Reconstructing the Support of Medical Flows using the Iterated Best Placement Algorithm

Ultrasonic Doppler measurement of flows with continuous ultrasound gives rise to velocity spectras along lines. These measurements can be used to find tomographic data about the region in which reflecting particles are present, the support of the flow. The flow can e.g. be a blood flow inside a human body, then the reflecting particles are the blood corpuscles. Here we give a new algorithm, that uses the fact that the characteristic function of the support is binary, for reconstruction. We prove that the algorithm converges in an ideal case and simulations suggests that an adjusted version works fine with noisy data.