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Subject: Re: 3D reconstruction from 2D CT images
Date: Tue, 2 Dec 2008 17:00:19 +0000 (UTC)
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Hi 
- can you suggesta reference for an introduction to  M ART ?
-  I'd like to evaluate reduced-view CT , should I also start with Herman and Kuba ?
- any suggested CT course/ppt's that include MATLAB excercises/samples ?

Thx,
AlexC 

"Thomas Clark" <t.clark@remove.spamcantab.net> wrote in message <gh3289$o32$1@fred.mathworks.com>...
> First, we need to clarify the question. Are you asking:
> 
> "I have 2D slices from a fully 3D CT dataset and I need to do something with them"
> 
> -OR-
> 
> "I have 2D image data which I wish to put together in order to create a 3D image"
> 
> ??? Have a think, I'll presume the second answer in the meantime...
> 
> The originally posted question can be rephrased 'How different projections of an object be used to reconstruct it's 3D shape?.' This is the subject of tomography ('tomos' in greek is a 'section, slice or cutting' according to wikipedia!).
> 
> Now, there are a number of different types of tomography - my PhD is based around one, MART (Multiplicative Algebraic Reconstruction Technique) which I could help you to understand. However, I don't actually think that this is right for you. To my knowledge, Computerised Tomography (CT) for medical purposes is often done by means of a Radon Transform - one of the other posters gives a link to a radon transform site which might be useful.
> 
> Sorry, I don't know the details of radon transforms - but I can point you to exactly the right textbook to get you under way. The guru of the field is Gabor T Herman; check out one of his books:
> 
> Image Reconstruction from Projections: Fundamentals of Computed Tomography
> G. T. Herman
> Academic press 1981
> ISBN-13:  978-0123420503
> 
> OR
> 
> Discrete Tomography: Foundations, Algorithms and Applications
> G. T. Herman and A. Kuba
> Birkhauser Verlag AG 1999
> ISBN-13:  978-3764341015
> 
> 
> ... The latter is more up to date, so likely to be a bit more relevant for modern computing tasks. It's also cheaper.
> 
> Be warned that tomography can be incredibly computationally expensive. To give you an idea I've just bought a quad-core machine with 20Gb of ram to cope... although requirements vary wildly depending on the resolution you require, the number of elevations/sections you have, and the size of the 3D volume itself.
> 
> Hope this kicks you off...
> 
> Tom Clark