Automatic Deformable Diffusion Tensor Registration for Fiber Population Analysis

In this work, we propose a novel method for deformable tensor-to-tensor registration of Diffusion Tensor Images. Our registration method models the distances in between the tensors with Geode-sic-Loxodromes and employs a version of Multi-Dimensional Scaling (MDS) algorithm to unfold the manifold described with this metric. Defining the same shape properties as tensors, the vector images obtained through MDS are fed into a multi-step vector-image registration scheme and the resulting deformation fields are used to reorient the tensor fields. Results on brain DTI indicate that the proposed method is very suitable for deformable fiber-to-fiber correspondence and DTI-atlas construction.

[1]  Juan Ruiz-Alzola,et al.  Nonrigid registration of 3D tensor medical data , 2002, Medical Image Anal..

[2]  Carl-Fredrik Westin,et al.  Spatial normalization of diffusion tensor MRI using multiple channels , 2003, NeuroImage.

[3]  Nicholas Ayache,et al.  Medical Image Computing and Computer-Assisted Intervention - MICCAI 2007, 10th International Conference, Brisbane, Australia, October 29 - November 2, 2007, Proceedings, Part I , 2007, MICCAI.

[4]  Paul A. Yushkevich,et al.  Deformable Registration of Diffusion Tensor MR Images with Explicit Orientation Optimization , 2005, MICCAI.

[5]  Carl-Fredrik Westin,et al.  Geodesic-Loxodromes for Diffusion Tensor Interpolation and Difference Measurement , 2007, MICCAI.

[6]  Jan Sijbers,et al.  Affine Coregistration of Diffusion Tensor Magnetic Resonance Images Using Mutual Information , 2005, ACIVS.

[7]  Derek K. Jones,et al.  Diffusion‐tensor MRI: theory, experimental design and data analysis – a technical review , 2002 .

[8]  Ioannis A. Kakadiaris,et al.  Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis , 2004, Lecture Notes in Computer Science.

[9]  P. Thomas Fletcher,et al.  Principal Geodesic Analysis on Symmetric Spaces: Statistics of Diffusion Tensors , 2004, ECCV Workshops CVAMIA and MMBIA.

[10]  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.

[11]  Guido Gerig,et al.  Three-dimensional multi-scale line filter for segmentation and visualization of curvilinear structures in medical images , 1998, Medical Image Anal..

[12]  Carl-Fredrik Westin,et al.  Deformable registration of DT-MRI data based on transformation invariant tensor characteristics , 2002, Proceedings IEEE International Symposium on Biomedical Imaging.

[13]  N. Ayache,et al.  Log‐Euclidean metrics for fast and simple calculus on diffusion tensors , 2006, Magnetic resonance in medicine.

[14]  James C. Gee,et al.  Spatial transformations of diffusion tensor magnetic resonance images , 2001, IEEE Transactions on Medical Imaging.

[15]  J. Kruskal Nonmetric multidimensional scaling: A numerical method , 1964 .