CN110084844B - Airport pavement crack detection method based on depth camera - Google Patents
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Abstract
一种基于深度相机的机场道面裂缝检测方法。其包括利用深度相机采集机场道面的深度图像,然后划分成多个网格;对网格进行扩充;对扩充后的网格进行道面曲面模型的构建;连接各网格的道面曲面模型获得深度图像中道面的整体曲面模型;计算深度图像与整体曲面模型之间的差值以获得候选裂缝像素点;对候选裂缝像素点进行筛选而获得真实裂缝区域等步骤。本发明方法优点:应用于机场道面裂缝检测,通过高性能自动化的机场道面检测方法来代替人工操作,可提高检测精度和工作效率,进而提高了机场道面的安全性能。不受光照变化影响,对环境噪声的鲁棒性也更强。对道面结构的建模更加准确,因而使基于道面模型重建的裂缝检测准确性更高。
A Depth Camera Based Crack Detection Method for Airport Pavement. It includes using the depth camera to collect the depth image of the airport road surface, and then dividing it into multiple grids; expanding the grid; constructing the road surface model of the expanded grid; connecting the road surface model of each grid The overall surface model of the pavement in the depth image is obtained; the difference between the depth image and the overall surface model is calculated to obtain candidate crack pixels; the candidate crack pixel points are screened to obtain the real crack area and other steps. The method of the invention has the advantages that it is applied to the detection of cracks in airport pavement, and the manual operation is replaced by the high-performance automatic detection method of airport pavement, which can improve the detection accuracy and work efficiency, and further improve the safety performance of the airport pavement. It is not affected by illumination changes and is more robust to environmental noise. The pavement structure is more accurately modeled, thus making crack detection based on pavement model reconstruction more accurate.
Description
技术领域Technical Field
本发明属于无损检测技术领域,特别是涉及一种基于深度相机的机场道面裂缝检测方法。The present invention belongs to the technical field of nondestructive testing, and in particular relates to a method for detecting cracks on an airport pavement based on a depth camera.
背景技术Background Art
机场跑道是飞机飞行最重要的基础设施,由于航班频次的增加和自然环境的破坏,许多机场跑道道面出现了不同程度的破损现象,造成重大安全隐患,而裂缝是机场跑道道面的主要缺陷。因此,机场跑道的裂缝检测技术日益受到重视。Airport runways are the most important infrastructure for aircraft flight. Due to the increase in flight frequency and the destruction of the natural environment, many airport runway pavements have suffered varying degrees of damage, causing major safety hazards. Cracks are the main defect of airport runway pavements. Therefore, airport runway crack detection technology has received increasing attention.
目前,机场跑道裂缝检测工作主要依靠人工观察并手动记录的人工巡检方式。然而,人工巡检存在精度差、易漏检、主观性强、效率低等诸多问题,亟待开发高性能自动化的机场跑道缺陷检测方法来代替人工操作,提高工作效率与安全性能。随着视觉传感器技术和模式识别等相关技术的迅速发展,一些学者开始关注基于计算机视觉的裂缝检测技术。针对与之有一定相似性的公路及桥梁道面裂缝检测,目前相关研究大多是基于可见光传感器的,并已经取得了一些成果,而复杂环境中的鲁棒性问题是现有研究面临的最大难点。基于可见光相机的道面裂缝检测方法可分为四类:基于灰度阈值的方法、基于边缘检测的方法、机器学习的方法以及形态学方法。基于灰度阈值的方法对噪声敏感,特别是当光照条件较差时裂缝检测效果非常不可靠。基于边缘检测的方法的主要缺点是由于未考虑裂缝的连通性,边缘检测只能提取不连续的裂缝特征,而且该方法在低对比度和强噪声干扰的场景中常常失败。机器学习的方法无法保证提取整个图像的全局裂缝信息,此外,学习过程需要大量的准确标记过的样本,而这一要求在光照和场景变化明显的应用中难以实现。基于形态学的裂缝检测效果受参数选择的影响非常大,在实际应用中存在困难。已有的绝大多数研究,如上面所提及的工作,均是针对公路或桥梁开展的。虽然也有文献称其公路道面裂缝检测方法也可用于机场跑道,但却未见到实际的实验验证。与公路及桥梁路面相比,机场跑道由于飞机频繁起降等原因产生了明显的油污、橡胶残留痕迹等,且因跑道材质原因致使裂缝与背景间对比度很低,加之只能在夜间在人造光源条件下进行道面检测,而且裂缝特征通常比较细小,这些因素均使得机场跑道道面裂缝视觉检测非常困难。近年来,开始有人用深度传感器检测道面缺陷,但主要针对公路上的坑洞检测,且常常将道面模型近似看作平面,导致检测效果不够理想。At present, the detection of cracks on airport runways mainly relies on manual inspection with manual observation and manual recording. However, manual inspection has many problems such as poor accuracy, easy to miss detection, strong subjectivity, and low efficiency. It is urgent to develop a high-performance automated airport runway defect detection method to replace manual operation and improve work efficiency and safety performance. With the rapid development of visual sensor technology and related technologies such as pattern recognition, some scholars have begun to pay attention to crack detection technology based on computer vision. For the detection of cracks on highway and bridge pavements, which are similar to them, most of the current related research is based on visible light sensors, and some results have been achieved. However, the robustness problem in complex environments is the biggest difficulty faced by existing research. Pavement crack detection methods based on visible light cameras can be divided into four categories: grayscale threshold-based methods, edge detection-based methods, machine learning methods, and morphological methods. Grayscale threshold-based methods are sensitive to noise, especially when the lighting conditions are poor, the crack detection effect is very unreliable. The main disadvantage of edge detection-based methods is that since the connectivity of cracks is not considered, edge detection can only extract discontinuous crack features, and this method often fails in scenes with low contrast and strong noise interference. Machine learning methods cannot guarantee the extraction of global crack information of the entire image. In addition, the learning process requires a large number of accurately labeled samples, which is difficult to achieve in applications with significant changes in lighting and scenes. The effect of crack detection based on morphology is greatly affected by parameter selection and is difficult to apply in practice. Most of the existing studies, such as the work mentioned above, are conducted on roads or bridges. Although there are also literatures claiming that the road pavement crack detection method can also be used for airport runways, there is no actual experimental verification. Compared with roads and bridge pavements, airport runways have obvious traces of oil stains and rubber residues due to frequent aircraft takeoffs and landings, and the contrast between cracks and background is very low due to the runway material. In addition, pavement detection can only be performed at night under artificial light conditions, and the crack features are usually relatively small. These factors make visual detection of cracks on airport runway pavements very difficult. In recent years, some people have begun to use depth sensors to detect pavement defects, but they are mainly used for pothole detection on roads, and the pavement model is often approximated as a plane, resulting in unsatisfactory detection results.
发明内容Summary of the invention
为了解决上述问题,本发明的目的在于提供一种基于深度相机的机场道面裂缝检测方法。In order to solve the above problems, an object of the present invention is to provide an airport pavement crack detection method based on a depth camera.
为了达到上述目的,本发明提供的基于深度相机的机场道面裂缝检测方法包括按顺序进行的下列步骤:In order to achieve the above object, the airport pavement crack detection method based on a depth camera provided by the present invention comprises the following steps performed in sequence:
步骤1)利用深度相机采集机场道面的深度图像,然后将采集到的深度图像划分成多个网格;Step 1) using a depth camera to collect a depth image of the airport pavement, and then dividing the collected depth image into multiple grids;
步骤2)对上述每一个网格进行扩充;Step 2) expanding each of the above grids;
步骤3)对扩充后的网格进行道面曲面模型的构建;Step 3) constructing a road surface model for the expanded grid;
步骤4)连接上述各网格的道面曲面模型以获得深度图像中道面的整体曲面模型;Step 4) connecting the road surface models of the above grids to obtain the overall surface model of the road surface in the depth image;
步骤5)计算上述步骤1)获得的深度图像与步骤4)获得的整体曲面模型之间的差值以获得候选裂缝像素点;Step 5) calculating the difference between the depth image obtained in step 1) and the overall surface model obtained in step 4) to obtain candidate crack pixel points;
步骤6)对上述候选裂缝像素点进行筛选而获得真实裂缝区域。Step 6) Screen the candidate crack pixel points to obtain the real crack area.
在步骤1)中,所述的利用深度相机采集机场道面的深度图像,然后将采集到的深度图像划分成多个网格的方法是:In step 1), the method of using a depth camera to collect a depth image of the airport pavement and then dividing the collected depth image into a plurality of grids is:
首先利用深度相机采集机场道面的深度图像,然后将采集到的深度图像划分成大小均为k*k个像素点的n个网格Yi,将网格区域定义为Yi,i=1,2,…,n。First, a depth camera is used to collect a depth image of the airport pavement, and then the collected depth image is divided into n grids Yi with a size of k*k pixels each, and the grid area is defined as Yi , i = 1, 2, ..., n.
在步骤2)中,所述的对上述每一个网格进行扩充的方法是:In step 2), the method for expanding each of the above grids is:
将每一个网格的尺寸分别向四周增加k/2个像素点范围,使每一个扩充后的网格的大小为2k*2k个像素点,将扩充后的网格区域定义为i=1,2,…,n。The size of each grid is increased by k/2 pixels around it, so that each expanded grid The size of is 2k*2k pixels, and the expanded grid area is defined as i=1,2,…,n.
在步骤3)中,所述的对扩充后的网格进行道面曲面模型的构建的方法是:In step 3), the method of constructing a road surface model for the expanded grid is:
对于扩充后的网格区域i=1,2,…,n,定义P(x,y,z)为位于扩充后的网格的道面曲面上的点坐标,其中x是深度图像中像素点的横坐标,y是深度图像中像素点的纵坐标,z是道面曲面模型在坐标(x,y)处的深度值;For the expanded grid area i=1,2,…,n,define P(x,y,z) as the grid after expansion The coordinates of the point on the road surface, where x is the horizontal coordinate of the pixel in the depth image, y is the vertical coordinate of the pixel in the depth image, and z is the depth value of the road surface model at the coordinate (x, y);
以三次曲面方程对机场道面曲面建立道面曲面模型,The pavement surface model of the airport pavement is established using the cubic surface equation.
令A=[a0,a1,a2,a3,a4,a5,a6,a7,a8,a9]T,H=[1,x,y,x2,xy,y2,x3,x2y,xy2,y3],则:Let A=[a 0 ,a 1 ,a 2 ,a 3 ,a 4 ,a 5 ,a 6 ,a 7 ,a 8 ,a 9 ] T ,H=[1,x,y,x 2 ,xy, y 2 ,x 3 ,x 2 y,xy 2 ,y 3 ], then:
z=H·Az=H·A
其中A是待求解的道面曲面模型参数向量,H是由扩充后的网格Yi *中像素点的横纵坐标组成的自变量向量;本发明采用RANSAC算法框架和最小二乘法来估计道面曲面模型,具体方法为:在RANSAC算法框架下,每次随机选择9个像素点来估计道面曲面模型,令Zc=[z1,z2,z3,...,zc]T表示c个像素点的深度值向量,令表示由c个像素点的坐标组成的自变量矩阵;则关于未知道面曲面模型参数向量的线性方程组为:Where A is the parameter vector of the road surface model to be solved, and H is the independent variable vector composed of the horizontal and vertical coordinates of the pixel points in the expanded grid Yi * . The present invention adopts the RANSAC algorithm framework and the least squares method to estimate the road surface model. The specific method is as follows: Under the RANSAC algorithm framework, 9 pixels are randomly selected each time to estimate the road surface model, and Zc = [ z1 , z2 , z3 , ..., zc ] T represents the depth value vector of c pixels, and represents the independent variable matrix composed of the coordinates of c pixel points; then the linear equations for the unknown surface model parameter vector are:
Zc=Xc·AZ c =X c ·A
然后采用最小二乘法上述求解线性方程组即可得到该道面曲面模型参数向量:Then, the least squares method is used to solve the above linear equations to obtain the pavement surface model parameter vector:
之后利用道面曲面模型参数向量求得扩充后的网格内所有坐标的深度值:Then, the road surface model parameter vector Get the expanded grid Depth values of all coordinates within:
其中表示由扩充后的网格内所有像素点的坐标组成的自变量矩阵;令Z0表示原始深度值,则可计算出道面曲面模型与原始深度值之间的最短距离:in Represents the expanded grid The independent variable matrix composed of the coordinates of all pixel points in ; let Z 0 represent the original depth value, then the shortest distance between the road surface model and the original depth value can be calculated:
如果某一个像素点到道面曲面的距离小于距离阈值Ti,则将该像素点判定为内点,反之则为外点;最后,选择获得内点数目最多的道面曲面模型作为真实模型,并利用该由这些内点构成的内点集使用最小二乘法重新优化估计扩充后的网格的道面曲面模型参数向量 If the distance from a certain pixel to the road surface is less than the distance threshold Ti , the pixel is judged as an interior point, otherwise it is an exterior point; finally, the road surface model with the largest number of interior points is selected as the true model, and the interior point set composed of these interior points is used to re-optimize the estimated expanded grid using the least squares method The road surface model parameter vector
在步骤4)中,所述的连接上述各网格的道面曲面模型以获得深度图像中道面的整体曲面模型的方法是:In step 4), the method of connecting the road surface models of the above-mentioned grids to obtain the overall surface model of the road surface in the depth image is:
取出步骤3)中获得的扩充后的网格的道面曲面拟合模型中的原网格,作为原网格的道面曲面模型;按照原网格的位置,将各自的道面曲面模型拼接在一起,形成深度图像中道面的整体曲面模型,具体方法为:重复步骤3)直到扩充后的网格区域i=1,2,…,n全部计算完毕,得到每个网格的道面曲面模型i=1,2,...,n,根据每个网格的道面曲面模型和深度图像像素点坐标组成自变量向量:Take out the original grid in the road surface fitting model of the expanded grid obtained in step 3) as the road surface model of the original grid; according to the position of the original grid, splice the respective road surface models together to form the overall surface model of the road surface in the depth image. The specific method is: repeat step 3) until the expanded grid area i=1,2,…,n All calculations are completed, and the road surface model of each grid is obtained i=1,2,...,n, according to the road surface model of each grid And the depth image pixel coordinates form an independent variable vector:
其中i表示第i个网格,j表示第i个网格中的第j个像素点,计算出深度图像中每个坐标的道面曲面的深度值:Where i represents the i-th grid, j represents the j-th pixel in the i-th grid, and each coordinate in the depth image is calculated Depth value of the road surface:
在步骤5)中,所述的计算上述步骤1)获得的深度图像与步骤4)获得的整体曲面模型之间的差值以获得候选裂缝像素点的方法是:In step 5), the method for calculating the difference between the depth image obtained in step 1) and the overall surface model obtained in step 4) to obtain candidate crack pixel points is:
将上述步骤1)获得的深度图像与步骤4)获得的整体曲面模型按像素点对应位置做差并取绝对值,令d(x,y)为像素点(x,y)处上述差值的绝对值;如果绝对值d(x,y)大于某一设定的阈值Td,则认为像素点(x,y)为候选裂缝像素点,否则,该像素点为非裂缝像素。The depth image obtained in the above step 1) and the overall surface model obtained in step 4) are subtracted at the corresponding positions of the pixels and the absolute value is taken. Let d(x, y) be the absolute value of the above difference at the pixel point (x, y); if the absolute value d(x, y) is greater than a certain set threshold T d , the pixel point (x, y) is considered to be a candidate crack pixel point, otherwise, the pixel point is a non-crack pixel.
在步骤6)中,所述的对上述候选裂缝像素点进行筛选而获得真实裂缝区域的方法是:In step 6), the method of screening the candidate crack pixel points to obtain the real crack area is:
根据连通性将得到的候选裂缝像素点分为若干个连通区域,通过计算每个连通区域的面积、长度以及长宽比来筛选出真实的裂缝区域,具体方法为:首先提取每个连通区域的骨架,将骨架像素点的个数定义为连通区域的长度,记为l,然后计算骨架上每个像素点沿其法线方向到所在连通区域边缘的距离,将所有距离的平均值作为该连通区域的宽度,记为w;将连通区域的像素点总数记为m;如果同时满足以下条件:m>Tm且l>Tl且则标记该连通区域为真实裂缝区域,否则标记该连通区域为非裂缝区域并删除,其中Tm、Tl和Tr为设定的阈值。The candidate crack pixels are divided into several connected regions according to connectivity. The real crack regions are screened out by calculating the area, length and aspect ratio of each connected region. The specific method is as follows: first, the skeleton of each connected region is extracted, and the number of skeleton pixels is defined as the length of the connected region, denoted as l. Then, the distance from each pixel on the skeleton to the edge of the connected region along its normal direction is calculated, and the average of all distances is taken as the width of the connected region, denoted as w. The total number of pixels in the connected region is denoted as m. If the following conditions are met at the same time: m>T m and l>T l and Then the connected area is marked as a real crack area, otherwise the connected area is marked as a non-crack area and deleted, where T m , T l and Tr are the set thresholds.
在步骤5)中,所述的阈值Td表示可检测的裂缝最小深度,根据机场道面的检测要求,该值设为5毫米。In step 5), the threshold value Td represents the minimum depth of detectable cracks, and according to the inspection requirements of airport pavement, the value is set to 5 mm.
在步骤7)中,所述的阈值Tm为经验值,取值范围为30~60;阈值Tl为经验值,取值范围为20~30;阈值Tr为经验值,取值范围为不小于7。In step 7), the threshold value Tm is an empirical value, ranging from 30 to 60; the threshold value Tl is an empirical value, ranging from 20 to 30; the threshold value Tr is an empirical value, ranging from no less than 7.
与现有技术相比,本发明提供的基于深度相机的机场道面裂缝检测方法具有以下优点:①本发明方法应用于机场道面裂缝检测,通过高性能自动化的机场道面检测方法来代替人工操作,可提高检测精度和工作效率,进而提高了机场道面的安全性能。②本发明不受光照变化影响,对环境噪声的鲁棒性也更强。③本发明方法对道面结构的建模更加准确,因而使基于道面模型重建的裂缝检测准确性更高。Compared with the prior art, the airport pavement crack detection method based on a depth camera provided by the present invention has the following advantages: ① The method of the present invention is applied to airport pavement crack detection, and a high-performance automated airport pavement detection method is used to replace manual operation, which can improve detection accuracy and work efficiency, thereby improving the safety performance of the airport pavement. ② The present invention is not affected by changes in illumination and is more robust to environmental noise. ③ The method of the present invention models the pavement structure more accurately, thereby making crack detection based on pavement model reconstruction more accurate.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1本发明提供的基于深度相机的机场道面裂缝检测方法的流程图;FIG1 is a flow chart of a method for detecting cracks on an airport pavement based on a depth camera provided by the present invention;
图2是本发明主要步骤示意图;Fig. 2 is a schematic diagram of the main steps of the present invention;
图3是机场道面裂缝检测结果。Figure 3 shows the crack detection results of the airport pavement.
具体实施方式DETAILED DESCRIPTION
下面结合附图和具体实施例对本发明提供的基于深度相机的机场道面裂缝检测方法进行详细说明。The airport pavement crack detection method based on a depth camera provided by the present invention is described in detail below with reference to the accompanying drawings and specific embodiments.
深度相机通过对目标场景发射连续的近红外脉冲,然后用传感器接收由物体反射回的光脉冲。通过比较发射光脉冲与经过物体反射的光脉冲的相位差,可以推算得到光脉冲之间的传输延迟进而得到物体相对于发射器的距离,最终得到一幅深度图像。深度图像中每个像素点的灰度值可用于表征目标场景中某一点距离深度相机的远近。机场道面上的裂缝区域在深度图像中表现为灰度值大于机场道面灰度值。然而,为了增大摩擦性,机场跑道在设计中会增加跑道表面的粗糙度,致使采集的深度图像中部分机场道面区域灰度值与裂缝区域深灰度值近似甚至更低,导致难以从深度图像中直接提取裂缝。本发明方法解决的问题是使用深度相机的机场道面裂缝检测问题。The depth camera emits continuous near-infrared pulses to the target scene, and then uses a sensor to receive the light pulses reflected by the object. By comparing the phase difference between the emitted light pulse and the light pulse reflected by the object, the transmission delay between the light pulses can be calculated and then the distance of the object relative to the transmitter can be obtained, and finally a depth image is obtained. The grayscale value of each pixel in the depth image can be used to characterize the distance of a certain point in the target scene from the depth camera. The crack area on the airport pavement appears in the depth image as a grayscale value greater than the grayscale value of the airport pavement. However, in order to increase friction, the roughness of the runway surface is increased in the design of the airport runway, resulting in the grayscale value of some airport pavement areas in the collected depth image being similar to or even lower than the deep grayscale value of the crack area, making it difficult to directly extract cracks from the depth image. The problem solved by the method of the present invention is the problem of airport pavement crack detection using a depth camera.
如图1所示,本发明提供的基于深度相机的机场道面裂缝检测方法包括按顺序进行的下列步骤:As shown in FIG1 , the airport pavement crack detection method based on a depth camera provided by the present invention comprises the following steps performed in sequence:
步骤1)利用深度相机采集机场道面的深度图像,然后将采集到的深度图像划分成多个网格;Step 1) using a depth camera to collect a depth image of the airport pavement, and then dividing the collected depth image into multiple grids;
首先利用深度相机采集机场道面的深度图像,然后将采集到的深度图像划分成大小均为k*k个像素点的n个网格Yi,如图2(a)所示。如果k的取值过大,会导致网格内部的深度图像灰度值模型一致性变差,不利于后续的曲面拟合以及裂缝检测;如果k的取值过小,可能会引起裂缝像素点占据了大部分网格区域,因此无法进行后续的道面曲面拟合。根据多次实验测试,本发明实验中取k=100。将网格区域定义为Yi,i=1,2,…,n。First, a depth camera is used to collect a depth image of the airport pavement, and then the collected depth image is divided into n grids Yi, each with a size of k*k pixels, as shown in Figure 2(a). If the value of k is too large, the consistency of the depth image grayscale value model inside the grid will deteriorate, which is not conducive to subsequent surface fitting and crack detection; if the value of k is too small, it may cause the crack pixels to occupy most of the grid area, so subsequent pavement surface fitting cannot be performed. According to multiple experimental tests, k=100 is taken in the experiment of the present invention. The grid area is defined as Yi , i=1,2,…,n.
步骤2)对上述每一个网格进行扩充;Step 2) expanding each of the above grids;
由于网格之间相互独立,因此每个网格建立的道面曲面模型之间没有联系,导致相邻网格的道面曲面模型在边缘位置不连续,精度降低,因此需要对每一个网格进行扩充,以加强相邻网格之间的联系,提高道面曲面模型在网格边缘区域的精度。对上述每一个网格进行扩充的具体方法是:将每一个网格的尺寸分别向四周增加k/2个像素点范围,使每一个扩充后的网格的大小为2k*2k个像素点,如图2(b)所示。扩充后的网格区域定义为i=1,2,…,n。Since the grids are independent of each other, the road surface models established by each grid are not connected, resulting in discontinuity of the road surface models of adjacent grids at the edge and reduced accuracy. Therefore, each grid needs to be expanded to strengthen the connection between adjacent grids and improve the accuracy of the road surface model at the grid edge area. The specific method for expanding each of the above grids is to increase the size of each grid by k/2 pixels on all sides, so that each expanded grid The size of is 2k*2k pixels, as shown in Figure 2(b). The expanded grid area is defined as i=1,2,…,n.
步骤3)对扩充后的网格进行道面曲面模型的构建;Step 3) constructing a road surface model for the expanded grid;
对于扩充后的网格区域i=1,2,…,n,定义P(x,y,z)为位于扩充后的网格的道面曲面上的点坐标,其中x是深度图像中像素点的横坐标,y是深度图像中像素点的纵坐标,z是道面曲面模型在坐标(x,y)处的深度值。For the expanded grid area i=1,2,…,n,define P(x,y,z) as the grid after expansion The coordinates of a point on the road surface, where x is the horizontal coordinate of the pixel in the depth image, y is the vertical coordinate of the pixel in the depth image, and z is the depth value of the road surface model at the coordinate (x, y).
如图2(c)所示,以三次曲面方程对机场道面曲面建立道面曲面模型,As shown in Figure 2(c), the pavement surface model of the airport pavement is established using the cubic surface equation.
令A=[a0,a1,a2,a3,a4,a5,a6,a7,a8,a9]T,H=[1,x,y,x2,xy,y2,x3,x2y,xy2,y3],则:Let A=[a 0 ,a 1 ,a 2 ,a 3 ,a 4 ,a 5 ,a 6 ,a 7 ,a 8 ,a 9 ] T ,H=[1,x,y,x 2 ,xy, y 2 ,x 3 ,x 2 y,xy 2 ,y 3 ], then:
z=H·Az=H·A
其中A是待求解的道面曲面模型参数向量,H是由扩充后的网格中像素点的横纵坐标组成的自变量向量。由于扩充后的网格中不仅仅包含道面坐标,还可能含有裂缝区域的坐标,因此,本发明采用RANSAC算法框架和最小二乘法来估计道面曲面模型,具体方法为:在RANSAC算法框架下,每次随机选择9个像素点来估计道面曲面模型,令Zc=[z1,z2,z3,...,zc]T表示c个像素点的深度值向量,令表示由c个像素点的坐标组成的自变量矩阵。则关于未知道面曲面模型参数向量的线性方程组为:Where A is the parameter vector of the road surface model to be solved, and H is the expanded grid The independent variable vector is composed of the horizontal and vertical coordinates of the pixel points in the grid. contains not only the road surface coordinates, but also the coordinates of the crack area. Therefore, the present invention adopts the RANSAC algorithm framework and the least squares method to estimate the road surface model. The specific method is as follows: Under the RANSAC algorithm framework, 9 pixels are randomly selected each time to estimate the road surface model. Let Z c = [z 1 , z 2 , z 3 , ..., z c ] T represent the depth value vector of c pixels, let represents the independent variable matrix composed of the coordinates of c pixel points. Then the linear equations for the unknown surface model parameter vector are:
Zc=Xc·AZ c =X c ·A
然后采用最小二乘法上述求解线性方程组即可得到该道面曲面模型参数向量:Then, the least squares method is used to solve the above linear equations to obtain the pavement surface model parameter vector:
然后利用道面曲面模型参数向量求得扩充后的网格内所有坐标的深度值:Then, the road surface model parameter vector Get the expanded grid Depth values of all coordinates within:
其中表示由扩充后的网格内所有像素点的坐标组成的自变量矩阵。令Z0表示原始深度值,则可计算出道面曲面模型与原始深度值之间的最短距离:in Represents the expanded grid The independent variable matrix composed of the coordinates of all pixel points in . Let Z 0 represent the original depth value, then the shortest distance between the road surface model and the original depth value can be calculated:
如果某一个像素点到道面曲面的距离小于距离阈值Ti,则将该像素点判定为内点,反之则为外点;最后,选择获得内点数目最多的道面曲面模型作为真实模型,并利用该由这些内点构成的内点集使用最小二乘法重新优化估计扩充后的网格的道面曲面模型参数向量距离阈值Ti的选取需综合考虑裂缝实际深度以及道面设计的粗糙纹理的深度差异,此处取值为5毫米。If the distance from a certain pixel to the road surface is less than the distance threshold Ti , the pixel is judged as an interior point, otherwise it is an exterior point; finally, the road surface model with the largest number of interior points is selected as the true model, and the interior point set composed of these interior points is used to re-optimize the estimated expanded grid using the least squares method The road surface model parameter vector The selection of the distance threshold Ti needs to comprehensively consider the actual depth of the crack and the depth difference of the rough texture of the pavement design. The value here is 5 mm.
步骤4)连接上述各网格的道面曲面模型以获得深度图像中道面的整体曲面模型;Step 4) connecting the road surface models of the above grids to obtain the overall surface model of the road surface in the depth image;
取出步骤3)中获得的扩充后的网格的道面曲面拟合模型中的原网格,作为原网格的道面曲面模型;按照原网格的位置,将各自的道面曲面模型拼接在一起,形成深度图像中道面的整体曲面模型,如图2(d)所示。具体方法为:重复步骤3)直到扩充后的网格区域i=1,2,…,n全部计算完毕,得到每个网格的道面曲面模型i=1,2,...,n,根据每个网格的道面曲面模型和深度图像像素点坐标组成自变量向量:Take out the original grid in the road surface fitting model of the expanded grid obtained in step 3) as the road surface model of the original grid; according to the position of the original grid, splice the respective road surface models together to form the overall surface model of the road surface in the depth image, as shown in Figure 2(d). The specific method is: repeat step 3) until the expanded grid area i=1,2,…,n All calculations are completed, and the road surface model of each grid is obtained i=1,2,...,n, according to the road surface model of each grid And the depth image pixel coordinates form an independent variable vector:
其中i表示第i个网格,j表示第i个网格中的第j个像素点,计算出深度图像中每个坐标的道面曲面的深度值:Where i represents the i-th grid, j represents the j-th pixel in the i-th grid, and each coordinate in the depth image is calculated Depth value of the road surface:
步骤5)计算上述步骤1)获得的深度图像与步骤4)获得的整体曲面模型之间的差值以获得候选裂缝像素点;Step 5) calculating the difference between the depth image obtained in step 1) and the overall surface model obtained in step 4) to obtain candidate crack pixel points;
由于实际数据中道面区域点到道面曲面模型的距离与裂缝区域点到道面曲面模型的距离间具有显著的差距,所以将上述步骤1)获得的深度图像与步骤4)获得的整体曲面模型按像素点对应位置做差并取绝对值,令d(x,y)为像素点(x,y)处上述差值的绝对值。如果绝对值d(x,y)大于某一设定的阈值Td,则认为像素点(x,y)为候选裂缝像素点,否则,该像素点为非裂缝像素。阈值Td表示可检测的裂缝最小深度,根据机场道面的检测要求,该值设为5毫米。如图2(e)所示。Since there is a significant difference between the distance from the pavement area point to the pavement surface model and the distance from the crack area point to the pavement surface model in the actual data, the depth image obtained in the above step 1) and the overall surface model obtained in step 4) are subtracted according to the corresponding positions of the pixels and the absolute value is taken, and d(x,y) is the absolute value of the above difference at the pixel point (x,y). If the absolute value d(x,y) is greater than a certain set threshold Td , the pixel point (x,y) is considered to be a candidate crack pixel point, otherwise, the pixel point is a non-crack pixel. The threshold Td represents the minimum depth of the crack that can be detected. According to the detection requirements of the airport pavement, this value is set to 5 mm. As shown in Figure 2(e).
步骤6)对上述候选裂缝像素点进行筛选而获得真实裂缝区域;Step 6) Screening the candidate crack pixel points to obtain the real crack area;
根据连通性将得到的候选裂缝像素点分为若干个连通区域,通过计算每个连通区域的面积、长度以及长宽比来筛选出真实的裂缝区域,如图2(f)所示。具体方法为:首先提取每个连通区域的骨架,将骨架像素点的个数定义为连通区域的长度,记为l,然后计算骨架上每个像素点沿其法线方向到所在连通区域边缘的距离,将所有距离的平均值作为该连通区域的宽度,记为w;将连通区域的像素点总数记为m。如果同时满足以下条件:m>Tm且l>Tl且则标记该连通区域为真实裂缝区域,否则标记该连通区域为非裂缝区域并删除,其中Tm、Tl和Tr为设定的阈值。阈值Tm为经验值,取值范围为30~60;阈值Tl为经验值,取值范围为20~30;阈值Tr为经验值,取值范围为不小于7。The obtained candidate crack pixel points are divided into several connected regions according to connectivity, and the real crack regions are screened out by calculating the area, length and aspect ratio of each connected region, as shown in Figure 2(f). The specific method is as follows: first, the skeleton of each connected region is extracted, and the number of skeleton pixels is defined as the length of the connected region, denoted as l. Then, the distance from each pixel point on the skeleton to the edge of the connected region along its normal direction is calculated, and the average value of all distances is taken as the width of the connected region, denoted as w; the total number of pixels in the connected region is denoted as m. If the following conditions are met at the same time: m>T m and l>T l and If the connected area is a real crack area, the connected area is marked as a non-crack area and deleted. Tm , Tl and Tr are the set thresholds. The threshold Tm is an empirical value with a range of 30 to 60; the threshold Tl is an empirical value with a range of 20 to 30; the threshold Tr is an empirical value with a range of not less than 7.
本发明提供的基于深度相机的机场道面裂缝检测方法的效果可以通过以下实验结果进一步说明。本发明人共采集了42张机场道面的深度图像而对本发明方法进行验证,实验结果如图3所示,其中同一行的左侧图像为机场道面的深度图像,右侧图像为裂缝区域提取结果。The effect of the airport pavement crack detection method based on a depth camera provided by the present invention can be further illustrated by the following experimental results. The inventor collected a total of 42 depth images of the airport pavement to verify the method of the present invention. The experimental results are shown in Figure 3, where the left image in the same row is the depth image of the airport pavement, and the right image is the crack area extraction result.
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