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Applied Mathematical Sciences

Shapes and Diffeomorphisms

Authors: Younes, Laurent

  • -direct application of the theory presented in the book is a branch of the computerized analysis of medical images, called computational anatomy
  • -provides the background that is required for apprehending shapes in terms that are also suitable for computerized analysis and interpretation
  • -explores, in particular, the interesting connections between shapes and the objects that naturally act on them, diffeomorphisms
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eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-642-12055-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,35 €
price for Spain (gross)
  • ISBN 978-3-642-12054-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,35 €
price for Spain (gross)
  • ISBN 978-3-642-26348-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

Reviews

From the reviews:

“The book under review deals with the fascinating subject of shapes. … This is a book on applied mathematics which provides a description of the wide range of methods that have been invented to represent, detect, or compare shapes … together with the necessary mathematical background that they require. The book could also be of interest to an engineering- or computer-science-oriented reader, as it gives in several places concrete algorithms and applicable methods, including experimental illustrations.” (Luca Granieri, Mathematical Reviews, Issue 2011 h)

“This book is an attempt at providing a description of a large range of methods used to represent, detect and compare shapes … together with the mathematical background that they require. … This book on applied mathematics is of interest to engineers and computer scientists having direct applications in the computerized analysis of medical images. This theory will as well lead to other interesting applications in the future.” (Corina Mohorianu, Zentralblatt MATH, Vol. 1205, 2011)


Table of contents (13 chapters)

Buy this book

eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-642-12055-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,35 €
price for Spain (gross)
  • ISBN 978-3-642-12054-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,35 €
price for Spain (gross)
  • ISBN 978-3-642-26348-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Shapes and Diffeomorphisms
Authors
Series Title
Applied Mathematical Sciences
Series Volume
171
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-12055-8
DOI
10.1007/978-3-642-12055-8
Hardcover ISBN
978-3-642-12054-1
Softcover ISBN
978-3-642-26348-4
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XVI, 438
Number of Illustrations and Tables
36 b/w illustrations
Topics