Multiresolution Representation of Data: A General Framework
From MaRDI portal
Publication:4887042
DOI10.1137/0733060zbMath0861.65130OpenAlexW2044084385MaRDI QIDQ4887042
Publication date: 23 July 1996
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0733060
General harmonic expansions, frames (42C15) Interpolation in approximation theory (41A05) Spline approximation (41A15) Algorithms for approximation of functions (65D15) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items
Nonlinear Harten's multiresolution on the quincunx pyramid, A low dissipation finite difference nested multi-resolution WENO scheme for Euler/Navier-Stokes equations, Generalized symmetric interpolating wavelets, A time self-adaptive multilevel algorithm for large eddy simulation., An adaptive high-order piecewise polynomial based sparse grid collocation method with applications, A wavelet-free approach for multiresolution-based grid adaptation for conservation laws, Wavelet adaptive proper orthogonal decomposition for large-scale flow data, Cell-average multiresolution based on local polynomial regression. application to image processing, On a nonlinear mean and its application to image compression using multiresolution schemes, Adaptive gradient-augmented level set method with multiresolution error estimation, A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations, High-order adaptive finite-volume schemes in the context of multiresolution analysis for dyadic grids, Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations, An algebraic variational multiscale-multigrid method for large eddy simulation of turbulent flow, Image compression based on a multi-directional map-dependent algorithm, An adaptive multiresolution method for combustion problems: application to flame ball-vortex interaction, Total variation wavelet thresholding, On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method, A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method, A one-time truncate and encode multiresolution stochastic framework, Non-separable local polynomial regression cell-average multiresolution operators. Application to compression of images, A family of non-oscillatory 6-point interpolatory subdivision schemes, An adaptive multiscale finite volume solver for unsteady and steady state flow computations, A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems, Fully adaptive multiscale schemes for conservation laws employing locally varying time stepping, On a compact non-extrapolating scheme for adaptive image interpolation, On multiresolution schemes using a stencil selection procedure: applications to ENO schemes, Adaptive multiresolution WENO schemes for multi-species kinematic flow models, Optimal representation of piecewise Hölder smooth bivariate functions by the easy path wavelet transform, Fast multiresolution algorithms and their related variational problems for image denoising, Iterative methods for computing the matrix square root, A conservative fully adaptive multiresolution algorithm for parabolic PDEs, The simplest decomposition of a turbulent field, Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms, Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities, On a nonlinear cell-average multiresolution scheme for image compression, An adaptive multiresolution method on dyadic grids: Application to transport equations, Nonseparable multiresolution with error control., A fast Chebyshev's method for quadratic equations., Adaptive rational interpolation for point values, A nonlinear Chaikin-based binary subdivision scheme, Construction of finite-dimensional multiresolutions based on linear subdivision schemes: application to the 4-point shifted Lagrange scheme, Discrete multiresolution based on Hermite interpolation: computing derivatives., Generalized wavelets design using kernel methods. Application to signal processing, A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes, Adaptive multiresolution approach for two-dimensional PDEs., Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators, High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters, A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes, High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes, An algebraic variational multiscale-multigrid method based on plain aggregation for convection-diffusion problems, A review on the piecewise polynomial harmonic interpolation, On a family of nonlinear cell-average multiresolution schemes for image processing: an experimental study, Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties, Analysis of some bivariate non-linear interpolatory subdivision schemes, Kernel-based adaptive approximation of functions with discontinuities, The PCHIP subdivision scheme, Non-consistent cell-average multiresolution operators with application to image processing, On an algorithm to adapt spline approximations to the presence of discontinuities, Vector cell-average multiresolution based on Hermite interpolation, Generalizing the ENO-DB\(2p\) transform using the inverse wavelet transform, An adaptive wavelet-vaguelette algorithm for the solution of PDEs, High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes, Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions, Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing, A fully adaptive multiresolution scheme for image processing, Some sets of indistinguishability operators as multiresolution families, Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques, \(N\)-dimensional error control multiresolution algorithms for the cell average discretization, On a class of three points cell-average multiresolution schemes, \(N\)-dimensional error control multiresolution algorithms for the point value discretization, A new type of multi-resolution WENO schemes with increasingly higher order of accuracy, Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux, On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes, A family of stable nonlinear nonseparable multiresolution schemes in 2D, Kriging-based subdivision schemes: application to the reconstruction of non-regular environmental data, New WENO smoothness indicators computationally efficient in the presence of corner discontinuities, Coherent vortex simulation of weakly compressible turbulent mixing layers using adaptive multiresolution methods, On the stability of the PPH nonlinear multiresolution, Wavelets and adaptive grids for the discontinuous Galerkin method, Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics, Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow, Stochastic discrete equation method (SDEM) for two-phase flows, The frenet frame beyond classical differential geometry: application to cartographic generalization of roads, Enforcing convergence of derivatives for \(L^\infty\) approximation of a regular curve, Interpolatory wavelets for manifold-valued data, Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms, A multilevel finite volume method with multiscale-based grid adaptation for steady compressible flows, Factoring wavelet transforms into lifting steps, Wavelet transforms that map integers to integers, On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation, ENO adaptive method for solving one-dimensional conservation laws, Adaptive interpolation with maximum order close to discontinuities, Smoothing for signals with discontinuities using higher order Mumford-Shah models, A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows, Construction of nonlinear approximation schemes for piecewise smooth data, Adaptive multiresolution approach for solution of hyperbolic PDEs, Cell average image transform algorithms with exact error control, Explicit multivariate approximations from cell-average data, Reconstruction of turbulent fluctuations using a hybrid RANS/LES approach., OPTIMALLY SPARSE IMAGE REPRESENTATION BY THE EASY PATH WAVELET TRANSFORM, On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards $C^{s}$ functions with $s>1$, Signal Denoising with Harten’s Multiresolution Using Interpolation and Least Squares Fitting, Extended generalized Lagrangian multipliers for magnetohydrodynamics using adaptive multiresolution methods, Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study, Non-linear Local Polynomial Regression Multiresolution Methods Using $$\ell ^1$$-norm Minimization with Application to Signal Processing, Approximation of inverse operators by a new family of high-order iterative methods, Unnamed Item, On a Power WENO Scheme with Improved Accuracy Near Discontinuities, A 2D prediction step using multiquadric local interpolation with adaptive parameter estimation for image compression, High-Order Multi-Resolution Weno Schemes with Lax-Wendroff Method for Fractional Differential Equations, A regularization-correction approach for adapting subdivision schemes to the presence of discontinuities, \(h\)-adaptation for high-order discontinuous Galerkin schemes built on local multiwavelet analysis, A hybrid adaptive multiresolution approach for the efficient simulation of reactive flows, High-accuracy approximation of piecewise smooth functions using the Truncation and Encode approach, An adaptive multiresolution method for parabolic PDEs with time-step control, Denoising using linear and nonlinear multiresolutions II: cell‐average framework and color images, A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws, Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws, High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes, Denoising using linear and nonlinear multiresolutions, A multilevel algorithm for large eddy simulation of turbulent compressible flows, An adaptive version of a fourth-order iterative method for quadratic equations, Point values Hermite multiresolution for nonsmooth noisy signals, Data compression with ENO schemes: A case study, Adaptive Approximation of Nonlinear Operators, Multiresolution Analysis for Minimal Energy C r -Surfaces on Powell-Sabin Type Meshes, On a class of splines free of Gibbs phenomenon, Numerical study of thermodiffusive flame structures interacting with adiabatic walls using an adaptive multiresolution scheme, Numerical study of thermodiffusive flame structures interacting with adiabatic walls using an adaptive multiresolution scheme, Comparison of Adaptive Multiresolution and Adaptive Mesh Refinement Applied to Simulations of the Compressible Euler Equations, On the construction of multiresolution analyses associated to general subdivision schemes, Adaptive numerical simulation of pulsating planar flames for large Lewis and Zeldovich ranges, Advance in RANS-LES coupling, a review and an insight on the NLDE approach, Adaptive multiresolution discontinuous Galerkin schemes for conservation laws, Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators, A Note On The Stability Of Eno Multiresolution, On the use of generalized harmonic means in image processing using multiresolution algorithms, On the application of Lehmer means in signal and image processing
