@article{Mofarreh2024, 
author = {Fatemah Mofarreh and Rashad A. Abdel-Baky},
title = {Singularities of swept surfaces in Euclidean 3-space},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {26049-26064},
keywords = {unfolding theory, developable surface, Bishop height function},
url = {https://www.sciopen.com/article/10.3934/math.20241272},
doi = {10.3934/math.20241272},
abstract = {This study examines the local singularities of tube surfaces, especially those of swept surfaces  (SS) in Euclidean 3-space  E3.  SS is created by moving a planar curve through space such that the trajectory of any point on the surface remains perpendicular to the plane. The Type-2 Bishop frame is considered, and the singularities of these  SS are analyzed. Examples are offered and illustrated.}
}