CN107632308A - A kind of vehicle front barrier profile testing method based on recurrence superposition algorithm - Google Patents
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Abstract
Description
技术领域technical field
本发明属于汽车智能驾驶和雷达技术领域,涉及雷达对目标的识别方法,具体涉及一种基于递归叠加算法的车辆前方障碍物轮廓检测方法,用以解决现有雷达无法快速准确地识别路面障碍物轮廓问题。The invention belongs to the field of automobile intelligent driving and radar technology, and relates to a method for identifying targets by radar, in particular to a method for detecting the contours of obstacles in front of a vehicle based on a recursive superposition algorithm, which is used to solve the problem that existing radars cannot quickly and accurately identify road obstacles Contour problem.
背景技术Background technique
激光雷达是一种常用的测距传感器,由于具有分辨率高、受环境因素干扰小等优点,被广泛用在各种领域。激光雷达分为单线激光雷达、多线激光雷达和面阵雷达三种。单线激光雷达每次扫描产生一条扫描线,其测距速度快、数据量少、体积小、重量轻、适合快速处理,因高性价比,目前单线激光雷达的使用最为广泛。LiDAR is a commonly used ranging sensor. It is widely used in various fields due to its advantages of high resolution and low interference from environmental factors. Lidar is divided into three types: single-line lidar, multi-line lidar and area array radar. Single-line lidar generates one scan line per scan. It has fast ranging speed, less data volume, small size, light weight, and is suitable for fast processing. Because of its high cost performance, single-line lidar is currently the most widely used.
激光雷达是一类使用光波进行距离测量的传感器。激光雷达常采用脉冲传播时间法测量对象的距离。工作时,它会以聚集光束的形式发射出激光脉冲,并测量发射和接收回波之间的传播时间,且由于激光脉冲以光速传播,所以可以确定距离。激光发生器到目标单个反射点的距离为:d=ct/2,其中,c为光速;t为从地面激光雷达发射激光波束至接收到回波信号的时间差;d为激光发射器到目标反射点的距离。LiDAR is a class of sensors that use light waves for distance measurement. LiDAR often uses the pulse propagation time method to measure the distance of objects. In operation, it emits a laser pulse in the form of a focused beam and measures the travel time between sending and receiving the echo, and since the laser pulse travels at the speed of light, the distance can be determined. The distance from the laser generator to a single reflection point of the target is: d=ct/2, where c is the speed of light; t is the time difference from when the ground laser radar emits the laser beam to when the echo signal is received; d is the reflection from the laser transmitter to the target point distance.
激光光束可以很好地通过光学系统聚集,因此不仅是距离,目标相对于传感器的准确的侧面和垂直位置也都可以得到确定。采用这种测量原理能够实现毫米级的距离测量,因此非常适合检测路面不平度的微小变化,从而构建整个地面高度轮廓。The laser beam is well focused by the optics so that not only the distance but also the exact lateral and vertical position of the target relative to the sensor can be determined. This measuring principle enables distance measurements in the millimeter range and is therefore ideal for detecting small changes in road surface irregularities and thus constructing the entire ground level profile.
激光雷达光束投射到尘粒、雨滴表面时会导致距离数值计算错误。而且由于车载雷达在运动状态过程中存在若干外界干扰,使得雷达脉冲回波更加不可控,因此必须要有智能分析算法才可达到实用化。When the lidar beam is projected on the surface of dust particles and raindrops, it will cause the calculation of the distance value to be wrong. Moreover, because the vehicle-mounted radar has some external interference during the motion state, the radar pulse echo is more uncontrollable, so an intelligent analysis algorithm must be used to achieve practicality.
目前针对车辆前方障碍物轮廓的测量已有较多的研究:At present, there have been many studies on the measurement of the obstacle profile in front of the vehicle:
相关文献1:申请号201310063898.2,理光株式会社陈超,师忠超利用双目摄像机提供了一种在道路场景中估计路面高度形状的方法和系统,该方法包括:获得道路场景的视差图;基于所述视差图检测路面感兴趣区;基于所述路面感兴趣区确定多个路面感兴趣点;以及基于所述多个路面感兴趣点来估计路面高度形状。由于通常道路场景非常复杂,包括行人、车辆、障碍物等,使得算法的计算量很大,一般需要扫描数据之后离线处理,很难实时在线检测。Related Document 1: Application No. 201310063898.2, Chao Chen and Zhongchao Shi of Ricoh Corporation provided a method and system for estimating the height and shape of the road surface in a road scene by using a binocular camera. The method includes: obtaining a disparity map of the road scene; based on The disparity map detects a road surface region of interest; determines a plurality of road surface interest points based on the road surface region of interest; and estimates a road surface height shape based on the plurality of road surface interest points. Because the road scene is usually very complex, including pedestrians, vehicles, obstacles, etc., the calculation of the algorithm is very large. Generally, the scanned data needs to be processed offline, and it is difficult to detect online in real time.
相关文献2:F.Moosmann等提出了一种具有障碍物识别能力的图像识别算法。这种算法采用三维激光雷达,将地面以及障碍物进行识别分割。由于三维激光雷达还未达到量产阶段,价格昂贵,限制了该方法的应用范围。Related literature 2: F.Moosmann et al. proposed an image recognition algorithm with obstacle recognition ability. This algorithm uses three-dimensional lidar to identify and segment the ground and obstacles. Since the three-dimensional lidar has not yet reached the mass production stage, it is expensive, which limits the scope of application of this method.
相关文献3:申请号201610804686.9,宋伟,周小龙,吴彬公开了一种利用卷积神经网络CNN的障碍物识别方法,利用深度学习算法,基于仿生眼系统进行障碍物的识别,并提供了在识别过程中配置接口的方法,加强了识别过程与仿生眼系统的通信过程。该方法具有较高的识别率,但是算法的有效执行必须要依赖大量图像模型库的神经网络训练,一旦障碍物信息在模型库中缺失,将会极大地影响识别结果。Related Document 3: Application No. 201610804686.9, Song Wei, Zhou Xiaolong, and Wu Bin disclosed an obstacle recognition method using convolutional neural network CNN, using deep learning algorithms to identify obstacles based on the bionic eye system, and provided The method of configuring the interface during the recognition process strengthens the communication process between the recognition process and the bionic eye system. This method has a high recognition rate, but the effective execution of the algorithm must rely on the neural network training of a large number of image model libraries. Once the obstacle information is missing in the model library, the recognition results will be greatly affected.
发明内容Contents of the invention
本发明目的在于提供一种基于递归叠加算法的车辆前方障碍物轮廓检测方法,通过多次连续扫描递归匹配对激光脉冲回波信号进行多次分析,以此增加信号的信息密度,准确得到车辆前方障碍物轮廓高度,可以不受限制地应用在道路交通中。The object of the present invention is to provide a method for detecting the contour of an obstacle in front of a vehicle based on a recursive superposition algorithm. The laser pulse echo signal is analyzed multiple times through recursive matching of multiple continuous scans, thereby increasing the information density of the signal and accurately obtaining the vehicle front. Obstacle profile height, can be used in road traffic without restriction.
本发明的目的是通过以下方案实现的:The purpose of the present invention is achieved by the following scheme:
一种基于递归叠加算法的车辆前方障碍物轮廓检测方法,激光雷达安装方案:A method for detecting the contours of obstacles in front of the vehicle based on the recursive superposition algorithm, and the laser radar installation scheme:
激光雷达安装在车辆前部的大灯高度位置,可以从保险杠结束的位置开始测量道路,激光雷达的光束会较倾斜地投射在车道上。较平的扫描角所带来的缺点与安装在车辆时丢失的车辆前的几米测量长度相比,比较轻微,因此,要实现预瞄功能,将激光雷达安装在大灯高度位置比较合适;The lidar is installed at the height of the headlights in the front of the vehicle, and can measure the road from the position where the bumper ends, and the beam of the lidar is projected obliquely on the lane. The disadvantages caused by the flatter scanning angle are relatively slight compared with the measured length of a few meters in front of the vehicle that is lost when installed in the vehicle. Therefore, to realize the preview function, it is more appropriate to install the lidar at the height of the headlight;
本发明方法包括以下步骤:The inventive method comprises the following steps:
步骤一、通过激光雷达与地面的几何关系计算障碍物轮廓高度,建立极坐标系,将激光雷达采集到的障碍物轮廓高度原始数据通过三角函数坐标变换转换成极坐标;Step 1. Calculate the obstacle contour height through the geometric relationship between the laser radar and the ground, establish a polar coordinate system, and convert the original data of the obstacle contour height collected by the laser radar into polar coordinates through trigonometric coordinate transformation;
步骤二、过去扫描数据与现在扫描数据的坐标匹配:通过三角函数坐标变换把障碍物轮廓高度方程式从极坐标系表示转换成笛卡尔坐标系,以此将两次扫描纳入同一个坐标系下;Step 2. Match the coordinates of the past scan data and the current scan data: convert the obstacle contour height equation from the polar coordinate system to the Cartesian coordinate system through trigonometric coordinate transformation, so as to incorporate the two scans into the same coordinate system;
步骤三、考虑雷达光束具有正态分布的特点引入概率密度函数:引入高斯正态分布,得到每个测量点的正态分布概率密度函数,通过概率密度函数表征出雷达测量点光斑所获得的障碍物轮廓高度的真实分布情况;Step 3. Introduce the probability density function considering the normal distribution of the radar beam: Introduce the Gaussian normal distribution to obtain the normal distribution probability density function of each measurement point, and use the probability density function to characterize the obstacles obtained by the radar measurement point spot The real distribution of object silhouette height;
步骤四、实现障碍物轮廓的准连续估计:由所述步骤三完成各扫描点的概率密度分布情况,可以通过概率密度曲线进行轮廓高度的准连续估计;建立一个坐标系,横坐标代表激光雷达光束扫描的测量点到雷达的距离,纵坐标代表障碍物轮廓高度值,在横坐标上引入一个具有等距采样点的移位寄存器,每次扫描的高度值通过一个量化的横坐标输入,通过激光雷达到扫描点的距离在栅格化的寄存器中计算出障碍物轮廓高度值和概率密度;把一次扫描的n个概率密度函数总和作为统一的标准,得到每一次扫描各个等距点的障碍物轮廓的准连续估计;Step 4. Realize the quasi-continuous estimation of the obstacle contour: the probability density distribution of each scanning point is completed by the step 3, and the quasi-continuous estimation of the contour height can be carried out through the probability density curve; a coordinate system is established, and the abscissa represents the laser radar The distance from the measurement point scanned by the beam to the radar, the ordinate represents the height value of the obstacle contour, and a shift register with equidistant sampling points is introduced on the abscissa, and the height value of each scan is input through a quantized abscissa, through The distance from the lidar to the scanning point calculates the obstacle contour height value and probability density in the rasterized register; the sum of n probability density functions in one scan is used as a unified standard to obtain the obstacles of each equidistant point in each scan quasi-continuous estimation of object contours;
步骤五、通过过去扫描数据与现在扫描数据不断递归叠加的方式求得准确的障碍物轮廓高度,同时引入相关系数,评价两次扫描对真实的障碍物轮廓高度影响的相关程度;Step 5. Accurate obstacle contour height is obtained by continuously recursively superimposing the past scan data and the current scan data, and at the same time, a correlation coefficient is introduced to evaluate the correlation degree of the influence of the two scans on the real obstacle contour height;
步骤六、通过线性回归计算高度值偏差和俯仰角偏差:通过所述步骤五获得了现在扫描数据和过去扫描数据之间的新的关系方程,通过线性回归进行解答,可以求出多组障碍物轮廓高度值偏差和俯仰角偏差,采用最小二乘法可以确定高度值偏差最佳值以及俯仰角偏差最佳值,此时可以计算新扫描数据的高度修正值;Step 6. Calculate the height value deviation and pitch angle deviation through linear regression: through the step 5, a new relationship equation between the current scan data and the past scan data is obtained, and the linear regression is used to solve the problem, and multiple sets of obstacles can be obtained Profile height value deviation and pitch angle deviation, the optimal value of height value deviation and pitch angle deviation can be determined by using the least square method, and the height correction value of the new scanning data can be calculated at this time;
步骤七、新旧扫描数据的融合:利用所述步骤六叠加重合的高度修正值将现在扫描数据和之前扫描数据融合,即可得到精确的障碍物轮廓高度值;同时更新此障碍物轮廓高度值,进行下一次的递归叠加,反复叠加,即可得到精准的车辆前方障碍物轮廓。Step 7. Fusion of old and new scan data: Use the height correction value superimposed and overlapped in step 6 to fuse the current scan data with the previous scan data to obtain an accurate obstacle contour height value; at the same time update the obstacle contour height value, Carry out the next recursive superposition, and repeat the superposition to obtain an accurate outline of the obstacle in front of the vehicle.
本发明提供一种基于递归叠加算法的车辆前方障碍物轮廓检测方法,仅仅使用一台价格低廉的单线激光雷达,测量成本较低,而且本发明所采用的递归叠加扫描匹配算法,考虑了在真实的车辆中应用的全部边界条件,可以不受限制地应用在道路交通中。本发明可以不依赖任何外界模型库等条件的约束而完全独立地高效执行,并可实现实时在线检测处理,克服了目前该领域所存在的诸多问题。The present invention provides a method for detecting the contours of obstacles in front of a vehicle based on a recursive superposition algorithm. Only one low-cost single-line laser radar is used, and the measurement cost is relatively low. All boundary conditions applied in the vehicle can be applied in road traffic without restriction. The invention can be independently and efficiently executed independently of any external model library and other constraints, and can realize real-time online detection and processing, and overcomes many problems existing in this field at present.
附图说明Description of drawings
图1为本发明原理构想图Fig. 1 is the conception diagram of principle of the present invention
图2为本发明流程图Fig. 2 is a flowchart of the present invention
图3为雷达与地面的几何关系计算障碍物轮廓高度Figure 3 calculates the obstacle contour height for the geometric relationship between the radar and the ground
图4为具有等距采样点的移位寄存器Figure 4 is a shift register with equidistant sampling points
图5为每一次扫描各个等距点的障碍物轮廓的准连续估计Figure 5 shows the quasi-continuous estimation of obstacle contours at each equidistant point in each scan
具体实施方式detailed description
以下结合附图详细介绍本发明的技术方案:Describe technical scheme of the present invention in detail below in conjunction with accompanying drawing:
一种基于递归叠加算法的车辆前方障碍物轮廓检测方法,需要将单线激光雷达安装在车辆前部的大灯高度位置,可以从保险杠结束的位置开始测量道路,激光光束会较倾斜地投射在车道上,本发明方法包括以下步骤,如图2所示:A method for detecting the contours of obstacles in front of a vehicle based on a recursive superposition algorithm. The single-line lidar needs to be installed at the height of the headlights at the front of the vehicle, and the road can be measured from the position where the bumper ends. The laser beam will be projected obliquely on the On the lane, the inventive method comprises the following steps, as shown in Figure 2:
步骤一、通过激光雷达与地面的几何关系计算障碍物轮廓高度;Step 1. Calculate the obstacle contour height through the geometric relationship between the lidar and the ground;
利用安装在车辆前部的激光雷达的激光光束计算当前障碍物高度,如图3所示。The current obstacle height is calculated by using the laser beam of the lidar installed in the front of the vehicle, as shown in Figure 3.
激光雷达旋转的同时,激光光束也在测量角度范围内扇状地提供测量点i的距离数值。激光雷达发出的脉冲光束相对于道路的倾角n0的表达式为:其中,nc代表激光雷达在安装位置中的俯仰角偏移,nL代表车体和车轮之间的相对俯仰角,代表当前激光雷达测量光束相对于传感器外壳的角度。While the lidar is rotating, the laser beam also provides the distance value of the measuring point i fan-shaped within the measuring angle range. The expression of the inclination n 0 of the pulse beam emitted by the lidar relative to the road is: Among them, n c represents the pitch angle offset of the lidar in the installation position, n L represents the relative pitch angle between the car body and the wheel, Represents the angle of the current lidar measurement beam relative to the sensor housing.
激光雷达测量角度的范围为0~90°。一次扫描的第一个测量点位于从水平线到道路大约向下转动45°的位置。通过三角函数坐标变换,利用激光雷达的安装高度和激光光束的倾角参数,可以计算出激光雷达到地面的绝对垂直高度z0和测量点在x轴方向上到传感器的距离x0,计算公式如下:The laser radar measurement angle ranges from 0° to 90°. The first measurement point of a scan is at approximately a 45° downward turn from the horizontal to the road. Through trigonometric coordinate transformation, using the installation height of the laser radar and the inclination parameters of the laser beam, the absolute vertical height z 0 from the laser radar to the ground and the distance x 0 from the measuring point to the sensor in the x-axis direction can be calculated. The calculation formula is as follows :
x0=d0*cos(n0)x 0 =d 0 *cos(n 0 )
z0=z-d0*sin(n0)z 0 =zd 0 *sin(n 0 )
激光雷达和车道之间原始的垂直距离z由下式计算:The original vertical distance z between the lidar and the lane is calculated by:
z=zcz+zzd-xs*sin(nL)+ys*sin(wL)z=z cz +z zd -x s *sin(n L )+y s *sin(w L )
则可以推导出障碍物轮廓高度值z0的计算公式如下:Then it can be deduced that the calculation formula of the obstacle contour height value z0 is as follows:
式中,Zcz代表激光雷达在安装位置中的垂直偏移Zcz;Zzd、nL、wL分别代表车体和车轮之间的相对运动振动、颠簸和摇摆;xs和ys分别描述了车辆在纵向位置和横向位置,车辆重心与激光雷达之间的距离;d0代表激光雷达和测量点之间的距离。In the formula, Z cz represents the vertical offset Z cz of the lidar in the installation position; Z zd , n L , w L represent the relative motion vibration, bump and swing between the car body and the wheel; x s and y s respectively Describes the vehicle's longitudinal position and lateral position, the distance between the vehicle's center of gravity and the lidar; d 0 represents the distance between the lidar and the measurement point.
步骤二、过去扫描数据与现在扫描数据的坐标匹配Step 2. Match the coordinates of the past scan data with the current scan data
在车辆实际行驶过程中,车辆肯定会有纵向和横向上的运动,并且车体本身还有相对于道路的相对运动,这个过程中的运动参量可以描述为:车体纵向行驶速度vx、车体和车轮之间的相对运动振动zzd、传感器颠簸nL、传感器摇摆wL。During the actual driving process of the vehicle, the vehicle will definitely have longitudinal and lateral motions, and the vehicle body itself will also move relative to the road. The motion parameters in this process can be described as: the longitudinal speed of the vehicle body v x , the vehicle body Relative motion vibration z zd between body and wheel, sensor bump n L , sensor wobble w L .
假定车辆的行驶状态已知,这样就可以重合两次扫描。假设已知前后两次扫描数据,通过三角函数坐标变换关系把方程式从极坐标表示转换成笛卡尔坐标系表示,具体转化公式如下:Assuming the driving state of the vehicle is known, the two scans can be superimposed. Assuming that the two scan data before and after are known, the equation is converted from the polar coordinate representation to the Cartesian coordinate system representation through the coordinate transformation relationship of the trigonometric function. The specific conversion formula is as follows:
过去扫描数据: Past scan data:
现在扫描数据: Now scan the data:
式中,过去扫描用“past”表示,用下角标“p”注释,代表过去扫描数据中,在x轴方向上某测量点到传感器的距离,代表过去扫描所获得的障碍物轮廓高度值;现在扫描用“now”表示,用下角标“n”注释,代表在现在扫描数据中,x轴方向上某测量点到传感器的距离,代表现在扫描所获得的障碍物轮廓高度值。In the formula, the past scan is represented by "past", and the subscript "p" is used to annotate, Represents the distance from a measurement point to the sensor in the x-axis direction in the past scan data, Represents the height value of the obstacle contour obtained in the past scan; the current scan is represented by "now" and annotated with the subscript "n", Represents the distance from a measurement point to the sensor in the x-axis direction in the current scan data, Represents the obstacle contour height value obtained by scanning now.
步骤三、考虑雷达光束具有正态分布的特点引入概率密度函数Step 3. Considering that the radar beam has a normal distribution, introduce a probability density function
上述步骤二的方程式中,都是将测量点当作是一个点来进行研究的,并且激光雷达测得的每个距离数值都刚好对应一个障碍物轮廓高度值。然而真实的情况是,每个测量点实际都是以光斑的形式分布的,而不是一个点。在一个光斑内,高度数值是以一定概率进行分布的。应用激光雷达光束具有正态分布的特点引入正态分布概率密度函数,测量点的概率密度就可以通过一个连续分布的函数,高斯正态分布函数逼近:In the equation of the above step 2, the measurement point is regarded as a point for research, and each distance value measured by the lidar corresponds to an obstacle contour height value. However, the real situation is that each measurement point is actually distributed in the form of spots, not a point. Within a spot, the height values are distributed with a certain probability. Applying the characteristics of the normal distribution of the laser radar beam to introduce the normal distribution probability density function, the probability density of the measurement point can be approximated by a continuous distribution function, the Gaussian normal distribution function:
在以上方程式中,x是一个连续型随机变量,在模型中可以理解为激光雷达和测量点之间的水平距离,σ是标准偏差(或者方差)。In the above equation, x is a continuous random variable, which can be understood as the horizontal distance between the lidar and the measurement point in the model, and σ is the standard deviation (or variance).
以上步骤所实现的算法都是把测量点的无穷小传播作为基础,这样的假设太过于理想化,并不能真实的描述障碍物的高度轮廓。如果两次扫描具有相同的距离基础,那么回归分析将实现两次扫描的叠加重合。基于这个原因,建立一个图4所示的坐标系,横坐标代表激光雷达光束扫描的测量点到雷达的距离,纵坐标代表障碍物轮廓高度值。在横坐标上引入一个具有等距采样点的移位寄存器(可以理解为算法程序中一个数组),每次扫描的高度值通过一个量化的横坐标值作为输入,这样测量点的扩散问题就得以解决。The algorithms implemented in the above steps are all based on the infinitesimal propagation of the measurement points. Such assumptions are too idealized and cannot truly describe the height profile of obstacles. If the two scans have the same distance basis, then the regression analysis will achieve an overlay of the two scans. For this reason, a coordinate system as shown in Figure 4 is established, the abscissa represents the distance from the measurement point scanned by the lidar beam to the radar, and the ordinate represents the height of the obstacle contour. Introduce a shift register with equidistant sampling points on the abscissa (which can be understood as an array in the algorithm program), and the height value of each scan is input through a quantized abscissa value, so that the diffusion problem of the measurement point can be solved solve.
具有等距采样点的移位寄存器具有以下优点:基本地考虑了测量点的平面分布;多次扫描的匹配具有一个共同的距离基础。The shift register with equidistant sampling points has the following advantages: the planar distribution of the measuring points is basically considered; the matching of multiple scans has a common distance basis.
图4中展示的就是一次扫描中测量点的移位寄存器应用范例。在移位寄存器中的某一个横坐标值对应了一个离散的高度值,由于在真实情况中测量点是以光斑形式展现的,在这个光斑范围内,离散测量值可能会以某个统计学概率出现,所以就可以给定测量值在测量点分布范围内出现的概率密度。Figure 4 shows an example of a shift register application for measuring points in a scan. A certain abscissa value in the shift register corresponds to a discrete height value. Since the measurement point is displayed in the form of a light spot in the real situation, within the range of the light spot, the discrete measurement value may have a certain statistical probability Appearance, so the probability density of the occurrence of the measured value within the distribution range of the measurement points can be given.
引入移位寄存器之后,通过激光雷达扫描点到激光雷达安装位置的距离这一参数,即可以分别求出这个参数所对应的障碍物轮廓高度值和概率密度。After introducing the shift register, through the parameter of the distance from the laser radar scanning point to the laser radar installation position, the obstacle contour height value and probability density corresponding to this parameter can be calculated respectively.
在移位寄存器中,每隔距离为Δx1的等距采样点进行横坐标的分割,相当于把激光雷达扫描点到雷达安装位置之间的距离进行了栅格化处理。由图4可以清晰的得出:In the shift register, every equidistant sampling point with a distance of Δx 1 is divided on the abscissa, which is equivalent to rasterizing the distance between the lidar scanning point and the radar installation position. It can be clearly concluded from Figure 4 that:
移位寄存器的横坐标涵盖了激光雷达信号的整个测量范围,根据栅格宽度和最大扫描距离范围,可以得出一个带有m+1个离散等距采样点的移位寄存器。举例,假如测量范围为0-20m,栅格宽度为10cm,那么移位寄存器具有的采样点数量就为m+1=201。在寄存器中,每个测量点的高度值以及概率密度分布都通过横坐标值x输入。表格1显示的是结果:The abscissa of the shift register covers the entire measurement range of the lidar signal. According to the grid width and the maximum scanning distance range, a shift register with m+1 discrete equidistant sampling points can be obtained. For example, if the measurement range is 0-20m and the grid width is 10cm, then the number of sampling points in the shift register is m+1=201. In the register, the height value and the probability density distribution of each measuring point are entered via the abscissa value x. Table 1 shows the results:
表格1用于保存扫描数据的带有等距采样点的寄存器Table 1 Registers with equidistant sampling points for saving scan data
假设一组扫描有k个测量点,则不同的测量光斑在各个采样点0...m的概率密度为:Assuming that a set of scans has k measurement points, the probability density of different measurement spots at each sampling point 0...m is:
该概率密度函数可以表征出光斑内所测得的障碍物高度的准确程度,概率密度峰值越大,概率分布越集中,测量的准确性就越高。通过该概率密度函数可以对测量数据进行连续化处理,得到更密集的障碍物轮廓高度曲线。The probability density function can characterize the accuracy of the obstacle height measured in the light spot. The larger the probability density peak value is, the more concentrated the probability distribution is, and the higher the measurement accuracy is. Through the probability density function, the measurement data can be continuously processed to obtain a denser obstacle contour height curve.
步骤四、实现障碍物轮廓的准连续估计Step 4. Realize quasi-continuous estimation of obstacle contours
每次新扫描产生时,将得到k个高度值,它们在距离上是以离散的形式表示的。但是实际情况中,移位寄存器每个概率不为零的位置上都会存在一个对应的高度值。假设现在扫描是由k个测量点构成,那么高度值的当前估计值就可以通过移位寄存器中的m+1个离散栅格点,然后根据概率密度矩阵的乘积和k个高度值的向量计算(把一次扫描的n个概率密度函数总和作为统一的标准):Each time a new scan is generated, k height values will be obtained, which are expressed in a discrete form in terms of distance. However, in actual situations, there will be a corresponding height value at each position of the shift register where the probability is not zero. Assuming that the current scan is composed of k measurement points, the current estimated value of the height value can be calculated by m+1 discrete grid points in the shift register, and then calculated according to the product of the probability density matrix and the vector of k height values (The sum of n probability density functions of one scan is used as a unified standard):
在第1个采样点的概率密度值为ξ0,1、ξ0,2…ξ0,3,对应高度值的估计值就可以标准化处理进行计算:The probability density values at the first sampling point are ξ 0,1 , ξ 0,2 ... ξ 0,3 , and the estimated value of the corresponding height value can be calculated by standardization:
其中,扫描数据的加权总和为: Among them, the weighted sum of the scanned data is:
第2、3…个采样点的概率密度值和对应高度值的准连续估计也可以通过标准化处理得到。The probability density values of the 2nd, 3rd... sampling points and the quasi-continuous estimation of the corresponding height values can also be obtained through standardization.
在第m个采样点的概率密度值为ξm,1、ξm,2…ξm,k,对应高度值的估计值就可以标准化处理进行计算: The probability density value of the mth sampling point is ξ m,1 , ξ m,2 ...ξ m,k , and the estimated value of the corresponding height value can be calculated by standardization:
其中,扫描数据的加权总和为: Among them, the weighted sum of the scanned data is:
根据以上算法可以得到每一次扫描各个等距点的障碍物轮廓的准连续估计。According to the above algorithm, the quasi-continuous estimation of the obstacle contour of each equidistant point in each scan can be obtained.
步骤五、通过过去扫描数据与现在扫描数据不断递归叠加的方式求得准确的障碍物轮廓高度Step 5. Accurate obstacle contour height is obtained by continuously recursively superimposing the past scan data and the current scan data
通过算法的递归调用来使用所有扫描的数据,包括现在扫描和过去扫描的数据,可以大大提高障碍物的信号质量。在每次扫描时递归调用过去扫描与现在扫描的扫描匹配算法,就可以实现这个目标。递归叠加算法可简单的用以下公式简述:Using all scanned data, including current scan and past scan data, through recursive calls of the algorithm can greatly improve the signal quality of obstacles. This goal can be achieved by recursively calling the scan matching algorithm between the past scan and the current scan at each scan. The recursive superposition algorithm can be simply described by the following formula:
现在扫描的递归调用: Now scan the recursive call:
过去扫描的递归调用: Recursive calls for past scans:
式中,代表现在扫描数据中高度值的计算值,代表第一个采样点在现在扫描数据中的概率密度函数总和;代表过去扫描数据中高度值的计算值,代表过去扫描数据中第一个采样点的概率密度函数总和;代表现在扫描数据中在x轴方向上测量点到传感器的距离,代表过去扫描数据中在x轴方向上测量点到传感器的距离。In the formula, Represents the calculated value of the height value in the current scan data, Represents the sum of the probability density functions of the first sampling point in the current scan data; represents the computed value of the height value from the past scan data, Represents the sum of the probability density functions of the first sampling point in the past scan data; Represents the distance from the measurement point to the sensor in the x-axis direction in the current scan data, Represents the distance from the measurement point to the sensor in the x-axis direction in the past scan data.
递归调用算法函数f即所述步骤七中新旧扫描数据的融合过程。Recursively calling the algorithm function f is the fusion process of the old and new scan data in the step seven.
步骤六、通过回归计算高度值偏差和俯仰角偏差Step 6. Calculate the height value deviation and pitch angle deviation by regression
在递归叠加算法中,也不得不考虑相关因素的计算。通过回归法将现在新扫描和过去旧扫描叠加重合时,必须考虑到道路轮廓高度值的误差。移位寄存器中的高度偏移或者高度误差可以表示为:In the recursive superposition algorithm, the calculation of relevant factors also has to be considered. When the current new scan and the past old scan are overlaid by the regression method, the error of the road contour height value must be taken into account. The height offset or height error in the shift register can be expressed as:
式中,代表过去扫描的障碍物轮廓高度值;代表现在扫描的障碍物轮廓高度值;代表移位寄存器中的高度偏移或者高度误差。In the formula, Represents the height value of the obstacle contour scanned in the past; Represents the currently scanned obstacle contour height value; Represents the height offset or height error in the shift register.
要想通过线性回归对新扫描和旧扫描进行叠加重合,就必须确定要以多大的权重考虑移位寄存器中各个横坐标值所对应的障碍物轮廓高度值误差。简单来说,仅在现在扫描以及过去扫描的具有高标准化概率密度的位置上,才需要考虑高度值的误差。因此,在两次扫描的概率密度分布最小交集范围内才考虑回归分析,因为只有两次扫描的重叠部分才具有相关性。鉴于这种考虑,引入了相关性系数R,可以从概括性的概率密度函数的最小化标准中计算相关性R,具体计算公式如下:In order to superimpose the new scan and the old scan through linear regression, it is necessary to determine how much weight to consider the obstacle contour height value error corresponding to each abscissa value in the shift register. In simple terms, errors in height values need to be considered only at locations with high normalized probability densities from current scans and past scans. Therefore, the regression analysis was considered within the minimum intersection of the probability density distributions of the two scans, since only the overlap of the two scans is relevant. In view of this consideration, the correlation coefficient R is introduced, and the correlation R can be calculated from the minimization standard of the generalized probability density function. The specific calculation formula is as follows:
式中,分别代表现在扫描数据和过去扫描数据中概率密度函数和。In the formula, Represent the probability density function sum of the current scan data and the past scan data, respectively.
在递归叠加算法中又增加了一个参量:相关性系数R,这也表明,在确定现在扫描和过去扫描的障碍物轮廓高度值偏差和俯仰角偏差的时候,也考虑了激光测量点的光斑平面分布,以及随之出现的测量点对应的高度值概率密度分布等因素。在现在扫描数据和过去扫描数据之间,可以得出以下新的关系:In the recursive superposition algorithm, another parameter is added: the correlation coefficient R, which also shows that the spot plane of the laser measurement point is also considered when determining the deviation of the obstacle contour height value and pitch angle deviation between the current scan and the past scan distribution, as well as factors such as the probability density distribution of height values corresponding to the corresponding measurement points. Between the current scan data and the past scan data, the following new relationship can be derived:
式中,R代表相关性系数;代表在具有等距采样点的移位寄存器中测量点与激光雷达X轴方向上的距离;Δn、Δz分别代表新旧扫描数据之间的俯仰角偏差和高度值偏差;In the formula, R represents the correlation coefficient; Represents the distance between the measurement point and the X-axis direction of the lidar in the shift register with equidistant sampling points; Δn and Δz represent the pitch angle deviation and height value deviation between the old and new scan data, respectively;
这个方程式是一个超定方程组,类似于Ax=b。上述方程可以通过线性回归进行解答。构建矩阵A的广义逆矩阵A+:This equation is an overdetermined system of equations, similar to Ax=b. The above equation can be solved by linear regression. Construct the generalized inverse matrix A+ of matrix A:
根据上式可以求出多组障碍物轮廓高度值偏差和俯仰角偏差Δn,采用最小二乘法可以确定高度值偏差最佳值Δz以及俯仰角偏差最佳值Δn,此时可以计算新扫描数据的高度修正值:According to the above formula, the height value deviation and pitch angle deviation Δn of multiple groups of obstacle contours can be obtained, and the optimal value of the height value deviation Δz and the optimal value of the pitch angle deviation Δn can be determined by using the least square method. At this time, the new scan data can be calculated Altitude correction value:
z0,cy,xz=z0,cy,n+Δn*x0,cy+Δzz 0,cy,xz =z 0,cy,n +Δn*x 0,cy +Δz
式中,新旧扫描进行叠加,z0,cy,xz代表新扫描数据的高度修正值。In the formula, the new and old scans are superimposed, and z 0, cy, xz represent the height correction values of the new scan data.
步骤七、新旧扫描数据的融合Step 7. Fusion of old and new scan data
通过以上步骤的实现,此时可以利用之前递归叠加重合所得的修正将现在扫描的数据和过去扫描的数据融合。将新扫描的数据添加到过去扫描的已保存的数据中后,所有之前扫描的概括性概率密度将增加新扫描的概率密度:Through the implementation of the above steps, at this time, the current scanned data and the past scanned data can be fused by using the correction obtained from the previous recursive superimposition and superposition. After adding the new scan's data to the saved data from past scans, the generalized probability densities of all previous scans are increased by the new scan's probability density:
∑ξ0,sum=∑ξ0,n+∑ξ0,p ∑ξ 0,sum = ∑ξ 0,n + ∑ξ 0,p
式中,∑ξ0,sum代表第一个采样点所包含的所有扫描的概括性概率密度;∑ξ0,p代表过去扫描数据的概括性概率密度总和;∑ξ0,n代表现在扫描数据的概括性概率密度总和。In the formula, ∑ξ 0,sum represents the general probability density of all scans included in the first sampling point; ∑ξ 0,p represents the sum of generalized probability densities of past scanning data; ∑ξ 0,n represents the current scanning data The sum of the generalized probability densities for .
在考虑了新的概率密度的前提下,可以计算出道路轮廓的更新后的平均高度值:Taking into account the new probability density, the updated mean height value of the road profile can be calculated:
这个平均高度值z0,cy,sum就是最终得到的准确的障碍物轮廓高度值,用z0,cy,sum代替本次扫描的障碍物轮廓高度值,然后再进行现在扫描与新一轮扫描的递归叠加,计算下次扫描的高度值,反复递归叠加,即可得到精准的车辆前方障碍物轮廓。This average height value z 0, cy, sum is the final accurate obstacle contour height value, use z 0, cy, sum to replace the obstacle contour height value of this scan, and then perform the current scan and a new round of scan The recursive superposition, calculate the height value of the next scan, repeat the recursive superposition, you can get the accurate outline of the obstacle in front of the vehicle.
本发明具有以下优点:The present invention has the following advantages:
新的递归叠加障碍物轮廓信息处理算法考虑了在真实的车辆中应用的全部边界条件,可以不受限制地应用在道路交通中。The new recursive superimposed obstacle contour information processing algorithm considers all boundary conditions applied in real vehicles, and can be applied in road traffic without restriction.
单次扫描的信息过于不完整和不准确。本算法充分利用连续的扫描中有部分范围是重叠的这一事实,在一定程度将扫描“叠加”并提高信息密度。The information for a single scan is too incomplete and inaccurate. This algorithm makes full use of the fact that some ranges overlap in continuous scans, and to a certain extent "overlaps" the scans and increases the information density.
通过概率密度函数以及准连续估计的引入,递归叠加算法可以使雷达扫描数据“无限逼近”真实值。Through the introduction of probability density function and quasi-continuous estimation, the recursive superposition algorithm can make the radar scanning data "infinitely approach" the true value.
为了使本领域技术人员更好地理解本发明,下面以MATLAB的算法仿真流程对本发明作进一步范例说明。In order to enable those skilled in the art to better understand the present invention, the present invention will be further exemplified below with the algorithm simulation flow of MATLAB.
基于MATLAB本身具有强大的数组运算能力,为了检验算法的可靠性,可以利用MATLAB搭建本课题研究的算法,进行可靠性分析。以下是搭建成型的算法,假设分别得到激光雷达两次扫描的两组数据。首先,将数据进行坐标轴变换并实现等距移位寄存器的功能,之后利用interpl函数实现两次扫描的匹配;接下来,用polyfit和polyval函数将新扫描得到的数据进行拟合得到新的回归之后的新扫描数据,以此实现算法中概率密度函数的标准化;然后,得出相关性系数R、包含相关系数的矩阵A,以此求得x,计算出高度值偏差和俯仰角偏差。最后将数据融合求出修正过的新的高度值,完成该算法的实现。Based on the powerful array computing capability of MATLAB itself, in order to test the reliability of the algorithm, MATLAB can be used to build the algorithm studied in this topic for reliability analysis. The following is the algorithm for building and forming, assuming that two sets of data from the two scans of the lidar are obtained respectively. Firstly, transform the data to coordinate axes and realize the function of the equidistant shift register, then use the interpl function to realize the matching of the two scans; next, use the polyfit and polyval functions to fit the data obtained from the new scan to obtain a new regression Afterwards, the new scanning data is used to realize the standardization of the probability density function in the algorithm; then, the correlation coefficient R and the matrix A containing the correlation coefficient are obtained to obtain x, and the height value deviation and pitch angle deviation are calculated. Finally, the data fusion is used to obtain the corrected new height value, and the realization of the algorithm is completed.
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