2020
DOI: 10.1016/j.net.2020.01.025
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Gamma spectrum denoising method based on improved wavelet threshold

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Cited by 51 publications
(27 citation statements)
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“…Different kinds of filters, based on the spatial or frequency domains of images, have been proposed in many works for the denoising of visible, infrared, computed tomography and magnetic resonance imaging [ 52 , 53 , 54 , 55 ]. Frequency domain-based filtering tools, also known as transform domain filtering tools [ 53 ], are applicable as digital signal processing tools in both the 1-D and 2-D domains.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Different kinds of filters, based on the spatial or frequency domains of images, have been proposed in many works for the denoising of visible, infrared, computed tomography and magnetic resonance imaging [ 52 , 53 , 54 , 55 ]. Frequency domain-based filtering tools, also known as transform domain filtering tools [ 53 ], are applicable as digital signal processing tools in both the 1-D and 2-D domains.…”
Section: Methodsmentioning
confidence: 99%
“…DWT depends on a threshold in order to differentiate between signal and noise. Discrete wavelet threshold denoising can be used to perform a multi-scale and multi-resolution analysis on noisy images with small root mean square errors and high signal-to-noise ratios; however, signal oscillations during hard threshold denoising, as well as constant deviations during soft threshold denoising, are inevitable in traditional wavelet threshold denoising methods [ 55 ]. In [ 53 ], the current image denoising methods, based on transform domain filtering, were reviewed and compared.…”
Section: Methodsmentioning
confidence: 99%
“…In fact, in engineering applications, since the analyzed signal is discrete, it is usually necessary to discretize the wavelet transform. The DWT (Discrete Wavelet Transform) can be calculated following ( 16 The basic principle of DWT decomposition is as follows: the original signal is continuously decomposed through high-pass and low-pass filters [17]. First, the original signal is passed through high-pass and low-pass filters to obtain high-frequency components (H1) and low-frequency components (L1).…”
Section: A Wavelet Threshold Denoisingmentioning
confidence: 99%
“…The image degradation concept can be described mathematically as x = y + n, where x is the degraded form of the original image y, and n is the added noise, generally referred as additive white Gaussian noise (AWGN) as shown in Figure 1. Methods of image denoising concentrate on restoring the denoised image y from its cross ponding noisy image x through eliminating or reducing noise n. To date, a denoising method that has given very satisfactory results is that based on first generation [6,7] and second generation wavelets such as curvelets [8,9] or contourlets [10,11]. These methods carry out a multiresolution analysis [12] or multiscale analysis for denoising an additive white and Gaussian noise.…”
Section: Introductionmentioning
confidence: 99%
“…Methods of image denoising concentrate on restoring the denoised image from its cross ponding noisy image through eliminating or reducing noise . To date, a denoising method that has given very satisfactory results is that based on first generation [ 6 , 7 ] and second generation wavelets such as curvelets [ 8 , 9 ] or contourlets [ 10 , 11 ]. These methods carry out a multiresolution analysis [ 12 ] or multiscale analysis for denoising an additive white and Gaussian noise.…”
Section: Introductionmentioning
confidence: 99%