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