CN113298836A - Remote sensing image thin cloud removing method and system considering element contour intensity - Google Patents

Remote sensing image thin cloud removing method and system considering element contour intensity Download PDF

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CN113298836A
CN113298836A CN202110727074.5A CN202110727074A CN113298836A CN 113298836 A CN113298836 A CN 113298836A CN 202110727074 A CN202110727074 A CN 202110727074A CN 113298836 A CN113298836 A CN 113298836A
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element contour
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葛亮
周奎
周义军
罗方方
倪皓晨
程星会
周莉莎
徐莹
王光昇
丁旭
郑二龙
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Tianjin Institute Of Surveying And Mapping Co ltd
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Abstract

The invention provides a remote sensing image thin cloud removing method and system considering element contour intensity, which are used for calculating the element contour intensity value of a remote sensing image with thin cloud; constructing a structural information extraction model considering the outline strength of the elements; solving the proposed structural information extraction model to obtain structural information of the remote sensing image; and constructing a thin cloud removal model to obtain a cloud-removed remote sensing image. The method extracts the structural information of the remote sensing image considering the element contour strength, and then removes the thin clouds, so that the boundary and texture information can be well kept while the thin clouds are effectively removed, and additional image support at different time is not needed.

Description

Remote sensing image thin cloud removing method and system considering element contour intensity
Technical Field
The invention belongs to the field of remote sensing science, and particularly relates to a remote sensing image thin cloud removing method and system considering element contour intensity.
Background
The remote sensing image is an image obtained by acquiring electromagnetic radiation information of an earth surface target through sensors of mobile platforms such as airplanes and satellites and further processing the radiation information by a certain technical means. The remote sensing image contains rich ground object information, can vividly display the position, the category and the state attribute of the ground object, and has wide application in various fields, such as agriculture, military affairs, disaster relief and the like. However, many surface areas are covered by clouds for a long time due to the influence of the external physical environment. As the most common remote sensing image format, the optical remote sensing image cannot effectively penetrate the cloud layer, so that the earth surface image of the area cannot be accurately obtained, the subsequent interpretation work and the application range are seriously influenced, and the usability of the image result is reduced. Thus, cloud layer removal is a valuable research effort in the field of remote sensing images. Cloud layers can be divided into thin clouds and thick clouds in remote sensing images. Although the thin cloud shields the ground object information, a part of electromagnetic radiation information can still be transmitted, and imaging can be partially performed. The thick clouds completely shield the ground feature information and cannot effectively transmit the electromagnetic radiation information, so that only a cloud shape is displayed in the image and the ground feature information of the part cannot be obtained.
The existing thin cloud removing method for the remote sensing image mainly comprises the following three categories: histogram matching method, single image cloud removing method and multi-source data fusion method. The histogram matching method is to match the histogram of one image or one area to another image, so that the image after histogram matching and the original standard image have similar hue and contrast to eliminate cloud and fog. The single remote sensing image cloud removing method only utilizes the information of the image to achieve the aim of removing cloud and fog, and mainly comprises a homomorphic filtering method, a wavelet transformation method and a color transformation method. The multi-source data fusion method is to use the related information of images of different multi-sources and time phases to realize a cloud removing algorithm. The methods can effectively remove the thin cloud in the remote sensing image to a certain extent, but have some problems. The histogram matching method only considers the matching effect of the histogram to achieve the aim of data enhancement, so that cloud and mist are removed. However, the obtained result does not consider the structure and texture information of the image at all, and valuable information such as boundary, texture and the like in the image can be greatly reduced. The single remote sensing image cloud removing method mainly adopts a filtering method, and can seriously blur boundaries and bring some additional artificial phenomena. The multi-source data fusion method needs additional remote sensing images, increases the burden of data acquisition, and the images at different times do not necessarily have accuracy. Therefore, a single remote sensing image cloud removing method is needed, which can well maintain boundary and texture information and does not need additional image support at different time.
Disclosure of Invention
The invention provides a remote sensing image thin cloud removing method and system considering element contour intensity, which can effectively remove thin clouds, well keep boundary and texture information and do not need additional image support at different time.
In order to achieve the purpose, the technical scheme of the invention is realized as follows:
a remote sensing image thin cloud removing method considering element contour intensity comprises the following steps:
p1: calculating element contour intensity value of remote sensing image with thin cloud
Figure BDA0003139127500000021
P2: constructing a structural information extraction model considering the outline strength of the elements;
p3: solving the proposed structural information extraction model to obtain structural information of the remote sensing image;
p4: and constructing a thin cloud removal model to obtain a cloud-removed remote sensing image.
Preferably, the method for calculating the element contour intensity value of the remote sensing image with thin clouds in step P1 includes:
p101, calculating corresponding element contour intensity values by using the following formula:
Figure BDA0003139127500000022
wherein,
Figure BDA0003139127500000023
Figure BDA0003139127500000024
forward difference operators in the horizontal direction and the vertical direction respectively;
Figure BDA0003139127500000025
is the Euclidean norm;
i, j are pixels of the remote sensing image f, i is 1,2, and M, j is 1, 2.
P102, obtaining the smoothed element contour intensity value by using low-pass filtering on k
Figure BDA0003139127500000026
Further, the method for constructing the structural information extraction model considering the element contour strength in step P2 includes:
Figure BDA0003139127500000027
wherein,
Figure BDA0003139127500000028
and (4) obtaining the smoothed element contour intensity value, wherein u is the structural information of the remote sensing image f, lambda is a data item coefficient, and H is a Gaussian function with the mean value of 1.
Further, the solving process of the structural information extraction model comprises the following steps:
p301, let P ═ u, convert formula (2) as follows:
Figure BDA0003139127500000031
p302, augmented lagrange form for equation (3):
Figure BDA0003139127500000032
wherein, zeta is Lagrange multiplier, and r is augmentation coefficient;
p303 and the formula (4) are divided into the following two subproblems to solve:
Figure BDA0003139127500000033
Figure BDA0003139127500000034
p304, for equation (5), fixing u, solving for P; the simplification is as follows:
Figure BDA0003139127500000035
for equation (7) above, there is a closed solution of the form:
Figure BDA0003139127500000036
p305, for equation (6), fix P and solve u. The reduction for equation (6) is:
Figure BDA0003139127500000037
a first derivation of the above equation yields the following equation:
Figure BDA0003139127500000038
the formula (10) is rapidly solved through fast Fourier transform;
p306, updating a Lagrange multiplier;
Figure BDA0003139127500000039
further, the thin cloud removal model in step P4 is as follows:
Figure BDA00031391275000000310
wherein I is a remote sensing image after the thin cloud is removed, fdarkAnd the image is a dark channel prior, beta is a positive real number, and u is the structural information of the remote sensing image f.
In another aspect of the present invention, a system for removing thin clouds from remote sensing images considering element contour intensity is further provided, including:
element contour strength calculation module: element contour intensity value for calculating remote sensing image with thin cloud
Figure BDA0003139127500000041
The structural information extraction model construction module: the system comprises a structural information extraction model for constructing a structural information extraction model considering the outline strength of elements;
a solving module: the remote sensing image extracting module is used for solving the proposed structural information extracting model to obtain structural information of the remote sensing image;
thin cloud removal model construction module: and the method is used for constructing a thin cloud removal model to obtain a cloud-removed remote sensing image.
Preferably, the element contour strength calculation module includes:
a calculation unit: for calculating the corresponding element profile intensity value using the following equation:
Figure BDA0003139127500000042
wherein,
Figure BDA0003139127500000043
Figure BDA0003139127500000044
forward difference operators in the horizontal direction and the vertical direction respectively;
Figure BDA0003139127500000045
is the Euclidean norm;
i, j are pixels of the remote sensing image f, i is 1,2, and M, j is 1, 2.
A filtering unit: for obtaining smoothed element contour intensity value by using low-pass filtering on k
Figure BDA0003139127500000046
Further, the structural information extraction model construction module constructs the model using the following formula:
Figure BDA0003139127500000047
wherein,
Figure BDA0003139127500000048
and (4) obtaining the smoothed element contour intensity value, wherein u is the structural information of the remote sensing image f, lambda is a data item coefficient, and H is a Gaussian function with the mean value of 1.
Still further, the solving module includes:
a transformation unit: let p ═ u, convert formula (2) as follows:
Figure BDA0003139127500000049
an amplification unit: the augmented lagrange form for equation (3) is:
Figure BDA00031391275000000410
wherein, zeta is Lagrange multiplier, and r is augmentation coefficient;
a subproblem unit: equation (4) is divided into the following two sub-problems to solve:
Figure BDA0003139127500000051
Figure BDA0003139127500000052
a first solving unit: for equation (5), fixing u, solving for p; the simplification is as follows:
Figure BDA0003139127500000053
for equation (7) above, there is a closed solution of the form:
Figure BDA0003139127500000054
a second solving unit: for equation (6), p is fixed, and u is solved, which for equation (6) is simplified as:
Figure BDA0003139127500000055
a first derivation of the above equation yields the following equation:
Figure BDA0003139127500000056
the formula (10) is rapidly solved through fast Fourier transform;
an update unit: updating a Lagrange multiplier;
Figure BDA0003139127500000057
further, the thin cloud removal model building module builds the thin cloud removal model using the following formula:
Figure BDA0003139127500000058
wherein I is a remote sensing image after the thin cloud is removed, fdarkAnd the image is a dark channel prior, beta is a positive real number, and u is the structural information of the remote sensing image f.
Compared with the prior art, the invention has the following beneficial effects:
(1) according to the method, the structural information of the remote sensing image considering the element contour strength is extracted, and then the thin cloud is removed, so that the boundary and texture information can be well kept while the thin cloud is effectively removed, and extra image support at different time is not required;
(2) the method of the invention has very good applicability, effectiveness, stability and expansibility.
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FIG. 1 is a block flow diagram of an embodiment of the present invention.
Detailed Description
It should be noted that the embodiments and features of the embodiments may be combined with each other without conflict.
The invention provides a remote sensing image thin cloud removing method considering element contour intensity, belongs to a single remote sensing image cloud removing method, and can well keep boundary and texture information without additional image support at different time.
In the embodiment of the invention, MATLAB R2017b is used for algorithm implementation.
FIG. 1 shows the steps of an embodiment of the present invention.
Step 1:
reading a remote sensing SAR image f with thin cloud by using an imread function, wherein the SAR image has speckle noise, namely the thin cloud.
Step 2:
and calculating element contour intensity values of the remote sensing images with the thin clouds. Assuming that the remote sensing image with thin clouds is f, the corresponding element profile intensity value is calculated using the following formula (1):
Figure BDA0003139127500000061
wherein,
Figure BDA0003139127500000062
Figure BDA0003139127500000063
respectively, forward difference operators in the horizontal and vertical directions.
Figure BDA0003139127500000064
The euclidean norm is denoted as i, j as pixels of the remote sensing image f, i 1, 2.
Then, using low pass filtering to k to obtain smoothed element contour intensity value
Figure BDA0003139127500000065
And step 3:
constructing a structural information extraction model considering the element outline strength, as follows:
Figure BDA0003139127500000066
wherein u is structural information of the remote sensing image f, lambda is a data item coefficient, and H is a Gaussian function with the mean value of 1;
the model is designed according to the maximum posterior probability and the prior characteristics of the processing task and the image.
And 4, step 4:
and solving the proposed structural information extraction model to obtain the structural information of the remote sensing image.
First, ζ is initialized to 0, u is initialized to f,
Figure BDA0003139127500000067
the transformation of formula (2) is a limited problem as follows:
Figure BDA0003139127500000071
② the augmented Lagrangian form for equation (3) is:
Figure BDA0003139127500000072
where ζ is the lagrange multiplier and r is the augmentation factor.
Equation (4) can be divided into the following two subproblems to solve:
Figure BDA0003139127500000073
Figure BDA0003139127500000074
and fourthly, fixing u and solving p for the neutron problem in the formula (5). For equation (5) can be simplified to:
Figure BDA0003139127500000075
for the above formula, there is a closed solution of the form:
Figure BDA0003139127500000076
for the neutron problem in the formula (6), p is fixed, u is solved, and fft2 and ifft2 in matlab are used for fast solving.
This can be simplified for equation (6):
Figure BDA0003139127500000077
a first derivative of the above equation can be found as follows:
Figure BDA0003139127500000078
equation (10) can be solved quickly by fast fourier transform.
Sixthly, updating the Lagrange multiplier.
Figure BDA0003139127500000079
And 5:
and constructing a thin cloud removal model to obtain a cloud-removed remote sensing image. First, the dark channel prior f is calculateddark. Then, calculating the remote sensing image after the thin cloud is removed:
Figure BDA0003139127500000081
wherein I is a remote sensing image after the thin cloud is removed, fdarkA dark channel prior, beta is a positive real number;
the model is designed according to the processing task and the prior characteristics of the image itself.
Step 6:
according to the solving process, using MATLAB to carry out algorithm realization;
and 7:
and outputting to obtain a thin cloud removing result, namely the remote sensing image after the thin cloud is removed.
The remote sensing image thin cloud removing method considering the element contour strength can effectively remove the thin cloud through strict test and verification, has very good applicability, effectiveness, stability and expansibility, realizes all the functions, and has the characteristics of applicability, effectiveness, stability and expansibility.
The present invention is not limited to the above-mentioned embodiments, and it will be apparent to those skilled in the art that various modifications and enhancements can be made without departing from the principles of the present invention, and such modifications and enhancements are also considered to be within the scope of the present invention. Those not described in detail in this specification are within the skill of the art.

Claims (10)

1. A remote sensing image thin cloud removing method considering element contour intensity is characterized by comprising the following steps:
p1: calculating element contour intensity value of remote sensing image with thin cloud
Figure FDA0003139127490000011
P2: constructing a structural information extraction model considering the outline strength of the elements;
p3: solving the proposed structural information extraction model to obtain structural information of the remote sensing image;
p4: and constructing a thin cloud removal model to obtain a cloud-removed remote sensing image.
2. The method for removing thin clouds from remote sensing images considering element contour intensity according to claim 1, wherein the method for calculating the element contour intensity value of the remote sensing image with thin clouds in the step P1 comprises the following steps:
p101, calculating corresponding element contour intensity values by using the following formula:
Figure FDA0003139127490000012
wherein,
Figure FDA0003139127490000013
Figure FDA0003139127490000014
forward difference operators in the horizontal direction and the vertical direction respectively;
Figure FDA0003139127490000015
is the Euclidean norm;
i, j are pixels of the remote sensing image f, i is 1,2, and M, j is 1, 2.
P102, obtaining the smoothed element contour intensity value by using low-pass filtering on k
Figure FDA0003139127490000016
3. The method for removing the thin cloud of the remote sensing image considering the element contour strength as claimed in claim 1 or 2, wherein the method for constructing the structural information extraction model considering the element contour strength in step P2 includes:
Figure FDA0003139127490000017
wherein,
Figure FDA0003139127490000018
and (4) obtaining the smoothed element contour intensity value, wherein u is the structural information of the remote sensing image f, lambda is a data item coefficient, and H is a Gaussian function with the mean value of 1.
4. The method for removing the thin cloud of the remote sensing image considering the element contour intensity as claimed in claim 3, wherein the solving process of the structural information extraction model comprises the following steps:
p301, order
Figure FDA0003139127490000019
Formula (2) is converted as follows:
Figure FDA00031391274900000110
Figure FDA00031391274900000111
p302, augmented lagrange form for equation (3):
Figure FDA00031391274900000112
wherein, zeta is Lagrange multiplier, and r is augmentation coefficient;
p303 and the formula (4) are divided into the following two subproblems to solve:
Figure FDA0003139127490000021
Figure FDA0003139127490000022
p304, for equation (5), fixing u, solving for P; the simplification is as follows:
Figure FDA0003139127490000023
for equation (7) above, there is a closed solution of the form:
Figure FDA0003139127490000024
p305, for equation (6), fix P and solve u. The reduction for equation (6) is:
Figure FDA0003139127490000025
a first derivation of the above equation yields the following equation:
Figure FDA0003139127490000026
the formula (10) is rapidly solved through fast Fourier transform;
p306, updating a Lagrange multiplier;
Figure FDA0003139127490000027
5. the method for removing thin clouds from remote sensing images considering element contour intensity according to claim 1 or 4, wherein the thin cloud removal model in the step P4 is as follows:
Figure FDA0003139127490000028
wherein I is a remote sensing image after the thin cloud is removed, fdarkAnd the image is a dark channel prior, beta is a positive real number, and u is the structural information of the remote sensing image f.
6. A remote sensing image thin cloud removal system considering element contour intensity is characterized by comprising:
element contour strength calculation module: element contour intensity value for calculating remote sensing image with thin cloud
Figure FDA0003139127490000029
The structural information extraction model construction module: the system comprises a structural information extraction model for constructing a structural information extraction model considering the outline strength of elements;
a solving module: the remote sensing image extracting module is used for solving the proposed structural information extracting model to obtain structural information of the remote sensing image;
thin cloud removal model construction module: and the method is used for constructing a thin cloud removal model to obtain a cloud-removed remote sensing image.
7. The remote sensing image thin cloud removal system considering element contour intensity as claimed in claim 6, wherein the element contour intensity calculation module comprises:
a calculation unit: for calculating the corresponding element profile intensity value using the following equation:
Figure FDA0003139127490000031
wherein,
Figure FDA0003139127490000032
Figure FDA0003139127490000033
forward difference operators in the horizontal direction and the vertical direction respectively;
Figure FDA0003139127490000034
is the Euclidean norm;
i, j are pixels of the remote sensing image f, i is 1,2, and M, j is 1, 2.
A filtering unit: for obtaining smoothed element contour intensity value by using low-pass filtering on k
Figure FDA0003139127490000035
8. The remote sensing image thin cloud removing system considering element contour intensity as claimed in claim 6 or 7, wherein the structural information extraction model building module builds the model by using the following formula:
Figure FDA0003139127490000036
wherein,
Figure FDA0003139127490000037
and (4) obtaining the smoothed element contour intensity value, wherein u is the structural information of the remote sensing image f, lambda is a data item coefficient, and H is a Gaussian function with the mean value of 1.
9. The remote sensing image thin cloud removal system considering element contour intensity as claimed in claim 8, wherein the solving module comprises:
a transformation unit: order to
Figure FDA0003139127490000038
Formula (2) is converted as follows:
Figure FDA0003139127490000039
an amplification unit: the augmented lagrange form for equation (3) is:
Figure FDA00031391274900000310
wherein, zeta is Lagrange multiplier, and r is augmentation coefficient;
a subproblem unit: equation (4) is divided into the following two sub-problems to solve:
Figure FDA0003139127490000041
Figure FDA0003139127490000042
a first solving unit: for equation (5), fixing u, solving for p; the simplification is as follows:
Figure FDA0003139127490000043
for equation (7) above, there is a closed solution of the form:
Figure FDA0003139127490000044
a second solving unit: for equation (6), p is fixed, and u is solved, which for equation (6) is simplified as:
Figure FDA0003139127490000045
a first derivation of the above equation yields the following equation:
Figure FDA0003139127490000046
the formula (10) is rapidly solved through fast Fourier transform;
an update unit: updating a Lagrange multiplier;
Figure FDA0003139127490000047
10. the remote sensing image thin cloud removal system considering element contour intensity as claimed in claim 6 or 9, wherein the thin cloud removal model building module builds the thin cloud removal model by using the following formula:
Figure FDA0003139127490000048
wherein I is a remote sensing image after the thin cloud is removed, fdarkAnd the image is a dark channel prior, beta is a positive real number, and u is the structural information of the remote sensing image f.
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陈奋 等: ""基于无抽样小波的遥感影像薄云检测与去除"", 《武汉大学学报 信息科学版》 *

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CN117218048A (en) * 2023-11-07 2023-12-12 天津市测绘院有限公司 Infrared and visible light image fusion method based on three-layer sparse smooth model
CN117218048B (en) * 2023-11-07 2024-03-08 天津市测绘院有限公司 Infrared and visible light image fusion method based on three-layer sparse smooth model

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