Evaluation of fiber clustering methods for diffusion tensor imaging

Fiber tracking is a standard approach for the visualization of the results of diffusion tensor imaging (DTI). If fibers are reconstructed and visualized individually through the complete white matter, the display gets easily cluttered making it difficult to get insight in the data. Various clustering techniques have been proposed to automatically obtain bundles that should represent anatomical structures, but it is unclear which clustering methods and parameter settings give the best results. We propose a framework to validate clustering methods for white-matter fibers. Clusters are compared with a manual classification which is used as a ground truth. For the quantitative evaluation of the methods, we developed a new measure to assess the difference between the ground truth and the clusterings. The measure was validated and calibrated by presenting different clusterings to physicians and asking them for their judgement. We found that the values of our new measure for different clusterings match well with the opinions of physicians. Using this framework, we have evaluated different clustering algorithms, including shared nearest neighbor clustering, which has not been used before for this purpose. We found that the use of hierarchical clustering using single-link and a fiber similarity measure based on the mean distance between fibers gave the best results.

[1]  Anil K. Jain,et al.  Data clustering: a review , 1999, CSUR.

[2]  Carl-Fredrik Westin,et al.  Coloring of DT-MRI Fiber Traces Using Laplacian Eigenmaps , 2003, EUROCAST.

[3]  S. Wakana,et al.  Fiber tract-based atlas of human white matter anatomy. , 2004, Radiology.

[4]  P. Basser,et al.  In vivo fiber tractography using DT‐MRI data , 2000, Magnetic resonance in medicine.

[5]  John C. Gore,et al.  Case study: reconstruction, visualization and quantification of neuronal fiber pathways , 2001, Proceedings Visualization, 2001. VIS '01..

[6]  若菜 勢津 Fiber tract-based atlas of human white matter anatomy , 2006 .

[7]  Carl-Fredrik Westin,et al.  Tensor Field Regularization Using Normalized Convolution , 2003, EUROCAST.

[8]  G. W. Milligan,et al.  A Study of the Comparability of External Criteria for Hierarchical Cluster Analysis. , 1986, Multivariate behavioral research.

[9]  Guido Gerig,et al.  Towards a shape model of white matter fiber bundles using diffusion tensor MRI , 2004, 2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821).

[10]  Anna Vilanova,et al.  DTI visualization with streamsurfaces and evenly-spaced volume seeding , 2004, VISSYM'04.

[11]  Anil K. Jain,et al.  Algorithms for Clustering Data , 1988 .

[12]  David H. Laidlaw,et al.  Visualizing Diffusion Tensor MR Images Using Streamtubes and Streamsurfaces , 2003, IEEE Trans. Vis. Comput. Graph..

[13]  D. Laidlaw,et al.  Hierarchical Clustering of Streamtubes , 2002 .

[14]  Carl-Fredrik Westin,et al.  Clustering Fiber Traces Using Normalized Cuts , 2004, MICCAI.

[15]  David H. Laidlaw,et al.  Visualization and image processing of tensor fields , 2006 .

[16]  Vipin Kumar,et al.  Finding Clusters of Different Sizes, Shapes, and Densities in Noisy, High Dimensional Data , 2003, SDM.

[17]  Joshua S. Shimony,et al.  Automated Fuzzy Clustering of Neuronal Pathways in Diffusion Tensor Tracking , 2002 .