In: Physics
List the factors that comprise the image formation model. Describe each briefly.
Image Formation Model consists of following
 consists of 
 shapes: 
 , 
. (e.g. ventricles, putamen,
hippocampus, ...)
 can be any spatial
transformation within a specified set. The set can include
non-linear warps with arbitrarily large number of Degrees Of
Freedom. This transformation applies to all of the shapes,
.
 are intensity scaling parameters
and 
 generates the 
th basis image of a shape ..
 is a spatially uncorrelated
Gaussian noise process with 
, 
.Note that all images (
, 
, 
, etc) are treated as vectors of
length 
, where 
 is the number of voxels in the
image.