Flexible Segmentation and Smoothing of DT-MRI Fields Through a Customizable 
Structure Tensor

Schultz, Thomas; Burgeth, Bernhard; Weickert, Joachim; Bebis, George; Boyle, Richard; Parvin, Bahram; Koracin, Darko; Remagnino, Paolo; Nefian, Ara; Meenakshisundaram, Gopi; Pascucci, Valerio; Zara, Jiri; Molineros, Jose; Theisel, Holger; Malzbender, Tom

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Flexible Segmentation and Smoothing of DT-MRI Fields Through a Customizable Structure Tensor

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Schultz, Thomas
Computer Graphics, MPI for Informatics, Max Planck Society;

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Theisel, Holger
Computer Graphics, MPI for Informatics, Max Planck Society;

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Citation

Schultz, T., Burgeth, B., & Weickert, J. (2006). Flexible Segmentation and Smoothing of DT-MRI Fields Through a Customizable Structure Tensor. In Advances in Visual Computing : second International Symposium, ISVC 2006, Part I (pp. 455-464). Berlin, Germany: Springer.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-22E5-9

Abstract

We present a novel structure tensor for matrix-valued images. It allows for user defined parameters that add flexibility to a number of image processing algorithms for the segmentation and smoothing of tensor fields. We provide a thorough theoretical derivation of the new structure tensor, including a proof of the equivalence of its unweighted version to the existing structure tensor from the literature. Finally, we demonstrate its advantages for segmentation and smoothing, both on synthetic tensor fields and on real DT-MRI data.