3D Tilted projection

Question

Alan AF 2011-12-16

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Is there any Matlab script to get 2D projections of a 3D matrix after rotating the 3D matrix X degrees over it self?

Actually I need to build a simulator for the Electron Tomography Image acquisition, In which a 2D images of an object are taken every time the object is rotated over it self for X degree from -A to +A Degree, as in the Image below. http://media.wiley.com/CurrentProtocols/PS/ps1702/ps1702-fig-0009-1-full.jpg

http://vis.lbl.gov/Vignettes/KDowning-Tomo/rays.jpg

I would very grateful for your help.

wish you a nice weekend.

Alan

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Answer 1

Bjorn Gustavsson 2011-12-19

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From the looks of your figures it seems as if you have parallel beam projection geometry. For the 2-D-to-1-D case your projections would be calculated with the Radon transform. Slightly depending on your exact geometry you might get away with a number of stacked radon transforms, all for various slices along your axis of rotation. Or you might have to make a 3-D version of radon.

HTH.