[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j190456

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)

Publication Information

Journal of the Korean Mathematical Society / v.57, no.4, 2020 , pp. 957-971 More about this Journal

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.

Keywords

$C^0$ -Hermite interpolation; isogeodesic; ruled surface;

Citations & Related Records

Reference

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