Tensor lines in tensor fields of arbitrary order

Authors:
Mario Hlawitschka;Gerik Scheuermann;Alfred Anwander;Thomas Knösche;Marc Tittgemeyer;Bernd Hamann
Affiliations:
University of Leipzig, Germany;University of Leipzig, Germany;Max Planck Institute for Human Cognitive and Brain Science, Leipzig, Germany;Max Planck Institute for Human Cognitive and Brain Science, Leipzig, Germany;Max Planck Institute for Neurological Research, Cologne, Germany;Institute for Data Analysis and Visualization and Department of Computer Science, University of California, Davis
Venue:
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Year:
2007

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Abstract

This paper presents a method to reduce time complexity of the computation of higher-order tensor lines. The method can be applied to higher-order tensors and the spherical harmonics representation, both widely used in medical imaging. It is based on a gradient descend technique and integrates well into fiber tracking algorithms. Furthermore, the method improves the angular resolution in contrast to discrete sampling methods which is especially important to tractography, since there, small errors accumulate fast and make the result unusable. Our implementation does not interpolate derived directions but works directly on the interpolated tensor information. The specific contribution of this paper is a fast algorithm for tracking lines tensor fields of arbitrary order that increases angular resolution compared to previous approaches.