Symmetric iterative interpolation processes
From MaRDI portal
Publication:1112534
DOI10.1007/BF01889598zbMath0659.65004OpenAlexW4251619700WikidataQ115188675 ScholiaQ115188675MaRDI QIDQ1112534
Serge Dubuc, Gilles Deslauriers
Publication date: 1989
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01889598
interpolationFourier transformnumerical examplestrigonometric polynomialscurve fittingLagrange polynomialError bounds
Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Trigonometric polynomials, inequalities, extremal problems (42A05)
Related Items (only showing first 100 items - show all)
Exponential pseudo-splines: looking beyond exponential B-splines ⋮ Generalized symmetric interpolating wavelets ⋮ A multi-step linearization technique for a class of boundary value problems in nonlinear mechanics ⋮ Generation of fractal curves and surfaces using ternary 4-point interpolatory subdivision scheme ⋮ An ideal spline-wavelet family for curve design and editing ⋮ Ternary \(2N\)-point Lagrange subdivision schemes ⋮ A subdivision based iterative collocation algorithm for nonlinear third-order boundary value problems ⋮ Time-splitting finite difference method with the wavelet-adaptive grids for semiclassical Gross-Pitaevskii equation in supercritical case ⋮ WAMR: an adaptive wavelet method for the simulation of compressible reacting flow. Part I: Accuracy and efficiency of algorithm ⋮ Wavelets: Properties and approximate solution of a second kind integral equation ⋮ A new three-point approximating \(C^{2}\) subdivision scheme ⋮ Non-stationary subdivision for exponential polynomials reproduction ⋮ Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric ⋮ A study on the mask of interpolatory symmetric subdivision schemes ⋮ On multiresolution schemes using a stencil selection procedure: applications to ENO schemes ⋮ Efficient evaluation of subdivision schemes with polynomial reproduction property ⋮ \((2n - 1)\)-point ternary approximating and interpolating subdivision schemes ⋮ Lagrange interpolatory subdivision schemes in Chebyshev spaces ⋮ Efficient multi-scale computation of products of orbitals in electronic structure calculations ⋮ Improvement in computational efficiency of Euler equations via a modified sparse point representation method ⋮ Signal decomposition and analysis via extraction of frequencies ⋮ Bivariate interpolation based on univariate subdivision schemes ⋮ On interpolatory subdivision from approximating subdivision scheme ⋮ Analysis of quasi-uniform subdivision. ⋮ Variations on the four-point subdivision scheme ⋮ Quasilinear subdivision schemes with applications to ENO interpolation. ⋮ A fast Chebyshev's method for quadratic equations. ⋮ A piecewise polynomial approach to analyzing interpolatory subdivision ⋮ The approximation order of four-point interpolatory curve subdivision ⋮ Smoothness characterization and stability for nonlinear multiscale representations. ⋮ From approximating to interpolatory non-stationary subdivision schemes with the same generation properties ⋮ Fractal generation using ternary 5-point interpolatory subdivision scheme ⋮ A review on the piecewise polynomial harmonic interpolation ⋮ Building blocks for designing arbitrarily smooth subdivision schemes with conic precision ⋮ A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system ⋮ Generalized pseudo-Butterworth refinable functions ⋮ A new method for the analysis of univariate nonuniform subdivision schemes ⋮ On convergent interpolatory subdivision schemes in Riemannian geometry ⋮ Analysis of some bivariate non-linear interpolatory subdivision schemes ⋮ Binary univariate dual and primal subdivision schemes ⋮ A new non-stationary binary 6-point subdivision scheme ⋮ Limits of level and parameter dependent subdivision schemes: a matrix approach ⋮ Improving smoothness and accuracy of modified butterfly subdivision scheme ⋮ Refinable functions, functionals, and iterated function systems ⋮ Reconstructions that combine interpolation with least squares fitting ⋮ Wavelet based reduced order models for microstructural analyses ⋮ A family of ternary subdivision schemes for curves ⋮ A combined ternary 4-point subdivision scheme ⋮ A variational approach to subdivision ⋮ Erratum: Symmetric iterative interpolation processes ⋮ An adaptive wavelet-vaguelette algorithm for the solution of PDEs ⋮ Statistical and geometrical way of model selection for a family of subdivision schemes ⋮ A new construction of boundary interpolating wavelets for fourth order problems ⋮ Regularity of non-stationary subdivision: a matrix approach ⋮ Construction of parametric biorthogonal wavelet filter banks with two parameters for image coding ⋮ The optimal coefficients in Daubechies wavelets ⋮ Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type ⋮ A new 5-point ternary interpolating subdivision scheme and its differentiability ⋮ Symmetry property and construction of wavelets with a general dilation matrix ⋮ Continuous and differentiable multidimensional iterative interpolation ⋮ Modified form of binary and ternary 3-point subdivision schemes ⋮ Non-stationary subdivision schemes for surface interpolation based on exponential polynomials ⋮ On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes ⋮ A family of stable nonlinear nonseparable multiresolution schemes in 2D ⋮ A unified framework for interpolating and approximating univariate subdivision ⋮ Scalar multivariate subdivision schemes and box splines ⋮ Polynomial-based non-uniform interpolatory subdivision with features control ⋮ Grid structure impact in sparse point representation of derivatives ⋮ The mask of (\(2b + 4\))-point \(n\)-ary subdivision scheme ⋮ Affine combination of B-spline subdivision masks and its non-stationary counterparts ⋮ Properties of dual pseudo-splines ⋮ Improved binary four point subdivision scheme and new corner cutting scheme ⋮ A \(C^6\) approximating subdivision scheme ⋮ Manifold-valued subdivision schemes based on geodesic inductive averaging ⋮ Interpolation in reproducing kernel Hilbert spaces based on random subdivision schemes ⋮ Polynomial reproduction by symmetric subdivision schemes ⋮ From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks ⋮ A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics ⋮ Interpolatory wavelets for manifold-valued data ⋮ Shape controlled interpolatory ternary subdivision ⋮ A family of subdivision schemes with cubic precision ⋮ Nonlinear subdivision through nonlinear averaging ⋮ Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms ⋮ A tree-based approach to joint spectral radius determination ⋮ Generalized interpolating refinable function vectors ⋮ Spline interpolation and wavelet construction ⋮ An interpolating 6-point \(C^2\) non-stationary subdivision scheme ⋮ On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation ⋮ Curve subdivision with arc-length control ⋮ Interpolatory subdivision schemes induced by box splines ⋮ On the use of wavelets in computational combustion ⋮ Multiscale computation with interpolating wavelets ⋮ Analysis and construction of multivariate interpolating refinable function vectors ⋮ Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement ⋮ Iterative polynomial interpolation and data compression ⋮ The refinability of the four point scheme ⋮ Shape preserving interpolatory subdivision schemes for nonuniform data ⋮ \(C^\infty\)-interpolation of discrete fields on regular and irregular grids ⋮ Smoothness estimates for soft-threshold denoising via translation-invariant wavelet transforms ⋮ Construction of biorthogonal discrete wavelet transforms using interpolatory splines
Cites Work
This page was built for publication: Symmetric iterative interpolation processes
