Polynomial-based non-uniform interpolatory subdivision with features control

DOI10.1016/j.cam.2010.09.014zbMath1220.65024OpenAlexW2136325171MaRDI QIDQ555164

Lucia Romani, Giulio Casciola, Carolina Vittoria Beccari

Publication date: 22 July 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.09.014

zbMATH Keywords

interpolationalgorithmsubdivisiongraphical examplesarbitrary point insertionfeatures controlnon-uniform parameterization

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)

Related Items (8)

Compression of corneal maps of curvature ⋮ A smoothness criterion for monotonicity-preserving subdivision ⋮ A general framework for the construction of piecewise-polynomial local interpolants of minimum degree ⋮ Optimized dual interpolating subdivision schemes ⋮ Non-uniform interpolatory subdivision surface ⋮ Semi-regular Dubuc-Deslauriers wavelet tight frames ⋮ Optimal Hölder-Zygmund exponent of semi-regular refinable functions ⋮ Convexity preserving interpolatory subdivision with conic precision

Cites Work

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• Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
• Numerical Checking of C 1 for Arbitrary Degree Quadrilateral Subdivision Schemes
• Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets
• Mathematics of Surfaces XI

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