Full rank interpolatory subdivision: a first encounter with the multivariate realm

DOI10.1016/j.jat.2009.08.008zbMath1194.41042OpenAlexW2160605656MaRDI QIDQ968961

Mariantonia Cotronei, Constanza Conti, Thomas Sauer

Publication date: 11 May 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2009.08.008

zbMATH Keywords

full rankmatrix tensor product schememultivariate interpolatory schememultivariate vector subdivision

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (2)

Anisotropic bivariate subdivision with applications to multigrid ⋮ An anisotropic directional subdivision and multiresolution scheme

Cites Work

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• On vector subdivision
• Regularity of multiwavelets
• Regularity of multivariate vector subdivision schemes
• Wavelets for multichannel signals
• Full rank filters and polynomial reproduction
• Full rank positive matrix symbols: interpolation and orthogonality
• Stationary subdivision
• Polynomial interpolation, ideals and approximation order of multivariate refinable functions

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