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arXiv · 2103.02419

Interpolation of surfaces with asymptotic curves in Euclidean 3-space

Mustafa Altın·İnan Ünal·Fatemah Mofarreh
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Abstract

In this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exist a unique $ C^0 $-Hermite surface interpolation related to an isoasymptotic curve under some special conditions on the marching scale functions. Finally, we present some examples and plot their graphs.

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Mustafa Altın, İnan Ünal, Fatemah Mofarreh. 2021-02-23. Interpolation of surfaces with asymptotic curves in Euclidean 3-space. https://doi.org/10.18576/amis%2F150416

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