Various beamforming reconstruction algorithms have been proposed in the literature for the reconstruction of the initial pressure rise such as Dealy and sum (DAS), Delay multiply and sum (DMAS), p-DAS, time reversal (TR), Fourier domain reconstruction etc. The universal back projection (UBP) is most popular amongst all due to its simplicity and fast implementation. Also, it can be applied to planar, spherical and cylindrical geometry. The reconstruction from conventional beamforming algorithm and UBP suffers from artifacts when insufficient data is used for the reconstruction. Due to the limited data, the under-sampling artifacts appears in the reconstructed image, which can degrade the image quality and leads to misinterpretation of the physiological condition. In this study, a compressed sensing-based algorithm based on ADMM is proposed for the linear array transducer which can mitigate the effect of the under-sampling artifacts and provide better results with the conventional beamforming reconstruction algorithms and UBP.
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