Scattered data interpolation using minimum energy Powell-Sabin elements and data dependent triangulations
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Publication:1315246
DOI10.1007/BF02113893zbMath0789.65003MaRDI QIDQ1315246
Publication date: 17 March 1994
Published in: Numerical Algorithms (Search for Journal in Brave)
numerical examplesDelaunay triangulationscattered data interpolationdata dependent triangulationslocally optimal triangulationsPowell-Sabin piecewise quadratic interpolant
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)
Related Items (4)
Preconditioned conjugate gradient method for finding minimal energy surfaces on Powell-Sabin triangulations ⋮ Energy minimization method for scattered data Hermite interpolation ⋮ Data-dependent triangulations for scattered data interpolation and finite element approximation ⋮ Interpolating minimal energy C1‐Surfaces on <scp>P</scp>owell–<scp>S</scp>abin Triangulations: Application to the resolution of elliptic problems
Cites Work
- Estimation of gradients from scattered data
- A triangle-based \(C^ 1\) interpolation method
- Derivative generation from multivariate scattered data by functional minimization
- Transforming triangulations in polygonal domains
- Cubic spline fitting using data dependent triangulations
- Transforming triangulations
- Data Dependent Triangulations for Piecewise Linear Interpolation
- Scattered Data Interpolation: Tests of Some Method
- Long and Thin Triangles Can Be Good for Linear Interpolation
- Piecewise Quadratic Approximations on Triangles
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