Details

Autor(en) / Beteiligte

• Li, Cai-Yun
• Wang, Ren-Hong
• Zhu, Chun-Gang

Titel

An approach for designing a developable surface through a given line of curvature

Ist Teil von

• Computer aided design, 2013-03, Vol.45 (3), p.621-627

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2013

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Developable surface and line of curvature play an important role in geometric design and surface analysis. This paper proposes a new method to construct a developable surface possessing a given curve as the line of curvature of it. We analyze the necessary and sufficient conditions when the resulting developable surface is a cylinder, cone or tangent surface. Finally, we illustrate the convenience and efficiency of this method by some representative examples. ► We construct a developable surface possessing a given curve as the line of curvature. ► We derive the conditions when the developable surface is cylinder, cone or tangent surface. ► The function θ(s) can control the shape of the developable surface.