Reconstruction of tomographic images using analog projections and the digital Radon transform

I Svalbe, D van der Spek

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    The digital Radon transform (DRT) can be adapted to reconstruct images from analog projection data. This new technique is a variation of the conventional back-projection method. It requires no pre-filtering of the projection data, straightforward 1D linear interpolation and some simple sorting of projection samples. The DRT enables the use of a form of block-data copy for the reconstruction, which is fast in comparison to the usual methods of back-projection. To obtain reconstructed images of high quality, further intrinsic interpolation is required; the reconstructed image size has to be several times larger than the number of projection samples. We describe an algorithm to convert analog projection data into a form suitable to apply the DRT. We compare the performance of the "standard" DRT and a hybrid version of the DRT to some conventional reconstruction algorithms. Author Keywords: Tomographic reconstruction; Radon transform; Discrete image processing
    Original languageUndefined/Unknown
    Pages (from-to)125-145
    Number of pages21
    JournalLinear Algebra and Its Applications
    Issue number1-3
    Publication statusPublished - 2001

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