DIFFEOMORPHIC ACTIVE CONTOURS.
In this study we present a geometric flow approach to the segmentation of three-dimensional medical images obtained from magnetic resonance imaging (MRI) or computed tomography (CT) scan methods, by minimizing a cost function. This energy term is based on the intensity of the original image and its minimum is found following a gradient descent curve in an infinite-dimensional space of diffeomorphisms (Diff) to preserve topology. The general framework is reminiscent of variational shape optimization methods, but remains closer to general developments on deformable template theory of geometric flows. In our case, the metric that provides the gradient is defined as a right invariant inner product on the tangent space (𝒱) at the identity of the group of diffeomorphisms, following the general Lie group approach suggested by Arnold [2]. To avoid local solutions of the optimization problem and to mitigate the influence of several sources of noise, a finite set of control points is defined on the boundary of the template binary images, yielding a projected gradient descent on Diff.
Arrate
Felipe
F
Department Applied Mathematics and Statistics, Center of Imaging Science, Johns Hopkins University, 307-B Clark Hall, 3400 N-Charles Street, Baltimore, MD 21218, USA, ( felipe.arrate@jhu.edu ).
Ratnanather
J Tilak
JT
Younes
Laurent
L
IEEE Trans Image Process. 2007 Mar;16(3):803-12
17357738
IEEE Trans Med Imaging. 1997 Apr;16(2):199-209
9101329
Annu Rev Biomed Eng. 2002;4:375-405
12117763
IEEE Trans Med Imaging. 1995;14(2):328-38
18215836
Neuroimage. 2004;23 Suppl 1:S19-33
15501089
IEEE Trans Image Process. 2001;10(2):266-77
18249617
IEEE Trans Med Imaging. 2007 Apr;26(4):462-70
17427733
Neuroimage. 2008 Feb 15;39(4):1803-14
18061481
IEEE Trans Image Process. 2000;9(8):1357-70
18262973
IEEE Trans Med Imaging. 2003 Jun;22(6):773-6
12872953
Neuroimage. 2008 Mar 1;40(1):68-76
18249009
IEEE Trans Image Process. 1996;5(10):1435-47
18290061
J Biomed Biotechnol. 2008;2008:346129
18695738
IEEE Trans Image Process. 2008 May;17(5):767-79
18390381
Hum Brain Mapp. 2009 Jul;30(7):2132-41
18781592
Neuroimage. 2009 Mar;45(1 Suppl):S40-50
19059343
Med Image Comput Comput Assist Interv. 2005;8(Pt 2):757-64
16686028
IEEE Trans Image Process. 2007 Nov;16(11):2787-801
17990755