Fan beam tomography--a la Cormack

John D. Zahrt; V. Faber; G. Milton Wing

doi:10.1117/12.142905

1 April 1993 Fan beam tomography--a la Cormack

John D. Zahrt, V. Faber, G. Milton Wing

Proceedings Volume 1824, Applications of Signal and Image Processing in Explosives Detection Systems; (1993) https://doi.org/10.1117/12.142905
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

We have taken Cormack's original algorithm for parallel beam tomography and generalized it for fan beam tomography. The algorithm involves three steps: (1) do a FFT in angle space (angle of rotation) for each detector; (2) solve a system of integral equations for each Fourier components; and (3) back FFT to obtain the density function. Step (2) above we accomplish by a singular value decomposition (for each Fourier component). The advantages are (1) the SVD does not change from object to object under interrogation, (2) the method is fast--capable of real time analysis, (3) the null space is explicitly displayed, and (4) the SVD is usable in second-generation hunting strategies. A video of a simulated model reconstruction will be shown.

Citation Download Citation

John D. Zahrt, V. Faber, and G. Milton Wing "Fan beam tomography--a la Cormack", Proc. SPIE 1824, Applications of Signal and Image Processing in Explosives Detection Systems, (1 April 1993); https://doi.org/10.1117/12.142905

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