A Combinatorical 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 combinatorical 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. 1 Spectrum theory Consider a stationary flow inside a bounded body described by a vector valued function . When a collimated ultrasonic wave of frequency 0 and velocity c, a? t??? ei0t ? meets a particle of speed in the opposite direction of the wave, having the right acoustic properties, the reflected signal obtains a Doppler shift . If ???? c, then ? k with k ? 20 c ? The sign is reversed if the particle moves in the same direction as the wave. If some simplifying physical assumptions are made, the reflected signal is ...

• Type: Conference
• Year: 1998
• Where: ICIP
• Authors: Kent Stråhlén
• Keywords: ICIP 1998, Image Processing, Minimisation Combinatorical Algorithm, Stationary Flow, Ultrasound Doppler Measurements