The PCHIP subdivision scheme

DOI10.1016/j.amc.2015.07.071zbMath1410.65044OpenAlexW2137638530MaRDI QIDQ668335

Rosa Donat, Maria Santágueda, Francesc Aràndiga

Publication date: 19 March 2019

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

Full work available at URL: http://hdl.handle.net/10234/158954

zbMATH Keywords

stabilityconvergenceapproximation ordernonlinear subdivision schemes

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

A family of non-oscillatory 6-point interpolatory subdivision schemes ⋮ High-accuracy approximation of piecewise smooth functions using the Truncation and Encode approach ⋮ A nonlinear Chaikin-based binary subdivision scheme ⋮ Nonlinear stationary subdivision schemes reproducing hyperbolic and trigonometric functions ⋮ Non-oscillatory butterfly-type interpolation on triangular meshes

Uses Software

• Matlab
• pchip

Cites Work

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• Nonlinear multiscale decompositions: The approach of A. Harten
• On the stability of the PPH nonlinear multiresolution
• Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms
• A fully adaptive multiresolution scheme for image processing
• Analysis of a new nonlinear subdivision scheme. Applications in image processing
• On the Order of Nonuniform Monotone Cubic Hermite Interpolants
• Univariate subdivision and multi-scale transforms: The nonlinear case
• Monotone Piecewise Cubic Interpolation
• Stationary subdivision
• Accurate Monotone Cubic Interpolation
• Multiresolution Based on Weighted Averages of the Hat Function I: Linear Reconstruction Techniques
• Multiresolution Representation of Data: A General Framework
• Stability Through Synchronization in Nonlinear Multiscale Transformations

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