Radon and Mojette Projections' Equivalence for Tomographic Reconstruction using Linear Systems

Recur,B., Desbarats,P., Domenger,J.P.

In medical imaging, the Radon transform, used for tomographic reconstruction, recovers a N-Dimension image from a set of acquired (N-1)D projections. However, it implies approximations in discrete domain. Beside this transform, Mojette transform has been developed as a discrete and exact transform. However, its construction is incompatible with physical X Rays properties. In this paper, after recalling generalities about both transforms, we introduce the conditions under which their projections are equivalent and how to rebuild an image with Mojette backprojection from a Radon acquisition using linear systems. This method will be applied on some examples and results will be compared with usual Radon transform.