Interpolation of Surfaces with Line of Curvature
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.14, sa.2, ss.239-246, 2021 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 2
- Basım Tarihi: 2021
- Doi Numarası: 10.36890/iejg.890585
- Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.239-246
- Anahtar Kelimeler: C-0-Hermite interpolation, line of curvature, parametric surface, PARAMETRIC REPRESENTATION, PENCIL
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
We introduce a method to construct parametric surfaces interpolating given finite points and a curve as a line of curvature in 3-dimensional Euclidean space. We present an existence theorem of a C degrees-Hermite interpolation of surfaces possessing the given data. We show that every parameter curve of a constructed surface is a circular helix if the given curve is a circular helix. The method is validated with illustrative examples.