Interpolation of surfaces with geodesics
J. Korean Math. Soc.
Published online March 6, 2020
Hyun Chol Lee, Jae Won Lee, and Dae Won Yoon
Gyeongsang National University
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 $C^0$-Hermite surface interpolation. We also prove the existence of a $C^0$-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.
Keywords : $C^0$-Hermite interpolation, Isogeodesic, Ruled surface
MSC numbers : 53A05;65D17
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