Abstract
Registration of Diffusion Weighted (DW)-MRI datasets has been commonly achieved to date in literature by using either scalar or 2nd-order tensorial information. However, scalar or 2nd-order tensors fail to capture complex local tissue structures, such as fiber crossings, and therefore, datasets containing fiber-crossings cannot be registered accurately by using these techniques. In this paper we present a novel method for non-rigidly registering DW-MRI datasets that are represented by a field of 4th-order tensors. We use the Hellinger distance between the normalized 4th-order tensors represented as distributions, in order to achieve this registration. Hellinger distance is easy to compute, is scale and rotation invariant and hence allows for comparison of the true shape of distributions. Furthermore, we propose a novel 4th-order tensor re-transformation operator, which plays an essential role in the registration procedure and shows significantly better performance compared to the re-orientation operator used in literature for DTI registration. We validate and compare our technique with other existing scalar image and DTI registration methods using simulated diffusion MR data and real HARDI datasets.
This research was in part supported by RO1 EB007082 and NS42075 to BCV and the data collection was in part supported by the grants R01 NS36992 and P41 RR16105. We thank Dr. Stephen Blackband for supporting the data collection and Dr. Shepherd for collecting the data.
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Keywords
- Angular Distribution
- Magnetic Resonance Image Image
- Order Tensor
- Registration Procedure
- High Angular Resolution
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Barmpoutis, A., Vemuri, B.C., Forder, J.R. (2007). Registration of High Angular Resolution Diffusion MRI Images Using 4th Order Tensors. In: Ayache, N., Ourselin, S., Maeder, A. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007. MICCAI 2007. Lecture Notes in Computer Science, vol 4791. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75757-3_110
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DOI: https://doi.org/10.1007/978-3-540-75757-3_110
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