Distinctive features of computer modeling of topological surfaces

Victor N. Tolstykh; Irina V. Tolstykh; Igor Shturtz

doi:10.1117/12.375431

25 January 2000 Distinctive features of computer modeling of topological surfaces

Victor N. Tolstykh, Irina V. Tolstykh, Igor Shturtz

Proceedings Volume 4064, Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2000) https://doi.org/10.1117/12.375431
Event: Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1999, St. Petersburg, Russian Federation

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.

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Victor N. Tolstykh, Irina V. Tolstykh, and Igor Shturtz "Distinctive features of computer modeling of topological surfaces", Proc. SPIE 4064, Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (25 January 2000); https://doi.org/10.1117/12.375431

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KEYWORDS

3D modeling

Visualization

Optical spheres

Visual process modeling

Computer simulations

Algorithm development

Cognitive modeling

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