Unified representations of nonlinear splines

DOI10.1006/jath.1996.0022zbMath0858.41004OpenAlexW2044307345MaRDI QIDQ1912240

Anders Linnér

Publication date: 1996

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.0022

zbMATH Keywords

Euler-Bernoulli elasticaelastic curvesnonlinear spline

Mathematics Subject Classification ID

Multidimensional problems (41A63) Optimization of shapes other than minimal surfaces (49Q10) Spline approximation (41A15) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (16)

Morse theory for elastica ⋮ Maxwell strata in the Euler elastic problem ⋮ Li-Yau type inequality for curves in any codimension ⋮ A Li-Yau inequality for the 1-dimensional Willmore energy ⋮ Elastic splines I: existence ⋮ A constructive framework for minimal energy planar curves ⋮ Boundary value problems for Euler-Bernoulli planar elastica. A solution construction procedure ⋮ Second order spiral splines ⋮ Elastic splines III: existence of stable nonlinear splines ⋮ Elastic curves and phase transitions ⋮ The critical points of the elastic energy among curves pinned at endpoints ⋮ Solution to Euler's elastic problem ⋮ Curve-straightening and the Palais-Smale condition ⋮ A unique graph of minimal elastic energy ⋮ A Remark on Elastic Graphs with the Symmetric Cone Obstacle ⋮ Shape-preserving, multiscale interpolation by univariate curvature-based cubic \(L_{1}\) splines in Cartesian and polar coordinates

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