Markovian method for 2D, 3D and 4D segmentation of MRI

Magnetic resonance imaging (MRI) is well adapted for early detection of diseases such as aortic aneuryms or dissections. In this paper, we present a new Markovian method which evolves an active contour for 2D, 3D and 4D (3D + time) segmentation. As opposed to other Markovian contour-based methods, our approach considers an implicit contour as the boundary of a 2D region. The regions are modeled via a Markov random field (MRF) and their computation is based on the maximum a posteriori probability criterion solved using an ICM algorithm. Our method depends on only one parameter that controls region boundary smoothness, is fast, easy to implement and can accommodate different likelihood functions to handle images with very different characteristics. Results on real and synthetic MRI are presented.

[1]  Anthony J. Yezzi,et al.  4D Active Surfaces for Cardiac Analysis , 2002, MICCAI.

[2]  Tony F. Chan,et al.  Active contours without edges , 2001, IEEE Trans. Image Process..

[3]  Ronald Fedkiw,et al.  Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.

[4]  Carlos Vázquez,et al.  Multiregion competition: A level set extension of region competition to multiple region image partitioning , 2006, Comput. Vis. Image Underst..

[5]  S. Dymarkowski,et al.  Clinical cardiac MRI , 2005 .

[6]  Max Mignotte,et al.  Endocardial Boundary E timation and Tracking in Echocardiographic Images using Deformable Template and Markov Random Fields , 2001, Pattern Analysis & Applications.

[7]  Alex M. Andrew,et al.  Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition) , 2000 .

[8]  Daniel Rueckert,et al.  Automatic tracking of the aorta in cardiovascular MR images using deformable models , 1997, IEEE Transactions on Medical Imaging.

[9]  Milan Sonka,et al.  Automated 4D Segmentation of Aortic Magnetic Resonance Images , 2006, BMVC.

[10]  Anthony J. Yezzi,et al.  Vessel Segmentation Using a Shape Driven Flow , 2004, MICCAI.

[11]  J. Besag On the Statistical Analysis of Dirty Pictures , 1986 .

[12]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.