Interactive design of constrained variational curves

DOI10.1016/0167-8396(94)00033-OzbMath0875.68848MaRDI QIDQ672481

Wieger Wesselink, Remco C. Veltkamp

Publication date: 28 February 1997

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

zbMATH Keywords

Energy functionalsInteractive designVariational curves

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (7)

Geometric construction of energy-minimizing Béezier curves ⋮ Shape analysis and fairness metric of generalized fractional Bézier curve ⋮ Hermite \(G^1\) rational spline motion of degree six ⋮ Dynamic PDE parametric curves ⋮ Adjusting the energy of ball curves by modifying movable control balls ⋮ The quartic Catmull-Rom spline with local adjustability and its shape optimization ⋮ Approximation of curves by fairness splines with tangent conditions

Uses Software

• Mathematica

Cites Work

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• A practical guide to splines
• Interpolation with minimal-energy splines
• Variational design of curves and surfaces
• A Fast algorithm for active contours and curvature estimation
• Minimal-energy splines: I. Plane curves with angle constraints
• The Curve of Least Energy
• An Interpolation Curve Using a Spline in Tension
• Convex Programming and Duality in Normed Space

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