AN APPROACH FOR DESIGNING A SURFACE PENCIL THROUGH A GIVEN GEODESIC CURVE
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.70, sa.1, ss.555-568, 2021 (ESCI, TRDizin)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.