DocumentCode :
3494989
Title :
Polyaffine parametrization of image registration based on geodesic flows
Author :
Hansen, Michael S. ; Thorup, Signe S. ; Warfield, Simon K.
Author_Institution :
Harvard Med. Sch., Children´´s Hosp., Boston, MA, USA
fYear :
2012
fDate :
9-10 Jan. 2012
Firstpage :
289
Lastpage :
295
Abstract :
Image registration based on geodesic flows has gained much popularity in recent years. We describe a novel parametrization of the velocity field in a stationary flow equation. We show that the method offers both precision, flexibility, and simplicity of evaluation. With our representation, which is very similar to existing methods, we show that we can find an analytical solution. This solution converges exponentially to the true solution, and the gradients may be determined similarly. We compare to existing prominent methods; the log-euclidean polyaffine framework, and the DARTEL implementation of geodesic shooting for computational anatomy. We avoid to do warp field convolution by interpolation in a dense field, we can easily calculate warp derivatives in a reference frame of choice, and we can consequently avoid interpolation in the image space altogether.
Keywords :
convergence of numerical methods; convolution; differential geometry; flow; image registration; interpolation; medical image processing; DARTEL implementation; analytical solution; computational anatomy; dense field interpolation; geodesic flows; image registration; image space; log-Euclidean polyaffine framework; log-euclidean polyaffine; polyaffine parametrization; stationary flow equation; velocity field; warp field convolution; Active appearance model; Equations; Image registration; Interpolation; Mathematical model; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Mathematical Methods in Biomedical Image Analysis (MMBIA), 2012 IEEE Workshop on
Conference_Location :
Breckenridge, CO
Print_ISBN :
978-1-4673-0352-1
Electronic_ISBN :
978-1-4673-0353-8
Type :
conf
DOI :
10.1109/MMBIA.2012.6164768
Filename :
6164768
Link To Document :
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