Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves
From MaRDI portal
Publication:4421082
DOI10.1016/S1524-0703(03)00002-XzbMath1055.68124OpenAlexW2009566988MaRDI QIDQ4421082
Publication date: 19 August 2003
Published in: Graphical Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1524-0703(03)00002-x
Pythagorean-hodograph curvesFrenet-Serret frameDifferential geometryRotation-minimizing frameRational function integration
Related Items (27)
Extrapolation methods for approximating arc length and surface area ⋮ Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves ⋮ Almost rotation-minimizing rational parametrization of canal surfaces ⋮ A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants ⋮ Arc lengths of rational Pythagorean-hodograph curves ⋮ Identification and ``reverse engineering of Pythagorean-hodograph curves ⋮ Hermite \(G^1\) rational spline motion of degree six ⋮ Quintic space curves with rational rotation-minimizing frames ⋮ Interactive design of cubic IPH spline curves ⋮ Solvability of \(G^{1}\) Hermite interpolation by spatial Pythagorean-hodograph cubics and its selection scheme ⋮ Construction of rational surface patches bounded by lines of curvature ⋮ Characterization and construction of helical polynomial space curves. ⋮ Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves ⋮ Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves ⋮ Rational rotation-minimizing frames -- recent advances and open problems ⋮ \(C^1\) Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs ⋮ Rational rotation-minimizing frames on polynomial space curves of arbitrary degree ⋮ Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics ⋮ Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations ⋮ Geometric Design Using Space Curves with Rational Rotation-Minimizing Frames ⋮ A geometric product formulation for spatial pythagorean hodograph curves with applications to Hermite interpolation ⋮ Nonexistence of rational rotation-minimizing frames on cubic curves ⋮ A characterization of helical polynomial curves of any degree ⋮ \(C^{1}\) Hermite interpolation by Pythagorean hodograph quintics in Minkowski space ⋮ A new method to design cubic Pythagorean-hodograph spline curves with control polygon ⋮ Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. ⋮ $C^2$ Hermite interpolation by Pythagorean Hodograph space curves
This page was built for publication: Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves