CN104680151B - A kind of panchromatic remote sensing image variation detection method of high-resolution for taking snow covering influence into account - Google Patents

A kind of panchromatic remote sensing image variation detection method of high-resolution for taking snow covering influence into account Download PDF

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CN104680151B
CN104680151B CN201510108620.1A CN201510108620A CN104680151B CN 104680151 B CN104680151 B CN 104680151B CN 201510108620 A CN201510108620 A CN 201510108620A CN 104680151 B CN104680151 B CN 104680151B
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潘励
谈家英
杨倩
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Wuhan University WHU
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Abstract

The invention discloses a kind of panchromatic remote sensing image variation detection method of high-resolution for taking snow covering influence into account, the present invention is made full use of according on panchromatic image the characteristics of snow cover, detection is changed using the change detection detection method based on textural characteristics, region of variation is extracted.The accumulated snow region tested on new and old image is extracted using the Chan Vese dividing methods based on Level Set Method, according to snow cover situation in the result and new and old image of change detection, remove pseudo- change caused by the change of part snow cover, extract region of variation, the accuracy of change detection and the automaticity of map revision are improved, the data update cycle is shortened.

Description

A kind of panchromatic remote sensing image variation detection method of high-resolution for taking snow covering influence into account
Technical field
The invention belongs to image processing field, it is related to a kind of remote sensing image processing and change detecting method, more particularly to one Plant the panchromatic remote sensing image region of variation extracting method of high-resolution that taking snow covering influence into account based on high-resolution remote sensing image.
Background technology
The Northeast latitude is high, close to winter wind regime, it is one of the main accumulated snow area in China's winter, the accumulated snow of large area There is important influence to water resource utilization, diastrous weather and the atmospheric circulation of Northeast Regional.Become to Northeast Regional When changing detection, the covering of accumulated snow also generates strong influence to the result of change detection.The change of Snow-Cover causes Change in testing result and produce the pseudo- change in part.The influence of snow cover how is reduced, the change of snow cover situation is removed and produces Raw pseudo- change, more accurately extracts region of variation, is the difficult point of Northeast Regional change detection, for very cold region Research have important meaning.
High-resolution remote sensing image extensive use, traditional change detection based on pixel has great limitation on yardstick Property, a kind of object-based change detecting method arises at the historic moment, and what the change detecting method of object-oriented first had to solve is point The problem of cutting, currently without the universality algorithm for high-resolution remote sensing image.When being changed detection to the Northeast, row Except accumulated snow influence is even more important.Accumulated snow region how is determined, is to exclude the problem of accumulated snow influence first has to solve.Many scholars couple Snow remote sensing knows method for distinguishing and has carried out beneficial exploration, has higher reflection in visible ray and near infrared band according to accumulated snow Characteristic, the relatively low characteristic of reflectivity at middle-infrared band passes through certain digital image processing techniques and obtains snow cover Information.Dozier proposes the snow lid index concept using accumulated snow reflectivity Characteristics, to distinguish accumulated snow and other atural objects.Hall Complete snow-cover mapping SNOMAP algorithms have been developed using snow lid index.Shaded side accumulated snow can not due to the influence of the factors such as landform Identification, can interpret the accumulated snow in shade according to the distribution of snow lid and the substantial connection of landform, research and propose correction illumination change Method interpretation shade in accumulated snow.Any of the above algorithm respectively has its advantage and disadvantage, and institute can be applied to without any one algorithm Some changes detect case.The characteristics of image that different sensors is obtained has respective, the scope of application is different, atural object itself The influence of complexity and environmental factor so that the process of change detection becomes particularly complicated.Remote sensing image is used to the Northeast Detection is changed, the covering of accumulated snow causes the difficulty increase of change detection, and single algorithm can not accurately extract change Region.
The content of the invention
In order to overcome the deficiencies in the prior art, the present invention proposes a kind of panchromatic remote sensing of high-resolution for taking snow covering influence into account Remote sensing imagery change detection method.The present invention use the Chan-Vese dividing methods based on level set, taken into full account pixel with It faces the relation in domain, is partitioned into the accumulated snow region on double phase remote sensing images, by itself and the result that is detected based on group's strategy change Compare, eliminate target to be detected due to the pseudo- change that Snow-Cover changes and produces, improve the precision of change detection.
The technical solution adopted in the present invention is:A kind of panchromatic remote sensing image change inspection of the high-resolution for taking snow covering influence into account Survey method, it is characterised in that comprise the following steps:
Step 1:Input two width remote sensing images of same place different times;
Step 2:Detection is changed using group's strategy to two width remote sensing images of input;To two width remote sensing images of input Accumulated snow region segmentation is carried out using the Chan-Vese dividing methods based on level set, it is considered to which pixel faces the relation in domain with it, segmentation The accumulated snow region gone out on double phase remote sensing images, by itself and the results contrast detected based on group's strategy change, determines two width remote sensing The change type of image, described change type is divided into:Change class, the class that do not change, pseudo- change class and suspicious do not change class;It is described Change type determining standard be:
Change class:If two width remote sensing images are without snow, and testing result is that target is changed, then it can be assumed that being mesh Mark has changed;
Do not change class:If two width remote sensing images are without snow, and testing result is that target does not change, then it can be assumed that target does not have Change;
Puppet change class:If in two width remote sensing images one it is snowy, and testing result changes for target, this may is that by In pseudo- change caused by snow covering, result of variations needs further examine;
It is suspicious not change class:If in two width remote sensing images one it is snowy, and testing result be target do not change, this The situation of kind may is that because snow deposit masks the change of actual atural object, it is necessary to further detection;
Step 3:Take the panchromatic image change detection of snow into account, be classified as when on two width remote sensing images all by snow cover Suspicious region, is not processed, and determines that detection target becomes due to the puppet that snow cover situation changes and produces during knock-out experiment Change;
Step 4:Using overall accuracy, Kappa coefficients, change class accuracy and do not change class accuracy and commented to carry out precision Valency.
Preferably, the two width remote sensing images to input described in step 2 are changed detection using group's strategy, it has Body, which is realized, includes following sub-step:
Step 2.1.1:The textural characteristics figure of two described width remote sensing images of generation, calculates image greyscale co-occurrence matrix, by Pixel takes texture eigenvalue needed for window calculation, and the texture eigenvalue of calculating then is assigned into central point pixel, after the completion of, will Window moves a pixel, forms another new window, recalculates, the like, thus constitute one and artwork The eigenvalue matrix of an equal-sized gray level co-occurrence matrixes;
Step 2.1.2:Using omnidirectional's texture value (i.e. the directive average value of institute), 0 °, 45 °, 90 °, 135 ° is calculated respectively The average of the texture of four direction, compared with the texture template image of single direction, omnidirectional's texture has rotational invariance;
Step 2.1.3:The appropriate pixel distance of selection and window size obtain the textural characteristics needed;
Step 2.1.4:Texture feature extraction, is respectively adopted following three kinds of method of discrimination and obtains difference image, using group's plan Slightly integrate three kinds of indexs and judge object variations;(i, j) is the gray value of different two pixels, and p (i, j) is gray level co-occurrence matrixes:
(4-a) second order is away from (Eneryg), the quadratic sum of gray level co-occurrence matrixes element value, and it is formulated as:
(4-b) entropy (Entropy), image has a measurement of the randomness of information content, represents the non-homogeneous of texture in image Degree or complexity;If texture is complicated, entropy is big;If conversely, element size difference in uniform gray level in image, co-occurrence matrix Greatly, entropy is small;The calculation formula of entropy is:
(4-c) homogeneity degree (Homogeneity) is also known as contrast square, reflects the uniformity of gradation of image;When pixel is to equal When even, the value of homogeneity degree is of a relatively high;Its calculation formula is:
Step 2.1.5:Given threshold iterative, its algorithmic formula is f (i, j)=gt1(i,j)-gt2(i, j), wherein gt1(i, j) and gt2(i, j) is the gray value of the pixel arranged on textural characteristics image in the i-th row jth, and f (i, j) is that texture is poor It is worth the gray value of the pixel of the i-th row jth row on image, iterative method is chosen herein and calculates threshold value progress binaryzation, the mistake of iterative method Cheng Wei:
Step 2.1.5.1:Choose the maximum of gray scale and the average T of minimum value on image and be used as initial threshold value;
Step 2.1.5.2:With T as Threshold segmentation image, grey scale pixel value is used as foreground part, pixel ash more than T Angle value is used as background parts less than T;
Step 2.1.5.3:Calculate the gray average g of foreground part and background parts1And g2, new threshold value T ' is calculated, its In:
When T ' and T difference is less than setting threshold values M, stop iteration, no person goes back to step 2.1.5.2 and continues to calculate, until Condition is met, stops iteration, threshold value now is required;
Step 2.1.6:Group decision detects object variations, and single feature is respectively adopted and is changed detection, then to three The result of individual change detection detection is merged, and obtains more accurately changing testing result, three kinds of testing result importance one Cause, use majority rule, when there is two kinds or more to judge that targets to be detected are changed in three kinds of testing results, Then think that target to be detected is changed.
Preferably, the appropriate pixel distance of selection and window size described in step 2.1.3 obtain the texture needed Feature, wherein pixel distance 1, window size 5x5.
Preferably, setting threshold values M as 0.01 described in step 2.1.5.3.
Preferably, the two width remote sensing images to input described in step 2 are using the Chan-Vese based on level set points Segmentation method carry out accumulated snow region segmentation, its implement including for:By causing the energy functional E in following formulaCVMinimum is realized Segmentation:
Fixed λ12=0, μ are normal number;c1And c2It is the average value of the inside and outside pixel gray scales of curve C, to enable Measure functional ECV(c1,c2, C) and it is minimum, useTo represent that curve C, x, y are the coordinate of theorem in Euclid space, then above formula can be represented For:
Wherein δε(z) be regularization Di Lake functions, Hε(z) be Hai Shi functions regularization form,
Then the EVOLUTION EQUATION of level set is:
WithIt is the gray average of inside or outside of curve partial pixel.
Preferably, use overall accuracy, Kappa coefficients described in step 4, change class accuracy and not changing class just True rate carries out precision evaluation, wherein:
Overall accuracy (OA) is the Baidu point ratio that the pixel number correctly classified accounts for all total pixel numbers, and it reflects total physical examination The degree of accuracy of survey;The pixel number wherein correctly classified diagonally is distributed in confusion matrix, is M11 and M22 in table 1 below With;The change pixel number correctly detected in table is M11;The number for the change pixel that error detection goes out is M12;Error detection What is gone out does not change pixel number for M12;What is correctly detected does not change pixel number for M22;
Table 1
Overall accuracy OA calculation formula is expressed as:
Kappa coefficients are the methods of another evaluating precision, and the data calculation formula in confusion matrix is:
Accuracy is defined as the change class pixel detected and non-changing class pixel accounts for the percentage of very respective real image member number Than;Its calculation formula is:
The present invention is made full use of according on panchromatic image the characteristics of snow cover, is detected using the change based on textural characteristics Detection method is changed detection, extracts region of variation.Extracted using the Chan-Vese dividing methods based on Level Set Method The accumulated snow region on new and old image is tested, according to snow cover situation in the result and new and old image of change detection, part is removed Pseudo- change, extracts region of variation caused by snow cover change, improves the accuracy and map revision of change detection Automaticity, shortens the data update cycle.
Brief description of the drawings
Fig. 1:For the schematic flow sheet of the embodiment of the present invention.
Fig. 2:For the aviation image of the somewhere different times 1m spatial resolutions of the embodiment of the present invention.
Fig. 3:Change testing result for the second moment of the embodiment of the present invention.
Fig. 4:For the Entropy Changes testing result figure of the embodiment of the present invention.
Fig. 5:Change testing result figure for the homogeneity degree of the embodiment of the present invention.
Fig. 6:Change testing result figure for three Fusion Features of the embodiment of the present invention.
Fig. 7:For the early stage image accumulated snow region of the same place different times of the embodiment of the present invention.
Fig. 8:For the later stage image accumulated snow region of the same place different times of the embodiment of the present invention.
Fig. 9:Change testing result for the textural characteristics of the embodiment of the present invention.
Figure 10:For the change testing result for taking snow covering influence into account of the embodiment of the present invention.
Embodiment
Understand for the ease of those of ordinary skill in the art and implement the present invention, below in conjunction with the accompanying drawings and embodiment is to this hair It is bright to be described in further detail, it will be appreciated that implementation example described herein is merely to illustrate and explain the present invention, not For limiting the present invention.
The present embodiment is mainly changed detection using entropy, three textural characteristics of homogeneity degree and second moment, passes through group decision Plurality rule the change testing result of each texture is merged to extract region of variation.With the Chan-Vese based on level set Dividing method extracts the accumulated snow region on two width remote sensing images of same place different times, is carried out after the influence of snow removing is gone Change detection.Its flow is shown in Fig. 1.
The resolution ratio that the present embodiment chooses image is 1m, and the size of image is 1000 × 1000 pixels.In this group image Building, house, bare area, road are contained, change detection specific implementation step is as follows:
Step 1:Input two width remote sensing images of same place different times;
Step 2:Detection is changed using group's strategy to two width remote sensing images of input;To two width remote sensing images of input Accumulated snow region segmentation is carried out using the Chan-Vese dividing methods based on level set, it is considered to which pixel faces the relation in domain with it, segmentation The accumulated snow region gone out on double phase remote sensing images, by itself and the results contrast detected based on group's strategy change, determines two width remote sensing The change type of image, described change type is divided into:Change class, the class that do not change, pseudo- change class and suspicious do not change class;
Described change type determining standard is:
Change class:If two width remote sensing images are without snow, and testing result is that target is changed, then it can be assumed that being mesh Mark has changed;
Do not change class:If two width remote sensing images are without snow, and testing result is that target does not change, then it can be assumed that target does not have Change;
Puppet change class:If in two width remote sensing images one it is snowy, and testing result changes for target, this may is that by In pseudo- change caused by snow covering, result of variations needs further examine;
It is suspicious not change class:If in two width remote sensing images one it is snowy, and testing result be target do not change, this The situation of kind may is that because snow deposit masks the change of actual atural object, it is necessary to further detection;
Detection is changed using group's strategy to two width remote sensing images of input in step 2, it is implemented including following Sub-step:
Step 2.1.1:The textural characteristics figure of two described width remote sensing images of generation, calculates image greyscale co-occurrence matrix, by Pixel takes texture eigenvalue needed for window calculation, and the texture eigenvalue of calculating then is assigned into central point pixel, after the completion of, will Window moves a pixel, forms another new window, recalculates, the like, thus constitute one and artwork The eigenvalue matrix of an equal-sized gray level co-occurrence matrixes;
Step 2.1.2:Using omnidirectional's texture value (i.e. the directive average value of institute), 0 °, 45 °, 90 °, 135 ° is calculated respectively The average of the texture of four direction, compared with the texture template image of single direction, omnidirectional's texture has rotational invariance;
Step 2.1.3:The appropriate pixel distance of selection and window size obtain the textural characteristics needed, wherein pixel distance For 1, window size is 5x5.
Step 2.1.4:Texture feature extraction, is respectively adopted following three kinds of method of discrimination and obtains difference image, using group's plan Slightly integrate three kinds of indexs and judge object variations;(i, j) is the gray value of different two pixels, and p (i, j) is gray level co-occurrence matrixes;
(4-a) second order is away from (Eneryg), the quadratic sum of gray level co-occurrence matrixes element value, and it is formulated as:
(4-b) entropy (Entropy), image has a measurement of the randomness of information content, represents the non-homogeneous of texture in image Degree or complexity;If texture is complicated, entropy is big;If conversely, element size difference in uniform gray level in image, co-occurrence matrix Greatly, entropy is small;The calculation formula of entropy is:
(4-c) homogeneity degree (Homogeneity) is also known as contrast square, reflects the uniformity of gradation of image;When pixel is to equal When even, the value of homogeneity degree is of a relatively high;Its calculation formula is:
Gray level co-occurrence matrixes are to describe the common method of texture by studying the spatial correlation characteristic of gray scale, and it is pixel The matrix function of distance and angle, it is by calculating the correlation in image between certain distance and 2 gray scales of certain orientation Property, to reflect integrated information of the image on direction, interval, amplitude of variation and speed.On the image of N × N sizes, certain point (x, y), and deviate its another point (x+a, y+b), if this to gray value be (g1,g2).Point (x, y) is made in whole picture Upper movement, then can obtain various (g1,g2) value, if the series of gray value is k, then (g1,g2) combination have k2Kind.For whole Picture, counts each (g1,g2) number of times that value occurs, a square formation is then arranged in, with (g1,g2) occur it is total time They are normalized to the probability P of appearance by number, and such square formation is referred to as gray level co-occurrence matrixes.Difference is taken apart from difference value (b, b) Combinations of values, the joint probability matrix under different situations can be obtained.Gray level co-occurrence matrixes are carried out in experiment as follows Normalization:
P (i, j, d, θ) is that gray scale is i and j, number of times of the picture point that distance is d and direction is θ to appearance.
Step 2.1.5:Given threshold iterative, its algorithmic formula is f (i, j)=gt1(i,j)-gt2(i, j), wherein gt1(i, j) and gt2(i, j) is the gray value of the pixel arranged on textural characteristics image in the i-th row jth, and f (i, j) is that texture is poor It is worth the gray value of the pixel of the i-th row jth row on image, iterative method is chosen herein and calculates threshold value progress binaryzation, the mistake of iterative method Cheng Wei:
Step 2.1.5.1:Choose the maximum of gray scale and the average T of minimum value on image and be used as initial threshold value;
Step 2.1.5.2:With T as Threshold segmentation image, grey scale pixel value is used as foreground part, pixel ash more than T Angle value is used as background parts less than T;
Step 2.1.5.3:Calculate the gray average g of foreground part and background parts1And g2, new threshold value T ' is calculated, its In:
When T ' and T difference is less than setting threshold values M=0.01, stop iteration, no person goes back to step 2.1.5.2 and continues to count Calculate, until meeting condition, stop iteration, threshold value now is required;
Step 2.1.6:Group decision detects object variations, and single feature is respectively adopted and is changed detection, then to three The result of individual change detection detection is merged, and obtains more accurately changing testing result, three kinds of testing result importance one Cause, use majority rule, when there is two kinds or more to judge that targets to be detected are changed in three kinds of testing results, Then think that target to be detected is changed.
The Chan-Vese dividing methods based on level set are used to carry out accumulated snow area two width remote sensing images of input in step Regional partition, its implement including for:By causing the energy functional E in following formulaCVMinimum realizes segmentation:
Fixed λ12=0, μ are normal number;c1And c2It is the average value of the inside and outside pixel gray scales of curve C, to enable Measure functional ECV(c1,c2, C) and it is minimum, useTo represent that curve C, x, y are the coordinate of theorem in Euclid space, then above formula can be represented For:
Wherein δε(z) be regularization Di Lake functions, Hε(z) be Hai Shi functions regularization form,
Then the EVOLUTION EQUATION of level set is:
WithIt is the gray average of inside or outside of curve partial pixel.
To level set imbedding function derivation:
Wherein △ t are time step, are had using central difference schemes:
Wherein k1And k2For the step-length on x and y directions.ForThere is equation below:
Wherein:
Full scale equation is substituted into obtain:
Compared with the result of gray level threshold segmentation, the accumulated snow split using the Chan-Vese methods based on level set Region is more complete, has taken into full account that pixel faces the relation in domain with it, more conforms to the distribution of Snow Cover Over situation on ground.
Step 3:Take the panchromatic image change detection of snow into account, be classified as when on two width remote sensing images all by snow cover Suspicious region, is not processed, and determines that detection target becomes due to the puppet that snow cover situation changes and produces during knock-out experiment Change;
Step 4:Using overall accuracy, Kappa coefficients, change class accuracy and do not change class accuracy and commented to carry out precision Valency;
Wherein overall accuracy (OA) is the Baidu point ratio that the pixel number correctly classified accounts for all total pixel numbers, and it is reflected always The degree of accuracy that physical examination is surveyed;The pixel number wherein correctly classified diagonally is distributed in confusion matrix, be in table 1 below M11 and M22 sum;The change pixel number correctly detected in table is M11;The number for the change pixel that error detection goes out is M12;It is wrong What flase drop was measured does not change pixel number for M12;What is correctly detected does not change pixel number for M22;
Table 1
Overall accuracy OA calculation formula is expressed as
Kappa coefficients are the methods of another evaluating precision, and the data calculation formula in confusion matrix is:
Accuracy is defined as the change class pixel detected and non-changing class pixel accounts for the percentage of very respective real image member number Than;Its calculation formula is:
Table 2 is the precision index of the evaluation of the embodiment of the present invention:
Table 2
Result in table 2 is each coefficient result of calculation when being changed detection to this group of data, wherein taking snow influence into account As a result the accuracy of overall accuracy, Kappa coefficients and detection has small size raising, illustrates to take snow covering change detecting method pair into account Precision is improved to some extent.
The reason for raising of precision is limited is during puppet is gone, to eliminate fraction and change snow cover simultaneously in itself The ground target that situation has also changed, the precision to change detection exerts a certain influence.
It should be appreciated that the part that this specification is not elaborated belongs to prior art.
It should be appreciated that the above-mentioned description for preferred embodiment is more detailed, therefore it can not be considered to this The limitation of invention patent protection scope, one of ordinary skill in the art is not departing from power of the present invention under the enlightenment of the present invention Profit is required under protected ambit, can also be made replacement or be deformed, each fall within protection scope of the present invention, this hair It is bright scope is claimed to be determined by the appended claims.

Claims (5)

1. a kind of panchromatic remote sensing image variation detection method of high-resolution for taking snow covering influence into account, it is characterised in that including following Step:
Step 1:Input two width remote sensing images of same place different times;
Step 2:Detection is changed using group's strategy to two width remote sensing images of input;Two width remote sensing images of input are used Chan-Vese dividing methods based on level set carry out accumulated snow region segmentation, it is considered to which pixel faces the relation in domain with it, are partitioned into double Accumulated snow region on phase remote sensing image, by itself and the results contrast detected based on group's strategy change, determines two width remote sensing images Change type, described change type is divided into:Change class, the class that do not change, pseudo- change class and suspicious do not change class;Described change Changing type criterion is:
Change class:If two width remote sensing images are without snow, and testing result is that target is changed, then it can be assumed that for target Change;
Do not change class:If two width remote sensing images are without snow, and testing result is that target does not change, then it can be assumed that target is not sent out Changing;
Puppet change class:If in two width remote sensing images one it is snowy, and testing result changes for target, and this may is that due to snow Pseudo- change caused by covering, result of variations needs further examine;
It is suspicious not change class:If in two width remote sensing images one it is snowy, and testing result be target do not change, this feelings Condition may is that because snow deposit masks the change of actual atural object, it is necessary to further detection;It is wherein described two distant to input Sense image is changed detection using group's strategy, and it is implemented including following sub-step:
Step 2.1.1:The textural characteristics figure of two described width remote sensing images of generation, calculates image greyscale co-occurrence matrix, pixel-by-pixel Texture eigenvalue needed for window calculation is taken, the texture eigenvalue of calculating is then assigned to central point pixel, after the completion of, by window A mobile pixel, forms another new window, recalculates, the like, thus constitute one and artwork size The eigenvalue matrix of an equal gray level co-occurrence matrixes;
Step 2.1.2:Using omnidirectional's texture value (i.e. the directive average value of institute), 0 °, 45 °, 90 °, 135 ° four is calculated respectively The average of the texture in direction, compared with the texture template image of single direction, omnidirectional's texture has rotational invariance;
Step 2.1.3:The appropriate pixel distance of selection and window size obtain the textural characteristics needed;
Step 2.1.4:Texture feature extraction, is respectively adopted following three kinds of method of discrimination and obtains difference image, comprehensive using group's strategy Close three kinds of indexs and judge object variations;(i, j) is the gray value of different two pixels, and p (i, j) is gray level co-occurrence matrixes;
(4-a) second order is away from (Eneryg), the quadratic sum of gray level co-occurrence matrixes element value, and it is formulated as:
<mrow> <mi>E</mi> <mi>n</mi> <mi>e</mi> <mi>r</mi> <mi>y</mi> <mi>g</mi> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mi>i</mi> </munder> <munder> <mo>&amp;Sigma;</mo> <mi>j</mi> </munder> <mi>p</mi> <msup> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>;</mo> </mrow>
(4-b) entropy (Entropy), image has the measurement of the randomness of information content, represents the non-uniform degree of texture in image Or complexity;If texture is complicated, entropy is big;Conversely, if element size difference is big in uniform gray level in image, co-occurrence matrix, Entropy is small;The calculation formula of entropy is:
<mrow> <mi>E</mi> <mi>n</mi> <mi>t</mi> <mi>r</mi> <mi>o</mi> <mi>p</mi> <mi>y</mi> <mo>=</mo> <mo>-</mo> <munder> <mo>&amp;Sigma;</mo> <mi>i</mi> </munder> <munder> <mo>&amp;Sigma;</mo> <mi>j</mi> </munder> <mi>p</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>)</mo> </mrow> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
(4-c) homogeneity degree (Homogeneity) is also known as contrast square, reflects the uniformity of gradation of image;When pixel to it is uniform when, The value of homogeneity degree is of a relatively high;Its calculation formula is:
<mrow> <mi>H</mi> <mi>o</mi> <mi>m</mi> <mi>o</mi> <mi>g</mi> <mi>e</mi> <mi>n</mi> <mi>e</mi> <mi>i</mi> <mi>t</mi> <mi>y</mi> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mi>i</mi> </munder> <munder> <mo>&amp;Sigma;</mo> <mi>j</mi> </munder> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>i</mi> <mo>-</mo> <mi>j</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mfrac> <mi>p</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
Step 2.1.5:Given threshold iterative, its algorithmic formula is f (i, j)=gt1(i,j)-gt2(i, j), wherein gt1(i, And g j)t2(i, j) is the gray value of the pixel arranged on textural characteristics image in the i-th row jth, and f (i, j) is texture Difference image The gray value of the pixel of upper i-th row jth row, chooses iterative method and calculates threshold value progress binaryzation, the process of iterative method is herein:
Step 2.1.5.1:Choose the maximum of gray scale and the average T of minimum value on image and be used as initial threshold value;
Step 2.1.5.2:With T as Threshold segmentation image, grey scale pixel value is used as foreground part, grey scale pixel value more than T Background parts are used as less than T;
Step 2.1.5.3:Calculate the gray average g of foreground part and background parts1And g2, new threshold value T ' is calculated,
Wherein:
When T ' and T difference is less than setting threshold values M, stop iteration, no person goes back to step 2.1.5.2 and continues to calculate, until meeting Condition, stops iteration, and threshold value now is required;
Step 2.1.6:Group decision detects object variations, and single feature is respectively adopted and is changed detection, and then three are become The result for changing detection detection is merged, and obtains more accurately changing testing result, and three kinds of testing result importance are consistent, adopt It is majority rule, when there is two or more to judge that target to be detected is changed in three kinds of testing results, Then think that target to be detected is changed;
Step 3:Take the panchromatic image change detection of snow into account, be classified as suspicious when on two width remote sensing images all by snow cover Region, is not processed, and the pseudo- change that detection target is produced due to the change of snow cover situation is determined during knock-out experiment;
Step 4:Do not change using overall accuracy, Kappa coefficients, change class accuracy and class accuracy and carry out precision evaluation.
2. the high-resolution panchromatic remote sensing image variation detection method according to claim 1 for taking snow covering influence into account, it is special Levy and be:The appropriate pixel distance of selection and window size described in step 2.1.3 obtain the textural characteristics needed, wherein as Element distance is 1, and window size is 5x5.
3. the high-resolution panchromatic remote sensing image variation detection method according to claim 1 for taking snow covering influence into account, it is special Levy and be:Threshold values M is set as 0.01 described in step 2.1.5.3.
4. the high-resolution panchromatic remote sensing image variation detection method according to claim 1 for taking snow covering influence into account, it is special Levy and be:The two width remote sensing images to input described in step 2 are carried out using the Chan-Vese dividing methods based on level set Accumulated snow region segmentation, its implement including for:By causing the energy functional E in following formulaCVMinimum realizes segmentation:
<mrow> <mtable> <mtr> <mtd> <mrow> <msup> <mi>E</mi> <mrow> <mi>C</mi> <mi>V</mi> </mrow> </msup> <mrow> <mo>(</mo> <msub> <mi>c</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>c</mi> <mn>2</mn> </msub> <mo>,</mo> <mi>C</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>&amp;mu;</mi> <mo>&amp;CenterDot;</mo> <mi>L</mi> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>t</mi> <mi>h</mi> <mrow> <mo>(</mo> <mi>C</mi> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>&amp;lambda;</mi> <mn>1</mn> </msub> <mo>&amp;CenterDot;</mo> <munder> <mo>&amp;Integral;</mo> <mrow> <mi>i</mi> <mi>n</mi> <mi>s</mi> <mi>i</mi> <mi>d</mi> <mi>e</mi> <mrow> <mo>(</mo> <mi>C</mi> <mo>)</mo> </mrow> </mrow> </munder> <mo>|</mo> <msub> <mi>u</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>c</mi> <mn>1</mn> </msub> <mo>|</mo> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> <mo>+</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>&amp;lambda;</mi> <mn>2</mn> </msub> <mo>&amp;CenterDot;</mo> <munder> <mo>&amp;Integral;</mo> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> <mi>s</mi> <mi>i</mi> <mi>d</mi> <mi>e</mi> <mrow> <mo>(</mo> <mi>C</mi> <mo>)</mo> </mrow> </mrow> </munder> <mo>|</mo> <msub> <mi>u</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>c</mi> <mn>2</mn> </msub> <mo>|</mo> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> </mrow> </mtd> </mtr> </mtable> <mo>;</mo> </mrow>
Fixed λ12=0, μ are normal number;c1And c2It is the average value of the inside and outside pixel gray scales of curve C, to make energy general Letter ECV(c1,c2, C) and it is minimum, useTo represent that curve C, x, y are the coordinate of theorem in Euclid space, then above formula can be expressed as:
Wherein δε(z) be regularization Di Lake functions, Hε(z) be Hai Shi functions regularization form,
<mrow> <mi>H</mi> <mrow> <mo>(</mo> <mi>z</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mn>1</mn> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <mi>i</mi> <mi>f</mi> <mi> </mi> <mi>z</mi> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>0</mn> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <mi>i</mi> <mi>f</mi> <mi> </mi> <mi>z</mi> <mo>&lt;</mo> <mn>0</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> <mi>&amp;delta;</mi> <mrow> <mo>(</mo> <mi>z</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>z</mi> </mrow> </mfrac> <mi>H</mi> <mrow> <mo>(</mo> <mi>z</mi> <mo>)</mo> </mrow> <mo>;</mo> </mrow> 2
Then the EVOLUTION EQUATION of level set is:
WithIt is the gray average of inside or outside of curve partial pixel.
5. the high-resolution panchromatic remote sensing image variation detection method according to claim 1 for taking snow covering influence into account, it is special Levy and be:Described in step 4 using overall accuracy, Kappa coefficients, change class accuracy and do not change class accuracy and carry out Precision evaluation, wherein:
Overall accuracy (OA) is the Baidu point ratio that the pixel number correctly classified accounts for all total pixel numbers, and it reflects overall detection The degree of accuracy;The pixel number wherein correctly classified eye diagonal in confusion matrix is distributed, the sum for being M11 and M22 in table 1 below; The change pixel number correctly detected in table is M11;The number for the change pixel that error detection goes out is M12;Error detection goes out Do not change pixel number for M12;What is correctly detected does not change pixel number for M22;
Table 1
Overall accuracy OA calculation formula is expressed as:
<mrow> <mi>O</mi> <mi>A</mi> <mo>=</mo> <mfrac> <mrow> <mi>M</mi> <mn>11</mn> <mo>+</mo> <mi>M</mi> <mn>22</mn> </mrow> <mi>T</mi> </mfrac> <mo>&amp;times;</mo> <mn>100</mn> <mi>%</mi> <mo>;</mo> </mrow>
Kappa coefficients are the methods of another evaluating precision, and the data calculation formula in confusion matrix is:
<mrow> <mi>K</mi> <mi>a</mi> <mi>p</mi> <mi>p</mi> <mi>a</mi> <mo>=</mo> <mfrac> <mrow> <mi>T</mi> <mo>&amp;times;</mo> <mrow> <mo>(</mo> <mi>M</mi> <mn>11</mn> <mo>+</mo> <mi>M</mi> <mn>22</mn> <mo>)</mo> </mrow> <mo>-</mo> <mrow> <mo>(</mo> <mi>A</mi> <mo>&amp;times;</mo> <mi>C</mi> <mo>+</mo> <mi>B</mi> <mo>&amp;times;</mo> <mi>D</mi> <mo>)</mo> </mrow> </mrow> <mrow> <msup> <mi>T</mi> <mn>2</mn> </msup> <mo>-</mo> <mrow> <mo>(</mo> <mi>A</mi> <mo>&amp;times;</mo> <mi>C</mi> <mo>+</mo> <mi>B</mi> <mo>&amp;times;</mo> <mi>D</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>;</mo> </mrow>
Accuracy is defined as the change class pixel detected and non-changing class pixel accounts for the percentage of very respective real image member number;Its Calculation formula is:
<mrow> <msub> <mi>P</mi> <mrow> <mi>t</mi> <mi>c</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mi>M</mi> <mn>11</mn> </mrow> <mi>A</mi> </mfrac> <mo>&amp;times;</mo> <mn>100</mn> <mi>%</mi> <mo>;</mo> <msub> <mi>P</mi> <mrow> <mi>t</mi> <mi>u</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mi>M</mi> <mn>22</mn> </mrow> <mi>B</mi> </mfrac> <mo>&amp;times;</mo> <mn>100</mn> <mi>%</mi> <mo>.</mo> </mrow> 4
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