CN112991199A - Image high-low frequency decomposition noise removing method based on residual error dense network - Google Patents

Image high-low frequency decomposition noise removing method based on residual error dense network Download PDF

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CN112991199A
CN112991199A CN202110182091.5A CN202110182091A CN112991199A CN 112991199 A CN112991199 A CN 112991199A CN 202110182091 A CN202110182091 A CN 202110182091A CN 112991199 A CN112991199 A CN 112991199A
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刘晶
向朋霞
何帅
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Xian University of Technology
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Abstract

The invention discloses an image high-low frequency decomposition noise removing method based on a residual error dense network, which specifically comprises the following steps: step 1, acquiring an image to be trained; step 2, Gaussian noise is added to the image to be trained in the step 1, and an image pair X is constructed; step 3, respectively using the image to be trained in the step 1 and the noise data set obtained in the step 2 to obtain corresponding high-frequency image training samples and low-frequency image training samples by using a high-pass filter; step 4, respectively inputting the high-frequency image training sample and the low-frequency image training sample obtained in the step 3 into a residual dense network for training, and respectively obtaining a high-frequency image with noise removed and a low-frequency image with noise removed; and 5, adding the high-frequency image and the low-frequency image which are obtained in the step 4 and subjected to noise removal in a one-to-one correspondence mode to obtain a denoised whole image. The method solves the problems that edge information is fuzzy and artifacts are easy to generate after image denoising in the prior art.

Description

Image high-low frequency decomposition noise removing method based on residual error dense network
Technical Field
The invention belongs to the technical field of image processing methods, and relates to an image high-low frequency decomposition noise removing method based on a residual error dense network.
Background
Due to the influence of various factors such as imaging equipment, an image is interfered by noise in the imaging or sensing process, so that subsequent tasks such as image segmentation and target identification are influenced and cannot be smoothly carried out. For example, when public monitoring equipment is used for determining a criminal suspect, the noise of an image makes it very difficult to distinguish the facial features of the criminal suspect; the imaging pixels of small target objects in the remote sensing image are fewer, and the small target objects in the image are not well recognized due to the existence of noise. In view of the above circumstances, how to accurately remove image noise and protect the original image details from being damaged while removing the image noise becomes a problem to be solved urgently.
Disclosure of Invention
The invention aims to provide an image high-low frequency decomposition noise removing method based on a residual error dense network, and solves the problems that in the prior art, edge information is fuzzy after image denoising and artifacts are prone to being generated.
The invention adopts the technical scheme that the image high-low frequency decomposition noise removing method based on the residual error dense network specifically comprises the following steps:
step 1, acquiring an image to be trained;
step 2, Gaussian noise is added to the image to be trained in the step 1, and an image pair X is constructed;
step 3, respectively using the image to be trained in the step 1 and the noise data set obtained in the step 2 to obtain corresponding high-frequency image training samples and low-frequency image training samples by using a high-pass filter;
step 4, respectively inputting the high-frequency image training sample and the low-frequency image training sample obtained in the step 3 into a residual dense network for training, and respectively obtaining a high-frequency image with noise removed and a low-frequency image with noise removed;
and 5, adding the high-frequency image subjected to noise removal and the low-frequency image subjected to noise removal obtained in the step 4 in a one-to-one correspondence manner to obtain a denoised whole image.
The invention is also characterized in that:
the specific process of the step 1 is as follows:
selecting A training sample images to form a training sample image set, randomly selecting m images from the training sample image set, and randomly cutting i pictures with the size of n multiplied by n from each picture to obtain m multiplied by i pictures with the size of n multiplied by n.
The specific process of the step 2 is as follows:
step 2.1, copying the m multiplied by i pictures processed in the step 1, and adding the same Gaussian noise to each copied picture to obtain an artificial noise picture;
and 2.2, the images without noise in the step 1 and the images with noise in the step 2.1 are in one-to-one correspondence to form m × i image pairs, wherein the m × i image pairs X are { noise _ img, clean _ img }, and the noise _ img and the clean _ img respectively represent the images with noise and the images without noise.
The specific process of adding gaussian noise in step 2.1 is as follows:
step A, the probability density of Gaussian noise follows Gaussian distribution, as shown in formula (1):
Figure BDA0002942403910000021
wherein u is mean and sigma is standard deviation sigma;
step B, setting parameters mean to be 0 and sigma to be 30, and generating a Gaussian random number according to Gaussian distribution, namely a formula (1);
step C, adding the random number which is in accordance with Gaussian distribution in the step B to each pixel in each copied image to obtain an output pixel, namely the output pixel is the input pixel plus the Gaussian random number, and limiting or scaling the value of the output pixel between [ 0-255 ];
and D, repeating the steps B to C until all pixels of the whole image without the noise are circulated, and obtaining an output image, wherein the output image is an artificial noise image.
The specific process of the step 3 is as follows:
step 3.1, obtaining m × i high-frequency image pairs X by passing m × i image pairs X ═ { noised _ img, clean _ img } in step 2.2 through a high-pass filterhighHigh-frequency image training samples, where non _ img _ high and clean _ img _ high represent the high-frequency image of the noise image and the high-frequency image without noise, respectively;
Step 3.2, matching the m × i image pairs X ═ n _ img, clear _ img in step 2.2 with the m × i high-frequency image pairs X obtained in step 3.1highSubtracting { noised _ img _ high, clean _ img _ high } in one-to-one correspondence to obtain m × i low-frequency image pairs XlowAnd { noise _ img _ low, clean _ img _ low }, i.e., low-frequency image training samples, wherein noise _ img _ low and clean _ img _ low represent low-frequency images of a noisy image and a non-noisy image, respectively.
The specific process of the step 4 is as follows:
step 4.1, inputting the high-frequency image training sample into a residual error dense network for training to obtain a high-frequency image with noise removed;
and 4.2, inputting the low-frequency image training sample into a residual error dense network for training to obtain a low-frequency image with noise removed.
The specific process of the step 4.1 is as follows:
step 4.1.1, m × i high-frequency images in step 3.1 are paired with XhighInputting the obtained signals into a residual error dense network for feature extraction to obtain spatial features of the high-frequency training image;
step 4.1.2, inputting the spatial characteristics of the high-frequency image obtained in the step 4.1.1 into a dense block of a residual dense network for training, and setting an image loss function as a pixel-by-pixel loss function MSElossWhen the loss function reaches a minimum, the high-frequency image is output as shown in the following equation (2):
Figure BDA0002942403910000041
wherein x represents a high-frequency noise image, y represents a high-frequency image without noise, F (x) represents a denoised high-frequency image obtained by the high-frequency noise image through residual error dense network training, and C, W, H represents the channel, width and height of the high-frequency image pair (x, y) respectively;
and 4.1.3, reconstructing the high-frequency image output in the step 4.1.2 from the space characteristic through a deconvolution layer of a residual dense network to the image characteristic, and obtaining the denoised high-frequency image.
The specific process of the step 4.2 is as follows:
step 4.2.1, m × i low-frequency images in step 3.2 are paired with XlowInputting the obtained result into a residual error dense network for feature extraction to obtain spatial features of the low-frequency training image;
step 4.2.2, inputting the spatial characteristics of the low-frequency image obtained in the step 4.2.1 into a dense block of a residual dense network for training, and setting an image loss function as a pixel-by-pixel loss function MSEloss /When the loss function reaches a minimum, the low-frequency image is output as shown in the following equation (3):
Figure BDA0002942403910000042
wherein x ' represents a low-frequency noise image, y ' represents a low-frequency image without noise, F ' (x ') represents a denoised low-frequency image obtained by the low-frequency noise image through residual dense network training, and C ', W ' and H ' represent the channel, width and height of the low-frequency image pair (x ', y ') respectively;
and 4.2.3, reconstructing the low-frequency image output in the step 4.2.2 from the spatial features through a deconvolution layer of a residual dense network back to image features to obtain a denoised low-frequency image.
The invention has the following beneficial effects:
(1) the image noise removing method is mainly based on the residual error dense network for training and image generation, and can remove image noise to the maximum extent and protect the complex edge information of the image;
(2) the image noise removing method can provide a good preprocessing operation for the follow-up research of image segmentation, target detection and identification;
(3) the image noise removing method adopts high-low frequency decomposition, and trains in different degrees aiming at the multiple noise of the high-frequency image and the less noise of the low-frequency image, so that the noise can be removed more thoroughly, and the result is more ideal.
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FIG. 1 is a general flow chart of the image high and low frequency decomposition noise removing method based on the residual error dense network of the present invention;
FIG. 2 is a structure of a residual dense network in the method for removing high and low frequency decomposition noise of an image based on the residual dense network of the present invention;
FIG. 3 is a network structure diagram of a residual error dense module (RDB) in the image high and low frequency decomposition noise removal method network based on the residual error dense network of the present invention;
FIG. 4 is a denoising map of an embodiment of the image high and low frequency decomposition noise removing method based on the residual error dense network.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
The invention discloses an image high-low frequency decomposition noise removing method based on a residual error dense network, which specifically comprises the following steps as shown in figure 1:
step 1, acquiring an image to be trained;
the specific process of the step 1 is as follows:
selecting A training sample images to form a training sample image set, randomly selecting m images from the training sample image set, and randomly cutting i pictures with the size of n multiplied by n from each picture to obtain m multiplied by i pictures with the size of n multiplied by n.
Step 2, Gaussian noise is added to the image to be trained in the step 1, and an image pair X is constructed;
the specific process of the step 2 is as follows:
step 2.1, copying the m multiplied by i pictures processed in the step 1, and adding the same Gaussian noise to each copied picture to obtain an artificial noise picture;
the specific process of adding gaussian noise in step 2.1 is as follows:
step A, the probability density of Gaussian noise follows Gaussian distribution (normal distribution), and is shown in formula (1):
Figure BDA0002942403910000061
wherein u is mean and sigma is standard deviation sigma; when noise is added to an image, an operation is performed on all pixels of the image. The image without noise added in the input program is added with a random number conforming to a gaussian distribution for each pixel of the input image, and an output pixel is obtained, that is, the output pixel is equal to the input pixel + the gaussian random number.
Step B, setting parameters mean to be 0 and sigma to be 30, and generating a Gaussian random number according to Gaussian distribution (normal distribution), namely a formula (1);
step C, adding each pixel in each copied image to the random number which accords with Gaussian distribution in the step B to obtain an output pixel, and limiting or scaling the value of the output pixel between 0 and 255;
and D, repeating the steps B to C until all pixels of the whole image without the noise are circulated, and obtaining an output image, wherein the output image is an artificial noise image.
And 2.2, the images without noise in the step 1 and the images with noise in the step 2.1 are in one-to-one correspondence to form m × i image pairs, wherein the m × i image pairs X are { noise _ img, clean _ img }, and the noise _ img and the clean _ img respectively represent the images with noise and the images without noise.
Step 3, respectively using the image to be trained in the step 1 and the noise data set obtained in the step 2 to obtain corresponding high-frequency image training samples and low-frequency image training samples by using a high-pass filter;
the specific process of the step 3 is as follows:
step 3.1, obtaining m × i high-frequency image pairs X by passing m × i image pairs X ═ { noised _ img, clean _ img } in step 2.2 through a high-pass filterhighThe method comprises the steps of (non _ img _ high, clean _ img _ high), namely high-frequency image training samples, wherein the non _ img _ high and the clean _ img _ high respectively represent a high-frequency image of a noise image and a high-frequency image without noise;
step 3.2, dividing the m × i image pairs X in step 2.2 into X{ noised _ img, clean _ img } pairs of m × i high-frequency images X obtained in step 3.1highSubtracting { noised _ img _ high, clean _ img _ high } in one-to-one correspondence to obtain m × i low-frequency image pairs XlowAnd { noise _ img _ low, clean _ img _ low }, i.e., low-frequency image training samples, wherein noise _ img _ low and clean _ img _ low represent low-frequency images of a noisy image and a non-noisy image, respectively.
Step 4, respectively inputting the high-frequency image training sample and the low-frequency image training sample obtained in the step 3 into a residual dense network for training, and respectively obtaining a high-frequency image with noise removed and a low-frequency image with noise removed;
step 4.1, inputting the high-frequency image training sample into a residual error dense network for training to obtain a high-frequency image with noise removed;
and (3) inputting the noisy high-frequency layer image noised _ img _ high and the non-noisy high-frequency layer image clean _ img _ high into the residual error dense network in the step (3.1). The high-frequency image with noise is calculated by a network, and specifically comprises the following steps: the method comprises the steps of firstly passing through two convolution modules, then passing through 3 residual error dense (RDB) modules, and finally passing through a deconvolution module and a Tanh module, and outputting a denoised clean image with the same size as an input image. The residual dense network is shown in fig. 2, and the specific implementation process is as follows.
And 4.1.1, performing feature extraction on the high-frequency image with the noise through two convolution modules, thereby obtaining the spatial features of the high-frequency training image. The two convolutional layer structures are shown in the first two convolutions in fig. 2, where Conv, k7, n32, s1 denote convolution operations, where the convolution kernel size is 7 × 7, the number of convolution kernels is 32, and the step size s is set to 1; conv, k5, n64 and s2 represent convolution operations, the size of a convolution kernel is 5 multiplied by 5, the number of the convolution kernels is 64, and the step size s is set to be 2; BN represents the Batch Normalizanti normalization operation.
And 4.1.2, inputting the high-frequency image space characteristics obtained in the step 4.1.1 into 3 dense blocks in a residual dense network for training, and reducing the alternation of loss functions to achieve the image denoising effect. The specific structure of the dense block is shown in fig. 3, where ConvBlock1-ConvBlock6 respectively represent 6 convolution operations, Conv, k3, n32, and s1 represent convolution operations, the size of a convolution kernel is 3 × 3, the number of convolution kernels is 32, and the step size s is set to 1. The image feature transfer process in the network structure is represented as formula (2):
Fn=ReLU(Wn[F0,F1,......,Fn-1]),n∈{1,2,3,4,5,6} (2);
in the formula (2), F0F1,...Fn-1Each representing the output, W, of each ConvBlocknRepresents the weight parameter in each ConvBlock, ReLU represents a non-linear activation function, and Concat represents F0,F1,...Fn-1Connected with each other in the third channel direction, and subjected to Conv, k1, s1 convolution operation to enable F7And F0The number of channels of (2) is the same, and finally F7And F0The two tensors are added to output F8I.e. the output of one RDB. The loss function used in the invention is a pixel-by-pixel loss function MSElossSpecifically, the calculation is as in formula (3), the size of the loss function can be monitored in the training process, and the loss function gradually decreases with the increase of the training times, but overfitting of the image is caused by excessive training, so that the loss function becomes larger. When the loss function reaches the minimum, the network model required by the invention is obtained, and at the moment, the high-frequency image is output;
Figure BDA0002942403910000091
wherein x represents a high-frequency noise image, y represents a high-frequency image without noise, f (x) represents a denoised high-frequency image obtained by the high-frequency noise image through residual error dense network training, and C, W, H represents the channel, width and height of the high-frequency image pair (x, y), respectively.
And 4.1.3, reconstructing the space characteristics of the high-frequency image denoised in the step 4.1.2 back to the original image characteristics through deconvolution to obtain the denoised high-frequency image. Specifically, the convolution is implemented by the last two convolution layers in fig. 2, where Conv, k5, n32, s1/2 represent deconvolution operation, the size of deconvolution kernel is 5 × 5, the number of deconvolution kernels is 32, the step size is 1/2, Conv, k7, n3, s1 represent convolution operation, the size of convolution kernel is 7 × 7, the number of convolution kernels is 3, and the step size s is 1; tanh represents a nonlinear activation function.
Step 4.2, inputting the low-frequency image training sample into a residual dense network for training to obtain a low-frequency image with noise removed;
and (3) inputting the noisy low-frequency layer image noised _ img _ low and the noiseless low-frequency layer image clean _ img _ low in the step (3.2) into the residual error dense network. The high-frequency image with noise is calculated by a network, and specifically comprises the following steps: the method comprises the steps of firstly passing through two convolution modules, then passing through 3 residual error dense (RDB) modules, and finally passing through a deconvolution module and a Tanh module, and outputting a denoised clean image with the same size as an input image. The residual dense network is shown in fig. 2, and the specific implementation process is as follows.
And 4.2.1, performing feature extraction on the low-frequency image with the noise through two convolution modules, thereby obtaining the spatial features of the low-frequency training image. The two convolutional layer structures are shown in the first two convolutions in fig. 2, where Conv, k7, n32, s1 denote convolution operations, where the convolution kernel size is 7 × 7, the number of convolution kernels is 32, and the step size s is set to 1; conv, k5, n64 and s2 represent convolution operations, the size of a convolution kernel is 5 multiplied by 5, the number of the convolution kernels is 64, and the step size s is set to be 2; BN represents the Batch Normalizanti normalization operation.
And 4.2.2, inputting the spatial characteristics of the low-frequency image obtained in the step 4.2.1 into 3 dense blocks in the residual dense network for training, and reducing the alternation of the loss function to achieve the image denoising effect. The specific structure of the dense block is shown in fig. 3, where ConvBlock1-ConvBlock6 respectively represent 6 convolution operations, Conv, k3, n32, and s1 represent convolution operations, the size of a convolution kernel is 3 × 3, the number of convolution kernels is 32, and the step size s is set to 1. The image feature transfer process in the network structure is represented as formula (2):
Fn=ReLU(Wn[F0,F1,......,Fn-1]),n∈{1,2,3,44,5,6} (2);
in the formula, F0,F1,...Fn-1Each representing the output, W, of each ConvBlocknRepresents the weight parameter in each ConvBlock, ReLU represents a non-linear activation function, and Concat represents F0,F1,...Fn-1Connected with each other in the third channel direction, and subjected to Conv, k1, s1 convolution operation to enable F7And F0The number of channels of (2) is the same, and finally F7And F0The two tensors are added to output F8I.e. the output of one RDB. The loss function we use is the pixel-wise loss function MSEloss /Specifically, the calculation is as in formula (4), the size of the loss function can be monitored in the training process, and the loss function gradually decreases with the increase of the training times, but overfitting of the image is caused by excessive training, so that the loss function becomes larger. When the loss function reaches the minimum, the network model required by the invention is obtained, and the low-frequency image is output:
Figure BDA0002942403910000101
wherein x ' represents a low-frequency noise image, y ' represents a low-frequency image without noise, F ' (x ') represents a denoised low-frequency image obtained by the low-frequency noise image through residual dense network training, and C ', W ' and H ' represent the channel, width and height of the low-frequency image pair (x ', y ') respectively;
and 4.2.3, reconstructing the space characteristics of the low-frequency image denoised in the step 4.2.2 back to the original image characteristics through deconvolution to obtain the denoised high-frequency image. Specifically, it is implemented by the last two convolutional layers of fig. 2, where Conv, k5, n32, s1/2, represents the deconvolution operation, the size of the deconvolution kernel is 5 × 5, the number of deconvolution kernels is 32, the step size is 1/2, Conv, k7, n3, s1 represents the convolution operation, the size of the convolution kernel is 7 × 7, the number of convolution kernels is 3, and the step size s is 1; tanh represents a nonlinear activation function.
The specific operation in the step 5 is as follows:
and (4) correspondingly adding the denoised high-frequency image and the denoised low-frequency image obtained in the steps 4.1.3 and 4.2.3 one by one to obtain a final denoised image.
And finally, after training data is finished, the loss function reaches the minimum to obtain a trained network, respectively inputting the high-frequency layer test data into the model generated in the step 4.1 to obtain a denoised high-frequency layer image and inputting the low-frequency layer test data into the model generated in the step 4.2 to obtain a denoised low-frequency image according to the test set data preprocessed in the steps 1, 2 and 3. And 5, obtaining the whole de-noised image. Fig. 4 shows a denoised image obtained by processing a noise image through a network.

Claims (8)

1. A method for removing high and low frequency decomposition noise of an image based on a residual error dense network is characterized by comprising the following steps: the method specifically comprises the following steps:
step 1, acquiring an image to be trained;
step 2, Gaussian noise is added to the image to be trained in the step 1, and an image pair X is constructed;
step 3, respectively using the image to be trained in the step 1 and the noise data set obtained in the step 2 to obtain corresponding high-frequency image training samples and low-frequency image training samples by using a high-pass filter;
step 4, respectively inputting the high-frequency image training sample and the low-frequency image training sample obtained in the step 3 into a residual dense network for training, and respectively obtaining a high-frequency image with noise removed and a low-frequency image with noise removed;
and 5, adding the high-frequency image subjected to noise removal and the low-frequency image subjected to noise removal obtained in the step 4 in a one-to-one correspondence manner to obtain a denoised whole image.
2. The method for removing the high and low frequency decomposition noise of the image based on the residual error dense network as claimed in claim 1, wherein: the specific process of the step 1 is as follows:
selecting A training sample images to form a training sample image set, randomly selecting m images from the training sample image set, and randomly cutting i pictures with the size of n multiplied by n from each picture to obtain m multiplied by i pictures with the size of n multiplied by n.
3. The method according to claim 2, wherein the method for removing the noise in the image decomposition comprises: the specific process of the step 2 is as follows:
step 2.1, copying the m multiplied by i pictures processed in the step 1, and adding the same Gaussian noise to each copied picture to obtain an artificial noise picture;
and 2.2, the images without noise in the step 1 and the images with noise in the step 2.1 are in one-to-one correspondence to form m × i image pairs, wherein the m × i image pairs X are { noise _ img, clean _ img }, and the noise _ img and the clean _ img respectively represent the images with noise and the images without noise.
4. The method according to claim 3, wherein the method for removing the noise in the image decomposition comprises: the specific process of adding gaussian noise in step 2.1 is as follows:
step A, the probability density of Gaussian noise follows Gaussian distribution, as shown in formula (1):
Figure FDA0002942403900000021
wherein u is mean and sigma is standard deviation sigma;
step B, setting parameters mean to be 0 and sigma to be 30, and generating a Gaussian random number according to Gaussian distribution, namely a formula (1);
step C, adding the random number which is in accordance with Gaussian distribution in the step B to each pixel in each copied image to obtain an output pixel, namely the output pixel is the input pixel plus the Gaussian random number, and limiting or scaling the value of the output pixel between [ 0-255 ];
and D, repeating the steps B to C until all pixels of the whole image without the noise are circulated, and obtaining an output image, wherein the output image is an artificial noise image.
5. The method according to claim 3, wherein the method for removing the noise in the image decomposition comprises: the specific process of the step 3 is as follows:
step 3.1, obtaining m × i high-frequency image pairs X by passing m × i image pairs X ═ { noised _ img, clean _ img } in step 2.2 through a high-pass filterhighThe method comprises the steps of (non _ img _ high, clean _ img _ high), namely high-frequency image training samples, wherein the non _ img _ high and the clean _ img _ high respectively represent a high-frequency image of a noise image and a high-frequency image without noise;
step 3.2, matching the m × i image pairs X ═ n _ img, clear _ img in step 2.2 with the m × i high-frequency image pairs X obtained in step 3.1highSubtracting { noised _ img _ high, clean _ img _ high } in one-to-one correspondence to obtain m × i low-frequency image pairs XlowAnd { noise _ img _ low, clean _ img _ low }, i.e., low-frequency image training samples, wherein noise _ img _ low and clean _ img _ low represent low-frequency images of a noisy image and a non-noisy image, respectively.
6. The method according to claim 5, wherein the method for removing the noise in the image decomposition comprises: the specific process of the step 4 is as follows:
step 4.1, inputting the high-frequency image training sample into a residual error dense network for training to obtain a high-frequency image with noise removed;
and 4.2, inputting the low-frequency image training sample into a residual error dense network for training to obtain a low-frequency image with noise removed.
7. The method according to claim 6, wherein the method for removing the noise in the image decomposition comprises: the specific process of the step 4.1 is as follows:
step 4.1.1, m × i high-frequency images in step 3.1 are paired with XhighInputting the parameters { noised _ img _ high, clean _ img _ high } into a residual error dense network for feature extraction, thereby obtaining high-frequency trainingSpatial features of the image;
step 4.1.2, inputting the spatial characteristics of the high-frequency image obtained in the step 4.1.1 into a dense block of a residual dense network for training, and setting an image loss function as a pixel-by-pixel loss function MSElossWhen the loss function reaches a minimum, the high-frequency image is output as shown in the following equation (2):
Figure FDA0002942403900000041
wherein x represents a high-frequency noise image, y represents a high-frequency image without noise, F (x) represents a denoised high-frequency image obtained by the high-frequency noise image through residual error dense network training, and C, W, H represents the channel, width and height of the high-frequency image pair (x, y) respectively;
and 4.1.3, reconstructing the high-frequency image output in the step 4.1.2 from the space characteristic through a deconvolution layer of a residual dense network to the image characteristic, and obtaining the denoised high-frequency image.
8. The method according to claim 6, wherein the method for removing the noise in the image decomposition comprises: the specific process of the step 4.2 is as follows:
step 4.2.1, m × i low-frequency images in step 3.2 are paired with XlowInputting the obtained result into a residual error dense network for feature extraction to obtain spatial features of the low-frequency training image;
step 4.2.2, inputting the spatial characteristics of the low-frequency image obtained in the step 4.2.1 into a dense block of a residual dense network for training, and setting an image loss function as a pixel-by-pixel loss function MSEloss /When the loss function reaches a minimum, the low-frequency image is output as shown in the following equation (3):
Figure FDA0002942403900000042
wherein x ' represents a low-frequency noise image, y ' represents a low-frequency image without noise, F ' (x ') represents a denoised low-frequency image obtained by the low-frequency noise image through residual dense network training, and C ', W ' and H ' represent the channel, width and height of the low-frequency image pair (x ', y ') respectively;
and 4.2.3, reconstructing the low-frequency image output in the step 4.2.2 from the spatial features through a deconvolution layer of a residual dense network back to image features to obtain a denoised low-frequency image.
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