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What is Shape and Shape Theory about?

Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians, engineers and computer scientists. Mathematically,'shape'is the geometrical information required to describe an object when location, scale and rotational effects are removed. The theory was pioneered by Professor David Kendall to solve practical problems concerning shape. This text presents an elegant account of the theory of shape that has evolved from Kendall's work. Features include: • A comprehensive account of Kendall's shape spaces • A variety of topological and geometric invariants of these spaces • Emphasis on the mathematical aspects of shape analysis • Coverage of the mathematical issues for a wide range of applications The early chapters provide all the necessary background information, including the history and applications of shape theory. The authors then go on to analyse the topic, in brilliant detail, in a varie

Author

David George Kendall; Dennis Barden; T. K Carne; H Le

Publisher

John Wiley & Sons, Incorporated

Published

1999

Language

EN

ISBN

9780471968238

Subjects

Mathematics, Stem