CN112731357A - Real-time correction method and system for positioning error of laser point cloud odometer - Google Patents

Real-time correction method and system for positioning error of laser point cloud odometer Download PDF

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CN112731357A
CN112731357A CN202011609084.0A CN202011609084A CN112731357A CN 112731357 A CN112731357 A CN 112731357A CN 202011609084 A CN202011609084 A CN 202011609084A CN 112731357 A CN112731357 A CN 112731357A
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point cloud
laser point
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cloud data
laser
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江昆
杨殿阁
杨蒙蒙
张晓龙
王云龙
于伟光
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Tsinghua University
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    • 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
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Abstract

The invention relates to a real-time correction method and a real-time correction system for positioning errors of a laser point cloud odometer, which are characterized by comprising the following steps of: 1) extracting road surface point clouds from historical laser point cloud data collected by an intelligent networked vehicle equipped with a laser radar, calculating to obtain model parameters, and constructing an empirical model; 2) and correcting the real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting an empirical model to obtain the laser point cloud data with the error eliminated. The method adopts the correction model to correct the accumulated positioning error of the laser point cloud odometer, can provide more accurate self-parking position estimation, can correct the error of the laser point cloud odometer on line, and can be widely applied to the field of intelligent networked automobile environment sensing.

Description

Real-time correction method and system for positioning error of laser point cloud odometer
Technical Field
The invention relates to a real-time correction method and a real-time correction system for positioning errors of a laser point cloud odometer of a road vehicle, and belongs to the field of intelligent networked automobile environment sensing.
Background
The intelligent networked automobile needs to accurately sense the surrounding environment and the state of the intelligent networked automobile so as to support subsequent decision and control. And accurate estimation of the self pose is the basis for the functions of track planning, control and the like of the intelligent network connection vehicle. And the passive pose estimation based on the GPS is limited by satellite signals, so that the whole running working condition of high-level automatic driving is difficult to support. The laser radar can directly measure the distance information of the surrounding environment, and has accurate measurement precision and a longer measurement range. Therefore, the laser radar point cloud-based mileage estimation is widely used in the positioning system of the intelligent networked automobile.
However, the position and pose estimation based on the odometer has accumulated errors, namely the track can drift after long-time work, so that the application of the method to the field of intelligent networked automobiles has certain limitation. On the other hand, as the vehicle runs on the road surface, the collected laser radar point cloud is not uniformly distributed in the direction vertical to the road surface, and the drift in the direction vertical to the running road is mostly presented on the basis of the mileage estimation of the laser radar point cloud.
For this problem, there are two main solutions in the existing research: 1. the track is corrected at intervals by detecting a driving closed loop and introducing absolute positioning information such as a GPS (global positioning system) and the like, but the method cannot obtain accurate pose estimation in real time and depends on the input of an external information source; 2. the method comprises the steps of collecting and estimating track drift for multiple times, training a calibration function, and uniformly correcting a track which is driven before after a period of driving, wherein similarly, the method cannot estimate the self-vehicle positioning information in real time. Therefore, the existing method cannot correct the positioning error of the laser point cloud odometer in real time.
Disclosure of Invention
Aiming at the problems, the invention aims to provide a real-time correction method and a real-time correction system for positioning errors of a laser point cloud odometer, which are mainly used for eliminating reverse track drift perpendicular to a road surface almost in an application scene of an intelligent networked automobile.
In order to achieve the purpose, the invention adopts the following technical scheme:
the invention provides a real-time correction method for positioning errors of a laser point cloud odometer, which comprises the following steps:
1) extracting road surface point clouds from historical laser point cloud data collected by an intelligent networked vehicle equipped with a laser radar, constructing an empirical model, and calculating to obtain model parameters;
2) and correcting real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting the established empirical model and model parameters to obtain the laser point cloud data with the error eliminated.
Further, in the step 1), extracting road surface point cloud from historical laser point cloud data collected by an intelligent networked vehicle equipped with a laser radar, constructing an empirical model, and calculating to obtain model parameters, the method comprises the following steps:
1.1) analyzing the distortion rule of historical laser point cloud data, and constructing an empirical model s according to the analysis result;
1.2) extracting a multi-frame pavement laser point cloud fitting spherical surface from historical laser point cloud data, and averaging the spherical radius of the fitting spherical surface to obtain model parameters of the empirical model
Figure BDA0002874198640000021
Further, in the step 1.1), the empirical model s is:
Figure BDA0002874198640000022
in the formula (I), the compound is shown in the specification,
Figure BDA0002874198640000023
the parameters of the empirical model are approximately equal to the curvature radius of the plane point cloud distortion at the position where | z | ═ 1; d2=x2+y2And x, y and z are coordinates in a laser radar coordinate system.
Further, in the step 1.2), extracting a multi-frame pavement laser point cloud fitting spherical surface from the laser point cloud data, averaging the spherical radius of the fitting spherical surface, and calculating to obtain an empirical modeModel parameters of model
Figure BDA0002874198640000024
The method comprises the following steps:
1.2.1) randomly extracting m frames of laser point clouds from the collected laser point cloud data;
1.2.2) extracting points { X) belonging to the road surface by using a plane random sampling consistency method for each frame of laser point cloud1,X2,...,XmJudging whether coordinate conversion is needed or not according to the difference between the z axis of the original coordinate system of the laser radar and the vertical direction of the ground, and entering step 1.2.3 when the coordinate conversion is needed, or entering step 1.2.5);
1.2.3) normalized Normal vector n from road surface1,n2,...,nmCalculating an average normal vector
Figure BDA0002874198640000025
And according to the obtained average normal vector
Figure BDA0002874198640000026
Calculating to obtain a conversion matrix T, carrying out coordinate conversion on the collected laser point cloud data, and entering the step 1.2.4);
1.2.4) pairs of points { X) of the sets of road surfaces extracted in step 1.2.2) using a rotation matrix T1,X2,...,XmCoordinate conversion is carried out to obtain the average z value of each group of points
Figure BDA0002874198640000027
And fitting a sphere on each group of points based on the average z value of each group of points to obtain the radius of the sphere of each group of points
Figure BDA0002874198640000028
1.2.5) points { X) of the respective sets of road surfaces extracted according to step 1.2.2)1,X2,...,XmObtaining the average value of each group of points, and fitting a curved surface on each group of points to obtain the spherical radius of each group of points;
1.2.6) spherical radius of each set of points obtained according to step 1.2.4) or 1.2.5)
Figure BDA0002874198640000029
Calculating to obtain model parameters
Figure BDA00028741986400000210
Further, in the step 1.2.2), the method for determining whether the coordinate conversion is required according to the difference between the z-axis of the original coordinate system of the laser radar and the vertical direction of the ground includes the following steps: judging the included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground, if the included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground is larger than a preset threshold value, carrying out coordinate conversion, otherwise, carrying out coordinate conversion.
Further, in the step 1.2.3), according to the normalized normal vector { n) of the road surface1,n2,...,nmCalculating an average normal vector
Figure BDA0002874198640000031
And according to the obtained average normal vector
Figure BDA0002874198640000032
The method for obtaining the transformation matrix T by calculation comprises the following steps:
first, based on the average normal vector
Figure BDA0002874198640000033
Obtaining a conversion formula:
Figure BDA0002874198640000034
wherein v is a rotation axis and θ is a rotation angle;
then, a rotation quaternion q is constructed according to the above conversion equation:
Figure BDA0002874198640000035
in the formula, q0、q1、q2、q3Four components of a quaternion, q0Real part called quaternion, q1,q2,q3An imaginary part called a quaternion;
and finally, converting the rotation quaternion into a rotation matrix T to obtain:
Figure BDA0002874198640000036
further, in the step 1.2.6), model parameters
Figure BDA0002874198640000037
The calculation formula of (2) is as follows:
Figure BDA0002874198640000038
Figure BDA0002874198640000039
Figure BDA00028741986400000310
in the formula (Q)1,Q3) Respectively the upper and lower quartiles in all spherical radii.
Further, in the step 2), the method for real-time correcting the real-time laser point cloud data collected by the intelligent networked vehicle by using the established empirical model and the model parameters comprises the following steps:
2.1) judging an included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground, if the included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground is greater than a preset threshold value, entering a step 2.2), and if not, entering a step 2.4);
2.2) carrying out coordinate conversion on the original laser point cloud data to ensure that the included angle between the laser radar z-axis of the converted intelligent networked vehicle and the vertical direction of the ground is smaller than a preset threshold value, and entering the step 2.3);
2.3) real-time correction is carried out on real-time laser point cloud data collected by the intelligent networked vehicle by adopting the established empirical model, and coordinate inverse transformation is carried out on the point cloud data after the real-time correction so as to transform the point cloud data back to an original coordinate system, thus obtaining the laser point cloud data after the error elimination;
the calculation formula for real-time correction is as follows:
z′=z·s
in the formula, z' is a corrected laser point cloud z coordinate;
and 2.4) correcting the real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting the established empirical model to obtain the laser point cloud data with the error eliminated.
In a second aspect of the present invention, a real-time correction system for positioning errors of a laser point cloud odometer is provided, which includes: the system comprises an empirical model building module, a data acquisition module and a data processing module, wherein the empirical model building module is used for extracting road surface point clouds from historical laser point cloud data acquired by an intelligent networked vehicle equipped with a laser radar, building an empirical model and calculating to obtain model parameters; and the error correction module is used for correcting the real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting the established empirical model and the model parameters to obtain the laser point cloud data with the error eliminated.
Further, the empirical model building module comprises: the model building module is used for analyzing the distortion rule of the laser point cloud data and building an experience model s according to the analysis result; a model parameter calculation module for extracting multi-frame pavement laser point cloud fitting sphere from the historical laser point cloud data, and averaging the spherical radius of the fitting sphere to obtain model parameters of the empirical model
Figure BDA0002874198640000041
Due to the adoption of the technical scheme, the invention has the following advantages: 1. the invention adopts the correction model to correct the accumulated positioning error of the laser point cloud odometer, and can provide more accurate self-parking position estimation; 2. compared with methods such as closed loop and post-processing, the method can correct the error of the laser point cloud odometer on line; 3. the invention is suitable for various mechanical laser radars, and the algorithm is decoupled from hardware; 4. the method provided by the invention only needs to preprocess the input point cloud, has small calculation amount and cannot influence the real-time performance of the odometer. Therefore, the method can be widely applied to the field of intelligent networked automobile environment perception.
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FIG. 1 is an example of distortion of a laser point cloud measurement;
FIG. 2 is a schematic view of a point cloud distortion processing flow of the present invention;
fig. 3 is a schematic diagram of a particular embodiment of the present invention.
Detailed Description
The invention is described in detail below with reference to the figures and examples. It is to be understood, however, that the drawings are provided solely for the purposes of promoting an understanding of the invention and that they are not to be construed as limiting the invention.
Because the laser radar adopts the ranging based on TOF (time of flight), and the ranging precision is influenced by a plurality of influences such as incident angle, external illumination, air humidity and the like, the measurement result of the same laser radar under the similar scene often shows a transverse deviation error, the returned point cloud is distorted, and the characteristic matching among the multi-frame point cloud is influenced, so that the odometer based on the laser point cloud has constant drift.
As shown in FIG. 1, the road surface point cloud measured by the Velodyne-64E laser radar is shown, and the gray scale of the measuring point in the map reflects the height (unit: meter) of the measuring point on a horizontal plane. The road surface which is supposed to be horizontal (the road surface is estimated to be approximately horizontal through the running track of the vehicle measured by the differential GPS), and the measurement result shows obvious arc-shaped bending.
As shown in fig. 2, based on the above analysis, the present invention provides a real-time correction method for positioning error of a laser point cloud odometer, comprising the following steps:
1) according to historical laser point cloud data collected by an intelligent networked vehicle equipped with a laser radar, extracting road surface point cloud, constructing an empirical model, and calculating to obtain model parameters.
2) And performing real-time distortion elimination on the real-time laser point cloud data acquired by the intelligent networked vehicle by adopting the established empirical model to obtain the laser point cloud data after error elimination.
In the step 1), the method for constructing the empirical model includes the following steps:
1.1) analyzing the distortion rule of the existing laser point cloud data, and constructing an empirical model s according to the analysis result.
Because the laser point cloud ranging error is complex in reason, the invention discovers that the measured point cloud distortion has a fixed rule by observing the deformation condition of multi-frame point clouds in a driving environment: 1. bending the points on the same horizontal plane into curved surfaces with the same radius; 2. to a certain extent, the farther the lidar is from the horizontal plane, the larger the radius of curvature of the bend.
Based on these two results, the present invention constructs an empirical model s:
Figure BDA0002874198640000051
in the formula (I), the compound is shown in the specification,
Figure BDA0002874198640000052
Figure BDA0002874198640000053
is a parameter of the empirical model, which is approximately equal to the curvature radius of the plane point cloud distortion at | z | ═ 1; d2=x2+y2And x, y and z are coordinates in a laser radar coordinate system.
To improve the calculation efficiency, the above formula (1) can be simplified as follows:
Figure BDA0002874198640000054
further reducing the formula (2) to:
Figure BDA0002874198640000055
due to the selection of parameters
Figure BDA0002874198640000056
Thus, it is possible to provide
Figure BDA0002874198640000057
Tends to be zero, pair
Figure BDA0002874198640000058
Performing a first order Taylor expansion can simplify equation (3) to:
Figure BDA0002874198640000059
Figure BDA00028741986400000510
1.2) extracting a multi-frame pavement laser point cloud fitting spherical surface from the existing laser point cloud data, averaging the spherical radius of the fitting spherical surface, and calculating to obtain model parameters of the empirical model
Figure BDA00028741986400000511
After the empirical model s is determined, model parameters are reasonably selected
Figure BDA0002874198640000061
As has been said in the foregoing, the present invention,
Figure BDA0002874198640000062
the value is approximately equal to | z | -1 radius of curvature of the plane point cloud distortion. The invention collects the data because it is practically almost impossible to find a plane that is level and comparable to the range of the lidarMulti-frame road surface point cloud fitting spherical surface and averaging method for calculating parameters
Figure BDA0002874198640000063
The specific implementation method is as follows. It should be noted that the following model parameters
Figure BDA0002874198640000064
The calculation result of (2) does not necessarily lead the correction result to be optimal, and the model parameters can be manually compared with the actual driving track according to the estimation result of the laser point cloud odometer
Figure BDA0002874198640000065
Fine tuning is performed.
Specifically, the method comprises the following steps:
1.2.1) randomly extracting m frames of laser point clouds from the collected laser point cloud data, and generally selecting about 50 frames of point clouds.
When the laser point cloud data is obtained, the intelligent networked vehicle equipped with the laser radar is driven on a road in a preset range to form a closed loop, and the road surface is required to be as flat as possible. Specifically, a part of scenes in which the vehicle travels to calibrate the parameters may be selected in an actual application scene. In actual operation, the calibration result can be determined according to the calibration result, and the calibration can be stopped when the calibration result is not changed greatly or the calibration result is considered to meet the requirement.
1.2.2) extracting points { X) belonging to the road surface by using a plane random sampling consistency (RANSAC) method for each frame of laser point cloud1,X2,...,XmAnd when coordinate conversion is needed, entering step 1.2.3), otherwise, entering step 1.2.5).
Before the fitting of the spherical surface, if the difference between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground is large, the difference mainly refers to the condition that the laser radar is specially obliquely installed on the roof, if the laser radar is approximately horizontally installed on the roof, errors caused by installation can be disregarded, coordinate conversion can be firstly carried out on the laser point cloud so that the directions of the laser point cloud and the laser point cloud are approximately coincident, namely the z axis of the laser radar is approximately vertical to the road surface.
1.2.3) normalized Normal vector n from road surface1,n2,...,nmCalculating an average normal vector
Figure BDA0002874198640000066
And according to the obtained average normal vector
Figure BDA0002874198640000067
And (5) calculating to obtain a conversion matrix T for carrying out coordinate conversion on the acquired laser point cloud data, and entering the step 1.2.4).
As mentioned above, the lidar z-axis is required to be as perpendicular as possible to the ground, and therefore can be based on an average normal vector
Figure BDA00028741986400000610
The collected laser point cloud is subjected to coordinate conversion to meet the condition, and the conversion formula is as follows:
Figure BDA0002874198640000068
where v is the rotation axis and θ is the rotation angle.
And constructing a rotation quaternion q according to the conversion formula:
Figure BDA0002874198640000069
in the formula, q0、q1、q2、q3Four components of a quaternion, q0Real part called quaternion, q1,q2,q3Referred to as the imaginary part of the quaternion.
Converting the rotation quaternion into a rotation matrix T to obtain:
Figure BDA0002874198640000071
1.2.4) pairs of points { X) of the sets of road surfaces extracted in step 1.2.2) using a rotation matrix T1,X2,...,XmCoordinate conversion is carried out to obtain the average z value of each group of points
Figure BDA0002874198640000072
And fitting a sphere on each group of points based on the average z value of each group of points to obtain the radius of the sphere of each group of points
Figure BDA0002874198640000073
It should be noted here that the bending direction is not fixed because the deformation of the laser point cloud measurement result is influenced by many factors, so that here
Figure BDA0002874198640000074
Is a signed radius. In order to keep the unity with the following, the circle center of the road surface fitting spherical surface is specified to be positive below the road surface, and the circle center is negative.
1.2.5) points { X) of the respective sets of road surfaces extracted according to step 1.2.2)1,X2,...,XmAnd solving the average value of each group of points, and fitting a curved surface at each group of points to obtain the spherical radius of each group of points.
1.2.6) calculating to obtain model parameters according to the spherical radius of each group of points obtained in the step 1.2.4) or the step 1.2.5)
Figure BDA0002874198640000075
For determining model parameters
Figure BDA0002874198640000076
The invention calculates by the above-mentioned multigroup result. Because the running road surface condition of the vehicle is complex, the radius distribution is often more discrete, more interference exists, and the invention uses the upper and lower quartiles (Q) in all spherical radii1,Q3) These effects are attenuated as a threshold method. In addition, the radius of the fitting spherical surface is generally larger, and positive and negative large jumps are possibly caused, so the calculation is carried out through the curvatureParameter(s)
Figure BDA0002874198640000077
The calculation formula is as follows:
Figure BDA0002874198640000078
Figure BDA0002874198640000079
Figure BDA00028741986400000710
in the step 2), all the points acquired by the laser radar are processed according to the determined empirical model and the model parameters, so that distortion elimination can be realized. Specifically, the method comprises the following steps:
2.1) judging an included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground, if the included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground is greater than a preset threshold value, entering a step 2.2), and if not, entering a step 2.4);
2.2) carrying out coordinate conversion on the original laser point cloud data to ensure that the included angle between the laser radar z-axis of the converted intelligent networked vehicle and the vertical direction of the ground is smaller than a preset threshold value, and entering the step 2.3);
2.3) real-time correction is carried out on real-time laser point cloud data collected by the intelligent networked vehicle by adopting the established empirical model, and coordinate inverse transformation is carried out on the point cloud data after the real-time correction so as to transform the point cloud data back to an original coordinate system, thus obtaining the laser point cloud data after the error elimination;
the calculation formula for real-time correction is as follows:
z′=z·s (11)
in the formula, z' is a corrected laser point cloud z coordinate;
and 2.4) correcting the real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting the established empirical model to obtain the laser point cloud data with the error eliminated.
The invention also provides a real-time correction system for the positioning error of the laser point cloud odometer, which comprises the following steps: the system comprises an empirical model building module, a data acquisition module and a data processing module, wherein the empirical model building module is used for extracting road surface point clouds from historical laser point cloud data acquired by an intelligent networked vehicle equipped with a laser radar, building an empirical model and calculating to obtain model parameters; and the error correction module is used for correcting the real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting the established empirical model and the model parameters to obtain the laser point cloud data with the error eliminated.
Further, the empirical model building module comprises: the model building module is used for analyzing the distortion rule of the laser point cloud data and building an experience model s according to the analysis result; a model parameter calculation module for extracting multi-frame pavement laser point cloud fitting sphere from the historical laser point cloud data, and averaging the spherical radius of the fitting sphere to obtain model parameters of the empirical model
Figure BDA0002874198640000081
Examples
In one example, the present invention uses a point cloud of the K TTI-odometric data set, which is collected by the velodyne-64E lidar, and has completed motion compensation. Firstly, randomly selecting 50 frames of point clouds belonging to a road surface point { X1,X2,...,X50And according to the fitted spherical radius
Figure BDA0002874198640000082
And the average z value of each set of points
Figure BDA0002874198640000083
Calculating parameters
Figure BDA0002874198640000084
In the example, 50 frames are uniformly extracted from the data set sequence 00 to obtain model parameters
Figure BDA0002874198640000085
The coordinate conversion step in equations (6) to (8) can be omitted because of its vertical horizontal plane placement of the lidar. Then, the model parameters are selected and the method is applied to process all the input laser point clouds. The processed laser point cloud can be subjected to mileage calculation by adopting various methods. In this example, a planar point is extracted from the k frame point cloud according to the curvature of each point
Figure BDA0002874198640000086
And corner point
Figure BDA0002874198640000087
Then based on an Iterative Closest Point (ICP) algorithm and
Figure BDA0002874198640000088
and
Figure BDA0002874198640000089
matching is carried out, and further the pose transformation between the kth frame and the (k-1) th frame is calculated
Figure BDA00028741986400000810
The overall flow of this example is shown in fig. 3.
Parameters selected in this example
Figure BDA00028741986400000811
The application has better effect in all sequences in the data set, because all data are collected by the same laser radar in similar scenes in the example. It should be noted that different parameters need to be selected when different lidar is used or when scene changes are large
Figure BDA00028741986400000812
The method can well correct the positioning error of the conventional laser point cloud odometer by testing various laser radars and operating environments through a real vehicle test, and also well improves the positioning precision of the laser point cloud odometer by testing on an opening data set.
The present invention is not limited to the above embodiments, and any changes or substitutions that can be easily made by those skilled in the art within the technical scope of the present invention are also within the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (10)

1. A real-time correction method for positioning errors of a laser point cloud odometer is characterized by comprising the following steps:
1) extracting road surface point clouds from historical laser point cloud data collected by an intelligent networked vehicle equipped with a laser radar, constructing an empirical model, and calculating to obtain model parameters;
2) and correcting real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting the established empirical model and model parameters to obtain the laser point cloud data with the error eliminated.
2. The method for real-time correction of laser point cloud odometer positioning error as claimed in claim 1, wherein: in the step 1), extracting road surface point clouds from historical laser point cloud data collected by an intelligent networked vehicle equipped with a laser radar, constructing an empirical model, and calculating to obtain model parameters, the method comprises the following steps:
1.1) analyzing the distortion rule of historical laser point cloud data, and constructing an empirical model s according to the analysis result;
1.2) extracting a multi-frame pavement laser point cloud fitting spherical surface from historical laser point cloud data, and averaging the spherical radius of the fitting spherical surface to obtain model parameters of the empirical model
Figure FDA0002874198630000011
3. The method for real-time correction of laser point cloud odometer positioning error as claimed in claim 2, wherein: in step 1.1), the empirical model s is:
Figure FDA0002874198630000012
in the formula (I), the compound is shown in the specification,
Figure FDA0002874198630000013
the parameters of the empirical model are approximately equal to the curvature radius of the plane point cloud distortion at the position where | z | ═ 1; d2=x2+y2And x, y and z are coordinates in a laser radar coordinate system.
4. The method for real-time correction of laser point cloud odometer positioning error as claimed in claim 2, wherein: in the step 1.2), extracting a multi-frame pavement laser point cloud fitting spherical surface from the laser point cloud data, averaging the spherical radius of the fitting spherical surface, and calculating to obtain model parameters of the empirical model
Figure FDA0002874198630000014
The method comprises the following steps:
1.2.1) randomly extracting m frames of laser point clouds from the collected laser point cloud data;
1.2.2) extracting points { X) belonging to the road surface by using a plane random sampling consistency method for each frame of laser point cloud1,X2,...,XmJudging whether coordinate conversion is needed or not according to the difference between the z axis of the original coordinate system of the laser radar and the vertical direction of the ground, and entering step 1.2.3 when the coordinate conversion is needed, or entering step 1.2.5);
1.2.3) normalized Normal vector n from road surface1,n2,...,nmCalculating an average normal vector
Figure FDA0002874198630000015
And according to the obtained average normal vector
Figure FDA0002874198630000016
Calculating to obtain a conversion matrix T, carrying out coordinate conversion on the collected laser point cloud data, and entering the step 1.2.4);
1.2.4) pairs of points { X) of the sets of road surfaces extracted in step 1.2.2) using a rotation matrix T1,X2,...,XmCoordinate conversion is carried out to obtain the average z value of each group of points
Figure FDA0002874198630000017
And fitting a sphere on each group of points based on the average z value of each group of points to obtain the radius of the sphere of each group of points
Figure FDA0002874198630000018
1.2.5) points { X) of the respective sets of road surfaces extracted according to step 1.2.2)1,X2,...,XmObtaining the average value of each group of points, and fitting a curved surface on each group of points to obtain the spherical radius of each group of points;
1.2.6) spherical radius of each set of points obtained according to step 1.2.4) or 1.2.5)
Figure FDA0002874198630000021
Calculating to obtain model parameters
Figure FDA0002874198630000022
5. The method for real-time correction of laser point cloud odometer positioning error as claimed in claim 1, wherein: in the step 1.2.2), the method for judging whether the coordinate conversion is needed according to the difference between the z axis of the original coordinate system of the laser radar and the vertical direction of the ground comprises the following steps: judging the included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground, if the included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground is larger than a preset threshold value, carrying out coordinate conversion, otherwise, carrying out coordinate conversion.
6. The method of claim 4, wherein the method comprises the following steps: in the step 1.2.3), according to the normalized normal vector { n of the road surface1,n2,...,nmCalculating an average normal vector
Figure FDA0002874198630000023
And according to the obtained average normal vector
Figure FDA0002874198630000024
The method for obtaining the transformation matrix T by calculation comprises the following steps:
first, based on the average normal vector
Figure FDA0002874198630000025
Obtaining a conversion formula:
Figure FDA0002874198630000026
wherein v is a rotation axis and θ is a rotation angle;
then, a rotation quaternion q is constructed according to the above conversion equation:
Figure FDA0002874198630000027
in the formula, q0、q1、q2、q3Four components of a quaternion, q0Real part called quaternion, q1,q2,q3An imaginary part called a quaternion;
and finally, converting the rotation quaternion into a rotation matrix T to obtain:
Figure FDA0002874198630000028
7. the method of claim 4, wherein the method comprises the following steps: in said step 1.2.6), the model parameters
Figure FDA0002874198630000029
The calculation formula of (2) is as follows:
Figure FDA00028741986300000210
Figure FDA00028741986300000211
in the formula (Q)1,Q3) Respectively the upper and lower quartiles in all spherical radii.
8. The method for real-time correction of laser point cloud odometer positioning error as claimed in claim 1, wherein: in the step 2), the method for real-time correcting the real-time laser point cloud data collected by the intelligent networked vehicle by using the established empirical model and the model parameters comprises the following steps:
2.1) judging an included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground, if the included angle between the z axis of the original coordinate system of the laser radar of the intelligent networked vehicle and the vertical direction of the ground is greater than a preset threshold value, entering a step 2.2), and if not, entering a step 2.4);
2.2) carrying out coordinate conversion on the original laser point cloud data to ensure that the included angle between the laser radar z-axis of the converted intelligent networked vehicle and the vertical direction of the ground is smaller than a preset threshold value, and entering the step 2.3);
2.3) real-time correction is carried out on real-time laser point cloud data collected by the intelligent networked vehicle by adopting the established empirical model, and coordinate inverse transformation is carried out on the point cloud data after the real-time correction so as to transform the point cloud data back to an original coordinate system, thus obtaining the laser point cloud data after the error elimination;
the calculation formula for real-time correction is as follows:
z′=z·s
in the formula, z' is a corrected laser point cloud z coordinate;
and 2.4) correcting the real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting the established empirical model to obtain the laser point cloud data with the error eliminated.
9. A real-time correction system for positioning errors of a laser point cloud odometer is characterized by comprising:
the system comprises an empirical model building module, a data acquisition module and a data processing module, wherein the empirical model building module is used for extracting road surface point clouds from historical laser point cloud data acquired by an intelligent networked vehicle equipped with a laser radar, building an empirical model and calculating to obtain model parameters;
and the error correction module is used for correcting the real-time laser point cloud data acquired by the intelligent networked vehicle in real time by adopting the established empirical model and the model parameters to obtain the laser point cloud data with the error eliminated.
10. The system of claim 9 for real-time correction of laser point cloud odometer positioning errors, wherein: the empirical model building module comprises:
the model building module is used for analyzing the distortion rule of the laser point cloud data and building an experience model s according to the analysis result;
a model parameter calculation module for extracting multi-frame pavement laser point cloud fitting sphere from the historical laser point cloud data, and averaging the spherical radius of the fitting sphere to obtain model parameters of the empirical model
Figure FDA0002874198630000031
CN202011609084.0A 2020-12-30 2020-12-30 Real-time correction method and system for positioning error of laser point cloud odometer Pending CN112731357A (en)

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