A variational approach to spline curves on surfaces

DOI10.1016/j.cagd.2005.06.006zbMath1083.65016OpenAlexW2076715871MaRDI QIDQ2574276

Helmut Pottmann, Michael Hofer

Publication date: 18 November 2005

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2005.06.006

zbMATH Keywords

image processingspline approximationspline interpolationcomputer graphicscubic splinesquintic splinesshape optimizationroboticsgeometric modelingsplines in tensioncurves in manifoldsvariational curve design

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (12)

Smooth interpolation of key frames in a Riemannian shell space ⋮ A bispace parameterization method for shape optimization of thin-walled curved shell structures with openings ⋮ Existence of set-interpolating and energy-minimizing curves ⋮ Euclidean offset and bisector approximations of curves over freeform surfaces ⋮ Shape-preserving interpolation on surfaces via variable-degree splines ⋮ Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion ⋮ Bertrand curves in the three-dimensional sphere ⋮ Bézier curves and \(C^{2}\) interpolation in Riemannian manifolds ⋮ \(C^{2}\) spherical Bézier splines ⋮ ConstructingG¹continuous curve on a free-form surface with normal projection ⋮ Smooth interpolation on homogeneous matrix groups for computer animation ⋮ Pseudo null curve variations for Bishop frame in 3D semi-Riemannian manifold

Uses Software

• KELLEY

Cites Work

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