摘要 |
A method and apparatus for reconstructing a tomographic image using the parallel beam filtered back projection algorithm from sampled (12) fan beam data. The method includes the steps of performing a fast Fourier transform on the fan beam data with respect to a set of projection angles, and forming a linear combination of complementary data elements of the transformed data, lying at opposite projection bins. The method further includes the steps of linearly interpolating (18) the linear combination to obtain a regularly spaced set of data in Fourier space and performing an inverse Fourier transform on the linearly interpolated data. Finally, the method includes the step of reconstructing an image for a display (20) from the inverse transformed data using the filtered back projection algorithm.
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