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Your search keyword '"Zhang G.H."' showing total 2 results
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2 results on '"Zhang G.H."'

1. Decomposition of higher-order homogeneous tensors and applications to HARDI

Author

Balmashnova, E., Fuster, A., Florack, L.M.J., Panagiotaki, E., O'Donnell, L., Schultz, T., Zhang, G.H., Center for Analysis, Scientific Computing & Appl., Medical Image Analysis, Advanced School for Computing and Imaging, and Mathematical Image Analysis

Abstract

High Angular Resolution Diffusion Imaging (HARDI) holds the promise to provide insight in connectivity of the human brain in vivo. Based on this technique a number of different approaches has been proposed to estimate the ¿ber orientation distribution, which is crucial for ¿ber tracking. A spherical harmonic representation is convenient for regularization and the construction of orientation distribution functions (ODFs), whereas maxima detection and ¿ber tracking techniques are most naturally formulated using a tensor representation. We give an analytical formulation to bridge the gap between the two representations, which admits regularization and ODF construction directly in the tensor basis.

Published
2012

2. Fourth-order tensor invariants in high angular resolution diffusion imaging

Author

Fuster, A., Sande, van de, J., Astola, L.J., Poupon, C., Velterop, J., Haar Romeny, ter, B.M., Zhang, G.H., Adluru, N., Center for Analysis, Scientific Computing & Appl., Medical Image Analysis, Advanced School for Computing and Imaging, and Mathematical Image Analysis

Abstract

We consider new scalar quantities in the context of High Angular Resolution Diffusion Imaging (HARDI), namely, the principal invariants of fourth-order tensors modeling the diffusion profiles. We present the formalism needed to compute tensor invariants. We show results on the orthogonal basis of fourth-order tensor and on real HARDI phantom and brain data.

Published
2011

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