Book: Statistical Shape Analysis

The book was published by John Wiley and Sons in July 1998.


Dryden, I.L. and Mardia, K.V. (1998). Statistical shape analysis, John Wiley and Sons, Chichester.


   author    = {Dryden, I. L. and Mardia, K. V.},
   title     = {Statistical Shape Analysis},
   year      = {1998},
   publisher = {Wiley},
   address   = {Chichester}

The table of contents can be viewed here.

A list of errata for the different printings is available.

The book can be ordered from John Wiley, Chichester.

ISBN 0 471 95816 6.

The book won the John Wiley and Sons Statistics Book of the Year prize in 1999.

The datasets and some R software can be obtained at this site.

Statistical Shape Analysis involves methods for the geometrical study of random objects where location, rotation and scale information can be removed. The book lays the foundations of the subject discussing key ideas and the very latest developments, as well as offering practical guidance and comparisons of techniques.

There is a vast range of applications of shape analysis and the authors introduce the field to Statisticians and Applied Researchers through important examples and data analysis in Biology, Medicine and Image Analysis.

The text primarily concentrates on landmark data - key points of correspondence located on each object. Careful consideration of the similarity invariances requires methods appropriate for non-Euclidean data analysis. In particular, multivariate statistical procedures cannot be applied directly, but can be adapted in certain instances.

The book begins with introductory material on shape, size and coordinate systems. Planar Procrustes analysis is then discussed to highlight the main components of shape analysis. The shape space and general Procrustes methods are introduced, probability distributions for shape are described and statistical inference is discussed. Some deformation methods for shape change are also given and a special chapter is devoted to shape in image analysis. Finally, various alternative procedures including landmark-free methods are critically discussed and compared.

Definitions and important results are highlighted throughout to assist the reader in learning about this new, exciting and important area.

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