| dc.contributor.author | Bayram, Ergin | |
| dc.contributor.author | Guler, Fatma | |
| dc.contributor.author | Kasap, Emin | |
| dc.date.accessioned | 2020-06-21T14:18:51Z | |
| dc.date.available | 2020-06-21T14:18:51Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0010-4485 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cad.2012.02.007 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/16475 | |
| dc.description | WOS: 000304838700005 | en_US |
| dc.description.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. (C) 2012 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | TUBITAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) | en_US |
| dc.description.sponsorship | The authors appreciate the comments and valuable suggestions of the editor and the reviewers. Their advice helped to improve the clarity and presentation of this paper. The first author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial support during his doctorate studies. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Elsevier Sci Ltd | en_US |
| dc.relation.isversionof | 10.1016/j.cad.2012.02.007 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Surface pencil | en_US |
| dc.subject | Asymptotic curve | en_US |
| dc.subject | Frenet frame | en_US |
| dc.title | Parametric representation of a surface pencil with a common asymptotic curve | en_US |
| dc.type | article | en_US |
| dc.contributor.department | OMÜ | en_US |
| dc.identifier.volume | 44 | en_US |
| dc.identifier.issue | 7 | en_US |
| dc.identifier.startpage | 637 | en_US |
| dc.identifier.endpage | 643 | en_US |
| dc.relation.journal | Computer-Aided Design | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
