Simple object reconstruction using compressive sampling

This paper proposes a method for reconstruction of simple objects by solving the inverse scattering problem using compressive sampling. One is a continuation of research previously developed by the authors for locating point targets. Unlike the latter, now we are dealing with more complex objects which can be seen as a white spot formed by various point target. A series of simple targets were studied using a model developed using convex optimization. This allows us to evaluate the model under different configurations and conditions looking for limiting operation conditions. A thresholding method also is implemented to improve the reconstructed image and we define indicators to measure the error in the reconstructed image like: the global error, the estimation error and the reconstruction error.