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Books > Computing & IT > Applications of computing > Artificial intelligence
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The Statistical Theory of Shape (Paperback, Softcover reprint of the original 1st ed. 1996)
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Discovery Miles 28 160
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The Statistical Theory of Shape (Paperback, Softcover reprint of the original 1st ed. 1996)
Series: Springer Series in Statistics
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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."
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