Singularities of a space curve according to the relatively parallel adapted frame and its visualization

DOI10.1155/2013/512020zbMath1299.65030OpenAlexW2085883413WikidataQ59028324 ScholiaQ59028324MaRDI QIDQ473733

Haiming Liu, Dong He Pei

Publication date: 24 November 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/512020

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Curves in Euclidean and related spaces (53A04)

Related Items (4)

Singularities of non-lightlike developable surfaces in Minkowski 3-space ⋮ On special type-2 Bishop motion and Bishop Darboux rotation axes of the space curve ⋮ Curves and surfaces of spacelike curves according to Bishop frame and their singularities ⋮ Rational rotation-minimizing frames -- recent advances and open problems

Cites Work

• Null Darboux developable and pseudo-spherical Darboux image of null Cartan curve in Minkowski 3-space
• Nonexistence of rational rotation-minimizing frames on cubic curves
• A new version of Bishop frame and an application to spherical images
• On slant helix and its spherical indicatrix
• Anisotropy of the quantum thermal state in schwarzschild space-time
• Generic Geometry
• The slant helices according to bishop frame of the spacelike curve in Lorentzian space
• There is More than One Way to Frame a Curve
• The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space
• Special Bishop Motion and Bishop Darboux Rotation Axis of the Space Curve
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