Interpolation of surfaces with geodesics
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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.
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.
참고문헌 (7)
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