Smooth Interpolating Curves of Prescribed Length and Minimum Curvature

DOI10.2307/2039846zbMath0309.41002OpenAlexW4254772731MaRDI QIDQ4067510

Joseph W. Jerome

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2039846

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Interpolation in approximation theory (41A05) Existence theories for free problems in one independent variable (49J05)

Related Items (12)

Elastic splines. II. Unicity of optimal s-curves and curvature continuity ⋮ Existence of free nonclosed Euler–Bernoulli elastica ⋮ An elastic flow for nonlinear spline interpolations in ℝⁿ ⋮ Maxwell strata in the Euler elastic problem ⋮ Elastic splines I: existence ⋮ Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads ⋮ Stable and unstable elastica equilibrium and the problem of minimum curvature ⋮ Elastic splines III: existence of stable nonlinear splines ⋮ Solution to Euler's elastic problem ⋮ Pseudospline Interpolation for Space Curves ⋮ A unique graph of minimal elastic energy ⋮ Shape-preserving, multiscale interpolation by univariate curvature-based cubic \(L_{1}\) splines in Cartesian and polar coordinates

Cites Work

• Stable and unstable elastica equilibrium and the problem of minimum curvature
• Variational Study of Nonlinear Spline Curves
• Minimization Problems and Linear and Nonlinear Spline Functions. I: Existence

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