The Statistical Theory of Shape

Language: English

Published by Springer, 2011

1461284732 / 9781461284734

Series: Book 32 of 160 - Springer Series in Statistics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - In general terms, the shape of an object, data set, or image can be de fined as the total of all information that is invariant under translations, rotations, and isotropic rescalings. Thus two objects can be said to have the same shape if they are similar in the sense of Euclidean geometry. For example, all equilateral triangles have the same shape, and so do all cubes. In applications, bodies rarely have exactly the same shape within measure ment error. In such cases the variation in shape can often be the subject of statistical analysis. The last decade has seen a considerable growth in interest in the statis tical theory of shape. This has been the result of a synthesis of a number of different areas and a recognition that there is considerable common ground among these areas in their study of shape variation. Despite this synthesis of disciplines, there are several different schools of statistical shape analysis. One of these, the Kendall school of shape analysis, uses a variety of mathe matical tools from differential geometry and probability, and is the subject of this book. The book does not assume a particularly strong background by the reader in these subjects, and so a brief introduction is provided to each of these topics. Anyone who is unfamiliar with this material is advised to consult a more complete reference. As the literature on these subjects is vast, the introductory sections can be used as a brief guide to the literature.

Seller Inventory # 9781461284734

Title
The Statistical Theory of Shape
Author
Christopher G. Small
Publisher
Springer
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461284732
ISBN 13
9781461284734
Item weight
376 grams
Dimensions
235x155x14 mm
Series
Book 32 of 160: Springer Series in Statistics

AHA-BUCH GmbH

Einbeck, Germany

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