Planar quintic \(G^2\) Hermite interpolation with minimum strain energy
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Publication:399082
DOI10.1016/j.cam.2014.07.015zbMath1296.65017OpenAlexW2016750058MaRDI QIDQ399082
Publication date: 19 August 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2014.07.015
strain energynumerical examplesshape design\(G^2\) Hermite interpolationfair curveproximal gradient methodquintic curve
Related Items (8)
Quintic generalized Hermite interpolation curves: construction and shape optimization using an improved GWO algorithm ⋮ Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths ⋮ Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths ⋮ On the linear independence of the derivatives of Bernstein polynomials ⋮ Spiral transitions ⋮ A constructive framework for minimal energy planar curves ⋮ Streaming Hermite interpolation using cubic splinelets ⋮ Area-preserving geometric Hermite interpolation
Cites Work
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- Curvature variation minimizing cubic Hermite interpolants
- Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme
- Planar cubic \(G^{1}\) interpolatory splines with small strain energy
- A generalisation of the Pythagorean hodograph quintic spiral
- High accuracy geometric Hermite interpolation
- Geometric constraints on quadratic Bézier curves using minimal length and energy
- Interpolation with cubic spirals
- Geometric Hermite curves with minimum strain energy
- C-shaped \(G^2\) Hermite interpolation by rational cubic Bézier curve with conic precision
- Shape-preserving interpolation by fair discrete \(G^3\) space curves
- Planning Algorithms
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