On isophote curves and their characterizations

Dogan F., YAYLI Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.39, sa.5, ss.650-664, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3906/mat-1410-4
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.650-664
  • Anahtar Kelimeler: Isophote curve, silhouette curve, geodesic, general helix, slant helix, canal surface, CANAL SURFACE
  • Ankara Üniversitesi Adresli: Evet

Özet

An isophote curve comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. The main objective of this paper is to find the axis of an isophote curve via its Darboux frame and afterwards to give some characterizations about the isophote curve and its axis in Euclidean 3-space. Particularly, for isophote curves lying on a canal surface other characterizations are obtained.