Full-waveform inversion (FWI) is an imaging technique that exploits the full information content of waves, including all the phases and their relative amplitude, to get a much higher resolution than tomographic methods, which only exploit a small fraction of the data. Over the last decade, FWI has reached maturity and emerged as the leading seismic imaging technique, along with the continuous development of high-performance computing. This trend also contributes to extending FWI towards new fields such as medical imaging. In this paper, we have developed a 2D extended formulation of FWI based on the alternating direction method of multipliers (ADMM) to estimate the speed of sound (SOS) and acoustic attenuation inside a heterogeneous medium from a circular array of 128 ultrasonic transducers. Our Extended 2D FWI has shown promising results when it is compared with travel time tomography and the classical formulation of FWI.
This study introduces a novel and powerful algorithm for optoacoustic tomography (OAT) in heterogeneous optical scattering media surrounded by optical fibers and ultrasonic transducers in a ring arrangement. The proposed algorithm uses the extended formulation of full-waveform inversion (FWI) based on the alternating direction method of multipliers (ADMM) and fluence compensation (FC). The speed of sound (SOS) map is required in this algorithm as prior information to perform classification and find different regions in the SOS map with equal optical absorption coefficients. The SOS map can be extracted by another FWI procedure applied to the acoustic data generated and recorded by transducers. The fluence map was calculated by Zemax inside the medium at near-infrared (NIR) optical wavelength. Finally, the proposed algorithm iteratively updates the optical absorption coefficients until the data computed with the estimated coefficients match the recorded photoacoustic signals at ultrasonic transducers. This approach shows extremely better results than classical time-reversal algorithms.
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