Medial Representations

Mathematics, Algorithms and Applications

  • Kaleem Siddiqi
  • Stephen M. Pizer

Part of the Computational Imaging and Vision book series (CIVI, volume 37)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Mathematics

    1. Stephen Pizer, Kaleem Siddiqi, Paul Yushkevich
      Pages 1-34
    2. Peter J. Giblin, Benjamin B. Kimia
      Pages 37-68
    3. James Damon
      Pages 69-123
  3. Algorithms

    1. Kaleem Siddiqi, Sylvain Bouix, Jayant Shah
      Pages 127-154
    2. Gunilla Borgefors, Ingela Nyström, Gabriella Sanniti di Baja
      Pages 155-190
    3. Gábor Székely
      Pages 191-221
    4. Nina Amenta, Sunghee Choi
      Pages 223-239
    5. Stephen Pizer, Qiong Han, Sarang Joshi, P. Thomas Fletcher, Paul A. Yushkevich, Andrew Thall
      Pages 241-266
  4. Applications

    1. Stephen Pizer, Martin Styner, Timothy Terriberry, Robert Broadhurst, Sarang Joshi, Edward Chaney et al.
      Pages 269-308
    2. Kaleem Siddiqi, Juan Zhang, Diego Macrini, Sven Dickinson, Ali Shokoufandeh
      Pages 309-326
    3. Frederic F. Leymarie, Benjamin B. Kimia
      Pages 327-351
  5. Back Matter
    Pages 353-439

About this book


The last half century has seen the development of many biological or physical theories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world. Simultaneously mathematicians have studied the properties of these skeletal descriptions of shape, and, stimulated by the many areas where medial models are useful, computer scientists and engineers have developed numerous algorithms for computing and using these models. We bring this knowledge and experience together into this book in order to make medial technology more widely understood and used.

Edited by Prof. K. Siddiqi and Prof. S. Pizer, renowned experts in the field and authors of five of the chapters, this book consists of an introductory chapter, two chapters on the major mathematical results on medial representations, five chapters on algorithms for extracting medial models from boundary or binary image descriptions of objects, and three chapters on applications in image analysis and other areas of study and design. These chapters have been integrated and combined with a mathematics notation appendix and a detailed glossary, bibliography and index. This book will serve the science and engineering communities using medial models and will provide learning material for students entering this field.


3D Area Computer Vision Moment algorithms complexity image analysis learning medial algorithms medial applications medial representations model object geometry skeletons statistics

Editors and affiliations

  • Kaleem Siddiqi
    • 1
  • Stephen M. Pizer
    • 2
  1. 1.School of Computer ScienceMcGill UniversityMontrealCanada
  2. 2.Department of Computer ScienceUniversity of North CarolinaChapel HillUSA

Bibliographic information