Statistical Shape Analysis - Hardcover

Dryden, Ian L.; Mardia, Kanti V.

Hardcover

ISBN 10: 0471958166 ISBN 13: 9780471958161

Publisher: Wiley–Blackwell, 1998

Synopsis

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.

About this title

Review:

"a book that should be accessible to most statisticians."
--Statistics in Medicine, Vol 19, 2001

Synopsis:

The study of shape has become increasingly important with the development of new computer technology which allows for the graphical display of statistical data. This book discusses the theory behind the statistical analysis of shape and how to apply it to a broad variety of topics from many disciplines.

About this edition

• Publisher: Wiley–Blackwell
• Publication date: 1998
• ISBN 10: 0471958166
• ISBN 13: 9780471958161
• Binding: Hardcover
• Number of pages: 376