The Resource Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource)

Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource)

Label
Shapes and Diffeomorphisms
Title
Shapes and Diffeomorphisms
Statement of responsibility
by Laurent Younes
Creator
Contributor
Author
Author
Provider
Subject
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 infinite-dimensional framework, which is then used to enrich the presentation of diffeomorphic matching.
Member of
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)
Instantiates
Publication
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
10.1007/978-3-662-58496-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-662-58496-5
Label
Shapes and Diffeomorphisms, by Laurent Younes, (electronic resource)
Publication
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
10.1007/978-3-662-58496-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-662-58496-5

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