Smooth surface interpolation to scattered data using interpolatory subdivision algorithms

DOI10.1016/0898-1221(96)00115-0zbMath0857.65009OpenAlexW2090532759MaRDI QIDQ1816672

Ravi P. Agarwal, Ruibin Qu

Publication date: 20 February 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00115-0

zbMATH Keywords

convergencesmoothingerror estimatestriangulationsscattered data interpolationsurface interpolationinterpolatory subdivision algorithminterpolatory surfaces

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Cites Work

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• Discrete box splines and refinement algorithms
• Subdivision algorithms for the generation of box spline surfaces
• A survey of curve and surface methods in CAGD
• On the convergence rates of subdivision algorithms for box spline surfaces
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Continuous and differentiable multidimensional iterative interpolation
• Interpolation through an iterative scheme
• Curves generated by a three-term difference algorithm
• Orthonormal bases of compactly supported wavelets
• Stationary subdivision

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