Title
Efficient fiber clustering using parameterized polynomials
Abstract
In the past few years, fiber clustering algorithms have shown to be a very powerful tool for grouping white matter connections tracked in DTI images into anatomically meaningful bundles. They improve the visualization and perception, and could enable robust quantification and comparison between individuals. However, most existing techniques perform a coarse approximation of the fibers due to the high complexity of the underlying clustering problem or do not allow for an efficient clustering in real time. In this paper, we introduce new algorithms and data structures which overcome both problems. The fibers are represented very precisely and efficiently by parameterized polynomials defining the x-, y-, and z-component individually. A two-step clustering method determines possible clusters having a Gaussian distributed structure within one component and, afterwards, verifies their existences by principal component analysis (PCA) with respect to the other two components. As the PCA has to be performed only n times for a constant number of points, the clustering can be done in linear time O(n), where n denotes the number of fibers. This drastically improves on existing techniques, which have a high, quadratic running time, and it allows for an efficient whole brain fiber clustering. Furthermore, our new algorithms can easily be used for detecting corresponding clusters in different brains without time-consuming registration methods. We show a high reliability, robustness and efficiency of our new algorithms based on several artificial and real fiber sets that include different elements of fiber architecture such as fiber kissing, crossing and nested fiber bundles.
Year
DOI
Venue
2008
10.1117/12.768925
PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)
Keywords
Field
DocType
visualization,fiber clustering,fiber tracking,diffusion imaging techniques
Fuzzy clustering,CURE data clustering algorithm,Data stream clustering,Correlation clustering,Computer science,Algorithm,Theoretical computer science,Constrained clustering,Time complexity,Cluster analysis,Principal component analysis
Conference
Volume
ISSN
Citations 
6918
0277-786X
5
PageRank 
References 
Authors
0.52
0
6
Name
Order
Citations
PageRank
Jan Klein19510.94
hannes stuke270.99
Bram Stieltjes319355.84
Olaf Konrad4897.19
Horst K. Hahn545072.61
Heinz-otto Peitgen61030114.91