Nonlinear multiscale decompositions: The approach of A. Harten
From MaRDI portal
Publication:1569737
DOI10.1023/A:1019104118012zbMath0952.65015MaRDI QIDQ1569737
Publication date: 9 July 2000
Published in: Numerical Algorithms (Search for Journal in Brave)
Numerical methods for wavelets (65T60) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)
Related Items
Nonlinear Harten's multiresolution on the quincunx pyramid, Denoising using nonlinear multiscale representations, 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, A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations, 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, Image compression based on a multi-directional map-dependent algorithm, Pressure‐based adaption indicator for compressible euler equations, On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method, Non-separable local polynomial regression cell-average multiresolution operators. Application to compression of images, A family of non-oscillatory 6-point interpolatory subdivision schemes, A new class of nonlinear monotone Hermite interpolants, On a compact non-extrapolating scheme for adaptive image interpolation, Non-linear Local Polynomial Regression Multiresolution Methods Using $$\ell ^1$$-norm Minimization with Application to Signal Processing, On multiresolution schemes using a stencil selection procedure: applications to ENO schemes, Unnamed Item, Fast multiresolution algorithms and their related variational problems for image denoising, Point-value WENO multiresolution applications to stable image compression, Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator, 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-accuracy approximation of piecewise smooth functions using the Truncation and Encode approach, Non-separable two-dimensional weighted ENO interpolation, 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, Nonseparable multiresolution with error control., A fast Chebyshev's method for quadratic equations., A nonlinear Chaikin-based binary subdivision scheme, Weighted ENO interpolation and applications., Discrete multiresolution based on Hermite interpolation: computing derivatives., Generalized wavelets design using kernel methods. Application to signal processing, Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators, High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes, A review on the piecewise polynomial harmonic interpolation, On a family of nonlinear cell-average multiresolution schemes for image processing: an experimental study, Analysis of some bivariate non-linear interpolatory subdivision schemes, The PCHIP subdivision scheme, Non-consistent cell-average multiresolution operators with application to image processing, Reconstructions that combine interpolation with least squares fitting, 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, Denoising using linear and nonlinear multiresolutions II: cell‐average framework and color images, 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, 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, Denoising using linear and nonlinear multiresolutions, On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes, A family of stable nonlinear nonseparable multiresolution schemes in 2D, An adaptive version of a fourth-order iterative method for quadratic equations, New WENO smoothness indicators computationally efficient in the presence of corner discontinuities, Point values Hermite multiresolution for nonsmooth noisy signals, On the stability of the PPH nonlinear multiresolution, Data compression with ENO schemes: A case study, Adaptive Approximation of Nonlinear Operators, On a class of splines free of Gibbs phenomenon, Multiscale cell-based coarsening for discontinuous problems, Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms, On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation, Adaptive interpolation with maximum order close to discontinuities, On the approximation of rough functions with deep neural networks, Construction of nonlinear approximation schemes for piecewise smooth data, Cell average image transform algorithms with exact error control, A smoothness indicator for adaptive algorithms for hyperbolic systems, Explicit multivariate approximations from cell-average data, On the use of generalized harmonic means in image processing using multiresolution algorithms, On the application of Lehmer means in signal and image processing
