EURASIP Journal on Advances in Signal Processing · 2004 · 77 citations · 21 references
ComputingComputer ScienceComputer VisionMachine LearningStatisticsDigital Image ProcessingDigital Signal ProcessingImage AnalysisImage ProcessingNoiseNoise ReductionImage Noise EstimationImage Noise ModelingImage Noise ReductionNoise EstimationSignal-to-noise RatioWavelet AnalysisWavelet DenoisingWavelet-based Analysis
The estimation of the standard deviation of noise contaminating an image is a fundamental step in wavelet-based noise reduction techniques. The method widely used is based on the mean absolute deviation (MAD). This model-based method assumes specific characteristics of the noise-contaminated image component. Three novel and alternative methods for estimating the noise standard deviation are proposed in this work and compared with the MAD method. Two of these methods rely on a preliminary training stage in order to extract parameters which are then used in the application stage. The sets used for training and testing, 13 and 5 images, respectively, are fully disjoint. The third method assumes specific statistical distributions for image and noise components. Results showed the prevalence of the training-based methods for the images and the range of noise levels considered.
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De-noising by soft-thresholding
David L. Donoho · IEEE Transactions on Information Theory · 1995 · 9.6K citations
Ideal spatial adaptation by wavelet shrinkage
David L. Donoho, Iain M. Johnstone · Biometrika · 1994 · 7.8K citations
Probability, Random Variables, and Stochastic Processes
Irwin Miller, Anthanasios Papoulis · Technometrics · 1966 · 6.5K citations
Engineering, Mathematics, Physics +14