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INTERPOLATION OF SURFACES WITH GEODESICS
- Authors
- Lee, Hyun Chol; Lee, Jae Won; Yoon, Dae Won
- Issue Date
- Jul-2020
- Publisher
- 대한수학회
- Keywords
- C-0-Hermite interpolation; isogeodesic; ruled surface
- Citation
- 대한수학회지, v.57, no.4, pp 957 - 971
- Pages
- 15
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- 대한수학회지
- Volume
- 57
- Number
- 4
- Start Page
- 957
- End Page
- 971
- ISSN
- 0304-9914
2234-3008
- 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.
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