Shapes and Diffeomorphisms [recurso electrónico] / by Laurent Younes.

Por: Younes, Laurent [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoSeries Applied Mathematical Sciences ; 171Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: XVI, 438p. 36 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642120558Tema(s): Mathematics | Global analysis | Visualization | Global differential geometry | Mathematics | Differential Geometry | Global Analysis and Analysis on Manifolds | VisualizationFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 516.36 Clasificación LoC:QA641-670Recursos en línea: Libro electrónicoTexto
Contenidos:
Parametrized Plane Curves -- Medial Axis -- Moment-Based Representation -- Local Properties of Surfaces -- Isocontours and Isosurfaces -- 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.
En: Springer eBooksResumen: Shapes are complex objects, which are difficult to apprehend as mathematical entities, in ways that can also be amenable to computerized analysis and interpretation. This volume provides the background that is required for this purpose, including different approaches that can be used to model shapes, and algorithms that are available to analyze them. It explores, in particular, the interesting connections between shapes and the objects that naturally act on them, diffeomorphisms. The book is, as far as possible, self-contained, with an appendix that describes a series of classical topics in mathematics (Hilbert spaces, differential equations, Riemannian manifolds) and sections that represent the state of the art in the analysis of shapes and their deformations. A direct application of what is presented in the book is a branch of the computerized analysis of medical images, called computational anatomy.
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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA641 -670 (Browse shelf(Abre debajo)) 1 No para préstamo 374167-2001

Parametrized Plane Curves -- Medial Axis -- Moment-Based Representation -- Local Properties of Surfaces -- Isocontours and Isosurfaces -- 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.

Shapes are complex objects, which are difficult to apprehend as mathematical entities, in ways that can also be amenable to computerized analysis and interpretation. This volume provides the background that is required for this purpose, including different approaches that can be used to model shapes, and algorithms that are available to analyze them. It explores, in particular, the interesting connections between shapes and the objects that naturally act on them, diffeomorphisms. The book is, as far as possible, self-contained, with an appendix that describes a series of classical topics in mathematics (Hilbert spaces, differential equations, Riemannian manifolds) and sections that represent the state of the art in the analysis of shapes and their deformations. A direct application of what is presented in the book is a branch of the computerized analysis of medical images, called computational anatomy.

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