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New Perspectives in Stochastic Geometry$
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Wilfrid S. Kendall and Ilya Molchanov

Print publication date: 2009

Print ISBN-13: 9780199232574

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199232574.001.0001

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Statistical Shape Theory

Statistical Shape Theory

Chapter:
(p.348) 10 Statistical Shape Theory
Source:
New Perspectives in Stochastic Geometry
Author(s):

Wilfrid S. Kendall

Huiling Le

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199232574.003.0010

There are many variations on what one may regard as statistical shape, depending on the application in mind. The focus of this chapter is the statistical analysis of the shapes determined by finite sequences of points in a Euclidean space. We shall draw together a range of ideas from statistical shape theory, including distributions, diffusions, estimations and computations, emphasizing the role played by the underlying geometry. Applications in selected areas of current interest will be discussed.

Keywords:   statistical shape, Euclidean space, distributions, diffusions, estimations, computations

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