A characterization of helical polynomial curves of any degree
From MaRDI portal
Publication:1014873
DOI10.1007/s10444-008-9063-xzbMath1162.53001OpenAlexW2053753540MaRDI QIDQ1014873
Publication date: 29 April 2009
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-008-9063-x
Related Items
Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations ⋮ Helical polynomial curves interpolating \(G^{1}\) data with prescribed axes and pitch angles ⋮ Parametric curves with Pythagorean binormal ⋮ Quintic space curves with rational rotation-minimizing frames ⋮ Rational Pythagorean-hodograph space curves ⋮ Geometric Hermite interpolation by monotone helical quintics ⋮ Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3 ⋮ Rotation-minimizing osculating frames ⋮ Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves ⋮ Cubic helical splines with Frenet-frame continuity ⋮ Rational rotation-minimizing frames -- recent advances and open problems ⋮ Rational rotation-minimizing frames on polynomial space curves of arbitrary degree ⋮ Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves ⋮ Planar projections of spatial Pythagorean-hodograph curves
Cites Work
- An algebraic approach to curves and surfaces on the sphere and on other quadrics
- Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
- Characterization and construction of helical polynomial space curves.
- Clifford algebra, spin representation, and rational parameterization of curves and surfaces
- Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics
- A characterization of quintic helices
- Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves
- Unnamed Item
