An approach for designing a surface pencil through a given geodesic curve
Differential Geometry
2015-03-19 v2
Abstract
Surfaces and curves play an important role in geometric design. In recent years, problem of finding a surface passing through a given curve have attracted much interest. In the present paper, we propose a new method to construct a surface interpolating a given curve as the geodesic curve of it. Also, we analyze the conditions when the resulting surface is a ruled surface. In addition, developablity along the common geodesic of the members of surface family are discussed. Finally, we illustrate this method by presenting some examples.
Cite
@article{arxiv.1406.0618,
title = {An approach for designing a surface pencil through a given geodesic curve},
author = {Gulnur Saffak Atalay and Fatma Guler and Ergin Bayram and Emin Kasap},
journal= {arXiv preprint arXiv:1406.0618},
year = {2015}
}
Comments
13 pages, 5 figures