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Turkish Journal of Mathematics

DOI

10.3906/mat-1410-4

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

First Page

650

Last Page

664

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