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An efficient and accurate image reconstruction algorithm for ultrasoundtomography (UST) is described and demonstrated, which can recover accuratesound speed distribution from acoustic time series measurements made in softtissue. The approach is based on a second-order iterative minimisation of thedifference between the measurements and a model based on a ray-approximation tothe heterogeneous Green's function. It overcomes the computational burden offull-wave solvers while avoiding the drawbacks of time-of-flight methods.Through the use of a second-order iterative minimisation scheme, appliedstepwise from low to high frequencies, the effects of scattering areincorporated into the inversion.

Ray-based inversion accounting for scattering for biomedical ultrasound computed tomography