Optimal twist vectors as a tool for interpolating a network of curves with a minimum energy surface

DOI10.1016/0167-8396(90)90009-GzbMath0713.65004OpenAlexW2164493555MaRDI QIDQ750076

Michael Kallay, Bahram Ravani

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-8396(90)90009-g

zbMATH Keywords

energy functionalquadratic formmixed partial derivativesinterpolating surfacesminimum energy surfacenetwork of curvesoptimal twist vectors

Mathematics Subject Classification ID

Variational inequalities (49J40) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Numerical differentiation (65D25)

Related Items (6)

Generation of interpolation surfaces with the least strain energy using dynamic programming ⋮ Unnamed Item ⋮ A new computational approach to the twists of bicubic Coons surfaces ⋮ A process for surface fairing in irregular meshes ⋮ Approximation of minimum energy surfaces using optimal twists ⋮ Blending curves for landing problems by numerical differential equations. I: Mathematical modelling

Cites Work

• Unnamed Item
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• Automatic smoothing with geometric surface patches
• Twists, curvatures and surface interrogation
• A method of bivariate interpolation and smooth surface fitting based on local procedures

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