CN114972802A - Hyperspectral image recovery method and system based on hybrid supervision model - Google Patents

Hyperspectral image recovery method and system based on hybrid supervision model Download PDF

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CN114972802A
CN114972802A CN202210401601.8A CN202210401601A CN114972802A CN 114972802 A CN114972802 A CN 114972802A CN 202210401601 A CN202210401601 A CN 202210401601A CN 114972802 A CN114972802 A CN 114972802A
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付莹
李妙宇
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Abstract

The invention relates to a hyperspectral image recovery method and system based on a hybrid supervision model, and belongs to the technical field of computational camera shooting. Firstly, a supervised hyperspectral image data set is constructed according to a hyperspectral image degradation model and parameters. And then constructing a hyperspectral recovery network, and training the network by using a supervised hyperspectral image dataset. An unsupervised loss function based on the noise estimate is then established. And finally, using the network parameters obtained by supervised learning as initial values of the network, inputting the degraded hyperspectral image into the network, and optimizing by using an unsupervised loss function. The method recovers the degraded hyperspectral image through the depth network to obtain a clear and complete hyperspectral image, and can effectively solve the problem that the network is inconsistent in the performance of training data and test data. According to the method, the noise in the hyperspectral degraded process is evaluated through Stent unbiased estimation, so that the network has robustness on noise input, and high-quality recovery of degraded hyperspectral images is realized.

Description

Hyperspectral image recovery method and system based on hybrid supervision model
Technical Field
The invention relates to a hyperspectral image recovery method and system based on a hybrid supervision model, and belongs to the technical field of computational camera shooting.
Background
The hyperspectral image contains abundant spatial information and spectral information and is widely applied to the fields of vegetation ecology, atmospheric environment, geological mineral products, oceans, military affairs and the like. However, due to the influence of the external environment and the limitation of the equipment of the instrument, the hyperspectral image often suffers from various degradation problems, such as noise, undersampling or data missing. These degradation problems severely affect the subsequent utilization of the hyperspectral image.
The hyperspectral recovery method can recover a high-quality hyperspectral image from a low-quality hyperspectral image, and becomes a necessary preprocessing means for hyperspectral image application.
The hyperspectral image recovery method generally comprises two types, one type is a traditional image recovery method, and the other type is an image recovery method based on deep learning. The traditional hyperspectral image recovery method utilizes various priori knowledge to optimize and solve the high-quality hyperspectral image. For example, Yongyong Chen et al uses a low-rank matrix to solve the hyperspectral denoising problem; lizhi Wang et al restore a hyperspectral image from a compressed sensing image by using non-local sparse representation; xiaolin Han et al restored high resolution hyperspectral images from low resolution hyperspectral images using non-factorized sparse representation and dictionary learning. These traditional methods rely on manually extracted features, which, while effectively taking into account spectral characteristics, often require iterative solution of complex optimization problems, resulting in a lengthy recovery process.
The hyperspectral recovery method based on deep learning has a good effect in recent years. However, although the supervised learning based deep network can automatically learn deep features from a large amount of data to perform image restoration, due to the distribution gap between training data and test data, the hyperspectral restoration network learned under the data driving is not as good as the training data in the test data. In addition, the presence of random additive noise makes this performance gap large. On the other hand, although the feature representation can also be learned from a single hyperspectral image in the unsupervised deep network, the training result depends on the initial value of the network and has instability, and meanwhile, the method usually needs to consume a large amount of time for iterative optimization.
Disclosure of Invention
The invention aims to overcome the defects and shortcomings of the prior art and creatively provides a hyperspectral image recovery method and system based on a hybrid supervision model. According to the invention, through the deep network, external information from a large-scale hyperspectral data set and internal information from a target degraded hyperspectral can be effectively utilized, and a better recovery effect is obtained.
The invention is realized by adopting the following technical scheme.
A hyperspectral image recovery method based on a hybrid supervision model comprises the following steps:
step 1: and constructing a supervised hyperspectral image data set according to the hyperspectral image degradation model and the parameters.
Specifically, the hyperspectral image training data set is constructed according to hyperspectral degradation model parameters and noise parameters aiming at different hyperspectral degradation tasks.
The hyperspectral image training dataset comprises: and the pair data set is formed by the noise degraded hyperspectral image and the noise-free original hyperspectral image. The hyperspectral degradation model is uniformly expressed as:
y=Φx+η (1)
wherein y is the degraded hyperspectral image, x is the original hyperspectral image, phi is the degradation matrix, and eta is additive Gaussian noise.
Step 2: and constructing a hyperspectral recovery network, and training the network by using a supervised hyperspectral image data set.
In particular, the present invention trains the network using pairwise hyperspectral datasets, learning the network to external prior knowledge. Training function
Figure BDA0003600294450000021
As follows:
Figure BDA0003600294450000022
wherein the subscript ex indicates that the data information is from non-recoveryHyperspectrum of the compound target.
Figure BDA0003600294450000023
Represents the ith pair of hyperspectral data,
Figure BDA0003600294450000024
representing the ith original hyperspectral image,
Figure BDA0003600294450000025
is shown to pass through
Figure BDA0003600294450000026
Adding noise to obtain an ith degraded hyperspectral image; n represents the total number of hyperspectral datasets;
Figure BDA0003600294450000027
representing a hyperspectral recovery network with a parameter w ex
And step 3: an unsupervised loss function based on the noise estimate is established.
Specifically, the unsupervised loss function uses a loss function based on a Stent Unbiased Risk Estimate (SURE) and a Total Variation (TV). And evaluating the noise suffered by the hyperspectral degraded process through the Stent unbiased risk estimation.
Wherein the Stent unbiased estimation
Figure BDA0003600294450000028
Expressed as:
Figure BDA0003600294450000029
wherein the content of the first and second substances,
Figure BDA0003600294450000031
an estimation function for a hyperspectral degraded image y is represented, and σ is represented as the noise intensity. N represents the total number of hyperspectral datasets.
Figure BDA0003600294450000032
Estimate, y, representing the position of the ith degraded hyperspectral pixel i Representing the true value of the i-th degraded hyperspectral pixel,
Figure BDA0003600294450000033
representing a differential operator.
Total variation loss function
Figure BDA0003600294450000034
Expressed as:
Figure BDA0003600294450000035
wherein the content of the first and second substances,
Figure BDA0003600294450000036
is a differential operator;
Figure BDA0003600294450000037
representing a hyperspectral recovery network with a parameter w in 。y in And representing a degraded hyperspectral image, and in representing that data information comes from a recovery target hyperspectral.
Joint unsupervised loss functions
Figure BDA0003600294450000038
Is shown as
Figure BDA0003600294450000039
Wherein λ is a weighting factor.
And 4, step 4: and (3) using the network parameters obtained by supervised learning as initial values of the network, inputting the degraded hyperspectral image into the network, and optimizing by using an unsupervised loss function.
Specifically, the partial derivatives of the estimation function are obtained by the monte carlo method, and are expressed as:
Figure BDA00036002944500000310
wherein b represents a zero mean random vector unit variance; e represents a constant, and in practical application, can be set to 1 × 10 -4 (ii) a Φ is the degradation matrix.
And aiming at each degraded hyperspectral image, taking a parameter value obtained by supervised learning as a network initial value, using an unsupervised loss function, and iteratively optimizing the network initial value to obtain a restored hyperspectral image.
In order to achieve the purpose of the invention, according to the method, the invention further provides a hyperspectral image recovery system based on a hybrid supervised model, which comprises a supervised training subsystem, an unsupervised training subsystem and a recovery subsystem.
The supervised training subsystem is used for carrying out preliminary training on the network, and using the paired hyperspectral data sets to enable the network to learn supervised information from external hyperspectral data.
And the unsupervised training subsystem is used for further optimizing the initial network value obtained by the supervised training subsystem so that the network learns the essential information of the target hyperspectral data.
And the recovery subsystem recovers the target hyperspectral image by using the network trained by the unsupervised training subsystem.
The connection relationship among the subsystems is as follows: the output end of the supervised training subsystem is connected with the input end of the unsupervised training subsystem, and the output end of the unsupervised training subsystem is connected with the input end of the recovery subsystem.
Advantageous effects
Compared with the prior art, the invention has the following advantages:
1. the method can effectively recover the degraded hyperspectral image to obtain a clear and complete hyperspectral image. The method can be applied to various hyperspectral degradation problems, and degraded hyperspectrum is recovered in a targeted manner by combining different hyperspectral recovery networks.
2. According to the invention, through the information of the external data set of supervised learning and the internal information of the hyperspectral target of unsupervised learning, the problem that the network is inconsistent in the training data and the test data can be effectively solved.
3. According to the invention, the noise in the hyperspectral degradation process is evaluated through the Stent unbiased estimation, so that the network has robustness to noise input, and high-quality recovery of degraded hyperspectral images is realized.
Drawings
FIG. 1 is a schematic flow diagram of the process of the present invention.
FIG. 2 is a schematic diagram of a model training mode of the method of the present invention;
FIG. 3 is a schematic diagram of the system of the present invention.
Detailed Description
For better illustrating the objects and advantages of the present invention, the following description will be made with reference to the accompanying drawings and examples.
Examples
As shown in fig. 1, a hyperspectral image restoration method based on a hybrid supervised model includes the following steps:
step 1: and constructing a supervised hyperspectral image data set according to the hyperspectral image degradation model and the parameters.
Step 2: constructing a hyperspectral recovery network, and training the network by using a supervised hyperspectral image dataset;
and step 3: establishing an unsupervised loss function based on noise estimation;
and 4, step 4: and (3) using the network parameters obtained by supervised learning as initial values of the network, inputting the degraded hyperspectral image into the network, and optimizing by using an unsupervised loss function.
According to the hyperspectral image recovery method based on the hybrid supervision model, a supervision hyperspectral image data set is constructed according to a hyperspectral image degradation model and parameters; constructing a hyperspectral recovery network, and training the network by using a supervised hyperspectral image dataset; establishing an unsupervised loss function based on noise estimation; and (3) using the network parameters obtained by supervised learning as initial values of the network, inputting the degraded hyperspectral image into the network, and optimizing by using an unsupervised loss function. Therefore, the problem that the training data and the test data have performance differences in the data-driven hyperspectral image recovery method can be solved, the hyperspectral image recovery method based on the hybrid supervision model is provided, and the noise influence is considered for the target hyperspectral image on the basis of supervised learning through the combined loss function of Stent unbiased estimation and variation, so that a better recovery effect is obtained.
Further, in an embodiment of the application, a hyperspectral image training data set is constructed according to hyperspectral degradation model parameters and noise parameters for different hyperspectral degradation tasks. The dataset comprises a large-scale paired dataset consisting of noisy degraded hyperspectral images and noiseless raw hyperspectral images. The hyperspectral degradation model can be uniformly expressed as:
y=Φx+η
wherein y is a degraded hyperspectral image, x is an original hyperspectral image, phi is a degradation matrix, and eta is additive Gaussian noise.
Further, in one embodiment of the application, the network is trained using large-scale pairwise hyperspectral datasets to learn external prior knowledge. The training function is as follows:
Figure BDA0003600294450000051
wherein the content of the first and second substances,
Figure BDA0003600294450000052
representing the ith pair of hyperspectral data, N representing the total number of hyperspectral datasets,
Figure BDA0003600294450000053
representing a hyperspectral recovery network with a parameter w ex
Further, in one embodiment of the present application, the unsupervised loss function uses a loss function based on a Stent Unbiased Risk Estimate (SURE) and a Total Variation (TV). And evaluating the noise suffered by the hyperspectral degraded process through the Stent unbiased risk estimation.
Further, in one embodiment of the present application, the Stent unbiased estimate is expressed as:
Figure BDA0003600294450000054
wherein the content of the first and second substances,
Figure BDA0003600294450000055
an estimation function for a hyperspectral degraded image y is represented, and σ is represented as the noise intensity.
The total variation loss function is expressed as:
Figure BDA0003600294450000056
wherein the content of the first and second substances,
Figure BDA0003600294450000057
in order to be a differential operator, the system is,
Figure BDA0003600294450000058
representing a hyperspectral recovery network with a parameter w in
The joint unsupervised loss function is expressed as
Figure BDA0003600294450000061
Wherein λ is a weighting factor.
Further, in one embodiment of the present application, the partial derivative of the estimation function is expressed by a monte carlo method as:
Figure BDA0003600294450000062
where b represents the zero mean random vector unit variance and e represents a very small constant.
Further, in an embodiment of the application, for each degraded hyperspectral image, a parameter value obtained by supervised learning is used as a network initial value, an unsupervised loss function is used, the network initial value is iteratively optimized, and a restored hyperspectral image is obtained
Fig. 2 is a block diagram of a method training according to an example of the application, and a hyperspectral recovery network learns priori knowledge from the outside of a hyperspectral image of a target and essential information inside hyperspectral of the target through large-scale hyperspectral dataset training and single hyperspectral optimization.
Fig. 3 is a composition diagram of a hyperspectral image restoration system based on a hybrid supervised model according to an embodiment of the present application. Including the supervised training subsystem 10, the unsupervised training subsystem 20, the recovery subsystem 30:
the supervised training subsystem 10 is used for performing preliminary training on the network. And a large-scale pair-wise hyperspectral data set is used, so that the network learning is rich in supervised information from external hyperspectral data.
And the unsupervised training subsystem 20 is used for further optimizing the initial network value obtained by the supervised training subsystem so that the network learns the essential information of the target hyperspectral data.
And the recovery subsystem 30 recovers the target hyperspectral image by using the network trained by the unsupervised training subsystem.
The explanation of the hybrid supervision model-based hyperspectral image restoration method in the foregoing embodiment is also applicable to the hybrid supervision model-based hyperspectral image restoration system in this embodiment, and details are not repeated here.

Claims (2)

1. A hyperspectral image recovery method based on a hybrid supervision model is characterized by comprising the following steps:
step 1: constructing a supervised hyperspectral image data set according to the hyperspectral image degradation model and the parameters;
constructing a hyperspectral image training data set according to hyperspectral degraded model parameters and noise parameters aiming at different hyperspectral degraded tasks; the hyperspectral image training dataset comprises: a pair data set consisting of the noise-degraded hyperspectral image and the noise-free original hyperspectral image;
the hyperspectral degradation model is uniformly expressed as:
y=Φx+η (1)
wherein y is a degraded hyperspectral image, x is an original hyperspectral image, phi is a degradation matrix, and eta is additive Gaussian noise;
step 2: constructing a hyperspectral recovery network, and training the network by using a supervised hyperspectral image dataset;
training the network by using a pair of hyperspectral data sets, so that the network learns external prior knowledge; training function
Figure FDA0003600294440000011
As follows:
Figure FDA0003600294440000012
the subscript ex represents that the data information comes from the hyperspectral of the non-recovery target;
Figure FDA0003600294440000013
represents the ith pair of hyperspectral data,
Figure FDA0003600294440000014
representing the ith original hyperspectral image,
Figure FDA0003600294440000015
is shown to pass through
Figure FDA0003600294440000016
Adding noise to obtain an ith degraded hyperspectral image; n represents the total number of hyperspectral datasets;
Figure FDA0003600294440000017
representing a hyperspectral recovery network with a parameter w ex
And step 3: establishing an unsupervised loss function based on noise estimation;
the unsupervised loss function uses a loss function based on the Stant unbiased risk estimation SURE and the total variation TV, and noise received in the hyperspectral degradation process is estimated through the Stant unbiased risk estimation;
wherein the Stent unbiased estimation
Figure FDA0003600294440000018
Expressed as:
Figure FDA0003600294440000019
wherein the content of the first and second substances,
Figure FDA00036002944400000110
representing an estimation function of the hyperspectral degraded image y, and expressing sigma as noise intensity; n represents the total number of hyperspectral datasets;
Figure FDA00036002944400000111
estimate, y, representing the position of the i-th degraded hyperspectral pixel i Representing the true value of the i-th degraded hyperspectral pixel,
Figure FDA00036002944400000112
representing a differential operator;
total variation loss function
Figure FDA00036002944400000113
Expressed as:
Figure FDA00036002944400000114
wherein the content of the first and second substances,
Figure FDA0003600294440000021
is a differential operator;
Figure FDA0003600294440000022
representing a hyperspectral recovery network with a parameter w in ;y in Representing a degraded hyperspectral image, and in representing that data information comes from a recovery target hyperspectral;
joint unsupervised loss functions
Figure FDA0003600294440000023
Expressed as:
Figure FDA0003600294440000024
wherein λ is a weighting factor;
and 4, step 4: using the network parameters obtained by supervised learning as initial values of the network, inputting the degraded hyperspectral image into the network, and optimizing by using an unsupervised loss function;
wherein the partial derivatives of the estimation function are obtained by a monte carlo method, and are represented as:
Figure FDA0003600294440000025
wherein b represents a zero mean random vector unit variance; e represents a constant; phi is a degradation matrix;
and aiming at each degraded hyperspectral image, taking a parameter value obtained by supervised learning as a network initial value, using an unsupervised loss function, and iteratively optimizing the network initial value to obtain a restored hyperspectral image.
2. A hyperspectral image recovery system based on a hybrid supervision model is characterized by comprising a supervision training subsystem, an unsupervised training subsystem and a recovery subsystem;
the system comprises a supervision training subsystem, a hyperspectral data acquisition subsystem and a hyperspectral data processing subsystem, wherein the supervision training subsystem is used for carrying out primary training on a network, and using a pair of hyperspectral data sets to enable the network to learn supervised information from external hyperspectral data;
the unsupervised training subsystem is used for further optimizing the initial network value obtained by the supervised training subsystem so that the network learns the essential information of the target hyperspectral data;
the recovery subsystem recovers the target hyperspectral image by utilizing the network trained by the unsupervised training subsystem;
the connection relationship among the subsystems is as follows: the output end of the supervised training subsystem is connected with the input end of the unsupervised training subsystem, and the output end of the unsupervised training subsystem is connected with the input end of the recovery subsystem.
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