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Hard thresholding based compressed sensing approach for thermoacoustic tomography

In this paper we present a reconstruction method based on compressed sensing for thermoacoustic tomography. The proposed method combines hard thresholding algorithm with conjugate gradient method to solve the inverse source problem of thermoacoustic tomography. Within the compressed sensing approach, the method is applied to thermoacoustic tomography. Numerical results for two different scenarios verify that the proposed method improves the image reconstruction quality with under-sampled data.