Interpolation of Surfaces with Line of Curvature

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BAYRAM E.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.14, no.2, pp.239-246, 2021 (ESCI) identifier identifier

  • 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
  • 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.