Shapes and Diffeomorphisms (Applied Mathematical Sciences Book 171) 1st Edition by Laurent Younes (PDF)

Description

Shapes are complex objects to apprehend, as mathematical entities, in terms that also are suitable for 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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a must have book for those who need to have a solid mathematical foundation for large deformation shape analysis.

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