On Relatively Normal-Slant Helices and Isophotic Curves

TL;DR

This paper characterizes relatively normal-slant helices and isophotic curves on smooth surfaces in 3D space, and introduces methods to generate isophotic curves using parametric or implicit equations.

Contribution

It provides new characterizations of these curves and introduces techniques for generating isophotic curves on surfaces.

Findings

Characterizations of relatively normal-slant helices and isophotic curves.

Methods for generating isophotic curves from surface equations.

Abstract

In this paper, we give smoe characterizations of relatively normal-slant helices and isophotic curves on a smooth surface immersed in Euclidean 3-space with respect to their position vevtor. We also introduce the methods for generating an isophotic curve on a given surface by its parametric or implicit equation.