Univariate subdivision and multi-scale transforms: The nonlinear case

DOI10.1007/978-3-642-03413-8_7zbMath1190.65204OpenAlexW83485265MaRDI QIDQ3559396

Peter Oswald, N. Richter-Dyn

Publication date: 14 May 2010

Published in: Multiscale, Nonlinear and Adaptive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-03413-8_7

zbMATH Keywords

computer-aided geometric designnonlinearityscientific computingsubdivision methodsfast multi-scale algorithmshierarchical data representationmulti-grid solverswavelet-type pyramid transforms

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60)

Related Items (10)

Nonlinear multi-scale transforms: \(L_{p}\) theory ⋮ Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting ⋮ Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions ⋮ Smoothness characterization and stability of nonlinear and non-separable multiscale representations ⋮ A nonlinear Chaikin-based binary subdivision scheme ⋮ The PCHIP subdivision scheme ⋮ A class of nonlinear four-point subdivision schemes ⋮ Enforcing convergence of derivatives for \(L^\infty\) approximation of a regular curve ⋮ On the construction of multiresolution analyses associated to general subdivision schemes ⋮ Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators

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