[3dem] SIRT, ART (and SART)

[Marin van Heel]

Dear Mike,

SIRT (Simultaneous Reconstruction Technique) is a 3D reconstruction 
technique by:
Peter Gilbert, Iterative methods for the three-dimensional 
reconstruction of an object from projections Journal of Theoretical 
Biology 36 (1972) 105-117.

This paper was a reaction from the MRC group in Cambridge to the earlier 
ART algorithm (Algebraic Reconstruction Technique):

Gordon, R., Bender, R., Herman, G.T.: Algebraic reconstruction 
techniques (ART) for three-dimensional electron microscopy and x-ray 
photography, Journal of Theoretical Biology 29:471-482, 1970.

The latter is a rather instable algorithm that was made to behave much 
better in SIRT by back projecting the residual errors from all 
projections simultaneously. In ART each error projection is 
back-projected immediately after the input projection image contributes 
to the 3D volume.

Such iterative algorithms, are non-linear and generally perform worse 
(both in reconstruction quality and in terms of their computational 
speed) than exact filter algorithms (George Harauz and Marin van Heel, 
Exact filters for general geometry three dimensional reconstruction, 
/Optik/ 73 (1986) 146-156;  The same algorithm was published by 
Radermacher and co-workers).

Moreover, iterative 3D algorithms are almost never tested with objective 
performance criteria such the Fourier Shell Correlation FDC (same Harauz 
and van Heel 1986 reference as above).

Iterative real-space algorithms may be convenient when constraints (such 
as positivity) are to be imposed during the 3D reconstruction procedure.

Hope this helps,

Marin van Heel


================================================

On 20/09/2010 22:43, Mike Marsh wrote:
> Hi all,
>
> Does everyone in the community mean the same thing when they say SIRT 
> or ART?  Or do different research groups mean slightly different things?
>
> I once heard an engineer for FEI describe SIRT and ART reconstruction 
> techniques in a talk, but his definitions differed from my how I 
> learned and understand them (as described in Kak and Slaney).
>
> So are these terms somewhat ambiguous or are there 
> community-accepted definitions for them?  If so, can you recommend an 
> appropriate review article?
>
> Thanks in advance,
> Mike Marsh

-- 
================================================================

     Marin van Heel

     Professor of Structural Biology

     Division of Molecular Biosciences
     Faculty of Natural Sciences
     Imperial College London
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