© 2006

Statistics and Analysis of Shapes

  • Hamid Krim
  • Anthony YezziJr.

Table of contents

  1. Front Matter
    Pages i-xi
  2. Sylvain Bouix, Kaleem Siddiqi, Allen Tannenbaum, Steven W. Zucker
    Pages 1-28
  3. P. Thomas Fletcher, Stephen M. Pizer, Sarang C. Joshi
    Pages 29-59
  4. Sajjad Hussain Baloch, Hamid Krim
    Pages 61-80
  5. Serge Belongie, Greg Mori, Jitendra Malik
    Pages 81-105
  6. Pablo Musé, Frédéric Sur, Frédéric Cao, Yann Gousseau, Jean-Michel Morel
    Pages 107-136
  7. Siddharth Manay, Daniel Cremers, Byung-Woo Hong, Anthony Yezzi Jr., Stefano Soatto
    Pages 137-166
  8. N. Paragios, M. Taron, X. Huang, M. Rousson, D. Metaxas
    Pages 167-199
  9. Facundo Mémoli, Guillermo Sapiro
    Pages 201-229
  10. Gregory Arnold, Peter F. Stiller, Kirk Sturtz
    Pages 253-279
  11. Xavier Descombes, Eugène Pechersky
    Pages 281-301
  12. Sigurd Angenent, Allen Tannenbaum, Anthony Yezzi Jr., Ofer Zeitouni
    Pages 303-311
  13. Shantanu Joshi, David Kaziska, Anuj Srivastava, Washington Mio
    Pages 313-333
  14. Joan Glaunès, Alain Trouvé, Laurent Younes
    Pages 335-361
  15. Guillaume Charpiat, Olivier Faugeras, Renaud Keriven, Pierre Maurel
    Pages 363-395

About this book


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.


Computerassistierte Detektion Graph Master Patient Index Probability theory algorithm algorithms calculus cognition databases image analysis image processing learning linear optimization modeling statistics

Editors and affiliations

  • Hamid Krim
    • 1
  • Anthony YezziJr.
    • 2
  1. 1.Department of Electrical and Computer EngineeringNorth Carolina State UniversityRaleighUSA
  2. 2.School of Electrical and Computer EngineeringGeorgia Institute of TechnologyAtlantaUSA

Bibliographic information

Industry Sectors
Finance, Business & Banking


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)