By Ammar Mian, Antoine Collas, Arnaud Breloy Guillaume Ginolhac and Jean-Philippe Ovarlez
This paper derives a new change detector for multivariate Synthetic Aperture Radar image time series. Classical statistical change detection methodologies based on covariance matrix analysis are usually built upon the Gaussian assumption, as well as an unstructured signal model. Both of these hypotheses may be inaccurate for high-dimension/resolution images, where the noise can be heterogeneous (non-Gaussian) and where the relevant signals usually lie in a low dimensional subspace (low-rank structure). These two issues are tackled by proposing a new Generalized Likelihood Ratio Test based on a robust (compound Gaussian) low-rank (structured covariance matrix) model. The interest of the proposed detector is assessed on two Synthetic Aperture Radar Image Time Series data set from UAVSAR.
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