Support Detection for SAR Tomographic Reconstructions from Compressive Measurements

The problem of detecting and locating multiple scatterers in multibaseline Synthetic Aperture Radar (SAR) tomography, starting from compressive measurements and applying support detection techniques, is addressed. Different approaches based on the detection of the support set of the unknown sparse vector, that is, of the position of the nonzero elements in the unknown sparse vector, are analyzed. Support detection techniques have already proved to allow a reduction in the number of measurements required for obtaining a reliable solution. In this paper, a support detection method, based on a Generalized Likelihood Ratio Test (Sup-GLRT), is proposed and compared with the SequOMP method, in terms of probability of detection achievable with a given probability of false alarm and for different numbers of measurements

A model-free ratio based nonlocal framework for denoising of SAR and TomoSAR data

This paper introduces a general patch-based model-free framework for despeckling of single and multi-baseline synthetic aperture radar (SAR) image. Particularly, the method is based on the empirical distribution similarity between the patch containing the pixel to be restored and the patch containing a candidate similar pixel. In order to decide whether the patches follow a similar distribution, the Kolmogorov-Smirnov test is adapted. Finally, within the restoration process, the selected similar pixels are aggregated based on their relative importance obtained according to their distribution similarities. Experimental validation of the proposed methodology is provided using different real data sets and compared with existing NLSAR approach in relation to single SAR image despeckling and tomographic application for the 3D reflectivity reconstruction of volumetric media as well as permanent scatterer detection in urban environments

A deep learning solution for height estimation on a forested area based on Pol-TomoSAR data

Forest height and underlying terrain reconstruction is one of the main aims in dealing with forested areas. Theoretically, synthetic aperture radar tomography (TomoSAR) offers the possibility to solve the layover problem, making it possible to estimate the elevation of scatters located in the same resolution cell. This article describes a deep learning approach, named tomographic SAR neural network (TSNN), which aims at reconstructing forest and ground height using multipolarimetric multibaseline (MPMB) SAR data and light detection and ranging (LiDAR)-based data. The reconstruction of the forest and ground height is formulated as a classification problem, in which TSNN, a feedforward network, is trained using covariance matrix elements as input vectors and quantized LiDAR-based data as the reference. In our work, TSNN is trained and tested with P-band MPMB data acquired by ONERA over Paracou region of French Guiana in the frame of the European Space Agency's campaign TROPISAR and LiDAR-based data provided by the French Agricultural Research Center. The novelty of the proposed TSNN is related to its ability to estimate the height with a high agreement with LiDAR-based measurement and actual height with no requirement for phase calibration. Experimental results of different covariance window sizes are included to demonstrate that TSNN conducts height measurement with high spatial resolution and vertical accuracy outperforming the other two TomoSAR methods. Moreover, the conducted experiments on the effects of phase errors in different ranges show that TSNN has a good tolerance for small errors and is still able to precisely reconstruct forest heights

Statistical approaches for multichannel phase unwrapping

Synthetic Aperture Radar Interferometry allows the generation of Digital Elevation Model of an observed scene exploiting the phase signal. In order to provide the 3D reconstruction, a phase unwrapping procedure is required, which is an ill-posed problem. Multichannel datasets are able to solve the ambiguity providing a global solution. Within this manuscript two recently proposed statistical multichannel phase unwrapping methods are considered and compared. The first one is developed in the Bayesian-Markovian framework, while the second one is based on Kalman filtering. Results and comparisons on a simulated data set are reported, showing interesting results