Space curves defined by curvature-torsion relations and associated helices
From MaRDI portal
Publication:5864184
DOI10.2298/FIL1915951DzbMath1499.53036OpenAlexW3005198801MaRDI QIDQ5864184
Azeb Alghanemi, Sharief Deshmukh, Rida T. Farouki
Publication date: 3 June 2022
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/fil1915951d
general helixslant helixrectifying curvespherical curvePythagorean-hodograph curveassociated circular helix
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Affine differential geometry (53A15)
Related Items (3)
Position vectors of the natural mate and conjugate of a space curve ⋮ Characterizations of Loxodromes on Rotational Surfaces in Euclidean 3-Space ⋮ Curves orthogonal to a vector field in Euclidean spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion
- Rational space curves are not ``unit speed
- Helices for mathematical modelling of proteins, nucleic acids and polymers
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves
- Characterization and construction of helical polynomial space curves.
- A characterization of quintic helices
- Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations
- A global formulation of the condition for a curve to lie in a sphere
- When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
- On rectifying curves in Euclidean 3-space
- Explicit Characterization of Spherical Curves
- On an Explicit Characterization of Spherical Curves
This page was built for publication: Space curves defined by curvature-torsion relations and associated helices