On the Design and Invariants of a Ruled Surface

2017/05/30 by Ferhat Taş, Taş, Ferhat
Engineering · Mathematics · #3D Shape Modeling and Analysis #53A17 #53A25 #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #Geometric Analysis and Curvature Flows #Graphics (cs.GR)

paper · doi:10.48550/arxiv.1706.00267

openalex publication_date 2017/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Bézier-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 Bézier-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.

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