Hermite \(G^1\) rational spline motion of degree six
From MaRDI portal
Publication:403084
DOI10.1007/s11075-013-9756-1zbMath1297.65021OpenAlexW2025148209MaRDI QIDQ403084
Publication date: 29 August 2014
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-013-9756-1
numerical examplescomputer graphicspath planninggeometric continuitygeometric interpolationmotion designrational spline motion
Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)
Related Items (9)
\( C^1\) and \(G^1\) continuous rational motions using a conformal geometric algebra ⋮ Bézier motions with end-constraints on speed ⋮ \(C^1\) interpolation by rational biarcs with rational rotation minimizing directed frames ⋮ Fitting a planar quadratic slerp motion ⋮ On \(\mathcal{C}^2\) rational motions of degree six ⋮ Construction of \(G^{3}\) rational motion of degree eight ⋮ \(C^{1}\) and \(C^{2}\) interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames ⋮ \(G^{1}\) motion interpolation using cubic PH biarcs with prescribed length ⋮ Geometric interpolation of ER frames with \(G^2\) Pythagorean-hodograph curves of degree 7
Cites Work
- Unnamed Item
- Geometric Hermite interpolation with maximal order and smoothness
- Interactive design of constrained variational curves
- An approach to geometric interpolation by Pythagorean-hodograph curves
- Geometric interpolation by planar cubic polynomial curves
- Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves
- Geometric Hermite interpolation by cubic \(G^1\) splines
- High accuracy geometric Hermite interpolation
- Cartesian spline interpolation for industrial robots
- Rational interpolation on a hypersphere
- Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves
- Hermite interpolation by rational \(G^K\) motions of low degree
- Construction of low degree rational motions
- Geometric interpolation by planar cubic \(G^{1}\) splines
- On interpolation by Planar cubic $G^2$ pythagorean-hodograph spline curves
- Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves
- Hermite Geometric Interpolation by Rational Bézier Spatial Curves
- Design of rational rotation–minimizing rigid body motions by Hermite interpolation
This page was built for publication: Hermite \(G^1\) rational spline motion of degree six
