Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion
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Publication:625179
DOI10.1016/j.cagd.2008.10.002zbMath1205.65097OpenAlexW2065083610MaRDI QIDQ625179
Publication date: 15 February 2011
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2008.10.002
Related Items (28)
Quaternionic Salkowski curves and quaternionic similar curves ⋮ Natural and conjugate mates of Frenet curves in three-dimensional Lie group ⋮ Special Smarandache Curves with Respect to Darboux Frame in the Galilean 3-Space ⋮ Position vectors of curves with recpect to Darboux frame in the Galilean space G³ ⋮ The Bertrand curve associated to a Salkowski curve ⋮ Closing curves by rearranging arcs ⋮ Ruled surfaces generated by some special curves in Euclidean 3-space ⋮ Position vectors of the natural mate and conjugate of a space curve ⋮ The slant helix solutions of the equilibrium shape equations for the biopolymer chains ⋮ Position vectors of slant helices in Euclidean 3-space ⋮ Vectorial moments of curves in Euclidean 3-space ⋮ Surfaces of osculating circles in Euclidean space ⋮ A New Approach to Mannheim Curve in Euclidean 3-Space ⋮ Unnamed Item ⋮ HARMONIC CURVATURE FUNCTIONS OF SOME SPECIAL CURVES IN GALILEAN 3-SPACE ⋮ Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space ⋮ A new approach to Bertrand curves in Euclidean 3-space ⋮ Special space curves characterized by \(\det(\alpha^{(3)},\alpha^{(4)},\alpha^{(5)}) =0\) ⋮ Position vector of a time-like slant helix in Minkowski 3-space ⋮ The Generalization of Helices ⋮ Sequential natural mates of Frenet curves in Euclidean 3-space ⋮ Some integral curves with a new frame ⋮ Direction curves associated with Darboux vectors fields and their characterizations ⋮ Smarandache curves according to the Sabban frame belonging to spherical indicatrix curve of the Salkowski curve ⋮ Unnamed Item ⋮ Intrinsic Equations of Some Special Curves in Euclidean 3-Space ⋮ Space curves defined by curvature-torsion relations and associated helices ⋮ Space Curves Related by a Transformation of Combescure
Cites Work
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- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves
- A characterization of quintic helices
- Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations
- \(h\)-principles for curves and knots of constant curvature
- A variational approach to spline curves on surfaces
- KNOTS OF CONSTANT CURVATURE
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