Spherical indicatrices with the modified orthogonal frame
Mohamd Saleem Lone, Murat Kemal Karacan, Yilmaz Tuncer, Hasan Es
TL;DR
This paper investigates the properties of spherical images derived from modified orthogonal vector fields and Darboux vectors of curves on the unit sphere in three-dimensional Euclidean space.
Contribution
It introduces a new analysis of spherical indicatrices using the modified orthogonal frame for regular curves on the sphere.
Findings
Characterization of spherical images of modified orthogonal vector fields
Relationships between Darboux vectors and spherical indicatrices
New geometric insights into curves on the unit sphere
Abstract
In this paper, we study spherical images of the modified orthogonal vector fields and Darboux vector of a regular curve which lies on the unit sphere in Euclidean 3-space.
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Taxonomy
TopicsInfrared Target Detection Methodologies · Advanced Vision and Imaging · Image and Object Detection Techniques