# Fan beam tomographic projections in Mathematica

I am embarking on a little project to redo some of my old MATLAB image processing code in Mathematica.

I am particularly interested in tomography, and I know of the Radon and InverseRadon functions that are now in Mathematica. But it seems there are no direct equivalents of the MATLAB functions fanbeam and ifanbeam from the Image Processing Toolbox. (More information on what they do is in this link.)

Is there any way I can use Radon and InverseRadon to reimplement fan beam projections in Mathematica? I am interested in solutions for both the arc and line geometry case, and would appreciate any ideas.

• Can you please explain what these MATLAB functions do and make the question self-contained? – Szabolcs Jun 30 '16 at 9:28
• Hi, I have given links to the documentation on the Matlab site, I hope the discussion there is clear. Thank you. – Melania Black Jun 30 '16 at 9:34
• If memory serves, there are conversion formulae you can use to go between fan beam and parallel beam projections, after which you can use the built-in Radon functionality. That is, try to look at how fan2para() and para2fan() were implemented in MATLAB, and use those to convert into a form usable by Radon[]/InverseRadon[]. – J. M. will be back soon Jun 30 '16 at 16:03