UPC: 9783662584958 | Applied Mathematical Sciences: Shapes and Diffeomorphisms (Hardcover)
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UPC lookup results for: 9783662584958 | Applied Mathematical Sciences: Shapes and Diffeomorphisms (Hardcover)
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.
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