My publications on beam tomography

K. M. Hock, M. G. Ibison, et al, “Beam tomography in transverse normalised phase space,” Nuclear Instruments and Methods A, vol.. 642, Issue 1 (2011), pp. 36-44.

M. G. Ibison, K. M. Hock, et al, “Measurements at the ALICE Tomography Section,” Proceedings for the International Particle Accelerator Conference, San Sebastian, Spain (2011).


The following codes are written in Matlab, using the methods explained in chapter 3 of Kak and Slaney (1988):

phantom_2.m - generates a Shepp Logan phantom and the corresponding sinogram.
recon_2.m - reconstructs the image using the Filtered Back Projection method.
recon_3a.m - reconstructs the image using the Convolution Back Projection method.
test_script.m - a script to test the above functions.

Explanations on how to use these are are found in the codes.

(A Scilab version of the codes can be found here: Link.)


A Shepp Logan phantom



The sinogram, using 110 angles and 127 rays for each projection.



Reconstructed using the Filtered Back Projection method.



Reconstructed using the Convolution Back Projection method.


The difference between the two reconstructed images above is not very obvious - the second image is a bit brighter than the first. The Convolution Back Projection method gives a more accurate result that the Filtered Back Projection. This is explained in pp. 69 - 76 of Kak and Slaney (1988).

Last modified 10 June 2010.