Titlebook: Geometric Theory of Information; Frank Nielsen Book 2014 Springer International Publishing Switzerland 2014 Banach Information Manifolds.C

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https://doi.org/10.1057/9781137412119al hyperbolic space with various families of partial orderings which lead to a complete lattice structure. Properties of order invariance are explored and application to morphological processing of univariate Gaussian distribution-valued images is illustrated.

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Diffeomorphic Iterative Centroid Methods for Template Estimation on Large Datasets, on datasets of real and synthetic hippocampi segmented from brain MRI. The results show that the centroid is correctly centered within the population and is stable for different orderings of subjects. When used as an initialization, the approach allows to substantially reduce the computation time of template estimation.

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,Morphological Processing of Univariate Gaussian Distribution-Valued Images Based on Poincaré Upper-al hyperbolic space with various families of partial orderings which lead to a complete lattice structure. Properties of order invariance are explored and application to morphological processing of univariate Gaussian distribution-valued images is illustrated.

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1860-4862 GSI’2013 - Geometric Science of Information.Presents many cuThis book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing,

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