Shapes and Diffeomorphisms

• Κύριος συγγραφέας: Younes, Laurent (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2019.
• Έκδοση: 2nd ed. 2019.
• Σειρά: Applied Mathematical Sciences, 171
• Θέματα: Computer science-Mathematics.; Computer mathematics.; Statistics .; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Calculus of variations.; Biomathematics.; Mathematical Applications in Computer Science.; Statistics for Life Sciences, Medicine, Health Sciences.; Global Analysis and Analysis on Manifolds.; Differential Geometry.; Calculus of Variations and Optimal Control; Optimization.; Physiological, Cellular and Medical Topics.

This book covers mathematical foundations and methods for the computerized analysis of shapes, providing the requisite background in geometry and functional analysis and introducing various algorithms and approaches to shape modeling, with a special focus on the interesting connections between shape...

Πίνακας περιεχομένων:

• Preface to the 2nd Edition
• Preface to the 1st Edition
• Parametrized Plane Curves
• Medial Axis
• Local Properties of Surfaces
• Computations on Triangulated Surfaces- Evolving Curves and Surfaces
• Deformable templates
• Ordinary Differential Equations and Groups of Diffeomorphisms
• Building Admissible Spaces
• Deformable Objects and Matching Functionals
• Diffeomorphic Matching
• Distances and Group Actions
• Metamorphosis
• Analyzing Shape Datasets
• Appendices: Elements from Functional Analysis
• Elements from Differential Geometry
• Ordinary Differential Equations
• Introduction to Optimization and Optimal Control Theory. - Principal Component Analysis
• Dynamic Programming
• References
• Index.