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To compute an apparent 3D vectorial displacement
field, we use a non-rigid algorithm that diffuses an image to
another one. For more details on this method, you can look at "J. P. Thirion.
Fast Non-Rigid Matching of 3D Medical Images. Technical Report 2547, INRIA,
May 1995. Electronic version: http://www.inria.fr/RRRT/RR-2547.html"
and at "J.P Thirion. Image matching as a diffusion process: an analogy
with Maxwell's demons. Medical Image Analysis, 2(3):243-260, 1998."