- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 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 Full-Text :