Finsler Tractography for White Matter Connectivity Analysis of the Cingulum Bundle

In this paper, we present a novel approach for the segmentation of white matter tracts based on Finsler active contours. This technique provides an optimal measure of connectivity, explicitly segments the connecting fiber bundle, and is equipped with a metric which is able to utilize the directional information of high angular resolution data. We demonstrate the effectiveness of the algorithm for segmenting the cingulum bundle.

[1]  Vladimir Kolmogorov,et al.  Computing geodesics and minimal surfaces via graph cuts , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[2]  R. Luján.  Fiber Pathways of the Brain, J.D. Schmahmann, D.N. Pandya (Eds.). Oxford University Press (2006), ISBN: 0-19-510423-4 , 2008 .

[3]  Guido Gerig,et al.  Medical Image Computing and Computer-Assisted Intervention - MICCAI 2005, 8th International Conference, Palm Springs, CA, USA, October 26-29, 2005, Proceedings, Part I , 2005, MICCAI.

[4]  Sigurd B. Angenent,et al.  Finsler Active Contours , 2008, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  Zhiguo Sun,et al.  Anterior cingulum abnormalities in male patients with schizophrenia determined through diffusion tensor imaging. , 2004, The American journal of psychiatry.

[6]  Lawrence H. Staib,et al.  White matter tractography by anisotropic wavefront evolution and diffusion tensor imaging , 2005, Medical Image Anal..

[7]  Qingfen Lin,et al.  Enhancement, Extraction, and Visualization of 3D Volume Data , 2001 .

[8]  Rachid Deriche,et al.  Control Theory and Fast Marching Techniques for Brain Connectivity Mapping , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).

[9]  Ross T. Whitaker,et al.  A Level-Set Approach to 3D Reconstruction from Range Data , 1998, International Journal of Computer Vision.

[10]  Ron Kikinis,et al.  Medical Image Computing and Computer-Assisted Intervention — MICCAI 2002 , 2002, Lecture Notes in Computer Science.

[11]  Geoffrey J M Parker,et al.  A framework for a streamline‐based probabilistic index of connectivity (PICo) using a structural interpretation of MRI diffusion measurements , 2003, Journal of magnetic resonance imaging : JMRI.

[12]  Kaleem Siddiqi,et al.  Flux Maximizing Geometric Flows , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Rachid Deriche,et al.  A Riemannian Approach to Diffusion Tensor Images Segmentation , 2005, IPMI.

[14]  R. Kikinis,et al.  Cingulate fasciculus integrity disruption in schizophrenia: a magnetic resonance diffusion tensor imaging study , 2003, Biological Psychiatry.

[15]  Vladimir Kolmogorov,et al.  What metrics can be approximated by geo-cuts, or global optimization of length/area and flux , 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

[16]  S. Osher,et al.  Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations , 2004 .

[17]  Carl-Fredrik Westin,et al.  New Approaches to Estimation of White Matter Connectivity in Diffusion Tensor MRI: Elliptic PDEs and Geodesics in a Tensor-Warped Space , 2002, MICCAI.

[18]  Jean-Francois Mangin,et al.  Fiber Tracking in q-Ball Fields Using Regularized Particle Trajectories , 2005, IPMI.

[19]  James V. Miller,et al.  A Method for Registering Diffusion Weighted Magnetic Resonance Images , 2006, MICCAI.

[20]  Gareth J. Barker,et al.  Estimating distributed anatomical connectivity using fast marching methods and diffusion tensor imaging , 2002, IEEE Transactions on Medical Imaging.

[21]  Kaleem Siddiqi,et al.  Flux Maximizing Geometric Flows , 2001, ICCV.

[22]  Lasse Riis Østergaard,et al.  Active Surface Approach for Extraction of the Human Cerebral Cortex from MRI , 2006, MICCAI.

[23]  Carl-Fredrik Westin,et al.  A Hamilton-Jacobi-Bellman Approach to High Angular Resolution Diffusion Tractography , 2005, MICCAI.

[24]  Daniel Cremers,et al.  An Integral Solution to Surface Evolution PDEs Via Geo-cuts , 2006, ECCV.

[25]  Carl-Fredrik Westin,et al.  A Bayesian approach for stochastic white matter tractography , 2006, IEEE Transactions on Medical Imaging.

[26]  Stanley Osher,et al.  Fast Sweeping Methods for Static Hamilton-Jacobi Equations , 2004, SIAM J. Numer. Anal..

[27]  Eric Pichon,et al.  Novel Methods for Multidimensional Image Segmentation , 2005 .