CN117146720B - A rolling linear guide rail profile detection method and detection platform - Google Patents
A rolling linear guide rail profile detection method and detection platform Download PDFInfo
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Abstract
本发明公开了一种滚动直线导轨副导轨型面检测方法及检测平台,方法包括:由线激光测量仪采集点云数据;基于所采集的点云数据进行导轨面截面提取;对截面上的大曲率拐点进行提取;对待测导轨进行圆弧拟合和平面拟合;对导轨型面的参数进行求解。本发明对于滚动直线导轨副导轨型面参数的检测考虑更为全面,检测范围包括滚道直线导轨副的导轨滚道圆弧直径,导轨滚道圆弧中心位置,导轨底面基准面和侧面基准面的平面度和平行度。检测方法速度快效率高,检测算法准确可靠。
The invention discloses a rolling linear guide sub-rail profile detection method and a detection platform. The method includes: collecting point cloud data with a line laser measuring instrument; extracting the guide rail surface section based on the collected point cloud data; Extract the curvature inflection point; perform arc fitting and plane fitting on the guide rail to be tested; and solve the parameters of the guide rail profile. The present invention considers the detection of the guide rail profile parameters of the rolling linear guide rail pair more comprehensively. The detection range includes the guide rail raceway arc diameter of the rolling linear guide rail pair, the center position of the guide rail raceway arc, the base surface of the guide rail bottom surface and the side reference surface. flatness and parallelism. The detection method is fast and efficient, and the detection algorithm is accurate and reliable.
Description
技术领域Technical field
本发明是关于滚动直线导轨副精密检测领域,特别是关于一种滚动直线导轨副导轨型面检测方法。The present invention relates to the field of precision detection of rolling linear guide rail pairs, and in particular to a method for detecting the profile of rolling linear guide rail pairs.
背景技术Background technique
滚动直线导轨副主要由滑块、导轨、滚珠或滚子、反向器、保持器和端盖等组成。导轨是滚动直线导轨副的主体部件,直接影响滚动直线导轨的行走精度、力学性能等。确保滚动直线导轨副中导轨型面的精度和质量,是滚动直线导轨副生产中非常重要的一环。The rolling linear guide pair is mainly composed of slide block, guide rail, ball or roller, reverser, retainer and end cover. The guide rail is the main component of the rolling linear guide, which directly affects the traveling accuracy and mechanical properties of the rolling linear guide. Ensuring the accuracy and quality of the guide rail profile in the rolling linear guide pair is a very important part of the production of the rolling linear guide pair.
导轨的型面信息包括滚道圆弧直径、导轨侧面与底面平面度、滚道中心线相对于平面的平行度,左右导轨滚道中心线距离等。The profile information of the guide rail includes the arc diameter of the raceway, the flatness of the side and bottom of the guide rail, the parallelism of the raceway center line relative to the plane, the distance between the left and right guide rail raceway center lines, etc.
常见的非接触式滚动导轨型面精度检测方法主要有激光干涉法、激光准直测量法、激光三角法、激光跟踪法等。其中,激光干涉法具有高精度、高灵敏度、非接触式等优点,已成为导轨型面精度检测技术的主流方法之一。Common non-contact rolling guide surface accuracy detection methods mainly include laser interference method, laser alignment measurement method, laser triangulation method, laser tracking method, etc. Among them, laser interference method has the advantages of high precision, high sensitivity, non-contact, etc., and has become one of the mainstream methods of guide rail profile accuracy detection technology.
目前仍没有一种通用的、高效的导轨型面检测方法,对于导轨型面的理论分析和研究装置的成果较少,未形成面对市场的产品,并且还存在着检测指标不规范不统一、测量精度和检测效率较低等问题。At present, there is still no universal and efficient method for detecting guide rail profiles. There are few achievements in theoretical analysis and research devices for guide rail profiles. There are no market-oriented products. Moreover, there are still non-standard and inconsistent detection indicators. Problems such as low measurement accuracy and low detection efficiency.
公开于该背景技术部分的信息仅仅旨在增加对本发明的总体背景的理解,而不应当被视为承认或以任何形式暗示该信息构成已为本领域一般技术人员所公知的现有技术。The information disclosed in this Background section is merely intended to enhance an understanding of the general background of the invention and should not be construed as an admission or in any way implying that the information constitutes prior art that is already known to a person of ordinary skill in the art.
发明内容Contents of the invention
为实现上述目的,本发明提供了一种滚动直线导轨副导轨型面检测方法,其特征在于,方法包括:In order to achieve the above object, the present invention provides a rolling linear guide auxiliary guide rail profile detection method, which is characterized in that the method includes:
由线激光测量仪采集点云数据;Point cloud data is collected by a line laser measuring instrument;
基于所采集的点云数据进行导轨面截面提取;Extract the rail surface section based on the collected point cloud data;
对截面上的大曲率拐点进行提取;Extract the inflection points of large curvature on the cross section;
对待测导轨进行圆弧拟合和平面拟合;Carry out arc fitting and plane fitting for the guide rail to be tested;
对导轨型面的参数进行求解。Solve the parameters of the guide rail profile.
在一优选的实施方式中,对导轨面直通滤波截面提取具体包括如下步骤:In a preferred embodiment, extracting the straight-through filtering section of the guide rail surface specifically includes the following steps:
沿着滑块运动方向进行截面提取,设置滤波器的过滤字段为“y”;Extract sections along the movement direction of the slider, and set the filter field of the filter to "y";
设置函数限制范围为截面厚度值;Set the function limit range to the section thickness value;
设置滤波器过滤方向,正向过滤即保留截面数据,反向过滤即对整个数据去除截面信息;Set the filter direction. Forward filtering means retaining cross-section data, and reverse filtering means removing cross-section information from the entire data;
重复执行N次,每次执行将输入数据更新至上一次截面的反向过滤数据,并不断增加函数限制范围两参数值。Repeat N times, each time the input data is updated to the reverse filtered data of the previous section, and the two parameter values of the function limit range are continuously increased.
在一优选的实施方式中,对截面上的大曲率拐点进行提取具体包括如下步骤:In a preferred embodiment, extracting the inflection point of large curvature on the cross-section specifically includes the following steps:
利用KD-Tree的nearestKSearch方法,遍历截面点云的每个点以查找最近的K 个点,并提取最近邻搜索得到的点索引和距离结果;Use the nearestKSearch method of KD-Tree to traverse each point of the cross-section point cloud to find the nearest K points, and extract the point index and distance results obtained by the nearest neighbor search;
使用主成分分析方法计算提取点云的主成分,得到三个特征向量 v1、v2以及v3;Use the principal component analysis method to calculate and extract the principal components of the point cloud, and obtain three feature vectors v1, v2 and v3;
计算出提取点云的质心坐标,根据质心和v1的方向拟合一条直线;Calculate the centroid coordinates of the extracted point cloud and fit a straight line based on the centroid and the direction of v1;
计算点云提取点云集中的每个点到拟合直线的距离的平均值、方差和标准差;Calculate the mean, variance and standard deviation of the distance from each point in the point cloud set to the fitted straight line;
判断标准差是否大于设定阈值;Determine whether the standard deviation is greater than the set threshold;
如果判断标准差大于设定阈值,则确定点是导轨截面圆弧段的拐点。If the standard deviation is judged to be greater than the set threshold, the determined point is the inflection point of the arc segment of the guide rail section.
在一优选的实施方式中,对待测导轨进行圆弧拟合和平面拟合包括如下步骤:In a preferred embodiment, performing arc fitting and plane fitting on the guide rail to be measured includes the following steps:
创建SACSegmentation对象,分别设置其模型类型为三维圆模型和平面模型,执行拟合;Create a SACSegmentation object, set its model type to a three-dimensional circular model and a plane model, and perform fitting;
每次平面拟合时,记录模型的内点数,不断提取并比较内点数量大小,更新记录最大和第二大平面的拟合结果。Each time the plane is fitted, the number of interior points of the model is recorded, the number of interior points is continuously extracted and compared, and the fitting results of the largest and second largest planes are updated and recorded.
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算导轨滚道半径,计算导轨滚道半径包括如下步骤:Calculate the guide rail raceway radius. Calculating the guide rail raceway radius includes the following steps:
设各截面拟合圆弧的半径分别为:,其中n为截面数量,则滚道圆弧半径值R为:/>,Assume that the radii of the fitting arcs of each section are: , where n is the number of sections, then the raceway arc radius value R is:/> ,
标准差为:。The standard deviation is: .
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算滚道中心距Hr,计算滚道中心距Hr包括如下步骤:Calculate the raceway center distance Hr. Calculating the raceway center distance Hr includes the following steps:
设某一截面拟合左圆弧圆心坐标为,右圆弧圆心坐标为,则两圆弧中心距/>为:Assume that the center coordinate of the left arc fitted to a certain section is , the center coordinate of the right arc is , then the distance between the centers of the two arcs/> for:
,计算得各截面圆弧中心距为,其中n为截面数量,则滚道中心距Hr为:, , the calculated center distance of each cross-section arc is , where n is the number of sections, then the raceway center distance Hr is: ,
标准差为:。The standard deviation is: .
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算滚道中心到底面基准距离H,计算滚道中心到底面基准距离H包括如下步骤:Calculate the reference distance H from the raceway center to the bottom surface. Calculating the reference distance H from the raceway center to the bottom surface includes the following steps:
设某一截面拟合圆弧圆心坐标为,拟合底面的平面方程为,则圆心到底面基准距离/>为:Assume that the center coordinate of a certain section fitting arc is , the plane equation fitting the bottom surface is , then the reference distance between the center of the circle and the bottom surface/> for:
,计算得各截面圆弧到底面基准距为,其中n为截面数量,则滚道中心距H为:/>, , the calculated base distance of each cross-section arc to the bottom is , where n is the number of sections, then the raceway center distance H is:/> ,
标准差为:。The standard deviation is: .
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算导轨基准面平行度,计算导轨基准面平行度包括如下步骤:Calculate the parallelism of the guide rail datum plane. Calculating the parallelism of the guide rail datum plane includes the following steps:
设各截面圆心连线的方向向量为滚道中线的方向向量,导轨侧面基准面的法向量为/>,则其与滚道中线的夹角/>为:/>,Let the direction vector of the line connecting the center lines of each section be the direction vector of the raceway center line , the normal vector of the guide rail side reference plane is/> , then the angle between it and the center line of the raceway/> For:/> ,
设导轨底面基准面的法向量为,则其与滚道中线的夹角/>为:。Suppose the normal vector of the base plane of the guide rail bottom is , then the angle between it and the center line of the raceway/> for: .
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算导轨基准面的平面度,计算导轨基准面的平面度包括如下步骤:Calculate the flatness of the guide rail datum. Calculating the flatness of the guide rail datum includes the following steps:
首先计算每个点到该平面的距离:/>,其中i是基准平面/>中的一点,First calculate the distance from each point to the plane :/> , where i is the datum plane/> a little bit,
设基准平面总共有n个点,计算所有距离的平均值:,计算所有距离的最大值/>,由公式:平面度 = 最大偏差 / 平均偏差,得基准平面的平面度:。Assume that the datum plane has a total of n points, and calculate the average of all distances: , calculate the maximum value of all distances/> , according to the formula: flatness = maximum deviation/average deviation, the flatness of the reference plane can be obtained: .
本发明提供了一种导轨型面检测平台,平台包括安装平板,安装平板上配有悬挂式电机座,伺服电机安装在电机座上,伺服电机通过膜片型联轴器驱动左右旋向滚珠丝杠,左右旋向滚珠丝杠采用固定支撑的方式安装于固定单元与支撑单元上,左右旋向滚珠丝杠传动两个固定于悬挂架的螺母,能够进行同步反向的调整运动,悬挂架上配有拉伸弹簧连接测量仪安装板,安装板用于固定线激光测量仪,微调螺栓安装于悬挂架上,微调螺栓用于顶住安装板,通过微调螺栓的螺旋进给微调线激光测量仪的位姿,每个微调螺栓配备开槽型自锁螺母,悬挂架由固定于安装平板侧面的滚珠丝杠副导向,安装平板中间安装测量仪安装架安装第二线激光测量仪,其中,平台被用于执行如前述的方法。The invention provides a guide rail profile detection platform. The platform includes a mounting flat plate. The mounting flat plate is equipped with a suspended motor base. A servo motor is installed on the motor base. The servo motor drives the left and right rotating ball wires through a diaphragm coupling. The left and right rotating ball screws are installed on the fixed unit and the support unit in a fixed support manner. The left and right rotating ball screws drive two nuts fixed on the suspension frame, which can perform synchronous and reverse adjustment movements. On the suspension frame It is equipped with a tension spring to connect the measuring instrument mounting plate. The mounting plate is used to fix the line laser measuring instrument. The fine-tuning bolt is installed on the suspension frame. The fine-tuning bolt is used to withstand the mounting plate. The fine-tuning line laser measuring instrument is fed by the screw of the fine-tuning bolt. In the position of Used to perform the method described above.
与现有技术相比,本发明具有如下优点,发明目的在于提供一种滚动直线导轨副导轨型面参数的检测方法,以提供非接触式导轨型面误差测量方案。本发明采用线激光测量仪对导轨型面特征测量,并设计调整机构满足多尺寸规格导轨的高精度测量任务。本发明能够检测导轨型面特征包括:导轨滚道圆弧直径,导轨滚道圆弧中心位置,导轨底面基准面和侧面基准面的平面度和平行度。本发明对于滚动直线导轨副导轨型面参数的检测考虑更为全面,检测范围包括滚道直线导轨副的导轨滚道圆弧直径,导轨滚道圆弧中心位置,导轨底面基准面和侧面基准面的平面度和平行度。检测方法速度快效率高,检测算法准确可靠。Compared with the existing technology, the present invention has the following advantages. The purpose of the invention is to provide a method for detecting the profile parameters of the rolling linear guide sub-guide rail to provide a non-contact guide rail profile error measurement solution. The invention uses a line laser measuring instrument to measure the profile characteristics of the guide rail, and designs an adjustment mechanism to meet the high-precision measurement task of multi-size guide rails. The invention can detect the profile characteristics of the guide rail including: the arc diameter of the guide rail raceway, the center position of the arc of the guide rail raceway, and the flatness and parallelism of the base surface of the guide rail and the side reference surface. The present invention considers the detection of the guide rail profile parameters of the rolling linear guide rail pair more comprehensively. The detection range includes the guide rail raceway arc diameter of the rolling linear guide rail pair, the guide rail raceway arc center position, the guide rail bottom reference surface and the side reference surface. flatness and parallelism. The detection method is fast and efficient, and the detection algorithm is accurate and reliable.
附图说明Description of drawings
图1是本发明的导轨型面检测平台的主视图。Figure 1 is a front view of the guide rail profile detection platform of the present invention.
图2是本发明的导轨型面检测平台的侧视图。Figure 2 is a side view of the guide rail profile detection platform of the present invention.
图3是本发明的断面提取的流程图。Figure 3 is a flow chart of cross-section extraction in the present invention.
图4是本发明的大曲率拐点提取的流程图。Figure 4 is a flow chart of large curvature inflection point extraction according to the present invention.
图5是本发明的对待测导轨进行圆弧拟合的流程图。Figure 5 is a flow chart of arc fitting of the guide rail to be measured according to the present invention.
图6是本发明的对待测导轨进行平面拟合的流程图。Figure 6 is a flow chart of plane fitting of the guide rail to be measured according to the present invention.
实施方式Implementation
下面结合附图,对本发明的具体实施方式进行详细描述,但应当理解本发明的保护范围并不受具体实施方式的限制。The specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings, but it should be understood that the protection scope of the present invention is not limited by the specific embodiments.
除非另有其它明确表示,否则在整个说明书和权利要求书中,术语“包括”或其变换如“包含”或“包括有”等等将被理解为包括所陈述的元件或组成部分,而并未排除其它元件或其它组成部分。Unless expressly stated otherwise, throughout the specification and claims, the term "comprises" or its variations such as "comprises" or "comprising" will be understood to include the stated elements or components, and to Other elements or other components are not excluded.
图1是本发明的导轨型面检测平台的主视图。图2是本发明的导轨型面检测平台的侧视图。如图所示,本发明提供了一种导轨型面检测平台,其主体结构是:安装平板1,安装平板1上配有悬挂式电机座2,伺服电机3安装在电机座2上,伺服电机3通过膜片型联轴器4驱动左右旋向滚珠丝杠5,左右旋向滚珠丝杠5采用固定支撑的方式安装于固定单元6与支撑单元7上,左右旋向滚珠丝杠5配两个螺母9,两个螺母9分别位于两段旋向相反的螺纹上,装配在悬挂架8上,则两个悬挂架8能够进行同步反向的调整运动。悬挂架8底部上配有拉伸弹簧10连接测量仪安装板11,安装板11用于固定两侧方线激光测量仪12。微调螺栓13安装于悬挂架8上,微调螺栓13用于顶住安装板11,通过微调螺栓13的螺旋进给微调线激光测量仪12的位姿。每个微调螺栓13配备开槽型自锁螺母。悬挂架8由固定于安装平板1侧面的滚珠直线导轨副14导向。安装平板1中间安装测量仪安装架15安装第二线激光测量仪16。对同步反向运动轴装配行程开关17与绝对式光栅系统18。Figure 1 is a front view of the guide rail profile detection platform of the present invention. Figure 2 is a side view of the guide rail profile detection platform of the present invention. As shown in the figure, the present invention provides a guide rail profile detection platform. Its main structure is: a mounting plate 1. The mounting plate 1 is equipped with a suspended motor base 2. The servo motor 3 is installed on the motor base 2. The servo motor 3. The diaphragm coupling 4 drives the left and right rotating ball screws 5. The left and right rotating ball screws 5 are installed on the fixed unit 6 and the support unit 7 in a fixed support manner. The left and right rotating ball screws 5 are equipped with two Two nuts 9 are respectively located on two sections of threads with opposite directions of rotation, and are assembled on the suspension frame 8, so that the two suspension frames 8 can perform synchronous and reverse adjustment movements. The bottom of the suspension frame 8 is equipped with a tension spring 10 connected to the measuring instrument mounting plate 11. The mounting plate 11 is used to fix the square line laser measuring instruments 12 on both sides. The fine-tuning bolt 13 is installed on the suspension frame 8. The fine-tuning bolt 13 is used to withstand the mounting plate 11, and the position and orientation of the fine-tuning line laser measuring instrument 12 is fed by the screw of the fine-tuning bolt 13. Each fine-tuning bolt 13 is equipped with a slotted self-locking nut. The suspension frame 8 is guided by a ball linear guide pair 14 fixed on the side of the mounting plate 1 . The measuring instrument mounting bracket 15 is installed in the middle of the installation plate 1 to install the second line laser measuring instrument 16 . The synchronous reverse motion axis is equipped with a travel switch 17 and an absolute grating system 18.
本发明提出一种基于线激光三角位移传感器的导轨型面检测方法,本发明是一种非接触式的检测方法。本发明的方法的基本原理在于:利用线激光位移传感器将激光投射到被检测导轨表面上,线激光测量仪12扫描被测导轨的滚道和侧面信息,第二线激光测量仪16扫描被测导轨的底面信息。将位移传感器采集到的数据传入计算机点云处理,开发相应的算法完成导轨型面检测,测量原理见图。对于尺寸较大的导轨型号,将导轨侧面分区域,多次扫描完成测量。线激光测量仪(其在本发明中也称为线激光位移传感器,线激光三角位移传感器)运行时,发射出一条线激光打在被测导轨上。当三个线激光测量仪同步采集时,可看成对被测导轨沿滑块的运动方向不断地进行“断面轮廓”检测。其中,相邻断面的间距由传感器的触发方式和采集频率可调。当被测导轨扫描完毕,将各断面信息拼接起来,即可得到被测导轨的整个三维型面信息。The invention proposes a guide rail profile detection method based on a line laser triangular displacement sensor. The invention is a non-contact detection method. The basic principle of the method of the present invention is to use a line laser displacement sensor to project laser onto the surface of the tested guide rail, the line laser measuring instrument 12 scans the raceway and side information of the tested guide rail, and the second line laser measuring instrument 16 scans the tested guide rail bottom information. The data collected by the displacement sensor are transferred to the computer for point cloud processing, and the corresponding algorithm is developed to complete the guide rail profile detection. The measurement principle is shown in the figure. For larger guide rail models, divide the side of the guide rail into areas and scan multiple times to complete the measurement. When the line laser measuring instrument (which is also called a line laser displacement sensor or a line laser triangular displacement sensor in the present invention) is running, it emits a line of laser light to hit the measured guide rail. When the three line laser measuring instruments collect data synchronously, it can be seen as continuously detecting the "section profile" of the measured guide rail along the movement direction of the slider. Among them, the distance between adjacent sections is adjustable by the triggering method and collection frequency of the sensor. When the measured guide rail is scanned, the cross-sectional information is spliced together to obtain the entire three-dimensional profile information of the measured guide rail.
本发明提供了一种滚动直线导轨副导轨型面检测方法,其特征在于,方法包括:The invention provides a rolling linear guide rail sub-rail profile detection method, which is characterized in that the method includes:
由线激光测量仪采集点云数据;Point cloud data is collected by a line laser measuring instrument;
如图3所示,在一优选的实施方式中,本发明的导轨面截面提取的方法具体为:As shown in Figure 3, in a preferred embodiment, the method for extracting the guide rail surface section of the present invention is specifically:
线激光位移传感器采集到的数据具有以下特点:PCD文件中,点云数据以组的形式保存。每组数据中,第一列数据代表点云X轴坐标值,每点数值的差值固定,即线激光传感器的轮廓数据间隔。第二列数据代表采集过程中激光器运动方向上的实际位移。第三列数据代表每一点的高度值,其中负数指该点在基准零位以下。The data collected by the line laser displacement sensor has the following characteristics: In the PCD file, the point cloud data is saved in the form of groups. In each set of data, the first column of data represents the X-axis coordinate value of the point cloud, and the difference between each point value is fixed, which is the contour data interval of the line laser sensor. The second column of data represents the actual displacement in the direction of laser movement during the acquisition process. The third column of data represents the height value of each point, where negative numbers mean that the point is below the reference zero.
在一个实施例中,基于直通滤波器的方法进行导轨面截面提取。首先将滤波器的过滤字段设置为“y”,即沿着滑块运动方向进行截面提取。设置函数限制范围(min_limit,max_limit),min_limit以及max_limit的差值即代表截面厚度值。设置滤波器过滤方向,正向过滤即保留截面数据,反向过滤即对整个数据去除截面信息。以上步骤不断重复执行N次,每次执行将输入数据更新至上一次截面的反向过滤数据,并将函数限制范围均增加一个值section_interval,即可提取到N个截面。其中,section_interval代表两截面间隔距离。In one embodiment, a method based on a straight-through filter is used to extract rail surface sections. First, set the filter field of the filter to "y", that is, perform section extraction along the direction of slider movement. Set the function limit range (min_limit, max_limit). The difference between min_limit and max_limit represents the cross-section thickness value. Set the filter direction. Forward filtering means retaining cross-section data, and reverse filtering means removing cross-section information from the entire data. The above steps are repeated N times. Each time the input data is updated to the reverse filtered data of the previous section, and the function limit range is increased by a value section_interval, N sections can be extracted. Among them, section_interval represents the distance between two sections.
如图4所示,在一优选的实施方式中,对截面上的大曲率拐点进行提取具体包括如下步骤:As shown in Figure 4, in a preferred embodiment, extracting the inflection point of large curvature on the cross-section specifically includes the following steps:
利用KD-Tree的nearestKSearch方法,遍历截面点云的每个点以查找最近的K 个点,保存最近邻搜索得到的点的索引和距离结果。单独提取出索引值;Use the nearestKSearch method of KD-Tree to traverse each point of the cross-section point cloud to find the nearest K points, and save the index and distance results of the points obtained by the nearest neighbor search. Extract the index value separately;
使用主成分分析方法计算提取点云的主成分,得到三个特征向量 v1、v2以及v3;Use the principal component analysis method to calculate and extract the principal components of the point cloud, and obtain three feature vectors v1, v2 and v3;
计算出提取点云的质心坐标,根据质心和v1的方向拟合一条直线;Calculate the centroid coordinates of the extracted point cloud and fit a straight line based on the centroid and the direction of v1;
计算点云提取点云集中的每个点到拟合直线的距离的平均值、方差和标准差;Calculate the mean, variance and standard deviation of the distance from each point in the point cloud set to the fitted straight line;
判断标准差是否大于设定阈值;Determine whether the standard deviation is greater than the set threshold;
如果判断标准差大于设定阈值,则确定点是导轨截面圆弧段的拐点。从原始点云对象中提取出尖锐点和非尖锐点的点云数据,分别聚类存储。If the standard deviation is judged to be greater than the set threshold, the determined point is the inflection point of the arc segment of the guide rail section. Point cloud data of sharp points and non-sharp points are extracted from the original point cloud object and clustered and stored separately.
如图5和图6所示,在一优选的实施方式中,对待测导轨进行圆弧拟合和平面拟合包括如下步骤:As shown in Figures 5 and 6, in a preferred embodiment, performing arc fitting and plane fitting on the guide rail to be measured includes the following steps:
基于随机采样一致性算法(RANSAC)的圆弧和平面拟合。创建SACSegmentation对象,分别设置其模型类型为三维圆模型(即拟合圆弧)和平面模型,设置方法类型为RANSAC,执行拟合。Arc and plane fitting based on Random Sampling Consensus Algorithm (RANSAC). Create a SACSegmentation object, set its model type to a three-dimensional circle model (that is, fitting an arc) and a plane model, set the method type to RANSAC, and perform fitting.
在平面拟合中,待测导轨的底面基准面对应采集点云的最大平面,而侧面基准面对应采集点云的第二大平面。每次平面拟合时,记录模型的内点数,不断提取并比较内点数量大小,更新记录最大和第二大平面的拟合结果。In plane fitting, the bottom datum plane of the guide rail to be measured corresponds to the largest plane of the collected point cloud, while the side datum plane corresponds to the second largest plane of the collected point cloud. Each time the plane is fitted, the number of interior points of the model is recorded, the number of interior points is continuously extracted and compared, and the fitting results of the largest and second largest planes are updated and recorded.
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算导轨滚道半径,计算导轨滚道半径包括如下步骤:Calculate the guide rail raceway radius. Calculating the guide rail raceway radius includes the following steps:
设各截面拟合圆弧的半径分别为:,其中n为截面数量,则滚道圆弧半径值R为:/>,Assume that the radii of the fitting arcs of each section are: , where n is the number of sections, then the raceway arc radius value R is:/> ,
标准差为:。The standard deviation is: .
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算滚道中心距Hr,计算滚道中心距Hr包括如下步骤:Calculate the raceway center distance Hr. Calculating the raceway center distance Hr includes the following steps:
设某一截面拟合左圆弧圆心坐标为,右圆弧圆心坐标为,则两圆弧中心距/>为:Assume that the center coordinate of the left arc fitted to a certain section is , the center coordinate of the right arc is , then the distance between the centers of the two arcs/> for:
,计算得各截面圆弧中心距为,其中n为截面数量,则滚道中心距Hr为:/>, , the calculated center distance of each cross-section arc is , where n is the number of sections, then the raceway center distance Hr is:/> ,
标准差为:。The standard deviation is: .
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算滚道中心到底面基准距离H,计算滚道中心到底面基准距离H包括如下步骤:Calculate the reference distance H from the raceway center to the bottom surface. Calculating the reference distance H from the raceway center to the bottom surface includes the following steps:
设某一截面拟合圆弧圆心坐标为,拟合底面的平面方程为,则圆心到底面基准距离/>为:Assume that the center coordinate of a certain section fitting arc is , the plane equation fitting the bottom surface is , then the reference distance between the center of the circle and the bottom surface/> for:
,计算得各截面圆弧到底面基准距为,其中n为截面数量,则滚道中心距H为:/>, , the calculated base distance of each cross-section arc to the bottom is , where n is the number of sections, then the raceway center distance H is:/> ,
标准差为:。The standard deviation is: .
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算导轨基准面平行度,计算导轨基准面平行度包括如下步骤:Calculate the parallelism of the guide rail datum plane. Calculating the parallelism of the guide rail datum plane includes the following steps:
设各截面圆心连线的方向向量为滚道中线的方向向量,导轨侧面基准面的法向量为/>,则其与滚道中线的夹角/>为:/>,Let the direction vector of the line connecting the center lines of each section be the direction vector of the raceway center line , the normal vector of the guide rail side reference plane is/> , then the angle between it and the center line of the raceway/> For:/> ,
设导轨底面基准面的法向量为,则其与滚道中线的夹角/>为:。Suppose the normal vector of the base plane of the guide rail bottom is , then the angle between it and the center line of the raceway/> for: .
在一优选的实施方式中,对导轨型面的参数进行求解包括如下步骤:In a preferred embodiment, solving the parameters of the guide rail profile includes the following steps:
计算导轨基准面的平面度,计算导轨基准面的平面度包括如下步骤:Calculate the flatness of the guide rail datum. Calculating the flatness of the guide rail datum includes the following steps:
首先计算每个点到该平面的距离:/>,其中i是基准平面/>中的一点,First calculate the distance from each point to the plane :/> , where i is the datum plane/> a little bit,
设基准平面总共有n个点,计算所有距离的平均值:,计算所有距离的最大值/>,由公式:平面度 = 最大偏差 / 平均偏差,得基准平面的平面度:。Assume that the datum plane has a total of n points, and calculate the average of all distances: , calculate the maximum value of all distances/> , according to the formula: flatness = maximum deviation/average deviation, the flatness of the reference plane can be obtained: .
前述对本发明的具体示例性实施方案的描述是为了说明和例证的目的。这些描述并非想将本发明限定为所公开的精确形式,并且很显然,根据上述教导,可以进行很多改变和变化。对示例性实施例进行选择和描述的目的在于解释本发明的特定原理及其实际应用,从而使得本领域的技术人员能够实现并利用本发明的各种不同的示例性实施方案以及各种不同的选择和改变。本发明的范围意在由权利要求书及其等同形式所限定。The foregoing descriptions of specific exemplary embodiments of the present invention have been presented for purposes of illustration and illustration. These descriptions are not intended to limit the invention to the precise form disclosed, and obviously many modifications and variations are possible in light of the above teachings. The exemplary embodiments were chosen and described in order to explain certain principles of the invention and its practical applications, thereby enabling others skilled in the art to make and utilize various exemplary embodiments of the invention and various different applications. Choice and change. The scope of the invention is intended to be defined by the claims and their equivalents.
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