Medial Representations Mathematics, Algorithms and Applications /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Siddiqi, Kaleem (Editor), Pizer, Stephen M. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2008.
• Series: Computational Imaging and Vision, 37
• Subjects: Mathematics.; Artificial intelligence.; Image processing.; Algorithms.; Computer mathematics.; Geometry.; Image Processing and Computer Vision.; Artificial Intelligence (incl. Robotics).; Computational Science and Engineering.

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...

Table of Contents:

• Mathematics
• Local Forms and Transitions of the Medial Axis
• Geometry and Medial Structure
• Algorithms
• Skeletons via Shocks of Boundary Evolution
• Discrete Skeletons from Distance Transforms in 2D and 3D
• Voronoi Skeletons
• Voronoi Methods for 3D Medial Axis Approximation
• Synthesis, Deformation, and Statistics of 3D Objects via M-Reps
• Applications
• Statistical Applications with Deformable M-Reps
• 3D Model Retrieval Using Medial Surfaces
• From the Infinitely Large to the Infinitely Small.