A combinatorial approach to vector tomography for Doppler spectral data

Velocity spectra of a flow can be made by ultrasound Doppler measurements. Using only part of the information in these spectra, it is possible to reconstruct the solenoid part and the support of the flow. Here we demonstrate that using a local minimisation combinatorial algorithm and a certain neighbourhood structure it is possible to reconstruct all of the flow, hence also the divergence. In simulations the reconstructions are very close to the original full flow.