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Generating and Flattening of Developable Surfaces
Generating and Flattening of Developable Surfaces
- 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.
- Subjects :
- Developable surface
Geometry
Flattening
Mathematics
Subjects
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