(11), 111712 (28 June 2012). https://doi.org/10.1117/1.OE.51.11.111712

Published: 28 June 2012

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