| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 440257 | Computer-Aided Design | 2012 | 7 Pages |
Abstract
In this paper, we study the problem of finding a surface pencil from a given spatial asymptotic curve. We obtain the parametric representation for a surface pencil whose members have the same curve as a given asymptotic curve. Using the Frenet frame of the given asymptotic curve, we present the surface as a linear combination of this frame and analyse the necessary and sufficient condition for that curve to be asymptotic. We illustrate this method by presenting some examples.
► Surface family accepting a given curve as an asymptotic is expressed parametrically. ► Conditions on marching-scale functions are given for a surface to be a member of the family. ► The method is illustrated by examples.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Ergin Bayram, Fatma Güler, Emin Kasap,