Medial representations mathematics, algorithms and applications /
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...
| Other Authors: | Siddiqi, Kaleem., Pizer, Stephen M., SpringerLink (Online Service) |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
[Dordrecht] :
Springer,
©2008.
|
| Physical Description: |
1 online resource (xvii, 439 pages) : illustrations (some color) |
| Series: |
Computational imaging and vision ;
37. |
| Subjects: |
| Summary: |
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. |
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| Item Description: |
Includes bibliographical references and index. 1. Introduction -- Part I Mathematics. 2. Local Forms and Transitions of the Medial Axis. 3. Geometry and Medial Structure -- Part II Algorithms. 4. Skeletons Via Shocks of Boundary Evolution. 5. Discrete Skeletons from Distance Transforms in 2D and 3D. 6. Voronoi Skeletons. 7. Voronoi Methods for 3D Medial Axis Approximation. 8. Synthesis, Deformation, and Statistics of 3D Objects via M-reps -- Part III Applications. 9. Statistical Applications with Deformable M-Reps. 10. 3D Model Retrieval Using Medial Surfaces. 11. From The Infinitely Large to the Infinitely Small -- A Notation -- Glossary -- References. 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. University staff and students only. Requires University Computer Account login off-campus. |
| Physical Description: |
1 online resource (xvii, 439 pages) : illustrations (some color) |
| Bibliography: |
Includes bibliographical references and index. |
| ISBN: |
9781402086588 140208658X 1402086571 9781402086571 |
| Access: |
University staff and students only. Requires University Computer Account login off-campus. |