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arXiv · 2306.04383

Complex Isotropic {\alpha}-Stable-Rician Model for Heterogeneous SAR Images

Mutong Li·Ercan Engin Kuruoglu
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Abstract

This article introduces a novel probability distribution model, namely Complex Isotropic {\alpha}-Stable-Rician (CI{\alpha}SR), for characterizing the data histogram of synthetic aperture radar (SAR) images. Having its foundation situated on the L\'evy {\alpha}-stable distribution suggested by a generalized Central Limit Theorem, the model promises great potential in accurately capturing SAR image features of extreme heterogeneity. A novel parameter estimation method based on the generalization of method of moments to expectations of Bessel functions is devised to resolve the model in a relatively compact and computationally efficient manner. Experimental results based on both synthetic and empirical SAR data exhibit the CI{\alpha}SR model's superior capacity in modelling scenes of a wide range of heterogeneity when compared to other state-of-the-art models as quantified by various performance metrics. Additional experiments are conducted utilizing large-swath SAR images which encompass mixtures of several scenes to help interpret the CI{\alpha}SR model parameters, and to demonstrate the model's potential application in classification and target detection.

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Mutong Li, Ercan Engin Kuruoglu. 2023-06-07. Complex Isotropic {\alpha}-Stable-Rician Model for Heterogeneous SAR Images. https://arxiv.org/abs/2306.04383

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