On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13

The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering, and biology. The main aim of this paper is usin...

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Bibliographic Details
Published inAbstract and applied analysis Vol. 2022
Main Authors Alluhaibi, Nadia, Abdel-Baky, Rashad A., Naghi, Monia
Format Journal Article
LanguageEnglish
Published New York Hindawi 2022
Hindawi Limited
Wiley
Subjects
Computer graphics
Euclidean space
Minkowski space
Singularities
Sweeping
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Summary:The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering, and biology. The main aim of this paper is using the RMF for classification of singularity type of timelike sweeping surface and Bishop spherical Darboux image which is mightily concerning a unit speed spacelike curve with timelike binormal vector in E13.
ISSN:1085-3375
1687-0409
DOI:10.1155/2022/9121239