By Laurent Younes

ISBN-10: 3642120547

ISBN-13: 9783642120541

ISBN-10: 3642263488

ISBN-13: 9783642263484

Shapes are advanced items to recognize, as mathematical entities, in phrases that still are appropriate for automated research and interpretation. This quantity presents the heritage that's required for this function, together with assorted techniques that may be used to version shapes, and algorithms which are to be had to investigate them. It explores, particularly, the attention-grabbing connections among shapes and the gadgets that obviously act on them, diffeomorphisms. The booklet is, so far as attainable, self-contained, with an appendix that describes a chain of classical themes in arithmetic (Hilbert areas, differential equations, Riemannian manifolds) and sections that characterize the cutting-edge within the research of shapes and their deformations.
A direct software of what's provided within the publication is a department of the automated research of scientific photos, known as computational anatomy.

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Shapes and Diffeomorphisms: 171 (Applied Mathematical Sciences) by Laurent Younes


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