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Description
Ultrasound is becoming increasingly popular in non-invasive medical treatments. These procedures often rely on complex ultrasound simulations, which are computationally intensive and time-consuming. The simulations use the pseudo-spectral method with Fourier basis functions to solve differential equations, resulting in a significant portion of the simulation time being dedicated to Fast Fourier Transform (FFT) calculations. This work presents an approach that has the potential to reduce computation time and, consequently, the calculation costs of ultrasound wave propagation simulations used in the pre-planning phase of non-invasive treatments by employing the Pruned Fast Fourier Transform algorithm (Pruned FFT). To evaluate this approach, the existing simulation was modified to employ spectrum filtration applied to acoustic pressure and velocity using a binary map to emulate the behaviour of the pruned FFT. This allows the evaluation of the impact of the Pruned FFT on the number of computed elements in the spectral domain and the accuracy of the simulation. Results on real data have shown that it is possible to replace the Fast Fourier Transform (FFT) with the pruned version of the algorithm while getting results that are suitable for pre-planning purposes. In some cases, we were able to reduce the number of computed coefficients by more than 80% with an error in the focal point of around 1.5% in 2D simulation.
