Abstract
The paper presents a new result on dynamical properties of the skeleton (medial axis) of a 2D/3D shape and a Java program for visualization, description, and study of dynamic 2D shapes via curvature. The program was developed by the first author and was used by the second author as an education tool for a number of courses (Applied Differential Geometry, Computational Geometry, Mathematical Methods in Computer Graphics) taught at the University of Aizu. The paper consists of two main sections. A rough description of the program and demonstration of its basic visualization capabilities is provided in the first section. The second section presents a new mathematical result describing dynamical properties of the skeleton (medial axis) of a 2D/3D bounded figure. The 2D version of the result was discovered during authors' experiments with the program.
| Original language | English |
|---|---|
| Title of host publication | Multimedia Modeling |
| Subtitle of host publication | Modeling Multimedia Information and Systems |
| Editors | Shuji Hashimoto |
| Publisher | World Scientific Publishing |
| Pages | 469-489 |
| Number of pages | 21 |
| ISBN (Electronic) | 9789810244897 |
| DOIs | |
| Publication status | Published - Oct 2000 |
| Event | 7th International Conference on Multimedia Modeling 2000 - Nagano, Japan Duration: 13 Nov 2000 → 15 Nov 2000 |
Conference
| Conference | 7th International Conference on Multimedia Modeling 2000 |
|---|---|
| Abbreviated title | MMM 2000 |
| Country/Territory | Japan |
| City | Nagano |
| Period | 13/11/00 → 15/11/00 |
Keywords
- Curvature descriptors
- Dynamic curves
- Skeleton
- Visualization
ASJC Scopus subject areas
- Modelling and Simulation
- Computer Graphics and Computer-Aided Design
- Software