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

Date issued

2008

Journal Title

Journal ISSN

Volume Title

Publisher

Václav Skala - UNION Agency

Abstract

In medical imaging, the Radon transform, used for tomographic reconstruction, recovers a N-Dimensional image from a set of acquired (N-1)D projections. However, it implies approximations in discrete domain. Beside this transform, Mojette transform has been developped as a discrete and exact transform. However, its construction is incompatible with physical X-Rays properties. In this paper, after having recalled generalities about both transforms, we introduce the conditions under which their projections are equivalent and how to reconstruct an image with the 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.

Description

Subject(s)

radonová transformace, mojette transformace, tomografie, rekonstrukce, lineární systémy

Citation

WSCG '2008: Communication Papers: The 16-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision in co-operation with EUROGRAPHICS: University of West Bohemia, Plzen, Czech Republic, February 4 - 7, 2008, p. 191-198.