On the Design and Invariants of a Ruled Surface
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866917160841904128 |
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| author | Taş, Ferhat |
| author_facet | Taş, Ferhat |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_00267 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | On the Design and Invariants of a Ruled Surface Taş, Ferhat Graphics 53A17, 53A25 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. |
| title | On the Design and Invariants of a Ruled Surface |
| topic | Graphics 53A17, 53A25 |
| url | https://arxiv.org/abs/1706.00267 |