Springer Series in Statistics

Functional and Shape Data Analysis

Authors: Srivastava, Anuj, Klassen, Eric P

  • Presents a complete and detailed exposition on statistical analysis of shapes that includes appendices, background material, and exercises, making this text a self-contained reference
  • Addresses and explores the next generation of shape analysis
  • Focuses on providing a working knowledge of a broad range of relevant material, foregoing in-depth technical details and elaborate mathematical explanations
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eBook 67,82 €
price for Spain (gross)
  • ISBN 978-1-4939-4020-2
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  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-1-4939-4018-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference. It is aimed at graduate students in analysis in statistics, engineering, applied mathematics, neuroscience, biology, bioinformatics, and other related areas. The interdisciplinary nature of the broad range of ideas covered—from introductory theory to algorithmic implementations and some statistical case studies—is meant to familiarize graduate students with an array of tools that are relevant in developing computational solutions for shape and related analyses. These tools, gleaned from geometry, algebra, statistics, and computational science, are traditionally scattered across different courses, departments, and disciplines; Functional and Shape Data Analysis offers a unified, comprehensive solution by integrating the registration problem into shape analysis, better preparing graduate students for handling future scientific challenges.

Recently, a data-driven and application-oriented focus on shape analysis has been trending. This text offers a self-contained treatment of this new generation of methods in shape analysis of curves. Its main focus is shape analysis of functions and curves—in one, two, and higher dimensions—both closed and open. It develops elegant Riemannian frameworks that provide both quantification of shape differences and registration of curves at the same time. Additionally, these methods are used for statistically summarizing given curve data, performing dimension reduction, and modeling observed variability. It is recommended that the reader have a background in calculus, linear algebra, numerical analysis, and computation.

About the authors

Anuj Srivastava is a Professor in the Department of Statistics and a Distinguished Research Professor at Florida State University. His areas of interest include statistical analysis on nonlinear manifolds, statistical computer vision, functional data analysis, and statistical shape theory. He has been the associate editor for the Journal of Statistical Planning and Inference, and several IEEE journals. He is a fellow of the International Association of Pattern Recognition (IAPR) and a senior member of the Institute for Electrical and Electronic Engineers (IEEE).
Eric Klassen is a Professor in the Department of Mathematics at Florida State University. His mathematical interests include topology, geometry, and shape analysis. In his spare time, he enjoys playing the piano, riding his bike, and contra dancing.

Table of contents (11 chapters)

  • Motivation for Function and Shape Analysis

    Srivastava, Anuj (et al.)

    Pages 1-19

    Preview Buy Chapter 30,19 €
  • Previous Techniques in Shape Analysis

    Srivastava, Anuj (et al.)

    Pages 21-37

    Preview Buy Chapter 30,19 €
  • Background: Relevant Tools from Geometry

    Srivastava, Anuj (et al.)

    Pages 39-72

    Preview Buy Chapter 30,19 €
  • Functional Data and Elastic Registration

    Srivastava, Anuj (et al.)

    Pages 73-123

    Preview Buy Chapter 30,19 €
  • Shapes of Planar Curves

    Srivastava, Anuj (et al.)

    Pages 125-165

    Preview Buy Chapter 30,19 €

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-1-4939-4020-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-1-4939-4018-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Functional and Shape Data Analysis
Authors
Series Title
Springer Series in Statistics
Copyright
2016
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4939-4020-2
DOI
10.1007/978-1-4939-4020-2
Hardcover ISBN
978-1-4939-4018-9
Series ISSN
0172-7397
Edition Number
1
Number of Pages
XVIII, 447
Number of Illustrations and Tables
65 b/w illustrations, 182 illustrations in colour
Topics