Dyadic \(C^2\) Hermite interpolation on a square mesh

DOI10.1016/j.cagd.2005.03.001zbMath1084.65019OpenAlexW2006539403MaRDI QIDQ2571177

Jean-Louis Merrien, Qun Mo, Serge Dubuc, Bin Han

Publication date: 1 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2005.03.001

zbMATH Keywords

convergencenumerical examplessubdivisionsurfacesHermite interpolationbivariate algorithms

Mathematics Subject Classification ID

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

Related Items (5)

Hermite subdivision with shape constraints on a rectangular mesh ⋮ Multivariate generalized Hermite subdivision schemes ⋮ Analysis and convergence of Hermite subdivision schemes ⋮ From Hermite to stationary subdivision schemes in one and several variables ⋮ A surface modeling method by using \(C^2\) piecewise rational spline interpolation

Cites Work

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• The \(p\)-norm joint spectral radius for even integers
• Dyadic Hermite interpolation on a rectangular mesh
• Vector cascade algorithms and refinable function vectors in Sobolev spaces
• On the regularity analysis of interpolatory Hermite subdivision schemes
• Monotone and convex \(C^1\) Hermite interpolants generated by a subdivision scheme
• Multiple refinable Hermite interpolants
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Interpolants d'HermiteC²obtenus par subdivision
• Multivariate refinable Hermite interpolant
• Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets

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