English

Interpolation of surfaces with asymptotic curves in Euclidean 3-space

General Mathematics 2022-12-19 v1

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 C0 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.

Keywords

Cite

@article{arxiv.2103.02419,
  title  = {Interpolation of surfaces with asymptotic curves in Euclidean 3-space},
  author = {Mustafa Altın and İnan Ünal and Fatemah Mofarreh},
  journal= {arXiv preprint arXiv:2103.02419},
  year   = {2022}
}