A new reconstruction method in the Fourier domain for 3D positron emission tomography

This article describes a new exact 3D reconstruction algorithm dedicated to cylindrical positron emission tomographs that does not require an estimation of missing projection data nor complex 3D interpolation procedures. This algorithm uses the 2D Fast Fourier Transform of non-transaxial projections to place suitable voxel values in the 3D FFT of the radioactive distribution. This leads to a direct fully 3D reconstruction algorithm with a limited amount of computation that requires only 1D interpolation procedures and benefits from redundant projection data to improve the signal to noise ratio in the radioactive distribution. To cite this article: D. Mariano-Goulart, J.-F. Crouzet, C. R. Physique 6 (2005).