INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.14, no.2, pp.239-246, 2021 (ESCI)
Article / Article
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
C-0-Hermite interpolation, line of curvature, parametric surface, PARAMETRIC REPRESENTATION, PENCIL
Ondokuz Mayıs University Affiliated:
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.