Interpolation of Surfaces with Line of Curvature

Authors : Ergin BAYRAM

Pages : 239-246

Doi:10.36890/iejg.890585

View : 8 | Download : 6

Publication Date : 2021-10-29

Article Type : Research Paper

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 $C^{0}$-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.
Keywords : C^ 0 Hermite interpolation, line of curvature, parametric surface