CN116500643A - A method and system for detecting road deformation defects based on single-line laser point cloud - Google Patents

A method and system for detecting road deformation defects based on single-line laser point cloud Download PDF

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CN116500643A
CN116500643A CN202310434332.XA CN202310434332A CN116500643A CN 116500643 A CN116500643 A CN 116500643A CN 202310434332 A CN202310434332 A CN 202310434332A CN 116500643 A CN116500643 A CN 116500643A
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road
point cloud
point
area
disease
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朱俊清
蒋舜
卜天翔
马涛
张伟光
王志鹏
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Southeast University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S17/00Systems using the reflection or reradiation of electromagnetic waves other than radio waves, e.g. lidar systems
    • G01S17/88Lidar systems specially adapted for specific applications
    • G01S17/89Lidar systems specially adapted for specific applications for mapping or imaging
    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01CCONSTRUCTION OF, OR SURFACES FOR, ROADS, SPORTS GROUNDS, OR THE LIKE; MACHINES OR AUXILIARY TOOLS FOR CONSTRUCTION OR REPAIR
    • E01C23/00Auxiliary devices or arrangements for constructing, repairing, reconditioning, or taking-up road or like surfaces
    • E01C23/01Devices or auxiliary means for setting-out or checking the configuration of new surfacing, e.g. templates, screed or reference line supports; Applications of apparatus for measuring, indicating, or recording the surface configuration of existing surfacing, e.g. profilographs
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/16Measuring arrangements characterised by the use of optical techniques for measuring the deformation in a solid, e.g. optical strain gauge
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02ATECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A90/00Technologies having an indirect contribution to adaptation to climate change
    • Y02A90/10Information and communication technologies [ICT] supporting adaptation to climate change, e.g. for weather forecasting or climate simulation

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Abstract

The invention discloses a method and a system for detecting highway deformation diseases based on single-line laser point clouds, which are characterized in that firstly, pose of an unmanned aerial vehicle at different moments is recorded, and laser radar acquires road point cloud data in a cross section form and then fits a road surface reference cross section; fitting a road reference surface and a road curved surface model, determining the position of a disease point cloud, and dividing a 10m pavement area; and finally, calculating the maximum depth and deformation volume parameters of the diseases from a three-dimensional angle, and drawing up an index and evaluating the highway deformation diseases. According to the invention, the calculation of the deformation disease depth is realized from a three-dimensional angle, and compared with the traditional detection of the pavement deformation disease, the method has higher precision, and the three-dimensional evaluation index of the pavement deformation disease is provided, so that the evaluation method of the deformation disease is enriched, and the position of the road section with the disease to be maintained is primarily positioned.

Description

一种基于单线激光点云的公路变形类病害检测方法、系统A method and system for detecting road deformation defects based on single-line laser point cloud

技术领域technical field

本发明属于道路工程领域,具体涉及一种基于单线激光点云的公路变形类病害检测方法、系统。The invention belongs to the field of road engineering, and in particular relates to a method and system for detecting road deformation defects based on a single-line laser point cloud.

背景技术Background technique

随着经济高速发展,沥青道路逐渐成为了我国高速公路的主要路面类型。然而,交通量的不断增大,超载重载等问题的日益加剧,使得沥青路面尤其是公路沥青路面出现各种各样的损害。With the rapid economic development, asphalt roads have gradually become the main road surface type of expressways in our country. However, the continuous increase of traffic volume and the aggravation of problems such as overloading and heavy loading have caused various damages to asphalt pavement, especially highway asphalt pavement.

变形类病害是路面由于外力影响而产生的具有明显形变的病害,是沥青公路路面的常见的病害之一。变形类病害一方面导致了路面产生大量的变形,引起行车高程的骤变,从而影响行车的舒适性与稳定性,另一方面,变形类病害的产生会导致路面结构发生凸起或者凹陷,引发一系列其他的病害,造成排水问题等,降低了路面的强度和使用寿命,降低了路面的安全性。因此,对于路面变形类灾害有必要进行系统全面的评估,并作出针对性的养护措施。Deformation damage is a disease with obvious deformation of the pavement due to the influence of external force, and it is one of the common diseases of asphalt highway pavement. On the one hand, deformation-related diseases lead to a large amount of deformation of the road surface, causing a sudden change in driving elevation, which affects the comfort and stability of driving. A series of other diseases, causing drainage problems, etc., reduce the strength and service life of the pavement, and reduce the safety of the pavement. Therefore, it is necessary to conduct a systematic and comprehensive assessment of road surface deformation disasters and make targeted maintenance measures.

目前,国内外对于变形类病害的评价指标往往是通过基于横断面病害的深度和宽度指标,没有一个统一的变形类病害评价指标,同时由于路面检测技术的不足,采集数据的精度和密度难以保证,很少从三维的角度考虑变形类病害的危害。At present, the evaluation indicators for deformation diseases at home and abroad are often based on the depth and width indicators of cross-sectional diseases. There is no unified evaluation index for deformation diseases. At the same time, due to the lack of pavement detection technology, the accuracy and density of collected data are difficult to guarantee. , seldom consider the damage of deformation diseases from a three-dimensional perspective.

过去,由于电子技术的落后,人工方法是检测路面病害的主要方法,主要通过直尺测量车辙的深度和宽度,然而人工的测量依赖于经验,且存在较大的误差,如今已被淘汰。近年来,随着电子技术的不断发展,基于深度学习或者图像处理的变形类病害检测方法逐渐投入运用,主要以检测车为挂载装置,通过布置多个多线激光雷达,实现道路变形病害的检测。然而,该方法仍然存在一些弊端,如:易受到道路其他车辆的影响,检测车辆和多线雷达的成本和维护费用较高,车速要求严格等。尽管激光雷达测量路面点云的方式能保证数据的精确性,但挂载装置局限了雷达性能的发挥。相比于检测车,无人机可以做到更低成本,更轻量化和更高效率,理论上是更好的激光雷达的挂载装置。同时,无人机从高空检测路面的变形,单线雷达足以满足检测的需要。相比多线雷达,单线激光雷达的数据处理更简洁简单,在运算量上也更有优势,经过一定的点云数据处理后,单线雷达同样可以生成高密且精准的点云。In the past, due to the backwardness of electronic technology, manual methods were the main method for detecting road surface defects, mainly measuring the depth and width of ruts with a ruler. However, manual measurement relies on experience and has large errors, so it has been eliminated now. In recent years, with the continuous development of electronic technology, deformation-related damage detection methods based on deep learning or image processing have gradually been put into use. The detection vehicle is mainly used as a mounting device, and multiple multi-line laser radars are arranged to realize road deformation damage detection. detection. However, this method still has some disadvantages, such as: being easily affected by other vehicles on the road, the cost and maintenance of detecting vehicles and multi-line radar are high, and the speed requirement is strict. Although the way the lidar measures the road surface point cloud can ensure the accuracy of the data, the mounting device limits the performance of the radar. Compared with inspection vehicles, UAVs can achieve lower cost, lighter weight and higher efficiency. In theory, they are better mounting devices for lidar. At the same time, the UAV detects the deformation of the road surface from a high altitude, and the single-line radar is sufficient to meet the detection needs. Compared with multi-line radar, the data processing of single-line lidar is simpler and simpler, and it also has more advantages in terms of calculation volume. After certain point cloud data processing, single-line radar can also generate high-density and accurate point clouds.

发明内容Contents of the invention

为了解决上述背景技术提到的技术问题,本发明提出了一种基于单线激光点云的公路变形类病害检测方法、系统。In order to solve the technical problems mentioned in the above-mentioned background technology, the present invention proposes a method and system for detecting road deformation defects based on single-line laser point cloud.

为了实现上述技术目的,本发明的技术方案为:In order to realize above-mentioned technical purpose, technical scheme of the present invention is:

一种基于单线激光点云的公路变形类病害检测方法,包括以下步骤:A method for detecting road deformation defects based on a single-line laser point cloud, comprising the following steps:

S1、将基于三角测距的单线激光雷达挂载于无人机上,在无人机沿规定路线飞行的途中,记录无人机不同时刻的位姿,并采集横断面形式的道路点云数据。S1. Mount the single-line lidar based on triangular ranging on the UAV, record the pose of the UAV at different times while the UAV is flying along the specified route, and collect cross-sectional road point cloud data.

S2、数据采集过程中存在噪声干扰,导致产生一系列孤立点、干扰点。将采集的道路点云数据除噪,有效排除离群点,得到道路的单帧点云,筛选外侧车道点云,将其以直线的方式拟合标准横断面,并依据拟合直线的斜率插入内侧车道单帧点云,拼接插入点云和外侧车道点云,得到道路的三维点云。S2. There is noise interference in the data collection process, resulting in a series of isolated points and interference points. Denoise the collected road point cloud data, effectively eliminate outliers, obtain a single frame point cloud of the road, filter the point cloud of the outer lane, fit it to the standard cross-section in a straight line, and insert it according to the slope of the fitted line The single-frame point cloud of the inner lane is spliced and inserted into the point cloud and the point cloud of the outer lane to obtain a 3D point cloud of the road.

S3、根据步骤S2的三维点云,将道路划分为特定间隔的路面区域,通过薄板样条插值法拟合道路的基准行车面,在划分的路面区域上定位病害所在区域,以便于研究病害的严重程度,并通过薄板样条插值法确定道路的实际曲面方程。S3. According to the three-dimensional point cloud of step S2, the road is divided into specific intervals of the road surface area, and the reference driving surface of the road is fitted by the thin-plate spline interpolation method, and the area where the disease is located is located on the divided road surface area, so as to study the extent of the disease. Severity, and the actual surface equation of the road is determined by thin-plate spline interpolation.

S4、计算划分的病害区域的最大沉陷、病害最大凸起以及对应的变形体积,确定病害严重程度,判断是否需要养护。S4. Calculate the maximum subsidence, maximum protrusion of the disease and corresponding deformation volume of the divided diseased area, determine the severity of the disease, and judge whether maintenance is required.

进一步的,步骤S2的具体步骤如下:Further, the specific steps of step S2 are as follows:

S201、采用半径滤波算法,对每一个点云以其中心作圆,圆中包含的点数量大于定值则保留,小于定值则删除,采用统计滤波算法,对每一个点云,求解其到领域K内所有点的距离的平均值,求解所有平均值的均值μ与方差σ,设定μ+nv为阈值,n为指定的倍数,以该阈值作为筛选值,由此初步剔除道路点云数据噪声数据,得到道路的单帧点云;基于道路横坡及路面最低点高程确定路面点云范围,从而提取精准的横断面点云。S201. Use the radius filtering algorithm to make a circle with its center for each point cloud. If the number of points contained in the circle is greater than a fixed value, it will be retained, and if it is less than a fixed value, it will be deleted. Using a statistical filtering algorithm, for each point cloud, solve its to Calculate the average value of the distances of all points in the field K, and calculate the mean value μ and variance σ of all average values, set μ+nv as the threshold, n as the specified multiple, and use this threshold as the screening value to initially eliminate the road point cloud Data noise data to obtain a single-frame point cloud of the road; determine the range of the road surface point cloud based on the road cross slope and the elevation of the lowest point on the road surface, thereby extracting an accurate cross-sectional point cloud.

S202、采用基于点云坐标提取单帧数据外侧点云的方法,筛选单帧点云中横断面方向外侧0.5m-3m的点云,作为应急车道点云,用直线的方式拟合应急车道点云,形成标准横断面,并依据直线的斜率,在道路范围内按点间距插入应急车道内侧的单帧点云,用以模拟基准行车面。S202. Using the method of extracting the outer point cloud of single frame data based on the point cloud coordinates, screening the point cloud of 0.5m-3m outside the cross-sectional direction in the single frame point cloud, as the emergency lane point cloud, and fitting the emergency lane points in a straight line Cloud, forming a standard cross-section, and according to the slope of the line, insert the single-frame point cloud inside the emergency lane at point intervals within the road range to simulate the reference driving surface.

S203、由于挂载雷达的无人机在操作行驶的过程中,会因为风力的因素产生偏移和扭转,因此,需要借助传感器得知挂载设备的具体运行轨迹与位姿,才能定位其采集的横断面的三维位置。基于步骤S1记录的单线雷达位姿、S201提取的横断面点云和S202的单帧点云,通过NED(North East Down,北东地坐标系)到LLA(longitude、latitude、altitude,经纬高坐标系)的坐标变换,拼合连续帧的点云数据,形成三维道路点云数据以及基准行车面三维点云数据。S203. Since the UAV equipped with radar will be offset and twisted due to wind factors during operation and driving, it is necessary to use sensors to know the specific running track and pose of the mounted device in order to locate its acquisition. The three-dimensional position of the cross section of . Based on the single-line radar pose recorded in step S1, the cross-sectional point cloud extracted in S201, and the single-frame point cloud in S202, through NED (North East Down, north east coordinate system) to LLA (longitude, latitude, altitude, longitude and latitude high coordinates) System) coordinate transformation, stitching together point cloud data of consecutive frames to form 3D road point cloud data and 3D point cloud data of reference driving surface.

进一步的,步骤S3的具体步骤如下:Further, the specific steps of step S3 are as follows:

S301、基于步骤S202采集的应急车道点云,提取点云平面坐标,采用三次曲线方式拟合道路整体线型,反映道路的走势,并将该曲线划分为10m的小段,提取分段处的x、y坐标以及分段处曲线的法平面,取法平面在xOy投影直线上距离走势曲线20m的内侧的点,确定法平面所夹的道路区域,从而在基准行车面上实现10m一段路面区域的划分;法平面取点坐标记为:S301, based on the point cloud of the emergency lane collected in step S202, extract the plane coordinates of the point cloud, use the cubic curve method to fit the overall line shape of the road, reflect the trend of the road, divide the curve into 10m subsections, and extract x at the subsections , y coordinates, and the normal plane of the curve at the section, take the point on the inside of the normal plane on the xOy projection straight line 20m away from the trend curve, and determine the road area clamped by the normal plane, so as to realize the division of a 10m section of road surface area on the reference driving surface ; The coordinates of points taken on the normal plane are marked as:

QD=[[x01,y01,x02,y02],......]QD=[[x 01 , y 01 , x 02 , y 02 ],  …]

其中,x01表示走势曲线与第一个法平面交点的横坐标,y01表示走势曲线与第一个法平面交点的纵坐标,x02表示第一个法平面内侧取点的横坐标,y02表示第一个法平面内侧取点的纵坐标。Among them, x 01 represents the abscissa of the intersection point of the trend curve and the first normal plane, y 01 represents the ordinate of the intersection point of the trend curve and the first normal plane, x 02 represents the abscissa of the point inside the first normal plane, and y 02 represents the vertical coordinate of the point inside the first normal plane.

S302、由于应急车道的点云较完好地保存了设计之处的道路高程信息,便于后续运算,基于步骤S203的基准行车面三维点云数据,采用平面拟合算法拟合道路的基准行车面,得到关于基准行车面平面方程的参数A0、A1、A2,具体公式为:S302. Since the point cloud of the emergency lane preserves the road elevation information at the design location relatively well, which is convenient for subsequent calculations, based on the three-dimensional point cloud data of the reference traffic surface in step S203, a plane fitting algorithm is used to fit the reference traffic surface of the road, Obtain the parameters A 0 , A 1 , A 2 of the plane equation of the reference traffic surface, the specific formula is:

z=A0x+A1y+A2 z=A 0 x+A 1 y+A 2

其中,A0、A1、A2分别为平面关于x、y坐标的参数和平面在x、y坐标等于0时,z坐标的截距。Among them, A 0 , A 1 , and A 2 are the parameters of the plane about the x and y coordinates and the intercept of the z coordinate of the plane when the x and y coordinates are equal to 0, respectively.

S303、基于步骤S203三维道路点云数据和S302道路基准行车面方程,计算三维道路点云数据与对应xOy坐标的基准面的高程差。S303. Based on the three-dimensional road point cloud data in step S203 and the road reference driving surface equation in step S302, calculate the elevation difference between the three-dimensional road point cloud data and the reference surface corresponding to xOy coordinates.

S304、基于网格法,将道路基准面的xOy坐标划分为1dm×1dm的网格,若点云高程差的绝对值大于预设阈值,并且点位位于基准面下方,则该点位为沉陷病害点,点位所处网格区域为沉陷病害区域;若点云高程差的绝对值大于预设阈值,并且点位位于基准面上方,则该点位为凸起病害点,点位所处网格区域为凸起病害区域;从而初步划分沉陷病害区域Sa和凸起病害区域Sb。S304. Based on the grid method, divide the xOy coordinates of the road datum plane into 1dm×1dm grids, if the absolute value of the elevation difference of the point cloud is greater than the preset threshold, and the point is located below the datum plane, then the point is a subsidence Disease point, the grid area where the point is located is a subsidence disease area; if the absolute value of the point cloud elevation difference is greater than the preset threshold, and the point is above the datum, then the point is a convex disease point, and the point is located The grid area is the raised disease area; thus the subsidence diseased area Sa and the raised diseased area Sb are preliminarily divided.

S305、基于沉陷病害区域以及凸起病害区域点云,以薄板样条插值法拟合道路病害区域的三维曲面方程,具体公式为:S305. Based on the point cloud of the subsidence diseased area and the raised diseased area, the thin-plate spline interpolation method is used to fit the three-dimensional surface equation of the road diseased area. The specific formula is:

U(x)=r2lnrU(x)=r 2 lnr

其中,p(x,y)为曲面上的任意一个点,U(x)为径向基函数,||p-pi||表示点p到某一控制点的距离,已知控制点1、2、3…、N,ωi表示对不同径向基的加权,m0、m1、m2为该平面的参数。Among them, p(x, y) is any point on the surface, U(x) is the radial basis function, ||pp i || indicates the distance from point p to a certain control point, known control points 1, 2 , 3..., N, ω i represent the weighting of different radial basis, m 0 , m 1 , m 2 are the parameters of this plane.

S306、建立点云数据的控制点矩阵、高度矩阵,具体公式为:S306, establish the control point matrix and the height matrix of the point cloud data, the specific formula is:

(1)控制点矩阵(1) Control point matrix

其中,n为控制点数量,第二、三列代表控制点的(x,y)坐标。Among them, n is the number of control points, and the second and third columns represent the (x, y) coordinates of the control points.

(2)高度矩阵(2) Height matrix

其中,v1到vn代表每一个控制点z方向上的坐标。Among them, v 1 to v n represent the coordinates of each control point in the z direction.

S307、计算任意两个控制点的径向基函数值,具体公式为:S307. Calculate the radial basis function value of any two control points, the specific formula is:

其中,rij表示控制点i与j之间的距离,U(rij)为径向基函数对应距离rij的值。Among them, r ij represents the distance between control points i and j, and U(r ij ) is the value of the radial basis function corresponding to the distance r ij .

S308、定义矩阵L为:S308. Define matrix L as:

则上述矩阵存在如下关系:Then the above matrix has the following relationship:

Y=L*(ω1,…ωN,m0,m1,m2)TY=L*(ω 1 , . . . ω N , m 0 , m 1 , m 2 ) T .

基于薄板样条插值原理代入关于控制点的条件函数,计算道路三维曲面方程的所有参数,并完成插值,具体矩阵为:Based on the thin-plate spline interpolation principle, the conditional function about the control points is substituted, all parameters of the three-dimensional surface equation of the road are calculated, and the interpolation is completed. The specific matrix is:

其中,ωij为第i个分段上第j个径向基的加权,mi0,mi1,mi2为第i个分段上的m0,m1,m2系数。Among them, ω ij is the weight of the j-th radial basis on the i-th segment, m i0 , m i1 , m i2 are m 0 , m 1 , m 2 coefficients on the i-th segment.

进一步的,步骤S4的具体步骤为:Further, the specific steps of step S4 are:

S401、提取步骤S3中最大高程差所对应的点位M、N,以M、N点位所在网格及其周边8个网格为选定区域,基于最速下降/上升法,求解点位M、N出的梯度,具体公式为:S401. Extract the points M and N corresponding to the maximum elevation difference in step S3, and use the grid where the M and N points are located and the 8 surrounding grids as the selected area, and solve the point M based on the steepest descent/ascent method , N out of the gradient, the specific formula is:

f=z实际-z基准 f = z actual - z reference

其中,f为道路实际曲面高程与道路基准行车面的差,z实际为道路实际曲面高程,z基准为道路基准行车面;设在选定的病害区域的已知最小点为M,经过k次迭代得到的点记为Mk,Pk表示Mk点曲面变化率最大的方向,dk表示梯度。Among them, f is the difference between the actual surface elevation of the road and the road reference driving surface, z actual is the actual surface elevation of the road, and z reference is the reference driving surface of the road; let the known minimum point in the selected disease area be M, after k times The point obtained by iteration is denoted as M k , P k represents the direction of the maximum surface change rate at point M k , and d k represents the gradient.

S402、根据步骤S305的公式,得到z基准值,对z基准值公式求解微分,得到如下公式:S402. According to the formula in step S305, obtain the z reference value, solve the differential for the z reference value formula, and obtain the following formula:

dk最终表达为:d k is finally expressed as:

其中,N为基准面拟合的控制点数量,Q为道路实际曲面拟合时的控制点数量,Mk(x,y)为当前迭代的起始点位;xi,yi为对应控制点的坐标;r为Mk(x,y)到每一控制点的距离。Among them, N is the number of control points for datum surface fitting, Q is the number of control points for the actual road surface fitting, M k (x, y) is the starting point of the current iteration; x i , y i are the corresponding control points coordinates; r is the distance from M k (x, y) to each control point.

S403、以0.01m为步长求解下一点的高程,并进行迭代,直至出现极值点,该极值点与对应xOy坐标的基准面的高程差即为该路面区域上病害深度/病害高度。S403. Solve the elevation of the next point with a step size of 0.01m, and perform iterations until an extreme point appears, and the elevation difference between the extreme point and the reference plane corresponding to the x0y coordinate is the disease depth/disease height on the road surface area.

S404、在每个病害网格中有规律地取9个点,计算其高程的平均值取/>与网格面积之积为网格的变形体积Vi,具体公式为:S404, regularly take 9 points in each disease grid, and calculate the average value of its elevation take /> The product of the grid area and the grid area is the deformation volume V i of the grid, and the specific formula is:

其中,S为网格面积4cm2;Vi为每一路面区域内的从左至右,而后从下至上的存在变形病害的网格的变形体积。Among them, S is the grid area of 4cm 2 ; V i is the deformation volume of grids with deformation defects from left to right and then from bottom to top in each pavement area.

加和所有的网格变形体积,即为该路面区域沉陷/凸起的体积Va,VbThe sum of all grid deformation volumes is the subsidence/convex volume V a , V b of the pavement area.

S405、基于所述路面病害深度/病害高度,以及路面区域沉陷/凸起体积,完成道路变形类病害的三维评价。S405. Based on the depth/height of the road surface disease and the subsidence/bulge volume of the road surface area, complete the three-dimensional evaluation of road deformation-type diseases.

进一步的,本发明还提出了一种基于单线激光点云的公路变形类病害检测系统,包括Further, the present invention also proposes a detection system for highway deformation defects based on single-line laser point cloud, including

信息采集模块,用于将单线激光雷达挂载于无人机上,在无人机沿规定路线飞行的途中,记录无人机不同时刻的位姿,并采集横断面形式的道路点云数据。The information acquisition module is used to mount the single-line lidar on the UAV, record the pose of the UAV at different times during the flight of the UAV along the specified route, and collect road point cloud data in the form of cross-sections.

道路三维点云获取模块,用于将采集的道路点云数据除噪,得到道路的单帧点云,筛选外侧车道点云,将其以直线的方式拟合标准横断面,并依据拟合直线的斜率插入内侧车道单帧点云,拼接插入点云和外侧车道点云,得到道路的三维点云。The road 3D point cloud acquisition module is used to denoise the collected road point cloud data, obtain a single frame point cloud of the road, filter the point cloud of the outer lane, and fit it to the standard cross-section in a straight line, and according to the fitting line Insert the single-frame point cloud of the inner lane with the slope of , and splicing the inserted point cloud and the point cloud of the outer lane to obtain the 3D point cloud of the road.

病害区域定位模块,用于根据道路三维点云,将道路划分为特定间隔的路面区域,通过薄板样条插值法拟合道路的基准行车面,在划分的路面区域上定位病害所在区域并确定道路的实际曲面方程。The disease area positioning module is used to divide the road into specific interval road surface areas according to the three-dimensional point cloud of the road, fit the reference driving surface of the road through the thin plate spline interpolation method, locate the disease area on the divided road surface area and determine the road The actual surface equation of .

病害区域变形体积计算模块,用于计算划分的病害区域的最大沉陷、病害最大凸起以及对应的变形体积。The deformation volume calculation module of the diseased area is used to calculate the maximum subsidence, the maximum protrusion of the diseased area and the corresponding deformation volume of the divided diseased area.

进一步的,道路三维点云获取模块中,具体步骤如下:Further, in the road 3D point cloud acquisition module, the specific steps are as follows:

步骤1、采用半径滤波算法,对每一个点云以其中心作圆,圆中包含的点数量大于定值则保留,小于定值则删除,采用统计滤波算法,对每一个点云,求解其到领域K内所有点的距离的平均值,求解所有平均值的均值μ与方差σ,设定μ+nσ为阈值,n为指定的倍数,以该阈值作为筛选值,由此初步剔除道路点云数据噪声数据,得到道路的单帧点云;基于道路横坡及路面最低点高程确定路面点云范围,从而提取精准的横断面点云。Step 1. Use the radius filtering algorithm to make a circle with its center for each point cloud. If the number of points contained in the circle is greater than a certain value, it will be retained, and if it is less than a certain value, it will be deleted. Using a statistical filtering algorithm, for each point cloud, its Calculate the average value of the distances to all points in the domain K, and calculate the mean value μ and variance σ of all average values, set μ+nσ as the threshold, n as the specified multiple, and use the threshold as the screening value to initially eliminate road points Cloud data noise data to obtain a single-frame point cloud of the road; determine the range of the road surface point cloud based on the road cross slope and the elevation of the lowest point of the road surface, thereby extracting an accurate cross-sectional point cloud.

步骤2、采用基于点云坐标提取单帧数据外侧点云的方法,筛选单帧点云中横断面方向外侧0.5m-3m的点云,作为应急车道点云,用直线的方式拟合应急车道点云,形成标准横断面,并依据直线的斜率,在道路范围内按点间距插入应急车道内侧的单帧点云。Step 2. Use the method of extracting the outer point cloud of single-frame data based on the point cloud coordinates, and select the point cloud of 0.5m-3m outside the cross-sectional direction in the single-frame point cloud as the point cloud of the emergency lane, and fit the emergency lane in a straight line The point cloud forms a standard cross-section, and according to the slope of the straight line, inserts the single-frame point cloud inside the emergency lane at point intervals within the road range.

步骤3、基于单线雷达位姿、横断面点云和单帧点云,通过NED到LLA坐标系的坐标变换,拼合连续帧的点云数据,形成三维道路点云数据以及基准行车面三维点云数据。Step 3. Based on the single-line radar pose, cross-sectional point cloud and single-frame point cloud, through the coordinate transformation from NED to LLA coordinate system, the point cloud data of consecutive frames are combined to form 3D road point cloud data and 3D point cloud of reference driving surface data.

进一步的,病害区域定位模块中,具体步骤如下:Further, in the disease area location module, the specific steps are as follows:

步骤1、基于应急车道点云,提取点云平面坐标,采用三次曲线方式拟合道路整体线型,并将该曲线划分为10m的小段,提取分段处的x、y坐标以及分段处曲线的法平面,取法平面在xOy投影直线上距离走势曲线20m的内侧的点,确定法平面所夹的道路区域,从而在基准行车面上实现10m一段路面区域的划分;法平面取点坐标记为:Step 1. Based on the point cloud of the emergency lane, extract the plane coordinates of the point cloud, use the cubic curve method to fit the overall line shape of the road, divide the curve into 10m segments, and extract the x and y coordinates of the segments and the curves of the segments The normal plane of the normal plane, take the point on the inner side of the normal plane on the xOy projection straight line 20m away from the trend curve, determine the road area clamped by the normal plane, so as to realize the division of a section of road surface area of 10m on the reference driving surface; the coordinates of the points taken by the normal plane are marked as :

QD=[[x01,y01,x02,y02],......]QD=[[x 01 , y 01 , x 02 , y 02 ],  …]

其中,x01表示走势曲线与第一个法平面交点的横坐标,y01表示走势曲线与第一个法平面交点的纵坐标,x02表示第一个法平面内侧取点的横坐标,y02表示第一个法平面内侧取点的纵坐标。Among them, x 01 represents the abscissa of the intersection point of the trend curve and the first normal plane, y 01 represents the ordinate of the intersection point of the trend curve and the first normal plane, x 02 represents the abscissa of the point inside the first normal plane, and y 02 represents the vertical coordinate of the point inside the first normal plane.

步骤2、基于基准行车面三维点云数据,采用平面拟合算法拟合道路的基准行车面,得到关于基准行车面平面方程的参数A0、A1、A2,具体公式为:Step 2. Based on the 3D point cloud data of the reference traffic surface, use the plane fitting algorithm to fit the reference traffic surface of the road, and obtain the parameters A 0 , A 1 , and A 2 of the plane equation of the reference traffic surface. The specific formula is:

z=A0x+A1y+A2 z=A 0 x+A 1 y+A 2

其中,A0、A1、A2分别为平面关于x、y坐标的参数和平面在x、y坐标等于0时,z坐标的截距。Among them, A 0 , A 1 , and A 2 are the parameters of the plane about the x and y coordinates and the intercept of the z coordinate of the plane when the x and y coordinates are equal to 0, respectively.

步骤3、基于三维道路点云数据和道路基准行车面方程,计算三维道路点云数据与对应xOy坐标的基准面的高程差。Step 3. Based on the three-dimensional road point cloud data and the road datum driving surface equation, calculate the elevation difference between the three-dimensional road point cloud data and the datum plane corresponding to the xOy coordinates.

步骤4、基于网格法,将道路基准面的xOy坐标划分为1dm×1dm的网格,若点云高程差的绝对值大于预设阈值,并且点位位于基准面下方,则该点位为沉陷病害点,点位所处网格区域为沉陷病害区域;若点云高程差的绝对值大于预设阈值,并且点位位于基准面上方,则该点位为凸起病害点,点位所处网格区域为凸起病害区域;从而初步划分沉陷病害区域Sa和凸起病害区域Sb。Step 4. Based on the grid method, the xOy coordinates of the road reference plane are divided into 1dm×1dm grids. If the absolute value of the point cloud elevation difference is greater than the preset threshold and the point is located below the reference plane, then the point is The subsidence disease point, the grid area where the point is located is the subsidence disease area; if the absolute value of the elevation difference of the point cloud is greater than the preset threshold, and the point is above the reference plane, then the point is a convex disease point, and the point is located at The grid area at is the raised diseased area; thus the subsidence diseased area Sa and the raised diseased area Sb are preliminarily divided.

步骤5、基于沉陷病害区域以及凸起病害区域点云,以薄板样条插值法拟合道路病害区域的三维曲面方程,具体公式为:Step 5. Based on the point clouds of the subsidence diseased area and the raised diseased area, the thin-plate spline interpolation method is used to fit the three-dimensional surface equation of the road diseased area. The specific formula is:

U(x)=r2lnrU(x)=r 2 lnr

其中,p(x,y)为曲面上的任意一个点,U(x)为径向基函数,||p-pi||表示点p到某一控制点的距离,已知控制点1、2、3…、N,ωi表示对不同径向基的加权,m0、m1、m2为该平面的参数。Among them, p(x,y) is any point on the surface, U(x) is the radial basis function, ||pp i || indicates the distance from point p to a certain control point, known control points 1, 2 , 3..., N, ω i represent the weighting of different radial basis, m 0 , m 1 , m 2 are the parameters of this plane.

步骤6、建立点云数据的控制点矩阵、高度矩阵,具体公式为:Step 6. Establish the control point matrix and height matrix of the point cloud data. The specific formula is:

(1)控制点矩阵(1) Control point matrix

其中,n为控制点数量,第二、三列代表控制点的(x,y)坐标。Among them, n is the number of control points, and the second and third columns represent the (x, y) coordinates of the control points.

(2)高度矩阵(2) Height matrix

其中,v1到vn代表每一个控制点z方向上的坐标。Among them, v 1 to v n represent the coordinates of each control point in the z direction.

步骤7、计算任意两个控制点的径向基函数值,具体公式为:Step 7, calculate the radial basis function value of any two control points, the specific formula is:

其中,rij表示控制点i与j之间的距离,U(rij)为径向基函数对应距离rij的值。Among them, r ij represents the distance between control points i and j, and U(r ij ) is the value of the radial basis function corresponding to the distance r ij .

步骤8、定义矩阵L为:Step 8, define the matrix L as:

则上述矩阵存在如下关系:Then the above matrix has the following relationship:

Y=L*(ω1,…ωN,m0,m1,m2)TY=L*(ω 1 , . . . ω N , m 0 , m 1 , m 2 ) T .

基于薄板样条插值原理代入关于控制点的条件函数,计算道路三维曲面方程的所有参数,并完成插值,具体矩阵为:Based on the thin-plate spline interpolation principle, the conditional function about the control points is substituted, all parameters of the three-dimensional surface equation of the road are calculated, and the interpolation is completed. The specific matrix is:

其中,ωij为第i个分段上第j个径向基的加权,,mi0,mi1,mi2为第i个分段上的m0,m1,m2系数。Among them, ω ij is the weighting of the jth radial basis on the i-th segment, m i0 , m i1 , m i2 are m 0 , m 1 , m 2 coefficients on the i-th segment.

进一步的,病害区域变形体积计算模块中,具体步骤如下:Further, in the calculation module of the deformed volume of the diseased area, the specific steps are as follows:

步骤1、提取最大高程差所对应的点位M、N,以该M、N点位所在网格及其周边8个网格为选定区域,基于最速下降/上升法,求解点位M、N出的梯度,具体公式为:Step 1. Extract the points M and N corresponding to the maximum elevation difference, take the grid where the M and N points are located and the 8 surrounding grids as the selected area, and solve the points M and N based on the steepest descent/ascent method The gradient out of N, the specific formula is:

f=z实际-z基准 f = z actual - z reference

其中,f为道路实际曲面高程与道路基准行车面的差,z实际为道路实际曲面高程,z基准为道路基准行车面;设在选定的病害区域的已知最小点为M,经过k次迭代得到的点记为Mk,Pk表示Mk点曲面变化率最大的方向,dk表示梯度。Among them, f is the difference between the actual surface elevation of the road and the road reference driving surface, z actual is the actual surface elevation of the road, and z reference is the reference driving surface of the road; let the known minimum point in the selected disease area be M, after k times The point obtained by iteration is denoted as M k , P k represents the direction of the maximum surface change rate at point M k , and d k represents the gradient.

S402、根据步骤S305的公式,得到z基准值,对z基准值公式求解微分,得到如下公式:S402. According to the formula in step S305, obtain the z reference value, solve the differential for the z reference value formula, and obtain the following formula:

dk最终表达为:d k is finally expressed as:

其中,N为基准面拟合的控制点数量,Q为道路实际曲面拟合时的控制点数量,Mk(x,y)为当前迭代的起始点位;xi,yi为对应控制点的坐标;r为Mk(x,y)到每一控制点的距离。Among them, N is the number of control points for datum surface fitting, Q is the number of control points for the actual road surface fitting, M k (x, y) is the starting point of the current iteration; x i , y i are the corresponding control points coordinates; r is the distance from M k (x, y) to each control point.

步骤3、以0.01m为步长求解下一点的高程,并进行迭代,直至出现极值点,该极值点与对应xOy坐标的基准面的高程差即为该路面区域上病害深度/病害高度。Step 3. Solve the elevation of the next point with a step size of 0.01m, and iterate until an extreme point appears. The elevation difference between the extreme point and the reference plane corresponding to xOy coordinates is the disease depth/disease height on the road surface area .

步骤4、在每个病害网格中有规律地取9个点,计算其高程的平均值取/>与网格面积之积为网格的变形体积Vi,具体公式为:Step 4. Take 9 points regularly in each disease grid and calculate the average value of their elevations take /> The product of the grid area and the grid area is the deformation volume V i of the grid, and the specific formula is:

其中,S为网格面积4cm2;Vi为每一路面区域内的从左至右,而后从下至上的存在变形病害的网格的变形体积。Among them, S is the grid area of 4cm 2 ; V i is the deformation volume of grids with deformation defects from left to right and then from bottom to top in each pavement area.

加和所有的网格变形体积,即为该路面区域沉陷/凸起的体积Va,VbThe sum of all grid deformation volumes is the subsidence/convex volume V a , V b of the pavement area.

步骤5、基于所述路面病害深度/病害高度,以及路面区域沉陷/凸起体积,完成道路变形类病害的三维评价。Step 5. Based on the depth/height of the road surface disease and the subsidence/bulge volume of the pavement area, the three-dimensional evaluation of road deformation-type diseases is completed.

本发明采用以上技术方案,与现有技术相比,其显著技术效果如下:The present invention adopts above technical scheme, compared with prior art, its remarkable technical effect is as follows:

本发明拟合了道路曲面和道路基准行车面的方程,简单有效地定位了道路病害区域,完成了三维层次上的变形类病害深度以及变形体积的计算,参考规范提出了综合有效的评价指标。并基于无人机激光雷达采集技术,采用更轻量化,成本更低廉的装载设备,同时采用数据量较小的单线激光雷达,设计了低运算量的三维的变形病害提取算法,减少了运算时间,增加了巡检效率,保障了变形病害深度计算的精度,并从三维角度实现变形类病害的评价。The invention fits the equations of the road curved surface and the road reference driving surface, locates the road disease area simply and effectively, completes the calculation of the depth and deformation volume of the deformed disease on the three-dimensional level, and proposes a comprehensive and effective evaluation index with reference to the specification. And based on the UAV lidar acquisition technology, using lighter and lower-cost loading equipment, and using a single-line lidar with a small amount of data, a low-computing three-dimensional deformation and disease extraction algorithm is designed to reduce computing time. , which increases the inspection efficiency, ensures the accuracy of deformation damage depth calculation, and realizes the evaluation of deformation damage from a three-dimensional perspective.

同时本发明运用薄板样条插值法拟合道路曲面方程,并在该方程的基础上写出方程的梯度公式,结合最速下降/上升法原理,进一步提高了变形类病害深度检测的精确性,参考以往规范,提出了综合的变形类病害评价指标,为后续养护路段的选择和养护材料使用量的计算的进行提供一定的指导帮助。At the same time, the present invention uses thin-plate spline interpolation method to fit the road surface equation, and writes the gradient formula of the equation on the basis of the equation, and combines the principle of the steepest descent/ascent method to further improve the accuracy of deformation-type disease depth detection. Refer to In the previous norms, a comprehensive evaluation index of deformation-related diseases was proposed, which provided certain guidance and assistance for the selection of subsequent maintenance road sections and the calculation of the amount of maintenance materials used.

附图说明Description of drawings

图1是本发明实施例整体流程示意图。Fig. 1 is a schematic diagram of the overall flow of the embodiment of the present invention.

图2是本发明实施例单线激光雷达采集的某一帧横断面点云示意图。Fig. 2 is a schematic diagram of a frame of cross-sectional point cloud collected by a single-line lidar according to an embodiment of the present invention.

图3是本发明实施例点云拼合后的三维点云图像。Fig. 3 is a three-dimensional point cloud image after point cloud stitching according to an embodiment of the present invention.

图4是本发明实施例点云病害区域检测深度计算示意图。Fig. 4 is a schematic diagram of point cloud disease area detection depth calculation according to an embodiment of the present invention.

图5是本发明实施例计算病害体积的微元方格取点示意图。Fig. 5 is a schematic diagram of the point selection of the micro-element grid for calculating the disease volume according to the embodiment of the present invention.

具体实施方式Detailed ways

为了使本发明实现的技术手段、创作特征、达成目的与功效易于明白了解,以下结合实施例及附图对本发明所述的一种基于单线激光点云的公路变形类病害检测方法进行详细说明。In order to make the technical means, creative features, goals and effects of the present invention easy to understand, a method for detecting road deformation defects based on single-line laser point clouds according to the present invention will be described in detail below in conjunction with the embodiments and accompanying drawings.

本发明所述的一种基于单线激光点云的公路变形类病害检测方法,流程图如图1所示,具体包括如下步骤:A method for detecting road deformation defects based on a single-line laser point cloud according to the present invention, the flow chart of which is shown in Figure 1, specifically includes the following steps:

S1、本实施例中采集设备为大疆m600pro无人机,激光雷达为sick lms511单线激光雷达,将激光雷达挂载于无人机下方,无人机位于公路上方进行拍摄,飞行速度设定为1m/s进行巡检。S1. In this embodiment, the acquisition device is DJI m600pro drone, and the laser radar is sick lms511 single-line laser radar. The laser radar is mounted under the drone, and the drone is located above the road for shooting. The flight speed is set to 1m/s for inspection.

在无人机沿规定路线飞行的途中,单线雷达以25hz的频率进行检测,每次检测的角分辨率为0.1667°,每一帧采集的数据点约为1100个,记录无人机不同时刻的位姿,以及激光雷达采集横断面形式的10m段的道路点云数据。During the flight of the UAV along the specified route, the single-line radar detects at a frequency of 25 Hz, the angular resolution of each detection is 0.1667°, and the data points collected in each frame are about 1100, recording the UAV at different times. Poses and attitudes, and the road point cloud data of 10m sections collected by lidar in the form of cross-sections.

S2、将采集的道路点云数据除噪,有效排除离群点,得到道路的单帧点云,筛选外侧车道点云,将其以直线的方式拟合标准横断面,并依据拟合直线的斜率插入内侧车道单帧点云,拼接插入点云和外侧车道点云,得到道路的三维点云,具体步骤如下:S2. Denoise the collected road point cloud data, effectively eliminate outliers, obtain a single-frame point cloud of the road, filter the point cloud of the outer lane, and fit it to the standard cross-section in a straight line, and according to the fit line The slope is inserted into the single-frame point cloud of the inner lane, and the inserted point cloud and the point cloud of the outer lane are spliced to obtain the 3D point cloud of the road. The specific steps are as follows:

S201、道路点云数据是单线激光雷达采集的千帧以上的道路横断面数据,如图2所示。使用open3d读取单帧点云,首先选取点云数据中的最低点,该点为路面点云的最低点,以该点高程至该高程+30cm为边界初步筛选路面数据。采用半径滤波算法,对每一个点云以其中心作圆,圆中包含的点数量大于定值则保留,小于定值则删除,本实施例定值设置为2cm,以及采用统计滤波算法,对每一个点云,求解其到领域内所有点的距离的平均值,求解所有平均值的均值μ与方差σ,设定μ+nσ为阈值,n为指定的倍数,以该阈值作为半径滤波算法的取值筛选点云,并结合路面高程和点云的法向量,初步剔除单帧点云噪声数据,得到道路的单帧点云。S201. The road point cloud data is road cross-sectional data collected by a single-line lidar with more than 1,000 frames, as shown in FIG. 2 . Use open3d to read a single frame point cloud, first select the lowest point in the point cloud data, which is the lowest point of the road surface point cloud, and use the elevation of this point to the elevation +30cm as the boundary to initially screen the road surface data. Using the radius filter algorithm, make a circle with its center for each point cloud. If the number of points contained in the circle is greater than a fixed value, it will be retained, and if it is less than a fixed value, it will be deleted. In this embodiment, the fixed value is set to 2cm, and the statistical filter algorithm is used. For each point cloud, calculate the average value of its distance to all points in the field, and calculate the mean value μ and variance σ of all average values, set μ+nσ as the threshold, n as the specified multiple, and use the threshold as the radius filtering algorithm The point cloud is screened by the value of , and combined with the road surface elevation and the normal vector of the point cloud, the single-frame point cloud noise data is preliminarily eliminated, and the single-frame point cloud of the road is obtained.

点云的法向量是某一点及其邻域内的点云拟合而成的平面的法向量,对于路面而言,法向量的方向主要分布在z坐标。通过open3d的estimate normals函数来计算法向量,将法向量的模长修正为1,方向为z坐标正向。The normal vector of the point cloud is the normal vector of a plane fitted by a point and the point cloud in its neighborhood. For the road surface, the direction of the normal vector is mainly distributed in the z coordinate. The normal vector is calculated by the estimate normals function of open3d, the modulus length of the normal vector is corrected to 1, and the direction is the positive direction of the z coordinate.

若法向量的z坐标数据大于0.9,则该点为无病害的路面点;提取单帧点云在y方向上坐标的最大最小值,该范围内所有点云均视为路面点。基于道路横坡及路面最低点高程确定路面点云范围,从而提取精准的横断面点云,用以拼合三维点云数据。If the z-coordinate data of the normal vector is greater than 0.9, the point is a disease-free road point; extract the maximum and minimum values of the single-frame point cloud coordinates in the y direction, and all point clouds within this range are regarded as road points. Based on the cross slope of the road and the elevation of the lowest point of the road surface, the point cloud range of the road surface is determined, so as to extract the accurate cross-sectional point cloud, which is used to merge the 3D point cloud data.

S202、由于应急车道在在道路运行过程中大多不会产生变形病害,故将外侧应急车道的横断面当做直线延长,可以得到与标准横断面相近的结果,在原有设计资料缺少的情况下可以视作标准横断面。S202. Since most of the emergency lanes will not cause deformation and damage during road operation, the cross section of the outer emergency lane is extended as a straight line, and the result close to the standard cross section can be obtained. In the absence of original design data, it can be viewed Make a standard cross section.

使用open3d读取处理后的路面点云,采用基于点云坐标提取单帧数据外侧点云的方法,筛选单帧点云中横断面方向外侧0.5m-3m的点云,作为应急车道点云,用直线的方式拟合应急车道点云,形成标准横断面,并依据直线的斜率,在道路范围内按点间距2cm插入应急车道内侧的单帧点云,用以模拟基准行车面。记录插入的点云以及所在帧数于数组DY:Use open3d to read the processed road surface point cloud, and use the method of extracting the point cloud outside the single frame data based on the point cloud coordinates, and select the point cloud 0.5m-3m outside the cross-section direction in the single frame point cloud as the emergency lane point cloud, Fit the point cloud of the emergency lane with a straight line to form a standard cross-section, and according to the slope of the line, insert the single-frame point cloud of the inner side of the emergency lane at a point interval of 2cm within the road range to simulate the reference traffic surface. Record the inserted point cloud and the frame number in the array DY:

DY=[[x,y,z,(帧数)],……]。DY=[[x, y, z, (number of frames)], ...].

S203、基于步骤S1记录的单线雷达位姿、S201提取的横断面点云和S202的单帧点云,通过NED到LLA坐标系的坐标变换,拼合连续帧的点云数据,形成三维道路点云数据以及基准行车面三维点云数据。S203. Based on the single-line radar pose recorded in step S1, the cross-sectional point cloud extracted in S201, and the single-frame point cloud in S202, through the coordinate transformation from NED to LLA coordinate system, the point cloud data of consecutive frames are combined to form a three-dimensional road point cloud. data and the 3D point cloud data of the reference driving surface.

为了便于点云建模、桩号设置、区域划分,步骤S1记录的单线雷达位姿、S201提取的横断面点云和S202的单帧点云通过numpy转换为数组DY1,并在所有点云数据后新增一列数据用于标记点云原始所在的帧数。DY1为:In order to facilitate point cloud modeling, chainage setting, and area division, the single-line radar pose recorded in step S1, the cross-sectional point cloud extracted in S201, and the single-frame point cloud in S202 are converted into an array DY1 through numpy, and are included in all point cloud data A new column of data is added to mark the original frame number of the point cloud. DY1 is:

DY1=[[x,y,z,(帧数)],......]。DY1=[[x, y, z, (number of frames)],  …].

S3、根据步骤S2的三维点云,将道路划分为间隔10m的路面区域,通过薄板样条插值法拟合道路的基准行车面,在划分的路面区域上定位病害所在区域,以便于研究病害的严重程度,并通过薄板样条插值法确定道路的实际曲面方程,具体步骤如下:S3. According to the three-dimensional point cloud in step S2, the road is divided into pavement areas with an interval of 10m, and the reference driving surface of the road is fitted by the thin plate spline interpolation method, and the area where the disease is located is located on the divided pavement area, so as to study the extent of the disease. severity, and determine the actual surface equation of the road through the thin plate spline interpolation method, the specific steps are as follows:

图3为本实施例的三维点云图像,圈选区域黑色部分为本实施例病害点云区域。Fig. 3 is a three-dimensional point cloud image of this embodiment, and the black part of the circled area is the diseased point cloud area of this embodiment.

S301、基于步骤S202采集的应急车道点云平面坐标,利用python库函数完成三次曲线方式拟合道路整体线型,标注曲线的桩号,并将其划分为10m的小段,提取分段处的x、y坐标以及分段处曲线的法平面,取法平面在xOy投影直线上距离走势曲线20m的内侧的点,确定法平面所夹的道路区域,并在numpy数组中记录坐标,从而在基准行车面上实现10m一段路面区域的划分。法平面取点坐标记为:S301, based on the point cloud plane coordinates of the emergency lane collected in step S202, use the python library function to complete the cubic curve fitting of the overall road line type, mark the chainage of the curve, and divide it into 10m subsections, extract the x at the subsection , y coordinates, and the normal plane of the curve at the section, take the point on the inside of the normal plane on the xOy projected straight line 20m away from the trend curve, determine the road area clamped by the normal plane, and record the coordinates in the numpy array, so that the reference traffic surface Realize the division of 10m section of road surface area. The coordinates of the points taken on the normal plane are marked as:

QD=[[x01,y01,x02,y02],......]QD=[[x 01 , y 01 , x 02 , y 02 ],  …]

其中,x01表示走势曲线与第一个法平面交点的横坐标,y01表示走势曲线与第一个法平面交点的纵坐标,x02表示第一个法平面内侧取点的横坐标,y02表示第一个法平面内侧取点的纵坐标。Among them, x 01 represents the abscissa of the intersection point of the trend curve and the first normal plane, y 01 represents the ordinate of the intersection point of the trend curve and the first normal plane, x 02 represents the abscissa of the point inside the first normal plane, and y 02 represents the vertical coordinate of the point inside the first normal plane.

S302、基于步骤S203的基准行车面三维点云数据,采用平面拟合算法拟合道路的基准行车面,得到关于基准行车面的参数A0、A1、A2,具体公式为:S302. Based on the three-dimensional point cloud data of the reference traffic surface in step S203, a plane fitting algorithm is used to fit the reference traffic surface of the road to obtain parameters A 0 , A 1 , and A 2 about the reference traffic surface. The specific formula is:

z=A0x+A1y+A2 z=A 0 x+A 1 y+A 2

其中,A0、A1、A2分别为平面关于x、y坐标的参数和平面在x、y坐标等于0时,z坐标的截距。Among them, A 0 , A 1 , and A 2 are the parameters of the plane about the x and y coordinates and the intercept of the z coordinate of the plane when the x and y coordinates are equal to 0, respectively.

S303、基于步骤S203三维道路点云数据和S302道路基准行车面方程,计算三维道路点云数据与对应xOy坐标下的基准面方程的高程差。若该值为负,则说明该点位于基准面之下,否则位于基准面之上。S303. Based on the three-dimensional road point cloud data in step S203 and the road reference surface equation in step S302, calculate the elevation difference between the three-dimensional road point cloud data and the reference surface equation corresponding to xOy coordinates. If the value is negative, the point is below the datum, otherwise it is above the datum.

S304、基于网格法,将道路基准面的xOy坐标划分为1dm×1dm的网格。S304. Based on the grid method, divide the xOy coordinates of the road reference plane into 1dm×1dm grids.

在步骤S203所述的数组DY1中,新增一列数据,用于判断无变形类病害点云。若点云高程差的绝对值大于预设阈值,并且点位位于基准面下方,则该点位为沉陷病害点,点位所处网格区域为沉陷病害区域;若点云高程差的绝对值大于预设阈值,并且点位位于基准面上方,则该点位为凸起病害点,点位所处网格区域为凸起病害区域。本实施例设定的该阈值为±5mm。In the array DY1 described in step S203, a new column of data is added, which is used to determine the non-deformed disease point cloud. If the absolute value of the point cloud elevation difference is greater than the preset threshold, and the point is below the datum, then the point is a subsidence disease point, and the grid area where the point is located is a subsidence disease area; if the absolute value of the point cloud elevation difference is greater than the preset threshold, and the point is above the reference plane, then the point is a raised diseased point, and the grid area where the point is located is a raised diseased area. The threshold value set in this embodiment is ±5 mm.

数组DY1新增一列数据后得到DY2:DY2 is obtained after adding a column of data to the array DY1:

DY2=[[x,y,z,(帧数),(无/沉陷/凸起)],......]DY2=[[x, y, z, (number of frames), (none/sink/raise)],  …]

为了划分点云的位置以及便于后续运算处理,通过网格的方式划分病害点云。网格的信息通过数组WG表示,具体为:In order to divide the position of the point cloud and facilitate subsequent calculation and processing, the disease point cloud is divided by grid. The information of the grid is represented by the array WG, specifically:

WG=[[x,y,(沉陷/凸起),(路面区域序数)],......]WG=[[x, y, (subsidence/bulge), (ordinal number of pavement area)],...]

其中,前两列数据表示网格所在坐标位置,如(2,3)表示坐标系中x=2cm,x=4cm,y=4cm,y=6cm所围成的区域;第三列数据用于标记网格的沉陷与凸起,根据所述数组DY2的第四列数据,若网格内的点云均不为沉陷类点云或者凸起类点云,则该网格内无病害区域;若网格内的点云存在沉陷或者凸起,则该网格为沉陷类病害区域Sa或者凸起类病害区域Sb,后续用于计算沉陷体积Va以及凸起体积Vb;第四列数据为存在病害的网格所在的路面区域序数,根据网格与步骤S301所述法平面(投影到xOy平面后为直线)的位置关系可以确定网格所在的路面区域,从而为该网格的第四列数据赋值,对于无病害的网格,为简化计算,默认为0。Among them, the first two columns of data represent the coordinate position of the grid, such as (2,3) represents the area surrounded by x=2cm, x=4cm, y=4cm, and y=6cm in the coordinate system; the third column of data is used for Mark the subsidence and bulge of the grid, according to the fourth column data of the array DY2, if none of the point clouds in the grid is a subsidence type point cloud or a convex type point cloud, then there is no disease area in the grid; If the point cloud in the grid has subsidence or bulge, the grid is a subsidence-type disease area Sa or a bulge-type disease area Sb, which is subsequently used to calculate the subsidence volume V a and the uplift volume V b ; the fourth column of data Be the ordinal number of the pavement area where the grid where the disease is located, can determine the pavement area where the grid is located according to the positional relationship between the grid and the normal plane described in step S301 (be a straight line after being projected into the x0y plane), so as to be the first road area of the grid Four-column data assignment, for the disease-free grid, to simplify the calculation, the default is 0.

判断网格与法平面位置关系的方法为:取病害网格的中点G,计算点G到QD数组内记录的点的向量;从起始面开始计算相邻法平面的向量内积,若向量内积为负,则G在向量对应的相邻法平面间,从而确定网格所在路面区域;若向量内积为正,则G在向量对应的相邻法平面外,并计算下一组法平面与G的向量内积。The method for judging the positional relationship between the grid and the normal plane is: take the midpoint G of the diseased grid, and calculate the vector from point G to the point recorded in the QD array; calculate the vector inner product of the adjacent normal plane from the starting plane, if If the vector inner product is negative, then G is between the adjacent normal planes corresponding to the vector, thereby determining the road area where the grid is located; if the vector inner product is positive, then G is outside the adjacent normal plane corresponding to the vector, and the next set of The vector inner product of the normal plane and G.

S305、基于沉陷病害区域以及凸起病害区域点云,以薄板样条插值法拟合道路病害区域的三维曲面方程,具体公式为:S305. Based on the point cloud of the subsidence diseased area and the raised diseased area, the thin-plate spline interpolation method is used to fit the three-dimensional surface equation of the road diseased area. The specific formula is:

U(x)=r2lnrU(x)=r 2 lnr

其中,p(x,y)为曲面上的任意一个点,U(x)为径向基函数,||p-pi||表示点p到某一控制点的距离,已知控制点1、2、3…、N,ωi表示对不同径向基的加权,m0、m1、m2为该平面的参数。Among them, p(x, y) is any point on the surface, U(x) is the radial basis function, ||pp i || indicates the distance from point p to a certain control point, known control points 1, 2 , 3..., N, ω i represent the weighting of different radial basis, m 0 , m 1 , m 2 are the parameters of this plane.

S306、三维曲面方程存在点云数+3个参数,建立点云数据的控制点矩阵、高度矩阵,具体公式为:S306, the three-dimensional surface equation has point cloud number + 3 parameters, and establishes the control point matrix and height matrix of point cloud data. The specific formula is:

(1)控制点矩阵(1) Control point matrix

其中,n为控制点数量,第二、三列代表控制点的(x,y)坐标。Among them, n is the number of control points, and the second and third columns represent the (x, y) coordinates of the control points.

(2)高度矩阵(2) Height matrix

其中,v1到vn代表每一个控制点z方向上的坐标。Among them, v 1 to v n represent the coordinates of each control point in the z direction.

S307、计算任意两个控制点的径向基函数值,代入薄板样条插值的条件函数,从而计算方程的所有参数,并完成插值,具体公式为:S307. Calculating the radial basis function values of any two control points, and substituting them into the thin-plate spline interpolation condition function, thereby calculating all parameters of the equation, and completing the interpolation. The specific formula is:

其中,rij表示控制点i与j之间的距离,U(rij)为径向基函数对应距离rij的值。Among them, r ij represents the distance between control points i and j, and U(r ij ) is the value of the radial basis function corresponding to the distance r ij .

S308、定义矩阵L为:S308. Define matrix L as:

则上述矩阵存在如下关系:Then the above matrix has the following relationship:

Y=L*(ω1,…ωN,m0,m1,m2)TY=L*(ω 1 , . . . ω N , m 0 , m 1 , m 2 ) T .

基于薄板样条插值原理代入关于控制点的条件函数,计算道路三维曲面方程的所有参数,并完成插值,具体矩阵为:Based on the thin-plate spline interpolation principle, the conditional function about the control points is substituted, all parameters of the three-dimensional surface equation of the road are calculated, and the interpolation is completed. The specific matrix is:

其中,ωij为第i个分段上第j个径向基的加权,,mi0,mi1,mi2为第i个分段上的m0,m1,m2系数。Among them, ω ij is the weight of the jth radial basis on the i-th segment, m i0 , m i1 , m i2 are the m 0 , m 1 , m 2 coefficients on the i-th segment.

S4、计算划分的病害区域的最大沉陷、病害最大凸起以及对应的变形体积,确定病害严重程度,判断是否需要养护,具体步骤如下:S4. Calculate the maximum subsidence of the divided disease area, the maximum protrusion of the disease and the corresponding deformation volume, determine the severity of the disease, and judge whether maintenance is required. The specific steps are as follows:

S401、采用python的max和min函数求解高程差最大和最小值对应的点位M和N、其所在的网格以及高程差,在点位M、N邻域内的极值是该路面区域上变形的最值。S401, use the max and min functions of python to solve the point M and N corresponding to the maximum and minimum elevation difference, the grid where it is located, and the elevation difference, and the extreme value in the neighborhood of point M and N is the deformation on the road surface area the most value.

以点位M、N所在网格及其周边8个网格为选定区域,以最速下降/上升法,对该区域道路实际模型求解极值,该极值即为该路面区域上病害深度/病害高度。求解点位M、N出的梯度,如图4所示,左图选取包含最大高程差点的网格,右图在该区域内使用最速下降/上升法,求解模型的最大高程差点。具体公式为:Taking the grid where the points M and N are located and the 8 grids around them as the selected area, the extreme value of the actual road model in this area is solved by the steepest descent/ascent method, and the extreme value is the disease depth/ Disease height. Solve the gradients from points M and N, as shown in Figure 4, select the grid containing the maximum elevation difference in the left figure, and use the steepest descent/ascent method in this area to solve the maximum elevation difference in the right figure. The specific formula is:

f=z实际-z基准 f = z actual - z reference

其中,f为道路实际曲面高程与道路基准行车面的差,z实际为道路实际曲面高程,z基准为道路基准行车面;设在选定的病害区域的已知最小点为M,经过k次迭代得到的点记为Mk,Pk表示Mk点曲面变化率最大的方向,dk表示梯度;Among them, f is the difference between the actual surface elevation of the road and the road reference driving surface, z actual is the actual surface elevation of the road, and z reference is the reference driving surface of the road; let the known minimum point in the selected disease area be M, after k times The point obtained by iteration is denoted as M k , P k represents the direction of the maximum surface change rate of point M k , and d k represents the gradient;

S402、根据步骤S305的公式,得到z基准值,对z基准值公式求解微分,得到如下公式:S402. According to the formula in step S305, obtain the z reference value, solve the differential for the z reference value formula, and obtain the following formula:

dk最终表达为:d k is finally expressed as:

其中,N为基准面拟合的控制点数量,Q为道路实际曲面拟合时的控制点数量,Mk(x,y)为当前迭代的起始点位;xi,yi为对应控制点的坐标;r为Mk(x,y)到每一控制点的距离。Among them, N is the number of control points for datum surface fitting, Q is the number of control points for the actual road surface fitting, M k (x, y) is the starting point of the current iteration; x i , y i are the corresponding control points coordinates; r is the distance from M k (x, y) to each control point.

S403、为保证求解的精度,搜索步长采用λ=1cm,在Mk沿方向dk进行搜索,Mk+1=Mk+λdk。检验原始点位的梯度的模是否小于0.01,若满足则该点即为极值点,若不满足,则不断迭代至梯度的模小于0.01,结束迭代。输出f与Mk,即为变形深度的最值Ha或Hb,与最值对应的坐标。本实施例通过该方法计算得到的病害最大深度为82.9mm。S403. In order to ensure the accuracy of the solution, the search step size is λ=1cm, and the search is performed along the direction d k at M k , and M k+1 =M k +λd k . Check whether the modulus of the gradient of the original point is less than 0.01. If it is satisfied, the point is an extreme point. If not, continue to iterate until the modulus of the gradient is less than 0.01, and end the iteration. The output f and M k are the coordinates corresponding to the maximum value H a or H b of the deformation depth. In this embodiment, the maximum lesion depth calculated by this method is 82.9 mm.

S404、在每个病害网格中有规律地取9个点,取法如图5所示,计算其高程均值与网格面积之积为网格的变形体积Vi,具体公式为:S404. Take 9 points regularly in each disease grid, as shown in Figure 5, and calculate its elevation mean value Pick The product of the grid area and the grid area is the deformation volume V i of the grid, and the specific formula is:

其中,为所取的九个点的高程和的平均值,S为网格面积4cm2;Vi为每一路面区域内的从左至右,而后从下至上的存在变形病害的网格的变形体积。in, is the average value of the elevation sum of the nine points taken, S is the grid area 4cm 2 ; V i is the deformation volume of grids with deformation defects from left to right and then from bottom to top in each pavement area .

若Vi为正,则网格计算了凸起的体积;若Vi为负,则得到沉陷的体积。根据Vi的正负以及网格所属路面区域分别加和所有的网格变形体积,即为该路面区域沉陷/凸起的体积Va,VbIf V i is positive, the grid calculates a raised volume; if V i is negative, a sunken volume is obtained. According to the positive and negative of V i and the road area to which the grid belongs, add up all the grid deformation volumes respectively, that is, the subsidence/bulge volume V a and V b of the road area.

所述的体积指标Va,Vb较大的路段,未来有可能发展出严重病害,并对于后续道路的选择性养护能起到一定的帮助和指导作用。The road sections with large volume indexes V a and V b may develop serious diseases in the future, and can play a certain role in helping and guiding the selective maintenance of subsequent roads.

本实施例计算得到的沉陷病害体积为0.1532m3,未检测到凸起类病害。The volume of the subsidence disease calculated in this example is 0.1532m 3 , and no protrusion type of disease was detected.

S405、基于所述路面病害深度/病害高度,以及路面区域沉陷/凸起体积,完成道路变形类病害的三维评价。S405. Based on the depth/height of the road surface disease and the subsidence/bulge volume of the road surface area, complete the three-dimensional evaluation of road deformation-type diseases.

变形类病害如拥包、波浪、车辙、沉陷等的评价指标,大多以5mm、15mm、25mm作为分界。本发明所述最大变形深度Ha,Hb同样以5mm、15mm、25mm作为分界,划分变形严重程度,如表1所示。其不同之处在于,常用变形类病害的指标为虚拟拉线法或者虚拟直尺法成线到最低点距离,本发明所述最大变形深度Ha,Hb为拟合的道路基准面到病害最低点的距离。因此,同一路段而言,所述最大变形深度Ha,Hb计算值相对更小。The evaluation indexes of deformed diseases such as bulging, waves, ruts, subsidence, etc., mostly use 5mm, 15mm, and 25mm as the boundary. The maximum deformation depths H a and H b of the present invention also use 5mm, 15mm, and 25mm as boundaries to divide the severity of deformation, as shown in Table 1. The difference is that the commonly used indicators of deformation-related diseases are the distance from the line to the lowest point by the virtual drawing method or the virtual ruler method, and the maximum deformation depth H a and H b in the present invention are the distance from the fitted road reference plane to the lowest point of the disease. point distance. Therefore, for the same road section, the calculated values of the maximum deformation depth H a and H b are relatively smaller.

表1病害严重程度划分表Table 1 Classification table of disease severity

结合表1,在实际路面变形类病害的检测中,将每个路段的Ha,Hb,Va,Vb,以及严重程度列在表2中,用于评估整体道路的变形情况。其中,Ha,Hb决定道路变形病害的严重程度,Va,Vb为沉陷和凸起的体积。对于所述的体积指标Va,Vb,两者能为养护和监测的方案提供一定的信息支撑。对于严重程度为中、低的路段,如果存在较大的变形体积,则该类路段病害后续发展为高严重程度病害的可能性较大,在后续的监测与养护中需重点关注,并在备注中进行标注。Combined with Table 1, in the detection of actual road deformation defects, H a , H b , V a , V b , and the severity of each road section are listed in Table 2 to evaluate the overall road deformation. Among them, H a and H b determine the severity of road deformation, and Va and Vb are the volumes of subsidence and bulge. As for the volume indicators V a and V b , they can provide certain information support for the maintenance and monitoring scheme. For road sections with medium and low severity, if there is a large deformation volume, the disease of this type of road section is more likely to develop into a high-severity disease in the future, and it needs to be paid attention to in the follow-up monitoring and maintenance. label in .

表2路面区域变形深度、体积汇总表Table 2 Deformation depth and volume summary table of pavement area

本发明实施例还提出一种基于单线激光点云的公路变形类病害检测系统,包括信息采集模块、道路三维点云获取模块、病害区域定位模块、病害区域变形体积计算模块及可在处理器上运行的计算机程序。需要说明的是,上述系统中的各个模块对应本发明实施例所提供的方法的具体步骤,具备执行方法相应的功能模块和有益效果。未在本实施例中详尽描述的技术细节,可参见本发明实施例所提供的方法。The embodiment of the present invention also proposes a road deformation-type disease detection system based on a single-line laser point cloud, including an information collection module, a road three-dimensional point cloud acquisition module, a disease area positioning module, a disease area deformation volume calculation module and a processor that can A computer program that runs. It should be noted that each module in the above system corresponds to the specific steps of the method provided by the embodiment of the present invention, and has corresponding functional modules and beneficial effects for executing the method. For technical details not described in detail in this embodiment, refer to the method provided in the embodiment of the present invention.

本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。本申请实施例中的方案可以采用各种计算机语言实现,例如,面向对象的程序设计语言Java和直译式脚本语言JavaScript等。Those skilled in the art should understand that the embodiments of the present application may be provided as methods, systems, or computer program products. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein. The solutions in the embodiments of the present application can be realized by using various computer languages, for example, the object-oriented programming language Java and the literal translation scripting language JavaScript.

本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present application is described with reference to flowcharts and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the present application. It should be understood that each procedure and/or block in the flowchart and/or block diagram, and a combination of procedures and/or blocks in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions may be provided to a general purpose computer, special purpose computer, embedded processor, or processor of other programmable data processing equipment to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing equipment produce a An apparatus for realizing the functions specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.

这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions The device realizes the function specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.

这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded onto a computer or other programmable data processing device, causing a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process, thereby The instructions provide steps for implementing the functions specified in the flow chart or blocks of the flowchart and/or the block or blocks of the block diagrams.

尽管已描述了本申请的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例作出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本申请范围的所有变更和修改。While preferred embodiments of the present application have been described, additional changes and modifications to these embodiments can be made by those skilled in the art once the basic inventive concept is appreciated. Therefore, the appended claims are intended to be construed to cover the preferred embodiment and all changes and modifications which fall within the scope of the application.

显然,本领域的技术人员可以对本申请进行各种改动和变型而不脱离本申请的精神和范围。这样,倘若本申请的这些修改和变型属于本申请权利要求及其等同技术的范围之内,则本申请也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the application without departing from the spirit and scope of the application. In this way, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalent technologies, the present application is also intended to include these modifications and variations.

Claims (8)

1.一种基于单线激光点云的公路变形类病害检测方法,其特征在于,包括以下步骤:1. A road deformation class disease detection method based on single-line laser point cloud, is characterized in that, comprises the following steps: S1、将单线激光雷达挂载于无人机上,在无人机沿规定路线飞行的途中,记录无人机不同时刻的位姿,并采集横断面形式的道路点云数据;S1. Mount the single-line lidar on the UAV, record the pose of the UAV at different times while the UAV is flying along the specified route, and collect road point cloud data in the form of cross-sections; S2、将采集的道路点云数据除噪,得到道路的单帧点云,筛选外侧车道点云,将其以直线的方式拟合标准横断面,并依据拟合直线的斜率插入内侧车道单帧点云,拼接插入点云和外侧车道点云,得到道路的三维点云;S2. Denoise the collected road point cloud data to obtain a single-frame point cloud of the road, filter the point cloud of the outer lane, fit it to the standard cross-section in a straight line, and insert the single frame of the inner lane according to the slope of the fitted line Point cloud, splicing and inserting the point cloud and the point cloud of the outer lane to obtain the 3D point cloud of the road; S3、根据步骤S2的三维点云,将道路划分为特定间隔的路面区域,通过薄板样条插值法拟合道路的基准行车面,在划分的路面区域上定位病害所在区域并确定道路的实际曲面方程;S3. According to the three-dimensional point cloud in step S2, divide the road into specific interval road surface areas, fit the reference driving surface of the road by the thin plate spline interpolation method, locate the area where the disease is located on the divided road surface area and determine the actual curved surface of the road equation; S4、计算划分的病害区域的最大沉陷、病害最大凸起以及对应的变形体积。S4. Calculate the maximum subsidence of the divided disease area, the maximum protrusion of the disease, and the corresponding deformation volume. 2.根据权利要求1所述的基于单线激光点云的公路变形类病害检测方法,其特征在于,步骤S2的具体步骤如下:2. the road deformation class disease detection method based on single-line laser point cloud according to claim 1, is characterized in that, the specific steps of step S2 are as follows: S201、采用半径滤波算法,对每一个点云以其中心作圆,圆中包含的点数量大于定值则保留,小于定值则删除,采用统计滤波算法,对每一个点云,求解其到领域内所有点距离的平均值,再求解所有平均值的均值μ与方差σ,设定μ+n为阈值,n为指定的倍数,以该阈值作为筛选值,由此初步剔除道路点云数据噪声数据,得到道路的单帧点云;基于道路横坡及路面最低点高程确定路面点云范围,从而提取精准的横断面点云;S201. Use the radius filtering algorithm to make a circle with its center for each point cloud. If the number of points contained in the circle is greater than a fixed value, it will be retained, and if it is less than a fixed value, it will be deleted. Using a statistical filtering algorithm, for each point cloud, solve its to The average value of all point distances in the field, and then calculate the mean value μ and variance σ of all average values, set μ+n as the threshold, n as the specified multiple, and use the threshold as the screening value, thereby preliminarily eliminating road point cloud data Noise data to obtain a single-frame point cloud of the road; determine the range of the road surface point cloud based on the road cross slope and the elevation of the lowest point of the road surface, so as to extract an accurate cross-sectional point cloud; S202、采用基于点云坐标提取单帧数据外侧点云的方法,筛选单帧点云中横断面方向外侧0.5m-3m的点云,作为应急车道点云,用直线的方式拟合应急车道点云,形成标准横断面,并依据直线的斜率,在道路范围内按点间距插入应急车道内侧的单帧点云;S202. Using the method of extracting the outer point cloud of single frame data based on the point cloud coordinates, screening the point cloud of 0.5m-3m outside the cross-sectional direction in the single frame point cloud, as the emergency lane point cloud, and fitting the emergency lane points in a straight line Cloud, forming a standard cross-section, and according to the slope of the line, insert the single-frame point cloud on the inside of the emergency lane at point intervals within the road range; S203、基于步骤S1记录的单线雷达位姿、S201提取的横断面点云和S202的单帧点云,通过NED到LLA坐标系的坐标变换,拼合连续帧的点云数据,形成三维道路点云数据以及基准行车面三维点云数据。S203. Based on the single-line radar pose recorded in step S1, the cross-sectional point cloud extracted in S201, and the single-frame point cloud in S202, through the coordinate transformation from NED to LLA coordinate system, the point cloud data of consecutive frames are combined to form a three-dimensional road point cloud. data and the 3D point cloud data of the reference driving surface. 3.根据权利要求2所述的基于单线激光点云的公路变形类病害检测方法,其特征在于,步骤S3的具体步骤如下:3. the road deformation class disease detection method based on single-line laser point cloud according to claim 2, is characterized in that, the specific steps of step S3 are as follows: S301、基于步骤S202采集的应急车道点云,提取点云平面坐标,采用三次曲线方式拟合道路整体线型,并将该曲线划分为10m的小段,提取分段处的x、y坐标以及分段处曲线的法平面,取法平面在xOy投影直线上距离走势曲线20m的内侧的点,确定法平面所夹的道路区域,从而在基准行车面上实现10m一段路面区域的划分;法平面取点坐标记为:S301. Based on the point cloud of the emergency lane collected in step S202, extract the plane coordinates of the point cloud, use the cubic curve method to fit the overall line shape of the road, and divide the curve into small sections of 10m, and extract the x, y coordinates and points of the subsections. For the normal plane of the curve at the section, the point on the inside of the normal plane on the xOy projected straight line 20m away from the trend curve is taken to determine the road area clamped by the normal plane, so as to realize the division of a 10m section of road surface area on the reference driving surface; the normal plane takes points The coordinates are marked as: QD=[[X01,y01,x02,y02],......]QD=[[X 01 ,y 01 ,x 02 ,y 02 ],...] 其中,x01表示走势曲线与第一个法平面交点的横坐标,y01表示走势曲线与第一个法平面交点的纵坐标,x02表示第一个法平面内侧取点的横坐标,y02表示第一个法平面内侧取点的纵坐标;Among them, x 01 represents the abscissa of the intersection point of the trend curve and the first normal plane, y 01 represents the ordinate of the intersection point of the trend curve and the first normal plane, x 02 represents the abscissa of the point inside the first normal plane, and y 02 represents the ordinate of the point taken inside the first normal plane; S302、基于步骤S203的基准行车面三维点云数据,采用平面拟合算法拟合道路的基准行车面,得到关于基准行车面平面方程的参数A0、A1、A2,具体公式为:S302. Based on the three-dimensional point cloud data of the reference traffic surface in step S203, a plane fitting algorithm is used to fit the reference traffic surface of the road to obtain parameters A 0 , A 1 , and A 2 of the plane equation of the reference traffic surface. The specific formula is: z=Aox+A1y+A2 z=A o x+A 1 y+A 2 其中,A0、A1、A2分别为平面关于x、y坐标的参数以及平面在x、y坐标等于0时,z坐标的截距;Among them, A 0 , A 1 , and A 2 are the parameters of the plane about the x and y coordinates and the intercept of the z coordinate of the plane when the x and y coordinates are equal to 0; S303、基于步骤S203三维道路点云数据和S302道路基准行车面方程,计算三维道路点云数据与对应xOy坐标的基准面的高程差;S303, based on the step S203 three-dimensional road point cloud data and S302 road datum driving surface equation, calculate the elevation difference between the three-dimensional road point cloud data and the datum plane corresponding to the xOy coordinates; S304、基于网格法,将道路基准面的xOy坐标划分为1dm×1dm的网格,若点云高程差的绝对值大于预设阈值,并且点位位于基准面下方,则该点位为沉陷病害点,点位所处网格区域为沉陷病害区域;若点云高程差的绝对值大于预设阈值,并且点位位于基准面上方,则该点位为凸起病害点,点位所处网格区域为凸起病害区域;从而初步划分沉陷病害区域Sa和凸起病害区域Sb;S304. Based on the grid method, divide the xOy coordinates of the road datum plane into 1dm×1dm grids, if the absolute value of the elevation difference of the point cloud is greater than the preset threshold, and the point is located below the datum plane, then the point is a subsidence Disease point, the grid area where the point is located is a subsidence disease area; if the absolute value of the point cloud elevation difference is greater than the preset threshold, and the point is above the datum, then the point is a convex disease point, and the point is located The grid area is the raised disease area; thus the subsidence diseased area Sa and the raised diseased area Sb are preliminarily divided; S305、基于沉陷病害区域以及凸起病害区域点云,以薄板样条插值法拟合道路病害区域的三维曲面方程,具体公式为:S305. Based on the point cloud of the subsidence diseased area and the raised diseased area, the thin-plate spline interpolation method is used to fit the three-dimensional surface equation of the road diseased area. The specific formula is: U(x)=r2ln rU(x)=r 2 ln r 其中,p(x,y)为曲面上的任意一个点,U(x)为径向基函数,||p-pi||表示点p到某一控制点的距离,已知控制点1、2、3…、N,ωi表示对不同径向基的加权,m0、m1、m2为该平面的参数;Among them, p(x, y) is any point on the surface, U(x) is the radial basis function, ||pp i || indicates the distance from point p to a certain control point, known control points 1, 2 , 3..., N, ω i represent the weighting of different radial basis, m 0 , m 1 , m 2 are the parameters of this plane; S306、建立点云数据的控制点矩阵、高度矩阵,具体公式为:S306, establish the control point matrix and the height matrix of the point cloud data, the specific formula is: (1)控制点矩阵(1) Control point matrix 其中,n为控制点数量,第二、三列代表控制点的(x,y)坐标;Among them, n is the number of control points, and the second and third columns represent the (x, y) coordinates of the control points; (2)高度矩阵(2) Height matrix 其中,v1到vn代表每一个控制点z方向上的坐标;Among them, v 1 to v n represent the coordinates in the z direction of each control point; S307、计算任意两个控制点的径向基函数值,具体公式为:S307. Calculate the radial basis function value of any two control points, the specific formula is: 其中,rij表示控制点i与j之间的距离,U(rij)为径向基函数对应距离rij的值;Among them, r ij represents the distance between control points i and j, U(r ij ) is the value of the radial basis function corresponding to the distance r ij ; S308、定义矩阵L为:S308. Define matrix L as: 则上述矩阵存在如下关系:Then the above matrix has the following relationship: Y=L*(ω1,…ωN,m0,m1,m2)TY=L*(ω 1 ,...ω N , m 0 , m 1 , m 2 ) T ; 基于薄板样条插值原理代入关于控制点的条件函数,计算道路三维曲面方程的所有参数,并完成插值,具体矩阵为:Based on the thin-plate spline interpolation principle, the conditional function about the control points is substituted, all parameters of the three-dimensional surface equation of the road are calculated, and the interpolation is completed. The specific matrix is: 其中,ωij为第i个分段上第j个径向基的加权,,mi0,mi1,mi2为第i个分段上的m0,m1,m2系数。Among them, ω ij is the weight of the jth radial basis on the i-th segment, m i0 , m i1 , m i2 are the m 0 , m 1 , m 2 coefficients on the i-th segment. 4.根据权利要求3所述的基于单线激光点云的公路变形类病害检测方法,其特征在于,步骤S4的具体步骤为:4. The road deformation class disease detection method based on single-line laser point cloud according to claim 3, characterized in that, the specific steps of step S4 are: S401、提取最大高程差所对应的点位M、N,以M、N点位所在网格及其周边8个网格为选定区域,基于最速下降/上升法,求解点位M、N出的梯度,具体公式为:S401. Extract the points M and N corresponding to the maximum elevation difference, and use the grid where the M and N points are located and the 8 surrounding grids as the selected area, and solve the points M and N based on the steepest descent/ascent method The gradient of , the specific formula is: f=z实际-z基准 f = z actual - z reference 其中,f为道路实际曲面高程与道路基准行车面的差,z实际为道路实际曲面高程,z基准为道路基准行车面;设在选定的病害区域的已知最小点为M,经过k次迭代得到的点记为Mk,Pk表示Mk点曲面变化率最大的方向,dk表示梯度;Among them, f is the difference between the actual surface elevation of the road and the road reference driving surface, z actual is the actual surface elevation of the road, and z reference is the reference driving surface of the road; let the known minimum point in the selected disease area be M, after k times The point obtained by iteration is denoted as M k , P k represents the direction of the maximum surface change rate of point M k , and d k represents the gradient; S402、根据步骤S305的公式,得到z基准值,对z基准值公式求解微分,得到如下公式:S402. According to the formula in step S305, obtain the z reference value, solve the differential for the z reference value formula, and obtain the following formula: dk最终表达为:d k is finally expressed as: 其中,N为基准面拟合的控制点数量,Q为道路实际曲面拟合时的控制点数量,Mk(x,y)为当前迭代的起始点位;xi,yi为对应控制点的坐标;r为Mk(x,y)到每一控制点的距离;Among them, N is the number of control points for datum surface fitting, Q is the number of control points for the actual road surface fitting, M k (x, y) is the starting point of the current iteration; x i , y i are the corresponding control points coordinates; r is the distance from M k (x, y) to each control point; S403、以0.01m为步长求解下一点的高程,并进行迭代,直至出现极值点,该极值点与对应xOy坐标的基准面的高程差即为该路面区域上病害深度/病害高度;S403, take 0.01m as the step size to solve the elevation of the next point, and iterate until an extreme point occurs, and the elevation difference between the extreme point and the datum level corresponding to the xOy coordinates is the depth of disease/disease height on the road surface area; S404、在每个病害网格中有规律地取9个点,计算其高程的平均值取/>与网格面积之积为网格的变形体积Vi,具体公式为:S404, regularly take 9 points in each disease grid, and calculate the average value of its elevation take /> The product of the grid area and the grid area is the deformation volume V i of the grid, and the specific formula is: 其中,S为网格面积4cm2;Vi为每一路面区域内的从左至右,从下至上的存在变形病害的网格的变形体积;Among them, S is the grid area of 4cm 2 ; V i is the deformation volume of grids with deformation defects from left to right and bottom to top in each pavement area; 加和所有的网格变形体积,即为该路面区域沉陷/凸起的体积Va,VbAdding up all grid deformation volumes is the subsidence/bulge volume V a , V b of the pavement area; S405、基于所述路面病害深度/病害高度,以及路面区域沉陷/凸起体积,完成道路变形类病害的三维评价。S405. Based on the depth/height of the road surface disease and the subsidence/bulge volume of the road surface area, complete the three-dimensional evaluation of road deformation-type diseases. 5.一种基于单线激光点云的公路变形类病害检测系统,其特征在于,包括5. A road deformation-type disease detection system based on a single-line laser point cloud, characterized in that it includes 信息采集模块,用于将单线激光雷达挂载于无人机上,在无人机沿规定路线飞行的途中,记录无人机不同时刻的位姿,并采集横断面形式的道路点云数据;The information acquisition module is used to mount the single-line lidar on the UAV, record the pose of the UAV at different times during the flight of the UAV along the specified route, and collect road point cloud data in the form of cross-section; 道路三维点云获取模块,用于将采集的道路点云数据除噪,得到道路的单帧点云,筛选外侧车道点云,将其以直线的方式拟合标准横断面,并依据拟合直线的斜率插入内侧车道单帧点云,拼接插入点云和外侧车道点云,得到道路的三维点云;The road 3D point cloud acquisition module is used to denoise the collected road point cloud data, obtain a single frame point cloud of the road, filter the point cloud of the outer lane, and fit it to the standard cross-section in a straight line, and according to the fitting line Insert the single-frame point cloud of the inner lane with the slope of , splicing and inserting the point cloud and the point cloud of the outer lane to obtain a three-dimensional point cloud of the road; 病害区域定位模块,用于根据道路三维点云,将道路划分为特定间隔的路面区域,通过薄板样条插值法拟合道路的基准行车面,在划分的路面区域上定位病害所在区域并确定道路的实际曲面方程;The disease area positioning module is used to divide the road into specific interval road surface areas according to the three-dimensional point cloud of the road, fit the reference driving surface of the road through the thin plate spline interpolation method, locate the disease area on the divided road surface area and determine the road The actual surface equation of ; 病害区域变形体积计算模块,用于计算划分的病害区域的最大沉陷、病害最大凸起以及对应的变形体积。The deformation volume calculation module of the diseased area is used to calculate the maximum subsidence, the maximum protrusion of the diseased area and the corresponding deformation volume of the divided diseased area. 6.根据权利要求5所述的基于单线激光点云的公路变形类病害检测系统,其特征在于,道路三维点云获取模块中,具体步骤如下:6. The road deformation class disease detection system based on single-line laser point cloud according to claim 5, characterized in that, in the road three-dimensional point cloud acquisition module, the specific steps are as follows: 步骤1、采用半径滤波算法,对每一个点云以其中心作圆,圆中包含的点数量大于定值则保留,小于定值则删除,采用统计滤波算法,对每一个点云,求解其到领域K内所有点的距离的平均值,求解所有平均值的均值μ与方差σ,设定μ+nσ为阈值,n为指定的倍数,以该阈值作为筛选值,由此初步剔除道路点云数据噪声数据,得到道路的单帧点云;基于道路横坡及路面最低点高程确定路面点云范围,从而提取精准的横断面点云;Step 1. Use the radius filtering algorithm to make a circle with its center for each point cloud. If the number of points contained in the circle is greater than a certain value, it will be retained, and if it is less than a certain value, it will be deleted. Using a statistical filtering algorithm, for each point cloud, its Calculate the average value of the distances to all points in the domain K, and calculate the mean value μ and variance σ of all average values, set μ+nσ as the threshold, n as the specified multiple, and use the threshold as the screening value to initially eliminate road points Cloud data noise data to obtain a single-frame point cloud of the road; determine the range of the road surface point cloud based on the road cross slope and the elevation of the lowest point of the road surface, so as to extract accurate cross-sectional point clouds; 步骤2、采用基于点云坐标提取单帧数据外侧点云的方法,筛选单帧点云中横断面方向外侧0.5m-3m的点云,作为应急车道点云,用直线的方式拟合应急车道点云,形成标准横断面,并依据直线的斜率,在道路范围内按点间距插入应急车道内侧的单帧点云;Step 2. Use the method of extracting the outer point cloud of single-frame data based on the point cloud coordinates, and select the point cloud of 0.5m-3m outside the cross-sectional direction in the single-frame point cloud as the point cloud of the emergency lane, and fit the emergency lane in a straight line Point cloud, forming a standard cross-section, and according to the slope of the straight line, insert the single-frame point cloud inside the emergency lane at point intervals within the road range; 步骤3、基于单线雷达位姿、横断面点云和单帧点云,通过NED到LLA坐标系的坐标变换,拼合连续帧的点云数据,形成三维道路点云数据以及基准行车面三维点云数据。Step 3. Based on the single-line radar pose, cross-sectional point cloud and single-frame point cloud, through the coordinate transformation from NED to LLA coordinate system, the point cloud data of consecutive frames are combined to form 3D road point cloud data and 3D point cloud of reference driving surface data. 7.根据权利要求5所述的基于单线激光点云的公路变形类病害检测系统,其特征在于,病害区域定位模块中,具体步骤如下:7. The road deformation class disease detection system based on single-line laser point cloud according to claim 5, wherein, in the disease area positioning module, the specific steps are as follows: 步骤1、基于应急车道点云,提取点云平面坐标,采用三次曲线方式拟合道路整体线型,并将该曲线划分为10m的小段,提取分段处的x、y坐标以及分段处曲线的法平面,取法平面在xOy投影直线上距离走势曲线20m的内侧的点,确定法平面所夹的道路区域,从而在基准行车面上实现10m一段路面区域的划分;法平面取点坐标记为:Step 1. Based on the point cloud of the emergency lane, extract the plane coordinates of the point cloud, use the cubic curve method to fit the overall line shape of the road, divide the curve into 10m segments, and extract the x and y coordinates of the segments and the curves of the segments The normal plane of the normal plane, take the point on the inner side of the normal plane on the xOy projection straight line 20m away from the trend curve, determine the road area clamped by the normal plane, so as to realize the division of a section of road surface area of 10m on the reference driving surface; the coordinates of the points taken by the normal plane are marked as : QD=[[x01,y01,x02,y02],......]QD=[[x 01 ,y 01 ,x 02 ,y 02 ],...] 其中,x01表示走势曲线与第一个法平面交点的横坐标,y01表示走势曲线与第一个法平面交点的纵坐标,x02表示第一个法平面内侧取点的横坐标,y02表示第一个法平面内侧取点的纵坐标;Among them, x 01 represents the abscissa of the intersection point of the trend curve and the first normal plane, y 01 represents the ordinate of the intersection point of the trend curve and the first normal plane, x 02 represents the abscissa of the point inside the first normal plane, and y 02 represents the ordinate of the point taken inside the first normal plane; 步骤2、基于基准行车面三维点云数据,采用平面拟合算法拟合道路的基准行车面,得到关于基准行车面平面方程的参数A0、A1、A2,具体公式为:Step 2. Based on the 3D point cloud data of the reference traffic surface, use the plane fitting algorithm to fit the reference traffic surface of the road, and obtain the parameters A 0 , A 1 , and A 2 of the plane equation of the reference traffic surface. The specific formula is: z=A0x+A1y+A2 z=A 0 x+A 1 y+A 2 其中,A0、A1、A2分别为平面关于x、y坐标的参数和平面在x、y坐标等于0时,z坐标的截距;Among them, A 0 , A 1 , and A 2 are the parameters of the plane about the x and y coordinates and the intercept of the z coordinate of the plane when the x and y coordinates are equal to 0; 步骤3、基于三维道路点云数据和道路基准行车面方程,计算三维道路点云数据与对应xOy坐标的基准面的高程差;Step 3, based on the three-dimensional road point cloud data and the road datum driving surface equation, calculate the elevation difference between the three-dimensional road point cloud data and the datum plane corresponding to the xOy coordinates; 步骤4、基于网格法,将道路基准面的xOy坐标划分为1dm×1dm的网格,若点云高程差的绝对值大于预设阈值,并且点位位于基准面下方,则该点位为沉陷病害点,点位所处网格区域为沉陷病害区域;若点云高程差的绝对值大于预设阈值,并且点位位于基准面上方,则该点位为凸起病害点,点位所处网格区域为凸起病害区域;从而初步划分沉陷病害区域Sa和凸起病害区域Sb;Step 4. Based on the grid method, the xOy coordinates of the road reference plane are divided into 1dm×1dm grids. If the absolute value of the point cloud elevation difference is greater than the preset threshold and the point is located below the reference plane, then the point is The subsidence disease point, the grid area where the point is located is the subsidence disease area; if the absolute value of the elevation difference of the point cloud is greater than the preset threshold, and the point is above the reference plane, then the point is a convex disease point, and the point is located at The grid area at is the convex disease area; thus the subsidence disease area Sa and the convex disease area Sb are preliminarily divided; 步骤5、基于沉陷病害区域以及凸起病害区域点云,以薄板样条插值法拟合道路病害区域的三维曲面方程,具体公式为:Step 5. Based on the point clouds of the subsidence diseased area and the raised diseased area, the thin-plate spline interpolation method is used to fit the three-dimensional surface equation of the road diseased area. The specific formula is: U(x)=r2lnrU(x)=r 2 lnr 其中,p(x,y)为曲面上的任意一个点,U(x)为径向基函数,||p-pi||表示点p到某一控制点的距离,已知控制点1、2、3…、N,ωi表示对不同径向基的加权,m0、m1、m2为该平面的参数;Among them, p(x, y) is any point on the surface, U(x) is the radial basis function, ||pp i || indicates the distance from point p to a certain control point, known control points 1, 2 , 3..., N, ω i represent the weighting of different radial basis, m 0 , m 1 , m 2 are the parameters of this plane; 步骤6、建立点云数据的控制点矩阵、高度矩阵,具体公式为:Step 6. Establish the control point matrix and height matrix of the point cloud data. The specific formula is: (1)控制点矩阵(1) Control point matrix 其中,n为控制点数量,第二、三列代表控制点的(x,y)坐标;Among them, n is the number of control points, and the second and third columns represent the (x, y) coordinates of the control points; (2)高度矩阵(2) Height matrix 其中,v1到vn代表每一个控制点z方向上的坐标;Among them, v 1 to v n represent the coordinates in the z direction of each control point; 步骤7、计算任意两个控制点的径向基函数值,具体公式为:Step 7, calculate the radial basis function value of any two control points, the specific formula is: 其中,rij表示控制点i与j之间的距离,U(rij)为径向基函数对应距离rij的值;Among them, r ij represents the distance between control points i and j, U(r ij ) is the value of the radial basis function corresponding to the distance r ij ; 步骤8、定义矩阵L为:Step 8, define the matrix L as: 则上述矩阵存在如下关系:Then the above matrix has the following relationship: Y=L*(ω1,·…ωN,m0,m1,m2)TY=L*(ω 1 ,...ω N , m 0 , m 1 , m 2 ) T ; 基于薄板样条插值原理代入关于控制点的条件函数,计算道路三维曲面方程的所有参数,并完成插值,具体矩阵为:Based on the thin-plate spline interpolation principle, the conditional function about the control points is substituted, all parameters of the three-dimensional surface equation of the road are calculated, and the interpolation is completed. The specific matrix is: 其中,ωij为第i个分段上第j个径向基的加权,,mi0,mi1,mi2为第i个分段上的m0,m1,m2系数。Among them, ω ij is the weight of the jth radial basis on the i-th segment, m i0 , m i1 , m i2 are the m 0 , m 1 , m 2 coefficients on the i-th segment. 8.根据权利要求5所述的基于单线激光点云的公路变形类病害检测系统,其特征在于,病害区域变形体积计算模块中,具体步骤如下:8. The road deformation class disease detection system based on single-line laser point cloud according to claim 5, wherein, in the disease area deformation volume calculation module, the specific steps are as follows: 步骤1、提取最大高程差所对应的点位M、N,以该M、N点位所在网格及其周边8个网格为选定区域,基于最速下降/上升法,求解点位M、N出的梯度,具体公式为:Step 1. Extract the points M and N corresponding to the maximum elevation difference, take the grid where the M and N points are located and the 8 surrounding grids as the selected area, and solve the points M and N based on the steepest descent/ascent method The gradient out of N, the specific formula is: f=z实际-z基准 f = z actual - z reference 其中,f为道路实际曲面高程与道路基准行车面的差,z实际为道路实际曲面高程,z基准为道路基准行车面;设在选定的病害区域的已知最小点为M,经过k次迭代得到的点记为Mk,Pk表示Mk点曲面变化率最大的方向,dk表示梯度;Among them, f is the difference between the actual surface elevation of the road and the road reference driving surface, z actual is the actual surface elevation of the road, and z reference is the reference driving surface of the road; let the known minimum point in the selected disease area be M, after k times The point obtained by iteration is denoted as M k , P k represents the direction of the maximum surface change rate of point M k , and d k represents the gradient; S402、根据步骤S305的公式,得到z基准值,对z基准值公式求解微分,得到如下公式:S402. According to the formula in step S305, obtain the z reference value, solve the differential for the z reference value formula, and obtain the following formula: dk最终表达为:d k is finally expressed as: 其中,N为基准面拟合的控制点数量,Q为道路实际曲面拟合时的控制点数量,Mk(x,y)为当前迭代的起始点位;xi,yi为对应控制点的坐标;r为Mk(x,y)到每一控制点的距离;Among them, N is the number of control points for datum surface fitting, Q is the number of control points for the actual road surface fitting, M k (x, y) is the starting point of the current iteration; x i , y i are the corresponding control points coordinates; r is the distance from M k (x, y) to each control point; 步骤3、以0.01m为步长求解下一点的高程,并进行迭代,直至出现极值点,该极值点与对应xOy坐标的基准面的高程差即为该路面区域上病害深度/病害高度;Step 3. Solve the elevation of the next point with a step size of 0.01m, and iterate until an extreme point appears. The elevation difference between the extreme point and the reference plane corresponding to xOy coordinates is the disease depth/disease height on the road surface area ; 步骤4、在每个病害网格中有规律地取9个点,计算其高程的平均值取/>与网格面积之积为网格的变形体积Vi,具体公式为:Step 4. Take 9 points regularly in each disease grid and calculate the average value of their elevations take /> The product of the grid area and the grid area is the deformation volume V i of the grid, and the specific formula is: 其中,为所取的九个点的高程和的平均值,S为网格面积4cm2;Vi为每一路面区域内的从左至右,而后从下至上的存在变形病害的网格的变形体积;in, is the average value of the elevation sum of the nine points taken, S is the grid area 4cm 2 ; V i is the deformation volume of grids with deformation defects from left to right and then from bottom to top in each pavement area ; 加和所有的网格变形体积,即为该路面区域沉陷/凸起的体积Va,VbAdding up all grid deformation volumes is the subsidence/bulge volume V a , V b of the pavement area; 步骤5、基于所述路面病害深度/病害高度,以及路面区域沉陷/凸起体积,完成道路变形类病害的三维评价。Step 5. Based on the depth/height of the road surface disease and the subsidence/bulge volume of the pavement area, the three-dimensional evaluation of road deformation-type diseases is completed.
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117647220A (en) * 2024-01-25 2024-03-05 安徽省交通规划设计研究总院股份有限公司 Asphalt pavement subsidence treatment method based on laser point cloud data
CN118196091A (en) * 2024-05-16 2024-06-14 东港市广增建筑安装有限公司 Asphalt road quality detection method based on image recognition

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117647220A (en) * 2024-01-25 2024-03-05 安徽省交通规划设计研究总院股份有限公司 Asphalt pavement subsidence treatment method based on laser point cloud data
CN117647220B (en) * 2024-01-25 2024-04-26 安徽省交通规划设计研究总院股份有限公司 Asphalt pavement subsidence treatment method based on laser point cloud data
CN118196091A (en) * 2024-05-16 2024-06-14 东港市广增建筑安装有限公司 Asphalt road quality detection method based on image recognition

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