CN104751185A - SAR image change detection method based on mean shift genetic clustering - Google Patents
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Abstract
本发明提出了一种基于均值漂移遗传聚类的SAR图像变化检测方法,其实现步骤为:(1)导入图像;(2)构造差异图像;(3)均值漂移滤波;(4)遗传模糊聚类;(5)分割差异图像;(6)输出结果。本发明既可以有效减少处于变化类和非变化类之间的区域对合成孔径雷达SAR图像变化检测结果的影响,抑制背合成孔径雷达SAR图像中的固有噪声,又结合了均值漂移滤波、模糊聚类的局部最优和遗传算法的全局寻优能力,加快了算法的收敛速度,减少检测结果中的漏检信息,具有较高的变化检测精度。
The present invention proposes a SAR image change detection method based on mean shift genetic clustering, and its realization steps are: (1) import image; (2) construct difference image; (3) mean shift filter; (4) genetic fuzzy clustering class; (5) segment the difference image; (6) output the result. The present invention can not only effectively reduce the influence of the area between the change class and the non-change class on the detection result of the synthetic aperture radar SAR image change, suppress the inherent noise in the back synthetic aperture radar SAR image, but also combine the mean shift filter, fuzzy aggregation The local optimum of the class and the global optimization ability of the genetic algorithm accelerate the convergence speed of the algorithm, reduce the missing information in the detection results, and have high change detection accuracy.
Description
技术领域technical field
本发明属于图像处理技术领域,更进一步涉及图像变化检测技术领域中的一种基于均值漂移遗传聚类的合成孔径雷达(Synthetic Aperture Radar,SAR)图像变化检测方法。本发明可应用于湖泊水位的动态检测、农作物生长状态的动态检测、城区规划、军事侦察等领域,检测地物随时间发生的变化。The invention belongs to the technical field of image processing, and further relates to a synthetic aperture radar (Synthetic Aperture Radar, SAR) image change detection method based on mean shift genetic clustering in the technical field of image change detection. The invention can be applied to the fields of dynamic detection of lake water level, dynamic detection of crop growth state, urban planning, military reconnaissance, etc., to detect changes of ground objects over time.
背景技术Background technique
SAR图像变化检测是通过分析同一地区不同时刻的多幅SAR图像,利用差异图像的灰度值将图像分为变化区域和不变区域,检测出该地区地物随时间发生变化的信息。合成孔径雷达SAR具有全天候、全天时的特点,不受天气影响,并具有一定的穿透能力,是很好的变化检测图像源,研究SAR图像变化检测技术有着非常广阔的应用前景。SAR image change detection is to analyze multiple SAR images in the same area at different times, and use the gray value of the difference image to divide the image into a changing area and an invariant area, and detect the information that the ground objects in the area change with time. Synthetic aperture radar (SAR) has the characteristics of all-weather and all-weather, is not affected by the weather, and has a certain penetration ability. It is a good source of change detection images. Research on SAR image change detection technology has a very broad application prospect.
模糊C均值聚类是一种应用最为广泛的基于聚类的变化检测方法,近年来,一系列基于模糊C均值聚类改进的方法被提出。Maoguo Gong,Zhiqiang Zhou,and JingjingMa在论文“Change Detection in Synthetic Aperture Radar Images based on Image Fusionand Fuzzy Clustering”(IEEE Transactions on Image Processing,2012,21(4):2141-2151)中提出了一种基于改进的FLICM(the reformulated FLICM,RFLICM)SAR图像变化检测方法,与已有的基于模糊C均值聚类的变化检测方法相比,该方法更精确的解决了图像的变化检测问题,但是,RFLICM在精确度和运算速度上仍有待改进。首先,RFLICM随机选取初始聚类中心,导致了该方法对聚类初始中心点十分敏感,而且,RFLICM是以目标函数作为基准点来进行聚类的,因此容易陷入局部最优。Fuzzy C-means clustering is the most widely used cluster-based change detection method. In recent years, a series of improved methods based on fuzzy C-means clustering have been proposed. Maoguo Gong, Zhiqiang Zhou, and JingjingMa proposed an improved The FLICM (the reformulated FLICM, RFLICM) SAR image change detection method, compared with the existing change detection method based on fuzzy C-means clustering, this method more accurately solves the problem of image change detection. There is still room for improvement in terms of accuracy and computing speed. First, RFLICM randomly selects the initial clustering center, which makes the method very sensitive to the initial center point of clustering. Moreover, RFLICM uses the objective function as the reference point for clustering, so it is easy to fall into local optimum.
西安电子科技大学在其申请的专利“一种基于遗传核模糊聚类的SAR图像变化检测方法”(专利申请号:201410497802.8,公开号:CN104268574A)中公开了一种遗传核模糊聚类SAR图像变化检测方法。该方法对两幅SAR图像求差异图和灰度矩阵,使用遗传模糊聚类获得种群,根据种群计算分割阈值,并根据分割阈值完成对差异图的分割,得到变化检测的结果。该方法结合了遗传算法的全局搜索能力和核模糊聚类算法的局部搜索能力,加快了算法的收敛速度速度,有效减小了算法的运算速度。但是该方法仍然存在的不足之处是,难以选择合适的核函数,且不能很好的去除SAR图像中的固有噪声,对噪声点敏感,降低了变化检测的精度。Xidian University disclosed a genetic kernel fuzzy clustering SAR image change detection method in its patent application "A SAR image change detection method based on genetic kernel fuzzy clustering" (patent application number: 201410497802.8, publication number: CN104268574A) Detection method. This method calculates the difference map and gray matrix of two SAR images, uses genetic fuzzy clustering to obtain the population, calculates the segmentation threshold according to the population, and completes the segmentation of the difference map according to the segmentation threshold, and obtains the result of change detection. This method combines the global search ability of the genetic algorithm and the local search ability of the kernel fuzzy clustering algorithm, accelerates the convergence speed of the algorithm, and effectively reduces the operation speed of the algorithm. However, this method still has the disadvantages that it is difficult to choose a suitable kernel function, and it cannot remove the inherent noise in SAR images well, and it is sensitive to noise points, which reduces the accuracy of change detection.
王浩然在其申请的专利“基于非局部均值的SAR图像变化检测方法”(专利申请号:201310529323.5,公开号:CN103927737A)中公开了一种基于非均值滤波SAR图像变化检测方法。该方法包括对同一地域不同时间获取的两幅SAR图像进行预处理;利用预处理后两幅SAR图像构造比值差异影像图;遍历比值差异影像图每个像素,计算每个像素点的平滑指数矩阵;对预处理后两幅SAR图像分别进行非局部均值滤波后作比值运算得非局部均值滤波比值图;用平滑指数作为权重,将比值差异影像图和非局部均值滤波比值图像求和得到最终的差异影像图;运用模糊局部C均值聚类法分割该最终的差异影像图得到变化检测结果图。该方法虽然有效抑制了噪声,更好地表现真实变化信息,提高了变化检测结果精确度。但是仍然存在的不足之处是,完成不同像素点之间的相似度计算以及搜索会耗费大量的计算时间,时间复杂度高,且不能有效减少处于变化类和非变化类之间的区域对变化检测结果的影响,降低了变化检测的精度。Wang Haoran disclosed a SAR image change detection method based on non-mean filtering in his patent application "SAR image change detection method based on non-local mean value" (patent application number: 201310529323.5, publication number: CN103927737A). The method includes preprocessing two SAR images acquired at different times in the same region; using the preprocessed two SAR images to construct a ratio difference image map; traversing each pixel of the ratio difference image map, and calculating the smoothness index matrix of each pixel ; Perform non-local mean filtering on the two SAR images after preprocessing, and then perform a ratio operation to obtain a non-local mean filtering ratio map; use the smoothing index as a weight, sum the ratio difference image map and the non-local mean filtering ratio image to obtain the final A difference image map; using the fuzzy local C-means clustering method to segment the final difference image map to obtain a change detection result map. Although this method effectively suppresses the noise, it can better represent the real change information and improve the accuracy of the change detection results. However, there are still shortcomings in that it takes a lot of computing time to complete the similarity calculation and search between different pixels, the time complexity is high, and it cannot effectively reduce the change of the region pair between the changed class and the non-changed class. The impact of detection results reduces the accuracy of change detection.
发明内容Contents of the invention
本发明的目的在于克服上述已有技术的不足,提出了一种基于均值漂移遗传聚类的SAR图像变化检测方法。结合了均值漂移滤波、模糊聚类算法的局部最优和遗传算法的全局寻优能力,很好地去除合成孔径雷达SAR图像中的固有噪声,减少了检测结果中的漏检信息,具有较高的变化检测精度,加快了算法的收敛速度。The purpose of the present invention is to overcome the above-mentioned deficiencies in the prior art, and propose a SAR image change detection method based on mean shift genetic clustering. Combining the mean shift filter, the local optimum of the fuzzy clustering algorithm and the global optimization ability of the genetic algorithm, the inherent noise in the synthetic aperture radar SAR image is well removed, and the missed detection information in the detection result is reduced. The change detection accuracy of the algorithm speeds up the convergence speed of the algorithm.
本发明实现上述目的的思路是:在构造完差异图像后,首先对差异图像进行均值漂移滤波,得到去噪后差异图像,其次对去噪后差异图像进行模糊遗传聚类,得到去噪后差异图像的聚类中心,然后利用去噪后差异图像的聚类中心得到分割阈值,对去噪后差异图像进行分割,得到合成孔径雷达SAR图像的变化检测结果图。The idea of the present invention to achieve the above purpose is: after constructing the difference image, firstly perform mean shift filtering on the difference image to obtain the difference image after denoising, and then perform fuzzy genetic clustering on the difference image after denoising to obtain the difference image after denoising The clustering center of the image, and then use the clustering center of the difference image after denoising to obtain the segmentation threshold, segment the difference image after denoising, and obtain the change detection result map of the synthetic aperture radar SAR image.
为了实现上述目的,本发明的具体实现步骤如下:In order to achieve the above object, the concrete realization steps of the present invention are as follows:
一种基于均值漂移遗传聚类的SAR图像变化检测方法,包括如下步骤:A SAR image change detection method based on mean shift genetic clustering, comprising the steps of:
(1)导入图像:(1) Import image:
导入同一地区、不同时刻获取的两幅大小相同的合成孔径雷达SAR图像;Import two synthetic aperture radar SAR images of the same size acquired at different times in the same area;
(2)构造差异图像:(2) Construct difference image:
(2a)计算两幅合成孔径雷达SAR图像的邻域差值图像;(2a) Calculate the neighborhood difference image of two synthetic aperture radar SAR images;
(2b)计算两幅合成孔径雷达SAR图像的邻域比值图像;(2b) Calculate the neighborhood ratio image of two synthetic aperture radar SAR images;
(2c)计算两幅合成孔径雷达SAR图像的邻域差值图像和两幅合成孔径雷达SAR图像的邻域比值图像融合后的归一化差异图像;(2c) Calculate the normalized difference image after the fusion of the neighborhood difference image of the two synthetic aperture radar SAR images and the neighborhood ratio image of the two synthetic aperture radar SAR images;
(3)均值漂移滤波:(3) Mean shift filtering:
(3a)利用核密度估计方法,得到两幅合成孔径雷达SAR图像的邻域差值图像和两幅合成孔径雷达SAR图像的邻域比值图像融合后的差异图像每个像素点的核密度值;(3a) Using the kernel density estimation method, obtain the kernel density value of each pixel in the difference image after fusion of the neighborhood difference image of the two synthetic aperture radar SAR images and the neighborhood ratio image of the two synthetic aperture radar SAR images;
(3b)将融合后的归一化差异图像每个像素点的灰度值与步骤(3a)得到融合后的差异图像的每个像素点的核密度值作减法运算,并对减法运算结果取绝对值;(3b) Subtract the gray value of each pixel of the fused normalized difference image from the kernel density value of each pixel of the fused difference image obtained in step (3a), and take the result of the subtraction absolute value;
(3c)判断绝对值是否小于设定的阈值,若是,则执行步骤(3d);否则,执行步骤(3a);(3c) judging whether the absolute value is less than the set threshold, if so, execute step (3d); otherwise, execute step (3a);
(3d)将绝对值作为差异图像的像素点灰度值,得到去噪后差异图像;(3d) Using the absolute value as the pixel gray value of the difference image to obtain the difference image after denoising;
(4)遗传模糊聚类:(4) Genetic fuzzy clustering:
(4a)初始化去噪后差异图像的第一代种群;(4a) Initialize the first-generation population of the difference image after denoising;
(4b)按照下式,计算去噪后差异图像的第一代种群全局划分指标:(4b) According to the following formula, calculate the global division index of the first-generation population of the difference image after denoising:
其中,J(t)表示去噪后差异图像的的第一代种群全局划分指标,t表示去噪后差异图像的第一代种群的进化次数,Σ表示求和操作,i表示去噪后差异图像的聚类中心中的第i个类的序号,c表示去噪后差异图像的聚类个数,j表示去噪后差异图像的第j个像素点的序号,n表示去噪后差异图像总像素点个数,μij表示去噪后差异图像的第j个像素点隶属于去噪后差异图像的聚类中心中第i类的隶属度,μij取值范围为[0,1],且必须满足的约束条件,m表示模糊指数因子,m为取值大于1的正数,dij 2表示去噪后差异图像的第j个像素点到去噪后差异图像的聚类中心中第i类的距离,H(j)表示融合后的归一化差异图像的第j个像素点的灰度值;Among them, J(t) represents the global division index of the first generation population of the difference image after denoising, t represents the evolution times of the first generation population of the difference image after denoising, Σ represents the sum operation, and i represents the difference after denoising The number of the i-th class in the cluster center of the image, c indicates the number of clusters of the difference image after denoising, j indicates the number of the jth pixel of the difference image after denoising, n indicates the difference image after denoising The total number of pixels, μ ij represents the degree of membership of the jth pixel of the denoised difference image belonging to the i-th class in the cluster center of the denoised difference image, and the value range of μ ij is [0, 1] , and must satisfy Constraint conditions, m represents the fuzzy index factor, m is a positive number with a value greater than 1, d ij 2 represents the jth pixel point of the difference image after denoising to the i-th class in the cluster center of the difference image after denoising Distance, H(j) represents the gray value of the jth pixel of the fused normalized difference image;
(4c)按照下式,计算去噪后差异图像的第一代种群的个体适应度:(4c) According to the following formula, calculate the individual fitness of the first generation population of the difference image after denoising:
其中,f(t)表示去噪后差异图像的第一代种群的个体适应度,t表示去噪后差异图像的第一代种群的进化次数,J(t)表示去噪后差异图像的全局划分指标;Among them, f(t) represents the individual fitness of the first generation population of the difference image after denoising, t represents the evolution times of the first generation population of the difference image after denoising, J(t) represents the global division index;
(4d)采用遗传操作获得去噪后差异图像的下一代种群;(4d) A next-generation population of denoised difference images is obtained using genetic manipulation;
(4e)按照步骤(4c)中的方法计算去噪后差异图像的下一代种群中每个个体的适应度;(4e) Calculate the fitness of each individual in the next generation population of the difference image after denoising according to the method in step (4c);
(4f)判断去噪后差异图像的下一代种群是否稳定,若是,则执行步骤(4g);否则,执行步骤(4d);(4f) Determine whether the next-generation population of the difference image after denoising is stable, if so, perform step (4g); otherwise, perform step (4d);
(4g)计算去噪后差异图像的下一代种群的适应度最大值;(4g) calculating the fitness maximum value of the next generation population of the difference image after denoising;
(4h)将去噪后差异图像的下一代种群的适应度最大值的个体作为去噪后差异图像的聚类中心;(4h) taking the individual with the maximum fitness value of the next generation population of the difference image after denoising as the cluster center of the difference image after denoising;
(5)分割差异图像:(5) Segment difference image:
(5a)按照下式,计算去噪后差异图像的隶属度矩阵的元素:(5a) Calculate the elements of the membership degree matrix of the difference image after denoising according to the following formula:
其中,μij表示去噪后差异图像的隶属度矩阵的元素,i表示去噪后差异图像的聚类中心中第i个类的序号,j表示去噪后差异图像的第j个像素点的序号,Σ表示求和操作,k表示去噪后差异图像聚类中心中第k个类的序号,c表示去噪后差异图像的聚类个数,||·||表示求欧式距离操作,Yj表示去噪后差异图像的第j个像素点灰度值,Vi表示去噪后差异图像的第i个聚类中心,dkj 2表示去噪后差异图像的第j个像素点到去噪后差异图像第k类的聚类中心距离,m表示模糊指数因子,m为取值大于1的正数;Among them, μ ij represents the element of the membership matrix of the difference image after denoising, i represents the serial number of the i-th class in the cluster center of the difference image after denoising, and j represents the number of the j-th pixel of the difference image after denoising Sequence number, Σ represents the summation operation, k represents the sequence number of the kth class in the clustering center of the difference image after denoising, c represents the number of clusters of the difference image after denoising, ||·|| represents the Euclidean distance operation, Y j represents the gray value of the jth pixel of the difference image after denoising, V i represents the ith cluster center of the difference image after denoising, d kj 2 represents the jth pixel point of the difference image after denoising to The cluster center distance of the kth class of the difference image after denoising, m represents the fuzzy index factor, and m is a positive number with a value greater than 1;
(5b)求去噪后差异图像的隶属度矩阵所有元素最小值所在的行数;(5b) Find the number of rows where the minimum value of all elements of the degree of membership matrix of the difference image after denoising is located;
(5c)将步骤(5b)获得的最小值所在的行数作为去噪后差异图像的分割阈值;(5c) the number of rows where the minimum value obtained in step (5b) is used as the segmentation threshold of the difference image after denoising;
(5d)判断去噪后差异图像每个像素点的灰度值是否小于去噪后差异图像的分割阈值,若是,执行步骤(5e);否则,执行步骤(5f);(5d) Determine whether the gray value of each pixel of the difference image after denoising is less than the segmentation threshold of the difference image after denoising, if so, perform step (5e); otherwise, perform step (5f);
(5e)将小于去噪后差异图像的分割阈值像素点,归为去噪后差异图像的非变化类;(5e) classify the segmentation threshold pixel points smaller than the difference image after denoising into the non-change class of the difference image after denoising;
(5f)将大于等于去噪后差异图像的分割阈值像素点,归为去噪后差异图像的变化类;(5f) classify the segmentation threshold pixel points greater than or equal to the difference image after denoising into the change class of the difference image after denoising;
(6)输出结果:(6) Output result:
对得到的去噪后差异图像的非变化类和去噪后差异图像的变化类,得到两幅合成孔径雷达SAR图像的变化检测的结果图。For the non-change class of the difference image after denoising and the change class of the difference image after denoising, the change detection result maps of two synthetic aperture radar SAR images are obtained.
本发明与现有技术相比具有以下优点:Compared with the prior art, the present invention has the following advantages:
第一,由于本发明在构造差异图像的过程中,采用了对两幅合成孔径雷达SAR图像的邻域差值图像和两幅合成孔径雷达SAR图像的邻域比值图像进行融合的方法,很大程度地抑制了背景信息,且抑制了斑点噪声,有效减少了处于变化类和非变化类之间的区域对合成孔径雷达SAR图像变化检测结果的影响,克服了现有技术对处于变化类和非变化类之间的区域存在较多漏检信息的缺点,使得本发明提高了合成孔径SAR图像变化检测的精度。First, because the present invention adopts the method of fusing the neighborhood difference image of two synthetic aperture radar SAR images and the neighborhood ratio image of two synthetic aperture radar SAR images in the process of constructing the difference image, it is very large The background information is suppressed to a certain extent, and the speckle noise is suppressed, which effectively reduces the influence of the area between the change class and the non-change class on the change detection results of the synthetic aperture radar SAR image, and overcomes the existing technology's influence on the change class and the non-change class. The region between the change classes has the disadvantage of more missed detection information, so that the present invention improves the accuracy of the change detection of the synthetic aperture SAR image.
第二,由于本发明在均值漂移滤波的过程中,采用核密度估计方法计算两幅合成孔径雷达SAR图像的邻域差值图像和两幅合成孔径雷达SAR图像的邻域比值图像融合后的差异图像每个像素点的核密度值,抑制了合成孔径SAR图像中的固有噪声,克服了现有技术对噪声点敏感的缺点,使得本发明的鲁棒性得到了提高。Second, because the present invention uses the kernel density estimation method to calculate the difference after the fusion of the neighborhood difference image of two synthetic aperture radar SAR images and the neighborhood ratio image of two synthetic aperture radar SAR images in the process of mean shift filtering The kernel density value of each pixel of the image suppresses the inherent noise in the synthetic aperture SAR image, overcomes the shortcoming of the prior art that is sensitive to noise points, and improves the robustness of the present invention.
第三,由于本发明在遗传模糊聚类的过程中,采用了遗传操作,加快了算法的收敛速度,克服了现有技术耗费大量的计算时间且存在较多漏检信息的缺点,使得本发明提高了合成孔径雷达SAR图像变化检测的精度。Third, because the present invention uses genetic operations in the process of genetic fuzzy clustering, which speeds up the convergence speed of the algorithm and overcomes the shortcomings of the prior art that consume a large amount of computing time and have more missing information, making the present invention Improves the accuracy of change detection in synthetic aperture radar SAR images.
附图说明Description of drawings
图1为本发明的流程图;Fig. 1 is a flow chart of the present invention;
图2为本发明的仿真图。Fig. 2 is a simulation diagram of the present invention.
具体实施方式detailed description
下面结合附图,对本发明的步骤做进一步的详细描述。The steps of the present invention will be described in further detail below in conjunction with the accompanying drawings.
参照附图1,本发明的具体步骤如下。With reference to accompanying drawing 1, concrete steps of the present invention are as follows.
步骤1,导入图像。Step 1, import the image.
导入同一地区、不同时刻获取的两幅大小相同的合成孔径雷达SAR图像。Import two synthetic aperture radar SAR images of the same size acquired at different times in the same area.
步骤2,构造差异图像。Step 2, Construct difference image.
按照下式,计算两幅合成孔径雷达SAR图像的邻域差值图像:Calculate the neighborhood difference image of two synthetic aperture radar SAR images according to the following formula:
其中,S表示两幅合成孔径雷达SAR图像的邻域差值图像,|·|表示求绝对值操作,Σ表示求和操作,X1(i,j)表示第一幅合成孔径雷达SAR图像在i、j位置上所对应的像素点邻域集合,X2(i,j)表示第二幅合成孔径雷达SAR图像在i、j位置上所对应的像素点邻域集合,H表示两幅合成孔径雷达SAR图像邻域的边长,其取值为3。Among them, S represents the neighborhood difference image of two SAR SAR images, |·| represents the absolute value operation, Σ represents the sum operation, X 1 (i,j) represents the first SAR SAR image The set of neighborhoods of pixels corresponding to positions i and j, X 2 (i, j) represents the set of neighborhoods of pixels corresponding to positions i and j of the second synthetic aperture radar SAR image, H represents the two synthetic aperture radar SAR images The side length of the aperture radar SAR image neighborhood, its value is 3.
按照下式,计算两幅合成孔径雷达SAR图像的邻域比值图像:Calculate the neighborhood ratio image of two synthetic aperture radar SAR images according to the following formula:
其中,R表示两幅合成孔径雷达SAR图像的邻域比值图像,i表示两幅合成孔径雷达SAR图像同处于第i个像素点的序号,L表示两幅合成孔径雷达SAR图像邻域的边长,L取值为3,Σ表示求和操作,min表示求最小值操作,N1(i)表示第一幅合成孔径雷达SAR图像第i个像素点的邻域集合,N2(i)表示第二幅合成孔径雷达SAR图像第i个像素点的邻域集合,max表示求最大值操作。Among them, R represents the neighborhood ratio image of two SAR SAR images, i represents the serial number of the i-th pixel of the two SAR SAR images, and L represents the side length of the neighborhood of the two SAR SAR images , the value of L is 3, Σ represents the summation operation, min represents the minimum value operation, N 1 (i) represents the neighborhood set of the i-th pixel in the first synthetic aperture radar SAR image, N 2 (i) represents The neighborhood set of the i-th pixel in the second synthetic aperture radar SAR image, and max indicates the maximum value operation.
按照下式,计算两幅合成孔径雷达SAR图像的邻域差值图像和两幅合成孔径雷达SAR图像的邻域比值图像融合后的差异图像:According to the following formula, the difference image after the fusion of the neighborhood difference image of two SAR images and the neighborhood ratio image of two SAR SAR images is calculated:
其中,X(x,y)表示,x、y表示两幅合成孔径雷达SAR图像的邻域差值图像聚类中心的位置,i、j表示两幅合成孔径雷达SAR图像的邻域差值图像的邻域集合的中心像素点位置,∈表示取集合元素操作,Mx,y表示两幅合成孔径雷达SAR图像的邻域差值图像的邻域集合,两幅合成孔径雷达SAR图像的邻域差值图像的邻域边长大小为L,L取值为7,Σ表示求和操作,exp表示指数操作,|·|表示求绝对值操作,h(i,j)表示两幅合成孔径雷达SAR图像的邻域差值图像在i、j位置上所对应的像素点灰度值,h(x,y)表示两幅合成孔径雷达SAR图像的邻域差值图像在x、y位置上所对应的像素点灰度值,δ表示调整参数,其取值为1,d表示两幅合成孔径雷达SAR图像的邻域差值图像中i、j位置到两幅合成孔径雷达SAR图像的邻域差值图像聚类中心位置x、y的欧氏距离,μ表示调整参数,其取值为1,R(i,j)表示两幅合成孔径雷达SAR图像的邻域比值图像在i、j位置上所对应的像素点灰度值。Among them, X(x, y) represents, x, y represents the position of the clustering center of the neighborhood difference image of two SAR images, i, j represent the neighborhood difference image of two SAR SAR images The position of the center pixel of the neighborhood set of , ∈ represents the operation of taking set elements, M x, y represents the neighborhood set of the neighborhood difference image of two SAR SAR images, and the neighborhood of two SAR SAR images The size of the neighborhood side of the difference image is L, and the value of L is 7. Σ represents the sum operation, exp represents the exponential operation, |·| represents the absolute value operation, and h(i,j) represents two synthetic aperture radar images The gray value of the pixel point corresponding to the neighborhood difference image of the SAR image at position i and j, h(x, y) represents the difference between the neighborhood difference images of two synthetic aperture radar SAR images at positions x and y Corresponding pixel gray value, δ represents the adjustment parameter, and its value is 1, d represents the neighborhood of the i, j position in the neighborhood difference image of the two synthetic aperture radar SAR images to the two synthetic aperture radar SAR images The Euclidean distance between the center positions x and y of the difference image clustering, μ represents the adjustment parameter, and its value is 1, and R(i, j) represents the neighborhood ratio image of two synthetic aperture radar SAR images at positions i and j The gray value of the pixel corresponding to above.
利用线性函数法,对两幅合成孔径雷达SAR图像的邻域差值图像和两幅合成孔径雷达SAR图像的邻域比值图像融合后的差异图像进行归一化处理,得到融合后的归一化差异图像每个像素点的灰度值。Using the linear function method, the difference image after the fusion of the neighborhood difference image of two synthetic aperture radar SAR images and the neighborhood ratio image of two synthetic aperture radar SAR images is normalized, and the normalized value after fusion is obtained. The gray value of each pixel in the difference image.
步骤3,均值漂移滤波。Step 3, mean shift filtering.
第1步,利用核密度估计方法,得到两幅合成孔径雷达SAR图像的邻域差值图像和两幅合成孔径雷达SAR图像的邻域比值图像融合后的差异图像每个像素点的核密度值。The first step is to use the kernel density estimation method to obtain the kernel density value of each pixel in the fused difference image of the neighborhood difference image of two synthetic aperture radar SAR images and the neighborhood ratio image of two synthetic aperture radar SAR images .
第2步,将融合后的归一化差异图像每个像素点的灰度值与融合后的差异图像的每个像素点的核密度值作减法运算,并对减法运算结果取绝对值。In the second step, the gray value of each pixel of the fused normalized difference image is subtracted from the kernel density value of each pixel of the fused difference image, and the absolute value of the subtraction result is taken.
第3步,判断绝对值是否小于设定的阈值,若是,则执行本步骤的第4步;否则,执行本步骤的第1步。Step 3, judge whether the absolute value is smaller than the set threshold, if yes, execute step 4 of this step; otherwise, execute step 1 of this step.
第4步,将绝对值作为差异图像的像素点灰度值,得到去噪后差异图像。In step 4, the absolute value is used as the pixel gray value of the difference image to obtain the difference image after denoising.
步骤4,遗传模糊聚类。Step 4, genetic fuzzy clustering.
第1步,初始化去噪后差异图像的第一代种群,将去噪后差异图像的第一代种群的聚类中心个数即去噪后差异图像的聚类个数设定为2、种群个体数目设定为30、最大进化次数设定为100、终止条件阈值范围设定为10-8,将随机选择去噪后差异图像的像素点灰度值,作为去噪后差异图像的初始聚类中心值。Step 1: Initialize the first-generation population of the difference image after denoising, and set the number of cluster centers of the first-generation population of the difference image after denoising, that is, the number of clusters of the difference image after denoising, to 2. The number of individuals is set to 30, the maximum number of evolutions is set to 100, and the threshold range of the termination condition is set to 10 -8 , the pixel gray value of the difference image after denoising is randomly selected as the initial aggregation of the difference image after denoising. class center value.
第2步,按照下式,计算去噪后差异图像的第一代种群全局划分指标:Step 2, according to the following formula, calculate the global division index of the first-generation population of the difference image after denoising:
其中,J(t)表示去噪后差异图像的的第一代种群全局划分指标,t表示去噪后差异图像的第一代种群的进化次数,Σ表示求和操作,i表示去噪后差异图像的聚类中心中的第i个类的序号,c表示去噪后差异图像的聚类个数,j表示去噪后差异图像的第j个像素点的序号,n表示去噪后差异图像总像素点个数,μij表示去噪后差异图像的第j个像素点隶属于去噪后差异图像的聚类中心中第i类的隶属度,μij取值范围为[0,1],且必须满足的约束条件,m表示模糊指数因子,m取值为2,dij 2表示去噪后差异图像的第j个像素点到去噪后差异图像的聚类中心中第i类的距离,H(j)表示融合后的归一化差异图像的第j个像素点的灰度值。Among them, J(t) represents the global division index of the first generation population of the difference image after denoising, t represents the evolution times of the first generation population of the difference image after denoising, Σ represents the sum operation, and i represents the difference after denoising The number of the i-th class in the cluster center of the image, c indicates the number of clusters of the difference image after denoising, j indicates the number of the jth pixel of the difference image after denoising, n indicates the difference image after denoising The total number of pixels, μ ij represents the degree of membership of the jth pixel of the denoised difference image belonging to the i-th class in the cluster center of the denoised difference image, and the value range of μ ij is [0, 1] , and must satisfy Constraint conditions, m represents the fuzzy index factor, the value of m is 2, d ij 2 represents the distance from the jth pixel of the denoised difference image to the i-th class in the cluster center of the denoised difference image, H( j) represents the gray value of the jth pixel of the fused normalized difference image.
第3步,按照下式,计算去噪后差异图像的第一代种群的个体适应度:Step 3, according to the following formula, calculate the individual fitness of the first generation population of the difference image after denoising:
其中,f(t)表示去噪后差异图像的第一代种群的个体适应度,t表示去噪后差异图像的第一代种群的进化次数,J(t)表示去噪后差异图像的全局划分指标。Among them, f(t) represents the individual fitness of the first generation population of the difference image after denoising, t represents the evolution times of the first generation population of the difference image after denoising, J(t) represents the global Divide indicators.
第4步,采用行遗传算法的选择、交叉和变异操作,获得去噪后差异图像的下一代种群。Step 4, using the selection, crossover and mutation operations of the genetic algorithm to obtain the next generation population of the difference image after denoising.
第5步,按照第3步的方法计算去噪后差异图像的下一代种群中每个个体的适应度。In step 5, calculate the fitness of each individual in the next generation population of the difference image after denoising according to the method in step 3.
第6步,判断去噪后差异图像的下一代种群是否稳定,若是,则执行本步骤的第7步;否则,执行本步骤的第4步。Step 6, judge whether the next-generation population of the difference image after denoising is stable, if so, execute step 7 of this step; otherwise, execute step 4 of this step.
第7步,计算去噪后差异图像的下一代种群的适应度最大值。Step 7, calculate the maximum fitness value of the next generation population of the difference image after denoising.
第8步,将去噪后差异图像的下一代种群的适应度最大值的个体作为去噪后差异图像的聚类中心。In step 8, the individual with the maximum fitness of the next generation population of the difference image after denoising is used as the cluster center of the difference image after denoising.
步骤5,分割差异图像。Step 5, segment the difference image.
第1步,按照下式,计算去噪后差异图像的隶属度矩阵的元素:In the first step, calculate the elements of the membership degree matrix of the difference image after denoising according to the following formula:
其中,μij表示去噪后差异图像的隶属度矩阵的元素,i表示去噪后差异图像的聚类中心中第i个类的序号,j表示去噪后差异图像的第j个像素点的序号,Σ表示求和操作,k表示去噪后差异图像聚类中心中第k个类的序号,c表示去噪后差异图像的聚类个数,||·||表示求欧式距离操作,Yj表示去噪后差异图像的第j个像素点灰度值,Vi表示去噪后差异图像的第i个聚类中心,dkj 2表示去噪后差异图像的第j个像素点到去噪后差异图像第k类的聚类中心距离,m表示模糊指数因子,m取值为2。Among them, μ ij represents the element of the membership matrix of the difference image after denoising, i represents the serial number of the i-th class in the cluster center of the difference image after denoising, and j represents the number of the j-th pixel of the difference image after denoising Sequence number , Σ indicates the sum operation, k indicates the serial number of the kth class in the clustering center of the difference image after denoising, c indicates the number of clusters of the difference image after denoising, ||·|| indicates the Euclidean distance operation, Y j represents the gray value of the jth pixel of the difference image after denoising, V i represents the ith cluster center of the difference image after denoising, d kj 2 represents the jth pixel point of the difference image after denoising to The cluster center distance of the k-th class of the difference image after denoising, m represents the fuzzy index factor, and the value of m is 2.
第2步,求去噪后差异图像的隶属度矩阵所有元素最小值所在的行数。The second step is to calculate the number of rows where the minimum value of all elements of the membership degree matrix of the difference image after denoising is located.
第3步,将噪后差异图像的隶属度矩阵所有元素最小值所在的行数作为去噪后差异图像的分割阈值。In the third step, the row number of the minimum value of all elements of the membership degree matrix of the post-noise difference image is used as the segmentation threshold of the post-noise difference image.
第4步,判断去噪后差异图像每个像素点的灰度值是否小于去噪后差异图像的分割阈值,若是,则执行本步骤的第5步;否则,执行本步骤的第6步。Step 4, judge whether the gray value of each pixel of the difference image after denoising is smaller than the segmentation threshold of the difference image after denoising, if so, perform step 5 of this step; otherwise, perform step 6 of this step.
第5步,将小于去噪后差异图像的分割阈值像素点,归为去噪后差异图像的非变化类。Step 5: Classify the segmentation threshold pixel points smaller than the difference image after denoising into the non-change class of the difference image after denoising.
第6步,将大于等于去噪后差异图像的分割阈值像素点,归为去噪后差异图像的变化类。In the sixth step, the segmentation threshold pixel points greater than or equal to the difference image after denoising are classified into the change class of the difference image after denoising.
步骤6,输出结果。Step 6, output the result.
对得到的去噪后差异图像的非变化类和去噪后差异图像的变化类,然后对去噪后差异图像的像素依据分类的结果进行二值化,得到两幅合成孔径雷达SAR图像的变化检测的结果图。The non-change class of the difference image after denoising and the change class of the difference image after denoising are obtained, and then the pixels of the difference image after denoising are binarized according to the classification results to obtain the change of two synthetic aperture radar SAR images The result graph of the test.
下面结合附图2对本发明的仿真结果做进一步的描述。The simulation results of the present invention will be further described below in conjunction with FIG. 2 .
1.仿真环境:1. Simulation environment:
本发明的仿真是在计算机配置为core 22.26GHZ,内存1G,WINDOWS XP系统和计算机软件配置为MATLAB 2010环境下进行的。The emulation of the present invention is that core 22.26GHZ is configured in computer, memory 1G, WINDOWS XP system and computer software are configured to carry out under MATLAB 2010 environment.
2.仿真内容:2. Simulation content:
本发明仿真所用数据为两组合成孔径雷达SAR图像数据集。第一组合成孔径SAR图像数据集是英国Feltwell村庄农田区的合成孔径雷达SAR图像,两幅图大小均为470×335像素,两幅图像之间发生的变化是由通过模拟地球的天气变化和电磁波的辐射特性等因素影响并人工的嵌入一些变化信息所引起的。第二组数据集是瑞士Bern地区合成孔径雷达SAR图像,两幅图像的大小均为301×301像素,两幅图像之间发生的变化是由于Bern郊区附近水灾引起的。The data used in the simulation of the present invention are two sets of synthetic aperture radar SAR image data sets. The first synthetic aperture SAR image data set is the synthetic aperture radar SAR image of the farmland area of the village of Feltwell in the United Kingdom. The size of the two images is 470×335 pixels. It is caused by factors such as the radiation characteristics of electromagnetic waves and artificially embedding some change information. The second set of data sets are synthetic aperture radar SAR images in Bern, Switzerland. The size of the two images is 301×301 pixels. The changes between the two images are caused by floods near the suburbs of Bern.
附图2(a)为第一组合成孔径雷达SAR图像数据集采用模糊C均值变化检测方法的结果图。附图2(b)为第一组合成孔径雷达SAR图像数据集采用FLICM变化检测方法的结果图。附图2(c)为第一组合成孔径雷达SAR图像数据集采用RFLICM变化检测方法的结果图。附图2(d)为第一组合成孔径雷达SAR图像数据集采用本发明的结果图。附图2(e)为第二组合成孔径雷达SAR图像数据集采用模糊C均值变化检测方法的结果图。附图2(f)为第二组合成孔径雷达SAR图像数据集采用FLICM变化检测方法的结果图。附图2(g)为第二组合成孔径雷达SAR图像数据集采用RFLICM变化检测方法的结果图。附图2(h)为第二组合成孔径雷达SAR图像数据集采用本发明的结果图。八幅结果图中的白色区域均为变化区域,黑色区域均为非变化区域。Accompanying drawing 2 (a) is the result diagram of using the fuzzy C-means change detection method for the first combined synthetic aperture radar SAR image data set. Accompanying drawing 2 (b) is the result diagram of using the FLICM change detection method for the first combined SAR SAR image data set. Accompanying drawing 2 (c) is the result diagram of using the RFLICM change detection method for the first combined synthetic aperture radar SAR image data set. Accompanying drawing 2 (d) is the result diagram of adopting the present invention for the first combined synthetic aperture radar SAR image data set. Accompanying drawing 2 (e) is the result figure of adopting fuzzy C-means change detection method in the second combined SAR image data set. Accompanying drawing 2 (f) is the result figure that adopts FLICM change detection method for the second combined aperture radar SAR image data set. Accompanying drawing 2 (g) is the result figure that adopts the RFLICM change detection method of the second combined aperture radar SAR image data set. Accompanying drawing 2 (h) is the second combined aperture radar SAR image data set adopting the result diagram of the present invention. The white areas in the eight result maps are all changing areas, and the black areas are all non-changing areas.
3.仿真结果分析:3. Simulation result analysis:
观察附图2(a)的白色区域,可以看出采用现有技术的模糊C均值合成孔径雷达SAR图像变化检测方法,对第一组合成孔径雷达SAR图像的变化检测结果存在较多的噪声。Observing the white area in Fig. 2(a), it can be seen that using the fuzzy C-means synthetic aperture radar SAR image change detection method of the prior art, there is more noise in the change detection result of the first combined synthetic aperture radar SAR SAR image.
观察附图2(b)的白色区域,可以看出采用现有技术的模糊局部信息C均值FLICM合成孔径雷达SAR图像变化检测方法,对第一组合成孔径雷达SAR图像的变化检测结果,相比附图2(a)采用现有技术的模糊C均值合成孔径雷达SAR图像变化检测方法有了改进,但是还存在很多的误检信息。Observing the white area in Figure 2(b), it can be seen that using the prior art fuzzy local information C-mean FLICM synthetic aperture radar SAR image change detection method, the change detection results of the first combination of synthetic aperture radar SAR images are better than those in the attached Figure 2(a) The fuzzy C-means synthetic aperture radar SAR image change detection method using the prior art has been improved, but there are still many false detection information.
观察附图2(c)的白色区域,可以看出采用现有技术的改进的模糊局部信息C均值FLICM合成孔径雷达SAR图像变化检测方法,对第一组合成孔径雷达SAR图像的变化检测结果,相比附图2(a)和附图(2b)的合成孔径雷达SAR图像变化检测结果均有改进,但是平滑了变化区域的边缘信息,还存在一些误检信息。Observing the white area in Figure 2(c), it can be seen that the change detection result of the first combined SAR SAR image using the improved fuzzy local information C-mean FLICM synthetic aperture radar SAR image change detection method of the prior art, Compared with Fig. 2(a) and Fig. 2b, the change detection results of synthetic aperture radar SAR image are improved, but the edge information of the change area is smoothed, and there are still some false detection information.
对比附图2(d)和附图2(a)、附图2(b)、附图2(c)中的白色区域,可以看出由于本发明采用了均值漂移滤波,有效抑制了合成孔径雷达SAR图像的固有噪声,又结合了模糊聚类的局部最优和遗传算法的全局寻优能力,加快了算法的收敛速度,减少检测结果中的漏检信息,具有最高的变化检测精度。Comparing the white areas in accompanying drawing 2(d) and accompanying drawing 2(a), accompanying drawing 2(b), accompanying drawing 2(c), it can be seen that because the present invention adopts the mean value shift filter, the synthetic aperture is effectively suppressed The inherent noise of the radar SAR image, combined with the local optimum of fuzzy clustering and the global optimization ability of genetic algorithm, accelerates the convergence speed of the algorithm, reduces the missed detection information in the detection results, and has the highest change detection accuracy.
观察附图2(e)的白色区域,可以看出采用现有技术的模糊C均值合成孔径雷达SAR图像变化检测方法,对第二组合成孔径雷达SAR图像的变化检测结果存在较多的误检信息。Observing the white area in Figure 2(e), it can be seen that there are many false detections in the change detection results of the second combined SAR SAR image using the fuzzy C-means synthetic aperture radar SAR image change detection method of the prior art information.
观察附图2(f)的白色区域,可以看出采用现有技术的模糊局部信息C均值FLICM合成孔径雷达SAR图像变化检测方法,对第二组合成孔径雷达SAR图像的变化检测结果,相比采用现有技术的附图2(e)的模糊C均值合成孔径雷达SAR图像变化检测方法有了改进,但是还存在较多的误检信息。Observing the white area in Fig. 2(f), it can be seen that using the fuzzy local information C-mean value FLICM synthetic aperture radar SAR image change detection method of the prior art, the change detection result of the second combined synthetic aperture radar SAR image is compared with The fuzzy C-means synthetic aperture radar SAR image change detection method in Fig. 2(e) of the prior art has been improved, but there are still more false detection information.
观察附图2(g)的白色区域,可以看出采用现有技术的改进的模糊局部信息C均值FLICM合成孔径雷达SAR图像变化检测方法,对第二组合成孔径雷达SAR图像的变化检测结果相比附图2(e)和附图(2f)的合成孔径雷达SAR图像变化检测结果均有改进,但是平滑了变化区域的边缘信息,还存在一些漏检信息。Observing the white area in Figure 2(g), it can be seen that the improved fuzzy local information C-mean FLICM synthetic aperture radar SAR image change detection method adopted in the prior art is comparable to the change detection result of the second combined synthetic aperture radar SAR image. Comparing with Fig. 2(e) and Fig. 2f, the SAR image change detection results are improved, but the edge information of the change area is smoothed, and there are still some missed detection information.
对比附图2(h)和附图2(e)、附图2(f)、附图2(g)中的白色区域,可以看出由于本发明采用了均值漂移滤波,有效抑制了合成孔径雷达SAR图像的固有噪声,又结合了模糊聚类的局部最优和遗传算法的全局寻优能力,加快了算法的收敛速度,减少检测结果中的漏检信息,具有最高的变化检测精度。Comparing the white areas in accompanying drawing 2(h) and accompanying drawing 2(e), accompanying drawing 2(f), accompanying drawing 2(g), it can be seen that because the present invention adopts mean shift filtering, the synthetic aperture is effectively suppressed The inherent noise of the radar SAR image, combined with the local optimum of fuzzy clustering and the global optimization ability of genetic algorithm, accelerates the convergence speed of the algorithm, reduces the missed detection information in the detection results, and has the highest change detection accuracy.
在两组合成孔径雷达SAR图像数据集上,运用本发明的基于均值漂移遗传聚类的SAR图像变化检测方法和现有技术的模糊C均值、模糊局部信息C均值FLICM、改进的模糊局部信息C均值RFLICM合成孔径雷达SAR图像变化检测方法,对两组合成孔径雷达SAR图像变化检测的结果,计算两组合成孔径雷达SAR图像变化检测的漏检数,误检数,总错误数和计算时间。其中,漏检数为实际发生了变化但没有检测出来的像素,误检数为实际没有发生变化但被检测为变换的像素,总错误数=漏检数+误检数。计算时间为运用上述四种方法得到合成孔径雷达SAR图像变化检测结果图的时间。On two sets of synthetic aperture radar SAR image data sets, the SAR image change detection method based on the mean shift genetic clustering of the present invention and the fuzzy C-means, fuzzy local information C-means FLICM, and improved fuzzy local information C The mean RFLICM synthetic aperture radar SAR image change detection method calculates the missed detection number, false detection number, total error number and calculation time of the two sets of synthetic aperture radar SAR image change detection results. Among them, the number of missed detections is the pixels that have actually changed but not detected, and the number of false detections is the pixels that have not actually changed but are detected as changes, and the total number of errors = the number of missed detections + the number of false detections. The calculation time is the time to obtain the synthetic aperture radar SAR image change detection result map by using the above four methods.
本发明的效果可以通过仿真实验获得的表1中的漏检数,误检数,总错误数和计算时间四个指标评价变化检测方法的好坏。The effect of the present invention can be obtained by the number of missing detections in Table 1 obtained by the simulation experiment, the number of false detections, the total number of errors and the four indexes of calculation time to evaluate the quality of the change detection method.
通过表1,对比现有技术的的模糊C均值、模糊局部信息C均值FLICM、改进的模糊局部信息C均值RFLICM合成孔径雷达SAR图像变化检测方法和本发明基于均值漂移遗传聚类的SAR图像变化检测方法,可以看出对两组合成孔径雷达SAR图像数据集的变化检测结果均具有最少的误检数和总错误数,具有较少的漏检数和较少的计算时间,即具有最高的变化检测精度。Through Table 1, compare the fuzzy C-means of the prior art, the fuzzy local information C-means FLICM, the improved fuzzy local information C-means RFLICM synthetic aperture radar SAR image change detection method and the SAR image change based on the mean shift genetic clustering of the present invention detection method, it can be seen that the change detection results of the two sets of synthetic aperture radar SAR image data sets have the least number of false detections and the number of total errors, with less number of missed detections and less calculation time, that is, the highest Change detection accuracy.
表1两组合成孔径雷达SAR图像变化检测结果评价指标Table 1 Evaluation index of two groups of synthetic aperture radar SAR image change detection results
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