Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics
نویسندگان
چکیده
منابع مشابه
Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics
Practical statistical analysis of diffusion tensor images is considered, and we focus primarily on methods that use metrics based on Euclidean distances between powers of diffusion tensors. First we describe a family of anisotropy measures based on a scale invariant power-Euclidean metric, which are useful for visualisation. Some properties of the measures are derived and practical consideratio...
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The statistical analysis of covariance matrix data is considered and, in particular, methodology is discussed which takes into account the nonEuclidean nature of the space of positive semi-definite symmetric matrices. The main motivation for the work is the analysis of diffusion tensors in medical image analysis. The primary focus is on estimation of a mean covariance matrix and, in particular,...
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ژورنال
عنوان ژورنال: Journal of Applied Statistics
سال: 2015
ISSN: 0266-4763,1360-0532
DOI: 10.1080/02664763.2015.1080671