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Generating and Flattening of Developable Surfaces

Generating and Flattening of Developable Surfaces

Authors :
Sooithor Tan
Kai-Keung Chan
M. C. Gan
Source :
20th Design Automation Conference: Volume 1 — Dynamic Mechanical Systems; Geometric Modeling and Features; Concurrent Engineering.
Publication Year :
1994
Publisher :
American Society of Mechanical Engineers, 1994.

Abstract

In this paper, methods for generating and flattening developable surfaces by means of two given directrix curves have been investigated. By finding the two end points of every generatrix, a developable surface may be formed. Such a developable surface may be flattened by rotating part of the surface about a generatrix. A new approach based on the principle of geodesic curve length preservation for flattening developable surfaces is also introduced. In this technique, an algorithm for evaluating the geodesic curvature of a point of a curve that lies on a surface is utilized.

Details

Database :
OpenAIRE
Journal :
20th Design Automation Conference: Volume 1 — Dynamic Mechanical Systems; Geometric Modeling and Features; Concurrent Engineering
Accession number :
edsair.doi...........bd73d9af8fb962a65577d4b9a41d935e
Full Text :
https://doi.org/10.1115/detc1994-0078