2021
DOI: 10.1109/tip.2021.3049961
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Digital Image Noise Estimation Using DWT Coefficients

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Cited by 57 publications
(33 citation statements)
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“…where A represents the length of wavelet coefficients of the multilevel image, α represents the standard deviation of multilevel image noise [10], and T represents the image estimation threshold. In fact, the noise error of the image is unknown, so it is necessary to estimate and calculate the standard deviation of the noise from the noisy signal of the multilevel image; the expression is as follows:…”
Section: Multilevel Image Denoisingmentioning
confidence: 99%
“…where A represents the length of wavelet coefficients of the multilevel image, α represents the standard deviation of multilevel image noise [10], and T represents the image estimation threshold. In fact, the noise error of the image is unknown, so it is necessary to estimate and calculate the standard deviation of the noise from the noisy signal of the multilevel image; the expression is as follows:…”
Section: Multilevel Image Denoisingmentioning
confidence: 99%
“…In Step 1, the standard deviation of noise is evaluated using modified MAD estimator assuming the noise to follow Gaussian distribution. For better estimates, we modify the MAD estimator so that the diagonal elements in the HH sub‐band are eliminated, similar to the algorithm proposed by Pimpalkhute et al 8 In Step 2, the evaluated standard deviation of noise is corrected using the analytical expression that establishes the relationship between the GN and RN thus estimating the nonstationary parameters of noise. It should be noted that most estimation algorithms in the literature, including BURST algorithm, require multiple acquisitions or need additional information about the reconstruction process.…”
Section: Methodsmentioning
confidence: 99%
“…Spatially invariant Rician noise (RN) was widely accepted in literature as an appropriate model of noise in MRI. [6][7][8][9][10][11][12][13][14] The main assumption was a single coil MR acquisition; hence, in all the cases, the noise in the MRI is considered to be spatially homogeneous and hence a single value of noise standard deviation was sufficient to characterize the entire dataset. In the present MRI acquisition scenario, such presumptions certainly fail due to the complexity of fast imaging with multicoil for parallel imaging and reconstruction and local field inhomogeneities.…”
Section: Introductionmentioning
confidence: 99%
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“…Wavelet transform [22] has a powerful ability in data analysis and processing, which is developed to overcome the shortcomings of the Fourier transform. It has been successfully applied in many fields, such as signal processing, image processing, pattern recognition, and so on.…”
Section: Wavelet Transformmentioning
confidence: 99%