On isophote curves and their characterizations

Authors: FATİH DOĞAN, YUSUF YAYLI

Abstract: 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.

Keywords: Isophote curve, silhouette curve, geodesic, general helix, slant helix, canal surface

Full Text: PDF