Title :
Reconstructions from Doppler Radon transforms
Author_Institution :
Dept. of Math., Lund Inst. of Technol., Sweden
Abstract :
We study whether it is possible to regain information about a vector field from projections, in the same way as is possible for scalar functions with Radon transform. It turns out that the curl and divergence of the field can be reconstructed separately from two different transforms, and algorithms are devised using a variant of the filtered back projection algorithm for reconstruction
Keywords :
Doppler measurement; Radon transforms; acoustic signal processing; filtering theory; flow measurement; signal reconstruction; ultrasonic measurement; Doppler Radon transforms; curl; divergence; filtered back projection algorithm; flow measurement; projections; reconstruction algorithms; scalar functions; ultrasonic measurements; vector field; Doppler measurements; Gaussian processes; Integral equations; Mathematics; Projection algorithms; Pulse measurements; Tomography; Ultrasonic imaging; Ultrasonic variables measurement;
Conference_Titel :
Image Processing, 1996. Proceedings., International Conference on
Conference_Location :
Lausanne
Print_ISBN :
0-7803-3259-8
DOI :
10.1109/ICIP.1996.561009
