Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
ENO-Wavelet Transforms for Piecewise Smooth Functions
SIAM Journal on Numerical Analysis
Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing
Foundations of Computational Mathematics
Fifth-Order Weighted Power-ENO Schemes for Hamilton-Jacobi Equations
Journal of Scientific Computing
Nonlinear Harten's multiresolution on the quincunx pyramid
Journal of Computational and Applied Mathematics
Nonlinear wavelet transforms for image coding via lifting
IEEE Transactions on Image Processing
Oriented Wavelet Transform for Image Compression and Denoising
IEEE Transactions on Image Processing
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In this paper, we study nonlinear multiscale representations on ℝ2 which are interpolatory and based on non-diagonal dilation matrices, such as the quincunx matrix. A compression procedure is then introduced for that kind of representations while numerical experiments conclude the paper.