Interpolation of Surfaces with Line of Curvature

Autor:	Ergin Bayram
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Matematik Parametric surface Applied Mathematics $C^{0}$-Hermite interpolation line of curvature parametric surface Geometry Geometry and Topology Line (text file) Curvature Mathematical Physics Mathematics Interpolation
Zdroj:	Volume: 14, Issue: 2 239-246 International Electronic Journal of Geometry
ISSN:	1307-5624
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::872b780387ac4c1f082d4db4c0e0940f https://dergipark.org.tr/tr/pub/iejg/issue/65263/890585 Zobrazit plný text záznamu