CN109903318B - Registration and change detection integrated processing method based on high-resolution remote sensing image - Google Patents
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Abstract
A building registration and change detection integrated processing method based on a high-resolution remote sensing image takes registration errors as a spectral change decision factor, and change information is iteratively fed back to a resolving process of a variation registration model in a weight mode. In order to more accurately detect the real change of the specific target of the building, the invention adopts the difference of the multi-scale maximum morphological outline building detection indexes as another decision factor. And finally, establishing a probability model for the two decision factors of the change reflected by the registration error and the difference of the building detection index under a D-S evidence theory framework for fusion processing, thereby obtaining the change detection result of the building. The invention effectively solves the limitation of single processing by utilizing an integrated processing idea, fundamentally solves the problems of influence of registration errors on change detection results and reduction of registration accuracy due to changes, and further improves the quality of registration and change detection.
Description
Technical Field
The invention relates to the field of image processing, in particular to a registration and change detection integrated processing method based on a high-resolution remote sensing image.
Background
With the continuous advance of the urbanization process, how to timely and accurately monitor the change of land utilization/coverage around the city, especially the change of the most active buildings, becomes a problem to be solved urgently at present. The remote sensing change detection technology provides an effective technical approach for solving the problem.
The image registration is used as a key link of change detection, and the quality of the image registration directly influences the precision of the change detection. In the conventional change detection and registration method, registration and change detection are often regarded as two independent processing steps, i.e., registration is performed before change detection, and a flowchart is shown in fig. 1. However, in actual processing, not only the registration error may cause an erroneous change detection result, but also the change information may in turn cause a reduction in the registration accuracy and even a failure in the registration. Although there is a scheme in the prior art that a pixel-based change vector is projected onto a polar coordinate system, and the influence of a registration error is weakened through multi-scale analysis according to the characteristic that the change caused by the registration error is reduced along with the reduction of spatial resolution, the influence of the registration error on change detection is not fundamentally solved.
Disclosure of Invention
In view of the above, the main object of the present invention is to provide an integrated process of registration and change detection based on high resolution remote sensing images, so as to at least partially solve the above mentioned technical problems.
In order to achieve the purpose, the technical scheme of the invention is as follows:
a registration and change detection integrated processing method based on a high-resolution remote sensing image comprises the following steps:
step 1, establishing a registration and change detection integrated processing variational model of the remote sensing image, namely adding feedback of surface feature change into the registration model, fully considering the existence of change information, and simultaneously taking the change obtained by registration error as a spectral change decision factor to carry out subsequent change detection so as to realize the integrated processing of registration and change detection;
step 2, establishing a probability model of a change weight w in the registration and change detection integrated processing variation model;
step 3, carrying out optimization solution on the registration and change detection integrated processing variation model by using a minimum variation energy function;
and 4, fusing the registration error change information obtained in the step 3 and the feature change information of the ground object based on an evidence theory, thereby realizing the integrated processing of registration and change detection of the high-resolution remote sensing image.
The land formations include buildings, vegetation and/or bodies of water.
The step 1 specifically comprises the following substeps:
Step 1.1, establishing data items in the integrated processing variation modelVector representationHas the formula of (1)
Wherein
In the formula: u. of1,u4For scale parameters in the X and Y directions in affine transformations, u2,u3As a rotation parameter, u5,u6As a translation parameter, u7As a contrast parameter, u8As a brightness parameter, fx,fyAnd ftIs the partial derivative of f (x, y, t) to space and time, and w is the variation weight of each point participating in the operation;
Where Nl is the number of lines, l is the l-th line, Np is the number of points on line l, i is the i-th point on line l,andis the transformation parameter of the i-1, i and i +1 point on the straight line l;
step 1.4, establishing a whole variation model;
the probability model in step 2 is as follows:
wherein
d(x,y)=f(x,y,t)-f(x,y,t-1)(20);
I.e. d (x, y) represents the difference in gray levels between the registered image pairs, and the variables c and σ are constants.
The Euler-Lagrange equation of the variation model in the step 3 is as follows:
in the formula:is a Laplace operator, andrefers to two adjacent points on the same straight line, the left and the right of which take the point as the centerAverage value of (d);
regularization is performed on equation (8) during the solution process, adding a regularization term L, which becomes
In the formula: l is an 8X 8 diagonal element of lambdaiThe off-diagonal element is a diagonal matrix of 0, λ in this contextiAre all 1.0 × 1010;
The discrete expression of formula (9) is
In the formula:is in calculating Laplace operatorIs solved by direct iteration, i.e. the mean value of adjacent points is obtained
In the formula:andis iterated by the current iterTo make an estimation, an initial estimationEstimating in a smaller neighborhood by using formula (12);
the step 4 comprises the following substeps:
step 4.1, establishing a probability density function of feature change information of the ground features;
step 4.2, establishing a probability density function of the registration error weight variable, and establishing a model by adopting 1-w, wherein the model is as follows:
in the formula: p1=0.01;x1T is a threshold, obtained using a moment keeping threshold (moment keeping threshold), variable τ is used to control the slope of the distribution, maximum values 1 and x of the 1-w variable are used1Is expressed by the difference of (1-x), τ ═ x1) 6; x is the value of the variable 1-w;
and 4.3, establishing a decision model for fusion processing of the change information and the surface feature based on the evidence theory.
Based on the technical scheme, the invention has the beneficial effects that:
the method effectively solves the limitation of independent processing, fundamentally solves the problems that the registration error influences the change detection result and the registration precision is reduced due to the change, further improves the quality of registration and change detection, and simultaneously improves the precision of image registration and change detection.
Drawings
FIG. 1 is a conventional registration and change detection process;
FIG. 2 is a false detection of registration errors and change detection resulting from conventional processing;
FIG. 3 is a flow chart of the integrated process of the present invention;
FIG. 4 is raw data to be processed;
FIG. 5 is a comparison of registration results;
FIG. 6 is a registration error weight comparison of the integrated processing and the separate processing modes;
fig. 7 is a comparison of the integrated process and the divided process variation detection results.
Detailed Description
In order that the objects, technical solutions and advantages of the present invention will become more apparent, the present invention will be further described in detail with reference to the accompanying drawings in conjunction with the following specific embodiments.
It should be noted that in the drawings or description, the same drawing reference numerals are used for similar or identical parts. Implementations not depicted or described in the drawings are of a form known to those of ordinary skill in the art. Additionally, while exemplifications of parameters including particular values may be provided herein, it is to be understood that the parameters need not be exactly equal to the respective values, but may be approximated to the respective values within acceptable error margins or design constraints.
The building as a special target has a certain height, and is inclined to different directions due to different shooting angles, the top surface of the building has different edges, and the side surfaces of the building have different characteristics, which brings great difficulty to the registration and change detection. For example, in a conventional processing manner, the change information of a building may cause the existence of a registration error, and the registration error may cause the wrong change detection result, as shown in fig. 2, the white frame in the figure is the false detection of the registration error and the change detection caused by the conventional processing defect.
The invention takes a building as an example, and improves the registration and change detection results by utilizing a registration and change detection integrated processing thought based on a variational theory, which specifically utilizes a variational method to carry out image registration, if the influence of change information is added in the model establishment, a better result should be obtained by taking a registration error as the change information, namely an integrated thought. This is because the inventor found that the similarity measure of the early and late images in the registration process provides a kind of consistency information for the registration algorithm, and in turn provides a kind of variation information, i.e. the points with large registration errors indicate a high possibility of variation. Therefore, the registration and the change detection are actually an organic whole which is mutually influenced and mutually embodied, and if the registration and the change detection can be uniformly processed to form an integrated frame, the precision of the image registration and the change detection can be simultaneously improved.
The process of the invention is shown in figure 3, the feedback of change is added into the registration model, and the existence of the change information is fully considered; in turn, since the registration model is based on a gray scale process, the change resulting from the registration error can be used as a spectral change decision factor for subsequent change detection. Because the registration error variation only represents a change, points with large registration errors indicate that the change is highly likely, some changes may be true changes, some changes may be false changes due to occlusion and the like, and other surface feature changes may also be possible, so that other decision factors need to be added to decide the change of the building. The method adopts Multi-scale Maximum morphology reconstruction contour Building detection Index MMMPBI (Multi-scale Maximum morphology files Building detection Index) difference delta MMMPBI to make a decision, and finally adopts an evidence theory to fuse, thereby obtaining the final Building change information.
The invention comprises the following steps:
step 1, establishing a registration and change detection integrated processing variation model;
Step 1.1, establishing data items in the integrated processing variation modelThe vector expression is (1);
wherein
In the formula: u. of1,u4For scale parameters in the X and Y directions in affine transformations, u2,u3As a rotation parameter, u5,u6As a translation parameter, u7As a contrast parameter, u8Is brightDegree parameter, fx,fyAnd ftThe partial derivative of f (x, y, t) on space and time, w is the weight of the change information of each point participating in the operation, and the larger the change is, the smaller the matching probability of the corresponding point is, and the smaller the weight participating in the operation is; the smaller the variation, the greater the matching probability of the corresponding point, and the greater the weight involved in the calculation.
Where Nl is the number of lines, l is the l-th line, Np is the number of points on line l, i is the i-th point on line l,andare the transformation parameters of the i-1, i and i +1 points on the straight line l.
Step 1.4, establishing a whole variation model;
step 2, establishing a probability model of the variation weight w in the variation model in the step 1;
the similarity measure adopted in the registration model is based on Mean Square Error (MSE) of gray scale, the determination of the weight value must be closely related to the measure, and meanwhile, the larger the registration Error of the point is, the smaller the weight corresponding to the operation is; the smaller the registration error is, the larger the weight corresponding to the operation is. Based on the above principle, the invention selects the following probability model:
wherein
d(x,y)=f(x,y,t)-f(x,y,t-1) (33);
I.e. d (x, y) represents the difference in gray levels between the registered image pairs, and the variables c and σ are constants.
Step 3, carrying out optimization solution on the registration and change detection integrated processing variation model in the step 1 by using a minimum variation energy function;
the Euler-Lagrange equation of the variation model in the step 1 is as follows:
in the formula:is a Laplace operator, andrefers to two adjacent points on the same straight line, the left and the right of which take the point as the centerAverage value of (a).
In order to prevent the ill-conditioned problem from occurring in the solving process, the formula (8) is subjected to regularization treatment, and a regularization term L is added, which becomes
In the formula: l is an 8X 8 diagonal element of lambdaiThe off-diagonal element is a diagonal matrix of 0, λ in this contextiAre all 1.0 × 1010。
The transformation parameters of each point are solvedIs a rather huge task, so that the traditional variational solution method is not directly adopted but a discrete form is adopted, and the discrete expression of the formula (9) is
In the formula:is in calculating Laplace operatorSo that the solution can be performed in a direct iterative manner, i.e. in such a way that the mean of adjacent points of (1) is calculated
In the formula:andis iterated by the current iterTo make an estimation, an initial estimationIn a smaller neighborhood using equation (12)And (6) estimating. And when the transformation model is recalculated, updating the weight w so that the point with large error has smaller weight in the next transformation model solution, and the point with small error has larger weight in the next transformation model.
Step 4, fusion processing of the change information and the building characteristics is carried out based on an evidence theory;
and based on the change information of the evidence theory and the building characteristic fusion processing, the weight of registration error reaction is used as a spectral change decision factor, and the difference of building detection indexes is used as a decision factor of building change, so that a fusion model of the evidence theory is established.
Step 4.1, establish the probability density function of the delta MMMPBI
In the formula: t isin,TdeIs the threshold value of positive and negative difference, and is processed by a Kuper entry threshold value method, and the variable tauin,τdeRespectively used for controlling the slope of positive and negative difference distribution, respectively using 1 and T for effectively controlling variablesinAnd 1 and | TdeThe difference of | represents; x is the value of the variable Δ mmpbi.
Step 4.2, establishing a probability density function of the registration error weight variable, and establishing a model by adopting 1-w, wherein the model is as follows:
in the formula: p1=0.01;x1T is a threshold value obtained by a moment keeping threshold method (moment keeping threshold), the variable τ is used to control the slope of the distribution, and in order to effectively control the variable, the maximum values 1 and x of the 1-w variable are used1Is expressed by the difference of (1-x), τ ═ x1) 6; x is the value of the variable 1-w.
And 4.3, establishing a decision model for fusion processing of the change information and the building characteristics based on the evidence theory.
Table 1 lists decision models for classes in which the meaning of the variables is: building changes (B), other surface changes (S) and no changes (no change, N). And the delta MMMPBI is the difference of the detection index characteristics of the building, and 1-w is the spectral difference expressed by weight variation determined by the registration error. This decision model is used to distinguish between building and other terrain variations. Assume that Δ MMMPBI indicates a building change characteristic and 1-w indicates a characteristic of a general feature spectral change.
TABLE 1 probability Density of each class in Integrated building Change detection
Note: k is PΔMMMPBI·(1-P1-w)。
Furthermore, the above definitions of the various elements and methods are not limited to the particular structures, shapes or arrangements of parts mentioned in the examples, which may be easily modified or substituted by one of ordinary skill in the art, for example:
(1) 4.1, other characteristic factors for representing the change of the building can be adopted for the building characteristic difference;
(2) the invention is only described by taking the feature of the building as an example, and for other features such as vegetation, water bodies and the like, the feature change representing the features can be adopted to replace or change the feature change of the building in the step 4.
In order to verify the effectiveness of the invention, WorldView-2 data is selected for experiment, and as shown in FIG. 4, the data are respectively the early stage data shot in 2010 and the late stage data shot in 2012, and the dislocation condition before data registration. As can be seen from fig. 4, the pre-registration misalignment is quite severe, which leads to many spurious changes if the registration is not performed before the change detection process. The data includes the types of ground objects such as grasslands, trees, roads, houses and the like, the house has relatively large change area, and a plurality of newly-built buildings appear. Due to the fact that data resolution is high, the difference of the inclination directions of buildings caused by different shooting angles is more serious, and the difference brings great difficulty to registration and change detection for the buildings in white frames in fig. 4.
In order to verify the advantages of the integrated processing, the integrated processing result is respectively compared with a mode of separate processing of registration and change detection, namely, the registration is firstly carried out and then the change detection is carried out, wherein two registration methods are used for comparison, one is a polynomial registration method based on a correlation coefficient, and the other is a variation registration method driven by vision. The invention evaluates from two aspects of the registration result and the change detection result respectively.
1. Registration result comparison
Because buildings in the data change more, but grasslands and trees are mostly unchanged, the density is higher, and the check points are not very convenient to select, the registration result is compared, a visual judgment mode is adopted, and the registration result and the reference image are displayed in a superposition mode without quantitative evaluation. Fig. 5 is a comparison of registration results, where fig. 5(a) is a correlation coefficient polynomial registration result, fig. 5(b) is a visual driven variational registration result, and fig. 5(c) is a registration result of the present invention. It can be seen visually that the misalignment after the correlation coefficient polynomial method registration is obviously reduced compared with that before the registration, but a certain registration error still exists, as shown in a white box, the reason for this is mainly that an integral registration model (here, a polynomial is adopted) is adopted, and local deformation cannot be well taken into consideration. And a variation method based on visual driving can take these variations into account, such as white frame positions; however, the lower half of the image, such as a gray frame, has an obvious registration error, even a certain distortion, and the reason for this is that no change information is considered during registration, and the registration model is solved by using the changed pixels and the unchanged pixels with equal authority, thereby causing inaccuracy in model solution. The invention adopts an integrated processing thought, the weights of the solution points participating in the model are fully considered in the solution model, the weight of the point with large error is smaller in the solution, and the weight of the point with small error is larger in the solution, thereby improving the registration accuracy.
2. Comparison of Change detection results
The invention adopts the registration error as a spectral change decision factor to participate in the processing of change detection, and in order to fully verify the influence of the registration errors of different registration modes on the change detection, a relational number polynomial is respectively compared with the registration error weight value graph of the invention. The experimental results are shown in fig. 6, (a) is a correlation coefficient polynomial registration error weight graph, (b) is a registration error weight graph of a vision-driven variation registration method, and (c) is a registration error weight graph adopting the method. The darker the brightness is, the smaller the weight is, that is, the larger the display variation of the registration error is, the conclusion the same as the visual result of the registration error of the upper section can be obtained from fig. 6, for example, a building in a black frame, the registration error weight of the correlation coefficient polynomial method is smaller, and the registration error is larger. The registration error display changes are not necessarily true building change information, such as the area shown by the gray box in fig. 6, which represents the change of vegetation, so that another decision factor is used to determine the change of the building, and the difference based on the multi-scale maximum morphological contour building detection index is used for measurement.
Fig. 7 shows the change detection result, where fig. 7(a) is the reference data of the building change marked by manual interpretation, fig. 7(b) is the detection result of the correlation coefficient polynomial registration error as the spectral change factor, fig. 7(c) is the detection result of the vision-driven variation registration error as the spectral change factor, and fig. 7(d) is the detection result of the registration error of the present invention as the spectral change factor. The detection results showed changes except for a black background. As can be seen from fig. 7(b), the correlation coefficient polynomial based registration method has a large registration error, and if the registration error is large, the roof is misaligned, the luminance area corresponds to the darkness area, and the luminance is greatly different, which results in false detection. In fig. 7(c), the local change of the part of the image is too large, and the difference between the brightness and the contrast considered in the model is not enough to represent the changes, so that the solution of the model is not good, and the registration accuracy is affected, but because the deformation is simulated by adopting a local and global constraint mode, the whole model is not affected, but only the local part is affected, for example, the upper part is not affected, the detection result is better than the whole registration result, the change area in the large-area white frame does not appear, but the house detection result in the lower gray frame is greatly affected, and the false detection appears. It can be seen from fig. 7(d) that the detection result using the integration strategy can sufficiently overcome the above disadvantages, and obtain a satisfactory detection result. The method is mainly characterized in that the influence of the changed pixels is fully considered in the process of establishing the model, the change is used as an iterative feedback factor, so that the weight of the pixels participating in the model calculation is set, the result is optimized, meanwhile, the registration error is used as a change factor to carry out change detection, the problem of false detection caused by the fact that the local deformation cannot be considered in the traditional integral registration is solved, and the defect that a single variational model cannot control the model with large change is overcome.
The above-mentioned embodiments are intended to illustrate the objects, technical solutions and advantages of the present invention in further detail, and it should be understood that the above-mentioned embodiments are only exemplary embodiments of the present invention and are not intended to limit the present invention, and any modifications, equivalents, improvements and the like made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (5)
1. A registration and change detection integrated processing method based on a high-resolution remote sensing image is characterized by comprising the following steps:
step 1, establishing a registration and change detection integrated processing variational model of the remote sensing image, namely adding feedback of surface feature change into the registration model, fully considering the existence of change information, and simultaneously taking the change obtained by registration error as a spectral change decision factor to carry out subsequent change detection so as to realize the integrated processing of registration and change detection;
step 2, establishing a probability model of a change weight w in the registration and change detection integrated processing variation model;
step 3, carrying out optimization solution on the registration and change detection integrated processing variation model by using a minimum variation energy function;
step 4, fusion processing is carried out on the registration error change information obtained in the step 3 and feature change information of the ground object based on an evidence theory, so that the registration and change detection integrated processing of the high-resolution remote sensing image is realized;
the step 1 specifically comprises the following substeps:
Step 1.1, establishing data items in the integrated processing variation modelThe vector expression is (1)
Wherein
In the formula: u. of1,u4For scale parameters in the X and Y directions in affine transformations, u2,u3As a rotation parameter, u5,u6As a translation parameter, u7As a contrast parameter, u8As a brightness parameter, fx,fyAnd ftIs the partial derivative of f (x, y, t) to space and time, and w is the variation weight of each point participating in the operation;
Where Nl is the number of lines, l is the l-th line, Np is the number of points on line l, i is the i-th point on line l,andis the transformation parameter of the i-1, i and i +1 point on the straight line l;
step 1.4, establishing a whole variation model;
2. the method of claim 1, wherein the terrain comprises buildings, vegetation, and/or bodies of water.
4. The method according to claim 2, wherein the Euler-Lagrangian equation of the variation model in step 3 is:
in the formula:is a Laplace operator, andrefers to two adjacent points on the same straight line, the left and the right of which take the point as the centerAverage value of (d);
regularization is performed on equation (8) during the solution process, adding a regularization term L, which becomes
In the formula: l is an 8X 8 diagonal element of lambdaiThe off-diagonal element is a diagonal matrix of 0, λiIs 1.0X 1010;
The discrete expression of formula (9) is
In the formula:is in calculating Laplace operatorIs solved by direct iteration, i.e. the mean value of adjacent points is obtained
In the formula:andis iterated by the current iterTo make an estimation, an initial estimationEstimating in a smaller neighborhood by using formula (12);
5. the method according to claim 2, characterized in that said step 4 comprises the following sub-steps:
step 4.1, establishing a probability density function of feature change information of the ground features;
step 4.2, establishing a probability density function of the registration error weight variable, and establishing a model by adopting 1-w, wherein the model is as follows:
in the formula: p1=0.01;x1T is a threshold, obtained using a moment keeping threshold (moment keeping threshold), variable τ is used to control the slope of the distribution, maximum values 1 and x of the 1-w variable are used1Is expressed by the difference of (1-x), τ ═ x1) 6; x is the value of the variable 1-w;
and 4.3, establishing a decision model for fusion processing of the change information and the surface feature based on the evidence theory.
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