Search results for "sparse image"

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Experiments with an adaptive Bayesian restoration method

1989

Abstract This paper describes a Bayesian restoration method applied to two-dimensional measured images, whose detector response function is not completely known. The response function is assumed Gaussian with standard deviation depending on the estimate of the local density of the image. The convex hull of the K -nearest neighbours ( K NN) of each ‘on’ pixel is used to compute the local density. The method has been tested on ‘sparse’ images, with and without noise background.

Convex hullGaussianImage processingStandard deviationsymbols.namesakeArtificial IntelligenceBayesian restorationElectrical and Electronic EngineeringImage restorationK-nearest-neighbours algorithmMathematics1707PixelSettore INF/01 - Informaticabusiness.industryPattern recognitionsparse imageFunction (mathematics)Signal ProcessingsymbolsComputer Vision and Pattern RecognitionArtificial intelligenceDeconvolutionbusinessconvex hullSoftware
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Directionlets: Anisotropic Multidirectional representation with separable filtering

2006

In spite of the success of the standard wavelet transform (WT) in image processing in recent years, the efficiency of its representation is limited by the spatial isotropy of its basis functions built in the horizontal and vertical directions. One-dimensional (1-D) discontinuities in images (edges and contours) that are very important elements in visual perception, intersect too many wavelet basis functions and lead to a nonsparse representation. To efficiently capture these anisotropic geometrical structures characterized by many more than the horizontal and vertical directions, a more complex multidirectional (M-DIR) and anisotropic transform is required. We present a new lattice-based pe…

geometrysparse image representationMultiresolution analysisInformation Storage and RetrievalGeometryBasis functionDirectional vanishing momentsseparable filteringwaveletsWaveletmultiresolutionImage Interpretation Computer-AssistedComputer GraphicsCurveletComputer SimulationmultidirectionMathematicsStochastic ProcessesModels StatisticalMathematical analysisWavelet transformfilter banksNumerical Analysis Computer-AssistedSignal Processing Computer-AssistedImage EnhancementFilter bankComputer Graphics and Computer-Aided DesignContourletFilter designAnisotropyArtifactsdirectionletsAlgorithmsFiltrationSoftware
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