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Shapes and Diffeomorphisms by Laurent Younes

Shapes and Diffeomorphisms

by Laurent Younes
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Book cover type: Paperback
  • ISBN13: 9783642263484
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 438
  • Original Price: EUR 64.99
  • Language: English
  • Edition: 2010
  • Item Weight: 640 grams
  • BISAC Subject(s): Geometry / Differential, Graphic Methods, and Mathematical Analysis

From the Back Cover

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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