IEEE Transactions on Biomedical Engineering · 1981 · 113 citations · 6 references
Computed TomographyNumerical AnalysisImage ReconstructionEngineeringImage AnalysisComputerized TomographySignal ReconstructionCt ScanPhoton-counting Computed TomographyRadiologyHealth SciencesDirect Fourier InversionReconstruction TechniqueMedical ImagingSynthetic Aperture RadarInverse ProblemsExact InterpolationMedical Image ComputingExact Interpolation FormulaOptimum InterpolationBiomedical ImagingNearest NeighborImage Restoration
In this paper an exact interpolation formula forms the basis for reconstructing computerized tomographic (CT) imagery by direct Fourier methods. Practical variations of exact interpolation are compared with other interpolation methods (i.e., nearest neighbor, etc.) and are shown to yield superior imagery. Images produced by the direct Fourier approach using near-exact interpolation are shown to be equal in quality with those produced by filtered convolution backprojection (FCBP). Moreover, the direct Fourier approach computes an image in O(N2 log N) time versus O(N3) for the FCBP method.
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