Estimating Crossing Fibers: A Tensor Decomposition Approach
IEEE Transactions on Visualization and Computer Graphics
Detection of crossing white matter fibers with high-order tensors and rank-k decompositions
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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In analyzing diffusion magnetic resonance imaging, multitensor models address the limitations of the single diffusion tensor in situations of partial voluming and fiber crossings. However, selection of a suitable number of fibers and numerical difficulties in model fitting have limited their practical use. This paper addresses both problems by making spherical deconvolution part of the fitting process: We demonstrate that with an appropriate kernel, the deconvolution provides a reliable approximative fit that is efficiently refined by a subsequent descent-type optimization. Moreover, deciding on the number of fibers based on the orientation distribution function produces favorable results when compared to the traditional F-Test. Our work demonstrates the benefits of unifying previously divergent lines of work in diffusion image analysis.