Share Email Print
cover

Proceedings Paper

Distinctive features of computer modeling of topological surfaces
Author(s): Victor N. Tolstykh; Irina V. Tolstykh; Igor Shturtz
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

The problem of building 3D models of various types of topological surfaces aimed at their visualization is considered. Up-to-date 3D graphics language (Open GL, VRML, Java3D, etc.) allow users to represent any spatial surface as a polygon mesh approximating the surface. A general approach to generating the mesh is described, where coordinate values of the polygon vertices are calculated with a regular algorithm. Most topological surfaces have peculiar points where a special algorithm has to be applied. The following problems are discussed in the paper: what types of the peculiar points exist; how many of them are on surfaces of various type; how to reduce their number and how to change the regular algorithm in their neighborhood. The paper is illustrated with screen images of typical models such as sphere, torus, hyperboloids, Klein's bottle, etc.

Paper Details

Date Published: 25 January 2000
PDF: 5 pages
Proc. SPIE 4064, Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (25 January 2000); doi: 10.1117/12.375431
Show Author Affiliations
Victor N. Tolstykh, St. Petersburg State Technical Univ. (United States)
Irina V. Tolstykh, St. Petersburg State Technical Univ. (United States)
Igor Shturtz, St. Petersburg State Technical Univ. (Russia)


Published in SPIE Proceedings Vol. 4064:
Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering
Alexander I. Melker, Editor(s)

© SPIE. Terms of Use
Back to Top