Abstract

This paper discusses the statistical modelling of multimodal SAR image histograms. We use a generalized mixture of distributions with flexible shapes that are likely to fit the SAR image histogram. We then form a system called GGBL, composed of four parametric distributions (Gaussian, Gamma, Beta and Log‐Normal). Selection of a parametric distribution from the GGBL system for each mode of the multimodal SAR histogram is performed according to the location of the skewness and flatness coefficients in this space. We propose a distribution stability method for distribution selection, using the asymmetry and flatness coefficients, and a feature method for the estimation of the parameters of these distributions based on the characteristic points of the histogram. The GGBL system is applied to real histograms of RADARSAT and ERS SAR images with different numbers of looks. The results obtained are promising.

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