||Radon Transform in Tomographic Image Reconstruction
||Marcussen, Ditte Iben
Trinderup, Camilla H.
||Hansen, Per Christian (Scientific Computing, Department of Informatics and Mathematical Modeling, Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark)
||Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark
||There are different methods for approaching the inverse problem of reconstructing a tomographic image from its sinogram. The filtered backprojection, FBP,
is one of them and is a widely used method in both engineering and especially
medical science. But there are also other ways to reconstruct these images.
Two other methods for reconstructing are the SVE/SVD and the ART methods.
The first one is based on the singular value expansion of an operator, and
the second one is based on constructing a linear system of equations, with a
sparse matrix and then solving this with the iterative CGLS method. Both the
SVE/SVD method and the ART method gives good results, and it is easy to
compute these solutions when the preliminary work has been done. For the first method it is easy to determine a truncation parameter and decrease the
effect the noise has on the image. For the second method the quality of the
solution can be increased by increasing the number of iterations in the CGLS
solver. Comparing simulated reconstructions from all three methods gives a
clear picture of which to prefer.
Creation date: 2009-05-15
Update date: 2010-08-25