On the Design and Invariants of a Ruled Surface
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2025-12-23 v1
Abstract
This paper deals with a kind of design of a ruled surface. It combines concepts from the fields of computer aided geometric design and kinematics. A dual unit spherical B\'ezier-like curve on the dual unit sphere (DUS) is obtained with respect the control points by a new method. So, with the aid of Study [1] transference principle, a dual unit spherical B\'ezier-like curve corresponds to a ruled surface. Furthermore, closed ruled surfaces are determined via control points and integral invariants of these surfaces are investigated. The results are illustrated by examples.
Keywords
Cite
@article{arxiv.1706.00267,
title = {On the Design and Invariants of a Ruled Surface},
author = {Ferhat Taş},
journal= {arXiv preprint arXiv:1706.00267},
year = {2025}
}
Comments
27 pages, 4 figures, 1 figure list