[Insight-users] Tensor Field Interpolation

[Michael Hardisty]

Hello ITK users,

                        I am currently working with strain tensor field 
images.  I essentially have images with pixels that contain within them 
a second order tensor, strain.  I wish to smooth the images and resample 
the images on to a finer grid.  I am unsure how to work with these 
images using ITK.  There does not seem to be any facilities designed to 
work with these type of tensor fields.  Could someone please suggest 
what features I might use?

I have specific rules as to how the tensors (pixels) should be added and 
scalar multiplied.  These rules are the primary reason I think that 
these images are not easily processed within ITK.  I was wondering if I 
could easily interpolate and resample these images by deriving a class 
from the SymmetricSecondRankTensor parent class and redefine the scalar 
multiplication and tensor addition and then simply use the existing 
resample and smoothing filters and appropriate interpolation functions 
to accomplish my task? What I am essentially asking is, can I make a 
tensor class that obeys the rules that I have mentioned above and then 
use this as a pixel type in a regular image and expect smoothing and 
resample image filters to work?


Any help will be much appreciated.  Thanks

-- 
Michael Hardisty
M.A.Sc Student
University of Toronto
Orthopaedic Biomechanics Laboratory
Sunnybrook & Women's College Health Sciences Centre

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