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The Resource Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource)
Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource)
Resource Information
The item Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 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 shapes and their transformations by diffeomorphisms. A direct application is to computational anatomy, for which techniques such as large‒deformation diffeomorphic metric mapping and metamorphosis, among others, are presented. The appendices detail a series of classical topics (Hilbert spaces, differential equations, Riemannian manifolds, optimal control). The intended audience is applied mathematicians and mathematically inclined engineers interested in the topic of shape analysis and its possible applications in computer vision or medical imaging. The first part can be used for an advanced undergraduate course on differential geometry with a focus on applications while the later chapters are suitable for a graduate course on shape analysis through the action of diffeomorphisms. Several significant additions appear in the 2nd edition, most notably a new chapter on shape datasets, and a discussion of optimal control theory in an infinitedimensional framework, which is then used to enrich the presentation of diffeomorphic matching.
 Language
 eng
 Edition
 2nd ed. 2019.
 Extent
 XXIII, 558 p. 47 illus., 14 illus. in color.
 Contents

 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
 Isbn
 9783662584965
 Label
 Shapes and Diffeomorphisms
 Title
 Shapes and Diffeomorphisms
 Statement of responsibility
 by Laurent Younes
 Subject

 Electronic resources
 Global Analysis and Analysis on Manifolds
 Global analysis
 Global differential geometry
 Global differential geometry
 Mathematical Applications in Computer Science
 Mathematical optimization
 Mathematical optimization
 Physiological, Cellular and Medical Topics
 Physiology  Mathematics
 Physiology  Mathematics
 Statistics
 Statistics
 Statistics for Life Sciences, Medicine, Health Sciences
 Calculus of Variations and Optimal Control; Optimization
 Differential Geometry
 Language
 eng
 Summary
 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 shapes and their transformations by diffeomorphisms. A direct application is to computational anatomy, for which techniques such as large‒deformation diffeomorphic metric mapping and metamorphosis, among others, are presented. The appendices detail a series of classical topics (Hilbert spaces, differential equations, Riemannian manifolds, optimal control). The intended audience is applied mathematicians and mathematically inclined engineers interested in the topic of shape analysis and its possible applications in computer vision or medical imaging. The first part can be used for an advanced undergraduate course on differential geometry with a focus on applications while the later chapters are suitable for a graduate course on shape analysis through the action of diffeomorphisms. Several significant additions appear in the 2nd edition, most notably a new chapter on shape datasets, and a discussion of optimal control theory in an infinitedimensional framework, which is then used to enrich the presentation of diffeomorphic matching.
 http://library.link/vocab/creatorName
 Younes, Laurent
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 90qwlywwcAU
 Image bit depth
 0
 LC call number
 QA76.9.M35
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Applied Mathematical Sciences,
 Series volume
 171
 http://library.link/vocab/subjectName

 Statistics
 Global analysis
 Global differential geometry
 Mathematical optimization
 Physiology
 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
 Label
 Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Dimensions
 unknown
 Edition
 2nd ed. 2019.
 Extent
 XXIII, 558 p. 47 illus., 14 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783662584965
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783662584965
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783662584965
 Label
 Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Dimensions
 unknown
 Edition
 2nd ed. 2019.
 Extent
 XXIII, 558 p. 47 illus., 14 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783662584965
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783662584965
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783662584965
Subject
 Electronic resources
 Global Analysis and Analysis on Manifolds
 Global analysis
 Global differential geometry
 Global differential geometry
 Mathematical Applications in Computer Science
 Mathematical optimization
 Mathematical optimization
 Physiological, Cellular and Medical Topics
 Physiology  Mathematics
 Physiology  Mathematics
 Statistics
 Statistics
 Statistics for Life Sciences, Medicine, Health Sciences
 Calculus of Variations and Optimal Control; Optimization
 Differential Geometry
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