Russ,

I am guessing (hoping) that your query is addressed mainly at the distinction between 'Average Fiducial Mapping (AFM)' vs. 'Multi-Fiducial Mapping (MFM)', which are the two prime approaches we currently recommend for mapping to the PALS atlas. If so, I posted a response to Mike Fox last week (Oct 26th) that addresses this question. However, it was buried in with several other issues, so I have excerpted it below.

There are other mapping options in Caret besides AFM and MFM, and other issues besides what is covered below, so if this doesn't answer your questions, fire away again.

David


On Oct 31, 2005, at 6:20 PM, Russ Poldrack wrote:

Hi CARETeers - I have a question regarding algorithms for surface mapping (in this case, mapping group data to the PALS atlas). I can't seem to find any particular guidance regarding the strengths and weakness of the various surface mapping algorithms. Can one of you provide some suggestions regarding algorithm choice, or point me to a resource that describes this issue in more detail?
cheers
russ


 
From Mike Fox:
The question I had concerned the validity of mapping to 12 individuals, then averaging those results, as compared to mapping just once to the average anatomy of the 12 individuals (a new function of caret).  The two do not always give the same result, and I was wondering if you felt one was superior to the other and why.  I know that volume space atlas registration has adopted the second approach (ie data is warped to a single atlas which is the average of multiple subjects anatomy), but this does not necessarily make it superior.
  
DVE response:
For starters, it's useful to review what I said about this topic in the Discussion of the PALS paper:
 
In order to interpret the results of MFM, it is important to consider several underlying assumptions. Without access to the individual structural and fMRI data in any given study, it is impossible to work backwards from volume-averaged group data to determine what the actual pattern would be in any individual. Hence, the activations seen on any of the individual PALS-B12 surfaces do not reflect a pattern in fact attributable to any of the actual fMRI subjects. Nor do they necessarily reflect the pattern that would have arisen in the 12 subjects whose structural data contributed to the atlas if they had been tested using the same fMRI paradigm. MFM does provide an objective strategy for estimating both the region of most likely activation and a plausible upper bound on the total extent of activation. This constitutes an important advance over the common current practice of mapping volume-averaged results onto a single-subject atlas.
 
In many situations, it is appropriate to map group-average data using both AFM and MFM. The two mapping methods yield similar but not identical spatial patterns and are inherently complementary. AFM is conceptually simpler and allows readout of values at each surface node that correspond to a particular voxel value. MFM provides a more objective assessment of the most likely spatial distribution on the atlas surface.
-----
 
In short, I contend that MFM is a superior way to estimate the most likely spatial location of regions likely to have been modulated in any given paradigm. AFM can give significant biases in spatial localization, depending on the nature and location of the data.
 
However, a price is paid in terms of relating the surface node values in an MFM map to the voxel values in the volume. In some situations that's pretty important, but in others it may be largely irrelevant.
 
These issues are truly complex, as they are intimately linked to the nature of structural and functional variability and what is really meant by corresponding locations in different individual hemispheres.
 
I hope this is helpful. If you have further comments, questions, or discussion points, let me know.
 
David

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