Algebraic Reconstruction Technique for Ultrasound Transmission Tomography

conference paper

English

Ultrasound transmission tomography is potentially promising alternative to standard X-Ray imaging in medical diagnosis, especially in mammography. The reconstruction of the local attenuation coefficient from the measured signals can be formulated as a large overdetermined system of linear equations based on a simplified ultrasound transmission model. It can be solved by means of the Kaczmarz algebraic reconstruction technique. The algorithm successively iterates through the equations and computes the corrections of the initial solution estimates. Because the original version of the algorithm does not guarantee convergence to the optimum, an extended version of the method is used here. It has been shown previously to converge to the least-mean-squares optimum. Both the original and extended algorithms are strictly sequential since the computation in the particular iteration depends on the corrections from the previous step. To enable parallelization of the method, thus speeding up the computation, a partitioning scheme is proposed and analyzed. The sequential as well as the partitioning-scheme algorithms are tested on both synthetic and real radiofrequency data (acquired using an experimental tomograph).

Algebraic reconstruction techniques, inverse Radon transform

Igor Peterlík, Radovan Jiřík, Nicole Ruiter, Rainer Stotzka, Jiří Jan Radim Kolář

2006

1. 1. 2006

The University of Ioannina

Ioannina, Řecko

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6

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