Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves

From MaRDI portal
Publication:4421082

DOI10.1016/S1524-0703(03)00002-XzbMath1055.68124OpenAlexW2009566988MaRDI QIDQ4421082

Rida T. Farouki

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




Related Items (27)

Extrapolation methods for approximating arc length and surface areaRational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curvesAlmost rotation-minimizing rational parametrization of canal surfacesA new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolantsArc lengths of rational Pythagorean-hodograph curvesIdentification and ``reverse engineering of Pythagorean-hodograph curvesHermite \(G^1\) rational spline motion of degree sixQuintic space curves with rational rotation-minimizing framesInteractive design of cubic IPH spline curvesSolvability of \(G^{1}\) Hermite interpolation by spatial Pythagorean-hodograph cubics and its selection schemeConstruction of rational surface patches bounded by lines of curvatureCharacterization and construction of helical polynomial space curves.Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curvesEquivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curvesRational rotation-minimizing frames -- recent advances and open problems\(C^1\) Hermite interpolation with spatial Pythagorean-hodograph cubic biarcsRational rotation-minimizing frames on polynomial space curves of arbitrary degreeGeometric Hermite interpolation by spatial Pythagorean-hodograph cubicsConstruction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius TransformationsGeometric Design Using Space Curves with Rational Rotation-Minimizing FramesA geometric product formulation for spatial pythagorean hodograph curves with applications to Hermite interpolationNonexistence of rational rotation-minimizing frames on cubic curvesA characterization of helical polynomial curves of any degree\(C^{1}\) Hermite interpolation by Pythagorean hodograph quintics in Minkowski spaceA new method to design cubic Pythagorean-hodograph spline curves with control polygonEuler-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