Oblique sampling of projections for direct three-dimensional reconstruction

https://doi.org/10.1016/S0734-189X(87)80154-8Get rights and content

In computerized tomography, a 2-dimensional density distribution is calculated from its 1-dimensional projections (line integrals). Computationally intensive interpolation procedures can be avoided by using a variable ray width during the calculations. We generalize this concept to direct (true) 3-dimensional reconstruction, deriving an oblique tesselation of each 2-dimensional projection. This result allows faster computation of direct 3-dimensional reconstructions, as well as of 2-dimensional projections of any 3-dimensional picture stored on a cubic raster.

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