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Algebraic Reconstructions

Algebraic reconstructions are much more flexible, but significantly slower.

They approach the problem as a set of linear equations to be solved.

Where:

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are the unknowns, i.e. the values of the image for each voxel

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are the coefficients which are known and derived from system‘s geometry. They

indicate how much each voxel „falls“ into the path of that specific projection

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are the measured projections.