Title :
A combinatorial approach to vector tomography for Doppler spectral data
Author_Institution :
Dept. of Math., Lund Inst. of Technol., Sweden
Abstract :
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
Keywords :
Doppler measurement; acoustic tomography; combinatorial mathematics; flow measurement; image reconstruction; minimisation; spectral analysis; ultrasonic applications; velocity measurement; Doppler spectral data; acoustic properties; divergence; flow reconstruction; local minimisation combinatorial algorithm; neighbourhood structure; simulations; solenoid part reconstruction; ultrasound Doppler measurements; vector tomography; velocity spectra; Acoustic waves; Collimators; Doppler measurements; Fourier transforms; Frequency; Mathematics; Minimization methods; Solenoids; Tomography; Ultrasonic imaging;
Conference_Titel :
Image Processing, 1998. ICIP 98. Proceedings. 1998 International Conference on
Print_ISBN :
0-8186-8821-1
DOI :
10.1109/ICIP.1998.723407