Modeling and Simulation in Science, Engineering and Technology

Statistics and Analysis of Shapes

Editors: Krim, Hamid, Yezzi, Anthony (Eds.)

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Hardcover $109.00
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About this Textbook

The subject of pattern analysis and recognition pervades many aspects of our daily lives, including user authentication in banking, object retrieval from databases in the consumer sector, and the omnipresent surveillance and security measures around sensitive areas. Shape analysis, a fundamental building block in many approaches to these applications, is also used in statistics, biomedical applications (Magnetic Resonance Imaging), and many other related disciplines.

 

With contributions from some of the leading experts and pioneers in the field, this self-contained, unified volume is the first comprehensive treatment of theory, methods, and algorithms, available in a single resource, without the typical quagmire of vast information scattered over a wide body of literature. Developments are discussed from a rapidly increasing number of research papers in diverse fields, including the mathematical and physical sciences, engineering, and medicine.

 

The initial chapters explore the statistical modeling of landmarks while subsequent chapters address the probabilistic modeling of entire shapes. The latter part of the book, with the exception of the last two chapters, concentrates on case studies as well as implementational and practical challenges in real systems. Extensive illustrations throughout help readers overcome the sometimes terse technical details of the geometric and probabilistic formalism. Knowledge of advanced calculus and basic statistics and probability theory are the only prerequisites for the reader.

 

Statistics and Analysis of Shapes will be an essential learning kit for statistical researchers, engineers, scientists, medical researchers, and students seeking a rapid introduction to the field. It may be used as a textbook for a graduate-level special topics course in statistics and signal/image analysis, or for an intensive short course on shape analysis and modeling. The state-of-the-art techniques presented will also be useful for experienced researchers and practitioners in academia and industry.

Reviews

From the reviews:

"This edited volume is a state-of-the-art collection of papers in digital image processing and analysis. … The book is intellectually stimulating and written for researchers in electrical engineering, computer science, computational statistics, or applied mathematics. It will be useful for presentations in research seminars or in journal clubs in these areas." (Victor Patrangenaru, Journal of the American Statistical Association, Vol. 103 (484), December, 2008)


Table of contents (15 chapters)

  • Medial Axis Computation and Evolution

    Bouix, Sylvain (et al.)

    Pages 1-28

  • Shape Variation of Medial Axis Representations via Principal Geodesic Analysis on Symmetric Spaces

    Fletcher, P. Thomas (et al.)

    Pages 29-59

  • 2D Shape Modeling using Skeletal Graphs in a Morse Theoretic Framework

    Baloch, Sajjad Hussain (et al.)

    Pages 61-80

  • Matching with Shape Contexts

    Belongie, Serge (et al.)

    Pages 81-105

  • Shape Recognition Based on an a Contrario Methodology

    Musé, Pablo (et al.)

    Pages 107-136

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-0-8176-4481-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-8176-4376-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Statistics and Analysis of Shapes
Editors
  • Hamid Krim
  • Anthony Yezzi
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4481-9
DOI
10.1007/0-8176-4481-4
Hardcover ISBN
978-0-8176-4376-8
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XII, 396
Number of Illustrations and Tables
143 b/w illustrations
Topics