Riemannian Geometric Statistics in Medical Image Analysis

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Autres auteurs : Pennec Xavier (Éditeur scientifique), Sommer Stefan (Éditeur scientifique), Fletcher Tom (Éditeur scientifique)
Format : Livre
Langue : anglais
Titre complet : Riemannian Geometric Statistics in Medical Image Analysis / edited by Xavier Pennec, Stefan Sommer and Tom Fletcher
Publié : San Diego : Academic Press , cop. 2020
Description matérielle : 1 vol. (XIX-614 p.)
Sujets :
Description
Notes : Part 1 Foundations of geometric statistics Chapter 1 Introduction to differential and Riemannian geometry Chapter 2 Statistics on manifolds Chapter 3 Manifold-valued image processing with SPD matrices Chapter 4 Riemannian geometry on shapes and diffeomorphisms Chapter 5 Beyond Riemannian geometry Part 2 Statistics on manifolds and shape spaces Chapter 6 Object shape representation via skeletal models (s-reps) and statistical analysis Chapter 7 Efficient recursive estimation of the Riemannian barycenter on the hypersphere and the special orthogonal group with applications Chapter 8 Statistics on stratified spaces Chapter 9 Bias on estimation in quotient space and correction methods Chapter 10 Probabilistic approaches to geometric statistics Chapter 11 On shape analysis of functional data Part 3 Deformations, diffeomorphisms and their applications Chapter 12 Fidelity metrics between curves and surfaces: currents, varifolds, and normal cycles Chapter 13 A discretize-optimize approach for LDDMM registration Chapter 14 Spatially adaptive metrics for diffeomorphic image matching in LDDMM Chapter 15 Low-dimensional shape analysis in the space of diffeomorphisms Chapter 16 Diffeomorphic density registration
Bibliographie : Réf. bibliogr. en fin de chapitre. Index
ISBN : 0-12-814725-3
978-0-12-814725-2
9780128147269