Interpolation of Surfaces with Asymptotic Curves in Euclidean 3-Space

Authors

Mustafa Altın, Technical Sciences Vocational School, Bingo ̈l University, Bingo ̈l, TurkeyFollow
Inan Unal, Department of Computer Engineering, Munzur University, Tunceli, TurkeyFollow
Fatemah Mofarreh, Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11546 Saudi ArabiaFollow

Author Country (or Countries)

Turkey

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 exists a unique C0-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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150416

Recommended Citation

Altın, Mustafa; Unal, Inan; and Mofarreh, Fatemah (2021) "Interpolation of Surfaces with Asymptotic Curves in Euclidean 3-Space," Applied Mathematics & Information Sciences: Vol. 15: Iss. 4, Article 16.
DOI: http://dx.doi.org/10.18576/amis/150416
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss4/16