Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The Discrete Cosine Transform - MaRDI portal

The Discrete Cosine Transform

From MaRDI portal
Publication:4255828

DOI10.1137/S0036144598336745zbMath0939.42021OpenAlexW2018342351MaRDI QIDQ4255828

Gilbert Strang

Publication date: 27 June 1999

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036144598336745




Related Items (only showing first 100 items - show all)

Learning spectral windowing parameters for regularization using unbiased predictive risk and generalized cross validation techniques for multiple data setsDiscrete even Fourier-Weyl transforms of \(A_1 \times A_1\)Modal clustering of matrix-variate dataGrowth Factors of Random Butterfly Matrices and the Stability of Avoiding PivotingThe Spectral Decomposition of the Continuous and Discrete Linear Elasticity Operators with Sliding Boundary ConditionsPreconditioned Chebyshev BiCG method for parameterized linear systemsSome classes of tetradiagonal determinants via certain polynomial familiesSparse regularization with the ℓ0 normFast algorithms for perturbed Toeplitz-plus-Hankel system based on discrete cosine transform and their applicationsA first-order computational algorithm for reaction-diffusion type equations via primal-dual hybrid gradient methodPseudospectral Time-Domain (PSTD) Methods for the Wave Equation: Realizing Boundary Conditions with Discrete Sine and Cosine TransformsEstimators of fractal dimension: assessing the roughness of time series and spatial dataA SMOOTHING METHOD THAT LOOKS LIKE THE HODRICK–PRESCOTT FILTERThe polyharmonic local sine transform: a new tool for local image analysis and synthesis without edge effectNonparametric variogram and covariogram estimation with Fourier-Bessel matricesNumerical differentiation by a Tikhonov regularization method based on the discrete cosine transformOn a set of matrix algebras related to discrete Hartley-type transformsConvex object(s) characterization and segmentation using level set functionDiscrete and continuous sine transform generalized to semisimple Lie groups of rank twoOptimal preconditioning for image deblurring with anti-reflective boundary conditionsNatural graph wavelet packet dictionariesA strongly coupled immersed boundary method for fluid-structure interaction that mimics the efficiency of stationary body methodsA new method for Chebyshev polynomial interpolation based on cosine transformsPrincipal Component Analysis and Laplacian Splines: Steps Toward a Unified ModelOn a constant-diagonals matrixSpectral analysis of finite Markov chains with spherical symmetriesParameter choices for sparse regularization with the ℓ1 norm *An improved preconditioned LSQR for discrete ill-posed problemsDiscrete Fourier transform associated with generalized Schur polynomialsA high-order level-set method with enhanced stability for curvature driven flows and surface diffusion motionRadon transforms and lamplighter random walksFactorizations and representations of the backward second-order linear recurrencesCoupling image restoration and segmentation: a generalized linear model/Bregman perspectiveThree-dimensional steerable discrete cosine transform with application to 3D image compressionProperties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalizationA general selective averaging method for piecewise constant signal and image processingDiscrete cosine and sine transforms generalized to honeycomb latticeAnderson acceleration based on the \(\mathcal{H}^{- s}\) Sobolev norm for contractive and noncontractive fixed-point operatorsA pioneering study on discrete cosine transformComplexity reduction, self/completely recursive, radix-2 DCT I/IV algorithmsA peculiar permutation phenomenon arising from the singular vector entries of a special class of Toeplitz matricesHarmonic analysis of finite lamplighter random walksA Cheeger inequality for graphs based on a reflection principleAn integer approximation method for discrete sinusoidal transformsFast SGL Fourier transforms for scattered dataFinite difference discretization of the extended Fisher-Kolmogorov equation in two dimensionsInvertible integer DCT algorithmsKronecker product approximations for image restoration with whole-sample symmetric boundary conditionsSobolev duals for random frames and \(\varSigma \varDelta \) quantization of compressed sensing measurementsVertex-frequency analysis on graphsMysteries around the graph Laplacian eigenvalue 4A tutorial overview on the properties of the discrete cosine transform for encoded image and video processingA discrete Fourier transform associated with the affine Hecke algebraNon-convex total variation regularization for convex denoising of signalsAn explicit formula for the smoother weights of the Hodrick-Prescott filterPHLST with adaptive tiling and its application to Antarctic remote sensing image approximationThe Green’s function for the Hückel (tight binding) modelWeighted Inner Products for GMRES and GMRES-DRFast and stable schemes for phase fields modelsOrthogonal polynomial expansions on sparse gridsA unified approach to fast image registration and a new curvature based registration technique.Data analysis and representation on a general domain using eigenfunctions of Laplacian(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transformsDerivation and Analysis of Fast Bilinear Algorithms for ConvolutionNumerical approximation of solitary waves of the Benjamin equationDeflated preconditioned conjugate gradient methods for noise filtering of low-field MR imagesThe Fourier approximation of smooth but non-periodic functions from unevenly spaced dataRevision of the theory of tracer transport and the convolution model of dynamic contrast enhanced magnetic resonance imagingComplete radiation boundary conditions for the Helmholtz equation. I: WaveguidesStable extrapolation of analytic functionsLowest Complexity Self-Recursive Radix-2 DCT II/III AlgorithmsApproximation by GP box-splines on a four-direction meshData-driven tight frame construction and image denoisingTrigonometric transform splitting methods for real symmetric Toeplitz systemsSquare smoothing regularization matrices with accurate boundary conditionsRobust smoothing of gridded data in one and higher dimensions with missing valuesSuperfast Fourier transform using QTT approximationSignal flow graph approach to efficient and forward stable DST algorithmsAntireflective boundary conditions for deblurring problemsOn the Moore–Penrose inverse in solving saddle‐point systems with singular diagonal blocksFast and numerically stable algorithms for discrete cosine transformsProduct-type block preconditioners for electromagnetic cavity problemsAn uncertainty principle for finite framesA classification scheme for regularizing preconditioners, with application to Toeplitz systemsCubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groupsLayer-wise pre-training low-rank NMF model for mammogram-based breast tumor classificationPET-MRI Joint Reconstruction by Joint Sparsity Based Tight Frame RegularizationAnalysis of some projection method based preconditioners for models of incompressible flowA Spatial Filtering Approach to Biological PatterningOn the \(\ell^\infty\)-norms of the singular vectors of arbitrary powers of a difference matrix with applications to sigma-delta quantizationEfficient solution of block Toeplitz systems with multiple right-hand sides arising from a periodic boundary element formulationNumerical resonances for Schottky surfaces via Lagrange–Chebyshev approximationParallel preconditioners for large scale partial difference equation systemsSplitting with Near-Circulant Linear Systems: Applications to Total Variation CT and PETSignal processing on the permutahedron: tight spectral frames for ranked data analysisSignal Processing based on Stable radix-2 DCT I-IV Algorithms having Orthogonal FactorsAn improved uncertainty principle for functions with symmetryTensor-tensor products with invertible linear transformsCubature rules for unitary Jacobi ensemblesLinear filtering in DCT IV/DST IV and MDCT/MDST domain




This page was built for publication: The Discrete Cosine Transform