An approach for designing a surface pencil through a given geodesic curve
Citation
ATALAY G. Ş,GÜLER F (2021). An approach for designing a surface pencil through a given geodesic curve. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70(1), 555 - 568. Doi: 10.31801/cfsuasmas.798620.Abstract
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