AN APPROACH FOR DESIGNING A SURFACE PENCIL THROUGH A GIVEN GEODESIC CURVE

Şaffak Atalay, Gülnur; Güler, Fatma; BAYRAM, Ergin; Kasap, Emin

doi:10.31801/cfsuasmas.798620

AN APPROACH FOR DESIGNING A SURFACE PENCIL THROUGH A GIVEN GEODESIC CURVE

Şaffak Atalay G., Güler F., BAYRAM E., Kasap E.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.70, sa.1, ss.555-568, 2021 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 70 Sayı: 1
Basım Tarihi: 2021
Doi Numarası: 10.31801/cfsuasmas.798620
Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.555-568
Anahtar Kelimeler: Geodesic curve, parametric surface, rotation minimizing frame, PARAMETRIC REPRESENTATION, FRAME, DEFORMATIONS, LINE
Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.