SpringerBriefs in Statistics

Permutation Tests in Shape Analysis

Authors: Salmaso, Luigi, Brombin, Chiara

  • Provides a complete background on shape analysis and its various applications in the sciences
  • Introduces new tests in parametric and non-parametric statistics to teh field of shape analysis
  • Provides some applied case studies in shape analysis examples at the end of the book from the area of medicine
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  • ISBN 978-1-4614-8163-8
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  • ISBN 978-1-4614-8162-1
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About this book

Statistical shape analysis is a geometrical analysis from a set of shapes in which statistics are measured to describe geometrical properties from similar shapes or different groups, for instance, the difference between male and female Gorilla skull shapes, normal and pathological bone shapes, etc. Some of the important aspects of shape analysis are to obtain a measure of distance between shapes, to estimate average shapes from a (possibly random) sample and to estimate shape variability in a sample[1]. One of the main methods used is principal component analysis. Specific applications of shape analysis may be found in archaeology, architecture, biology, geography, geology, agriculture, genetics, medical imaging, security applications such as face recognition, entertainment industry (movies, games), computer-aided design and manufacturing. This is a proposal for a new Brief on statistical shape analysis and the various new parametric and non-parametric methods utilized to facilitate shape analysis. ​ ​

About the authors

Luigi Salmaso,Ph.D. Professor of Statistics Department of Management and Engineering University of Padova Padova, Italy Chiara Brombin, Ph.D. CUSSB, Vita-Salute University of San Raffaele Milan, Italy

Reviews

From the reviews:

“This book puts forward an extension of nonparametric combination methodology for the field of shape analysis. … Novices are gently introduced into statistical shape analysis and geometric morphometrics, researchers are presented a new approach to the field and practitioners are demonstrated the usefulness of the technique on an application to facial expressions of emotions and another concerning aortic valve morphology.” (Ruxandra Stoean, zbMATH, Vol. 1281, 2014)


Table of contents (6 chapters)

  • A Brief Overview on Statistical Shape Analysis

    Brombin, Chiara (et al.)

    Pages 1-16

  • Theoretical Aspects on Permutation Tests and Shape Analysis

    Brombin, Chiara (et al.)

    Pages 17-36

  • Evaluating Power Behavior of Nonparametric Combination Testing Methodology After Generalized Procrustes Analysis and Under Different Correlation Structures

    Brombin, Chiara (et al.)

    Pages 37-52

  • Power Behavior of Permutation Tests with High Dimensional Data

    Brombin, Chiara (et al.)

    Pages 53-60

  • Finite-Sample Consistency of Combination-Based Tests in Shape Analysis

    Brombin, Chiara (et al.)

    Pages 61-75

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-1-4614-8163-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.99
price for USA
  • ISBN 978-1-4614-8162-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Permutation Tests in Shape Analysis
Authors
Series Title
SpringerBriefs in Statistics
Series Volume
15
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-8163-8
DOI
10.1007/978-1-4614-8163-8
Softcover ISBN
978-1-4614-8162-1
Series ISSN
2191-544X
Edition Number
1
Number of Pages
X, 95
Number of Illustrations and Tables
3 b/w illustrations, 16 illustrations in colour
Topics