Offset surface pencil with a common asymptotic curve

Güler F., BAYRAM E., Kasap E.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.15, no.11, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 11
  • Publication Date: 2018
  • Doi Number: 10.1142/s0219887818501955
  • Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Offset surface, parametric surface, asymptotic curve, Frenet frame, PARAMETRIC REPRESENTATION, CURVATURE, LINE
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Let r(s) be a parameter and an asymptotic curve on a surface P(s, t). We obtain conditions for offsets (P) over bar (s, t) of P(s, t) such that the image beta(s) of the curve r(s) is a common asymptotic on each offset. We illustrate the method with an example.