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This paper presents an extended 3D exact rebinning formula in the Fourier space that leads to an iterative reprojection algorithm (iterative FOREPROJ), which enables the estimation of unmeasured oblique projection data on the basis of the whole set of measured data. In first approximation, this analytical formula also leads to an extended Fourier rebinning equation that is the basis for an approximate...
In this paper the frequency sample distribution in the reconstructed 3D object spectrum in 3D PET is investigated and accurately determinable by means of the here presented approach. It emerges from Fourier transform of both non-oblique and oblique 2D parallel projections. Direct Fourier method (DFM) is applied for the reconstruction due to its speed advantage. Simulation studies are accomplished...
In this paper the frequency sample distribution in the reconstructed 3D object spectrum in 3D PET is investigated and accurately determinable by means of the here presented approach. It emerges from Fourier transform of both non-oblique and oblique 2D parallel projections. Direct Fourier method (DFM) is applied for the reconstruction due to its speed advantage. Simulation studies are accomplished...
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