Tomographic SAR inversion by generic log-barrier algorithm: the second order cone programming approach

In Multi-Baseline SAR tomography it is necessary to process the acquired data by advanced signal processing techniques in order to adequately compensate the bad consequences of an under-sampled configuration. These techniques have to properly work on an environment characterized to have point targets, distributed targets and both of theme. This paper considers the Convex Optimization (CVX) tomographic solution in order to process multi-baseline data-sets collected in a Fourier under-sampled configuration in the above mentioned environment. The CVX and the Second Order Cone Programming Solution (SOCPs) have been tested by a generic log-barrier algorithm, through a successfully computational bottleneck Newton calculation. These techniques are validated on point targets, distributed targets and realistic forested environments.