Interpolation of Surfaces with Line of Curvature
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.14, no.2, pp.239-246, 2021 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 14 Issue: 2
- Publication Date: 2021
- Doi Number: 10.36890/iejg.890585
- Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.239-246
- Keywords: C-0-Hermite interpolation, line of curvature, parametric surface, PARAMETRIC REPRESENTATION, PENCIL
- Open Archive Collection: AVESIS Open Access Collection
- Ondokuz Mayıs University Affiliated: Yes
Abstract
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.