On isophote curve and its characterizations

Abstract

Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. 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 isophote and its axis. Particularly, for isophotes lying on a canal surface will be obtained other characterizations again.

15 pages

Cited by in corpus (4)

• On Geometry of Isophote Curves in Galilean space
• On Relatively Normal-Slant Helices and Isophotic Curves
• On characteristic curves of developable surfaces in Euclidean 3-space
• Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31