Interpolation of Surfaces with Line of Curvature

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BAYRAM E.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.14, sa.2, ss.239-246, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.36890/iejg.890585
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.239-246
  • Anahtar Kelimeler: C-0-Hermite interpolation, line of curvature, parametric surface, PARAMETRIC REPRESENTATION, PENCIL
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.