Fast reconstruction of fan-beam CT and SPECT

X-ray or gamma ray systems or devices – Specific application – Computerized tomography

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378 19, 378 99, A61B 603

Patent

active

061154466

ABSTRACT:
A method and apparatus for reconstructing a tomographic image using the parallel beam filtered backprojection algorithm from fan beam data, q(.alpha., .beta.). The method includes the steps of performing a fast fourier transform on the fan beam data, q(.alpha., .beta.), with respect to a set of projection angles, .beta. and forming a linear combination of complementary data elements of the transformed data, lying at projection bins of .alpha. and -.alpha.. The method further includes the steps of linearly interpolating the linear combination to obtain a regularly spaced set of data, P.sub.k.sup.(.omega.) (.xi.), in fourier space and performing an inverse fourier transform on the linearly interpolated data. Finally, the method includes the step of reconstructing an image from the inverse transformed data using the filtered back projection algorithm.

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