\(G^{1}\) motion interpolation using cubic PH biarcs with prescribed length
From MaRDI portal
Publication:668998
DOI10.1016/j.cagd.2018.09.004zbMath1505.65069OpenAlexW2894208188WikidataQ129209093 ScholiaQ129209093MaRDI QIDQ668998
Publication date: 20 March 2019
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2018.09.004
Related Items
Interpolation of planar \(G^1\) data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths ⋮ Construction of \(G^2\) spatial interpolants with prescribed arc lengths ⋮ Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames ⋮ Geometric interpolation of ER frames with \(G^2\) Pythagorean-hodograph curves of degree 7
Cites Work
- Unnamed Item
- Hermite \(G^1\) rational spline motion of degree six
- \(G^{1}\) Hermite interpolation by PH cubics revisited
- Quintic space curves with rational rotation-minimizing frames
- Solvability of \(G^{1}\) Hermite interpolation by spatial Pythagorean-hodograph cubics and its selection scheme
- Rational rotation-minimizing frames -- recent advances and open problems
- Construction of \(G^{3}\) rational motion of degree eight
- An approach to geometric interpolation by Pythagorean-hodograph curves
- Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures
- Nonexistence of rational rotation-minimizing frames on cubic curves
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths
- Rational frames of minimal twist along space curves under specified boundary conditions
- Interpolation with spatial rational Pythagorean-hodograph curves of class 4
- Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves
- Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics
- Euler-Rodrigues frames on spatial Pythagorean-hodograph curves.
- Hermite interpolation by rational \(G^K\) motions of low degree
- On the approximation order of a space data-dependent PH quintic Hermite interpolation scheme
- \(C^1\) Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs
- Construction of low degree rational motions
- Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants
- $C^2$ Hermite interpolation by Pythagorean Hodograph space curves
- Shape-preserving interpolation of spatial data by Pythagorean-hodograph quintic spline curves
- Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves
- Design of rational rotation–minimizing rigid body motions by Hermite interpolation
- Construction and shape analysis of PH quintic Hermite interpolants