Multidimensional Interpolatory Subdivision Schemes
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Publication:4377563
DOI10.1137/S0036142995294310zbMath0889.65005MaRDI QIDQ4377563
Zuowei Shen, Sherman D. Riemenschneider
Publication date: 10 February 1998
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Numerical computation using splines (65D07) Numerical interpolation (65D05) Multidimensional problems (41A63) Spline approximation (41A15)
Related Items (29)
Construction of biorthogonal wavelets from pseudo-splines ⋮ Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces ⋮ On polynomial symbols for subdivision schemes ⋮ Multivariate orthonormal interpolating scaling vectors ⋮ A constructive algebraic strategy for interpolatory subdivision schemes induced by bivariate box splines ⋮ COMPACTLY SUPPORTED MULTIVARIATE, PAIRS OF DUAL WAVELET FRAMES OBTAINED BY CONVOLUTION ⋮ On the holes of a class of bidimensional nonseparable wavelets. ⋮ Interpolating refinable functions and wavelets for general scaling ⋮ Quincunx fundamental refinable functions and quincunx biorthogonal wavelets ⋮ Symmetry property and construction of wavelets with a general dilation matrix ⋮ Interpolatory subdivision schemes with the optimal approximation order ⋮ Quincunx fundamental refinable functions in arbitrary dimensions ⋮ From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks ⋮ Duality for frames ⋮ Dual wavelet frames and Riesz bases in Sobolev spaces ⋮ Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils ⋮ Multivariate symmetric interpolating scaling vectors with duals ⋮ Spline interpolation and wavelet construction ⋮ Multivariate refinable interpolating functions ⋮ Surface design using locally interpolating subdivision schemes ⋮ Interpolatory subdivision schemes induced by box splines ⋮ Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities ⋮ Analysis and construction of multivariate interpolating refinable function vectors ⋮ A new subdivision method for bivariate splines on the four-directional mesh ⋮ Fundamental functions for local interpolation of quadrilateral meshes with extraordinary vertices ⋮ The Sobolev regularity of refinable functions ⋮ A new approach to interpolating scaling functions ⋮ Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices ⋮ Interpolatory ternary subdivision surfaces
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