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<図書>
Statistical shape analysis

責任表示 I.L. Dryden and K.V. Mardia
シリーズ Wiley series in probability and mathematical statistics
データ種別 図書
出版情報 Chichester : Wiley , c1998
本文言語 英語
大きさ xvii, 347 p. : ill. ; 24 cm
概要 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 disc...ssing 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 ù 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. 続きを見る

所蔵情報



理系図3F 数理独自 DRYD/10/1 c1998
023211998007012

書誌詳細

一般注記 Includes bibliographical references (p. [321]-336) and index
著者標目 *Dryden, I. L.
Mardia, K. V.
件 名 LCSH:Shape theory (Topology) -- Statistical methods  全ての件名で検索
分 類 NDC9:415
LCC:QA612.7
DC21:514/.24
書誌ID 1001391885
ISBN 0471958166
NCID BA37129143
巻冊次 ISBN:0471958166
登録日 2009.11.02
更新日 2009.11.02

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