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Wang Y, Salehian H, Cheng G, et al. Tracking on the Product Manifold of Shape and Orientation for Tractography from Diffusion MRI. Conf Comput Vis Pattern Recognit Workshops. 2014;2014:3051-3056doi: 10.1109/CVPR.2014.390.
Wang, Y., Salehian, H., Cheng, G., & Vemuri, B. C. (2014). Tracking on the Product Manifold of Shape and Orientation for Tractography from Diffusion MRI. Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops, 20143051-3056. https://doi.org/10.1109/CVPR.2014.390
Wang, Yuanxiang, et al. "Tracking on the Product Manifold of Shape and Orientation for Tractography from Diffusion MRI." Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops vol. 2014 (2014): 3051-3056. doi: https://doi.org/10.1109/CVPR.2014.390
Wang Y, Salehian H, Cheng G, Vemuri BC. Tracking on the Product Manifold of Shape and Orientation for Tractography from Diffusion MRI. Conf Comput Vis Pattern Recognit Workshops. 2014 Jun;2014:3051-3056. doi: 10.1109/CVPR.2014.390. PMID: 25531012; PMCID: PMC4270055.
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Conf Comput Vis Pattern Recognit Workshops. 2014 Jun;2014:3051-3056. doi: 10.1109/CVPR.2014.390.

Tracking on the Product Manifold of Shape and Orientation for Tractography from Diffusion MRI.

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops

Yuanxiang Wang, Hesamoddin Salehian, Guang Cheng, Baba C Vemuri

Affiliations

  1. Department of ECE, University of Florida, Gainesville, FL.
  2. Department of CISE, University of Florida, Gainesville, FL.

PMID: 25531012 PMCID: PMC4270055 DOI: 10.1109/CVPR.2014.390

Abstract

Tractography refers to the process of tracing out the nerve fiber bundles from diffusion Magnetic Resonance Images (dMRI) data acquired either in vivo or ex-vivo. Tractography is a mature research topic within the field of diffusion MRI analysis, nevertheless, several new methods are being proposed on a regular basis thereby justifying the need, as the problem is not fully solved. Tractography is usually applied to the model (used to represent the diffusion MR signal or a derived quantity) reconstructed from the acquired data. Separating shape and orientation of these models was previously shown to approximately preserve diffusion anisotropy (a useful bio-marker) in the ubiquitous problem of interpolation. However, no further intrinsic geometric properties of this framework were exploited to date in literature. In this paper, we propose a new intrinsic recursive filter on the product manifold of shape and orientation. The recursive filter, dubbed IUKFPro, is a generalization of the unscented Kalman filter (UKF) to this product manifold. The salient contributions of this work are: (1) A new intrinsic UKF for the product manifold of shape and orientation. (2) Derivation of the Riemannian geometry of the product manifold. (3) IUKFPro is tested on synthetic and real data sets from various tractography challenge competitions. From the experimental results, it is evident that IUKFPro performs better than several competing schemes in literature with regards to some of the error measures used in the competitions and is competitive with respect to others.

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Publication Types

Grant support