EM algorithm for reconstructing overpressure field of underwater explosion induced shock wave

In this paper, we study the techniques of blast wave field reconstruction based on Tomography. Overpressure field is reconstructed by inverting the velocity field in the process of shock wave transmission. Since the reconstruction process is difficult due to the insufficient number of excitation sources and detectors, we propose an EM algorithm based on prior information. Appropriate models are constructed using the proposed methods, and a simulation example is put forward at last. The result reveals that compared with the traditional methods, this method has higher precision and converges faster. It also shows the validity and practicality of the developed algorithm in solving the problem of incomplete data reconstruction.