Energy formulations of \(A\)-splines

DOI10.1016/S0167-8396(98)00029-6zbMath0908.68176OpenAlexW2086215012MaRDI QIDQ1274592

Jindong Chen, Chandrajit L. Bajaj, Arun N. Netravali, Robert J. Holt

Publication date: 12 January 1999

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(98)00029-6

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spline approximation (41A15)

Related Items (4)

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement ⋮ Least squares fitting of piecewise algebraic curves ⋮ A constructive framework for minimal energy planar curves ⋮ Geometric constraints on quadratic Bézier curves using minimal length and energy

Cites Work

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• The elastic bending energy of Pythagorean-hodograph curves
• Plane curves of minimal energy
• A Fast algorithm for active contours and curvature estimation
• Minimal-energy splines: I. Plane curves with angle constraints
• The Curve of Least Energy
• [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
• Equilibria of the Curvature Functional and Manifolds of Nonlinear Interpolating Spline Curves
• On the Computation of Nonlinear Spline Functions
• Variational Study of Nonlinear Spline Curves

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