Abstract：
:A novel method for estimating a field of fiber orientation distribution (FOD) based on signal de-convolution from a given set of diffusion weighted magnetic resonance (DW-MR) images is presented. We model the FOD by higher order Cartesian tensor basis using a parametrization that explicitly enforces the positive semi-definite property to the computed FOD. The computed Cartesian tensors, dubbed Cartesian Tensor-FOD (CT-FOD), are symmetric positive semi-definite tensors whose coefficients can be efficiently estimated by solving a linear system with non-negative constraints. Next, we show how to use our method for converting higher-order diffusion tensors to CT-FODs, which is an essential task since the maxima of higher-order tensors do not correspond to the underlying fiber orientations. Finally, we propose a diffusion anisotropy index computed directly from CT-FODs using higher order tensor distance measures thus consolidating the whole analysis pipeline of diffusion imaging solely using CT-FODs. We evaluate our method qualitatively and quantitatively using simulated DW-MR images, phantom images, and human brain real dataset. The results conclusively demonstrate the superiority of the proposed technique over several existing multi-fiber reconstruction methods.
journal_name
Med Image Analjournal_title
Medical image analysisauthors
Weldeselassie YT,Barmpoutis A,Atkins MSdoi
10.1016/j.media.2012.07.002subject
Has Abstractpub_date
2012-08-01 00:00:00pages
1121-9issue
6eissn
1361-8415issn
1361-8423pii
S1361-8415(12)00094-1journal_volume
16pub_type
杂志文章abstract：:Three-dimensional freehand ultrasound imaging produces a set of irregularly spaced B-scans, which are typically reconstructed on a regular grid for visualization and data analysis. Most standard reconstruction algorithms are designed to minimize computational requirements and do not exploit the underlying shape of the...
journal_title：Medical image analysis
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更新日期：1999-12-01 00:00:00
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pub_type： 杂志文章
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更新日期：2021-01-01 00:00:00
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更新日期：2019-08-01 00:00:00
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