An approach for designing a surface pencil through a given asymptotic curve
作者: Fatma GülerGülnur Şaffak AtalayErgin Bayram
刊名: Journal of Applied Mathematics and Computation, 2019, Vol.3 (4)
来源数据库: Hill Publishing Group
DOI: 10.26855/jamc.2019.06.002
关键词: Asymptotic curveRotation minimizing frameParametric surface
原始语种摘要: Surfaces and curves play an important role in geometric design. In recent years, problem of finding a surface passing through a given curve has attracted much interest. In the present paper, we propose a new method to construct a surface interpolating a given curve as the asymptotic curve of it. Also, we analyze the conditions when the resulting surface is a ruled surface. Furthermore, we prove that there exists no developable surface possessing a given curve as an asymptotic curve except plane. Finally, we illustrate this method by presenting some examples.
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  • asymptotic 渐近的
  • given 已知的
  • approach 
  • designing 设计
  • through 经过
  • curve 弯曲
  • surface 
  • minimizing 极小化
  • prove 实验
  • problem 题目