Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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INTERPOLATION OF SURFACES WITH GEODESICS

  • Lee, Hyun Chol (Department of Mathematics Education and RINS Gyeongsang National University) ;
  • Lee, Jae Won (Department of Mathematics Education and RINS Gyeongsang National University) ;
  • Yoon, Dae Won (Department of Mathematics Education and RINS Gyeongsang National University)
  • Received : 2019.07.01
  • Accepted : 2020.02.11
  • Published : 2020.07.01
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Abstract

In this paper, we introduce a new method to construct a parametric surface in terms of curves and points lying on Euclidean 3-space, called a C0-Hermite surface interpolation. We also prove the existence of a C0-Hermite interpolation of isoparametric surfaces with the so-called marching scale functions, and give some examples. Finally, we construct ruled surfaces and surfaces foliated by a circle as an isoparametric surface.

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References

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