Overview
- Editors:
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Kaleem Siddiqi
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School of Computer Science, McGill University, Montreal, Canada
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Stephen M. Pizer
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Department of Computer Science, University of North Carolina, Chapel Hill, USA
- The only consolidated account on medial representations to date
- Tutorial in nature and written for a general audience
- Includes mathematical notation appendices, a glossary of terms and a detailed index
- All of the chapters are written by world leaders in the theory and use of medial representations
- Organized into 3 logical parts: mathematics, algorithms and applications
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Table of contents (11 chapters)
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Front Matter
Pages i-xvii
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Mathematics
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- Stephen Pizer, Kaleem Siddiqi, Paul Yushkevich
Pages 1-34
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- Peter J. Giblin, Benjamin B. Kimia
Pages 37-68
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Algorithms
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- Kaleem Siddiqi, Sylvain Bouix, Jayant Shah
Pages 127-154
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- Gunilla Borgefors, Ingela Nyström, Gabriella Sanniti di Baja
Pages 155-190
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- Nina Amenta, Sunghee Choi
Pages 223-239
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- Stephen Pizer, Qiong Han, Sarang Joshi, P. Thomas Fletcher, Paul A. Yushkevich, Andrew Thall
Pages 241-266
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Applications
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- Stephen Pizer, Martin Styner, Timothy Terriberry, Robert Broadhurst, Sarang Joshi, Edward Chaney et al.
Pages 269-308
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- Kaleem Siddiqi, Juan Zhang, Diego Macrini, Sven Dickinson, Ali Shokoufandeh
Pages 309-326
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- Frederic F. Leymarie, Benjamin B. Kimia
Pages 327-351
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Back Matter
Pages 353-439
About this book
The last half century has seen the development of many biological or physical t- ories 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 kno- edge and experience together into this book in order to make medial technology more widely understood and used. The book consists of an introductory chapter, two chapters on the major mat- matical results on medial representations, ?ve 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. We hope that this book will serve the science and engineering communities using medial models and will provide learning material for students entering this ?eld. We are fortunate to have recruited many of the world leaders in medial theory, algorithms, and applications to write chapters in this book. We thank them for their signi?cant effort in preparing their contributions. We have edited these chapters and have combined them with the ?ve chapters that we have written to produce an integrated whole.
Editors and Affiliations
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School of Computer Science, McGill University, Montreal, Canada
Kaleem Siddiqi
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Department of Computer Science, University of North Carolina, Chapel Hill, USA
Stephen M. Pizer
