The relation between parameter curves and lines of curvature on canal surfaces

Dogan F., YAYLI Y.

KUWAIT JOURNAL OF SCIENCE, cilt.44, sa.1, ss.29-35, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 1
  • Basım Tarihi: 2017
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.29-35
  • Anahtar Kelimeler: Canal surface, generalized tube, line of curvature, parameter curve, spine curve
  • Ankara Üniversitesi Adresli: Evet

Özet

A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) (spine curve) of its center and a radius function r(t). In this paper, we investigate the parameter curves which are also lines of curvature on the canal surface. Last of all, for special spine curves we obtain the radius functions of canal surfaces.