<図書>
Statistical shape analysis
責任表示 | I.L. Dryden and K.V. Mardia |
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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
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | DRYD/10/1 | c1998 |
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023211998007012 |
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書誌詳細
一般注記 | Includes bibliographical references (p. [321]-336) and index |
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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 |