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An algebraic solution to rigid registration of diffusion tensor images
Goh, A.   Vidal, R.  
Dept. of Biomedical Eng., Johns Hopkins Univ., Baltimore, MD;

This paper appears in: Biomedical Imaging: Nano to Macro, 2006. 3rd IEEE International Symposium on
Publication Date: 6-9 April 2006
On page(s): 642-645
Location: Arlington, VA,
ISBN: 0-7803-9576-X
INSPEC Accession Number: 9054361
Digital Object Identifier: 10.1109/ISBI.2006.1624998
Current Version Published: 2006-05-08

Abstract
We present an algebraic solution to direct registration of diffusion tensor images under various local deformation models. We show how to linearly recover the deformation from the partial derivatives of the tensor using the so-called diffusion tensor constancy constraint, a generalization of the brightness constancy constraint to diffusion tensor data. Given the tensor reorientation map, we show that solving for a rigid deformation becomes a linear problem. We test our direct approach on synthetic, brain and heart DT images

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