On geometry of isophote curves in Galilean space

On geometry of isophote curves in Galilean space

In this paper, we introduce isophote curves on surfaces in Galilean 3-space. Apart from the general concept of isophotes, we split our studies into two cases to get the axis d of isophote curves lying on a surface such that d is an isotropic or a non-isotropic vector. We also give a method to comput...

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Bibliographic Details
Published in:AIMS mathematics Vol. 6; no. 1; pp. 66 - 76
Main Authors: Yüzbașı, Zuhal Küçükarslan, Won Yoon, Dae
Format: Journal Article
Language:English
Published: AIMS Press 01-01-2021
Subjects:
galilean space
isophote curve
surfaces of revolution
Online Access:Get full text
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Summary:In this paper, we introduce isophote curves on surfaces in Galilean 3-space. Apart from the general concept of isophotes, we split our studies into two cases to get the axis d of isophote curves lying on a surface such that d is an isotropic or a non-isotropic vector. We also give a method to compute isophote curves of surfaces of revolution. Subsequently, we show the relationship between isophote curves and slant (general) helices on surfaces of revolution obtained by revolving a curve by Euclidean rotations. Finally, we give some characterizations for isophote curves lying on surfaces of revolution.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021005