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: |
Table of Contents:
- 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.