Stability of manifold-valued subdivision schemes and multiscale transformations

DOI10.1007/s00365-010-9085-8zbMath1205.41013OpenAlexW2170663107MaRDI QIDQ607487

Philipp Grohs

Publication date: 22 November 2010

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-010-9085-8

zbMATH Keywords

manifold-valued datanonlinear subdivisionLipschitz-interpolatory wavelet transform

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25)

Related Items (10)

Definability and stability of multiscale decompositions for manifold-valued data ⋮ On a New Proximity Condition for Manifold-Valued Subdivision Schemes ⋮ Hermite multiwavelets for manifold-valued data ⋮ Wavelet Sparse Regularization for Manifold-Valued Data ⋮ Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms ⋮ Geometric multiscale decompositions of dynamic low-rank matrices ⋮ Non-smooth Variational Regularization for Processing Manifold-Valued Data ⋮ Geometric Subdivision and Multiscale Transforms ⋮ A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes ⋮ Approximation order from stability for nonlinear subdivision schemes

Cites Work

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• The Lifting Scheme: A Construction of Second Generation Wavelets
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• Smoothness of interpolatory multivariate subdivision in Lie groups
• Multiscale Representations for Manifold-Valued Data

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