CN101532827A - Deviation correction method for measurement of rail wear based on laser vision - Google Patents
Deviation correction method for measurement of rail wear based on laser vision Download PDFInfo
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Abstract
本发明公开了一种激光视觉钢轨磨耗测量的纠偏方法,包括:将激光视觉传感器测量得到的钢轨断面的特征轮廓的轨腰轮廓分为轨腰大圆和轨腰小圆;依据轨腰大圆和轨腰小圆的切点,拟合出钢轨纵轴轴线;将特征轮廓投影到垂直于钢轨纵轴轴线的辅助平面,得到钢轨断面的投影轮廓;通过钢轨断面的标准轮廓与投影轮廓的对齐,计算出钢轨断面的磨耗值;基于本发明的方法,可以消除由激光视觉传感器投射出的光平面与钢轨纵轴轴线不垂直带来的钢轨磨耗测量误差。
The invention discloses a deviation correction method for laser vision rail wear measurement, comprising: dividing the rail waist contour of the characteristic contour of the rail section measured by a laser vision sensor into a rail waist large circle and a rail waist small circle; The tangent point of the small waist circle is used to fit the longitudinal axis of the rail; the characteristic contour is projected onto the auxiliary plane perpendicular to the longitudinal axis of the rail to obtain the projected contour of the rail section; by aligning the standard contour of the rail section with the projected contour, the calculation The wear value of the rail section; based on the method of the present invention, the rail wear measurement error caused by the non-perpendicularity between the light plane projected by the laser vision sensor and the longitudinal axis of the rail can be eliminated.
Description
技术领域 technical field
本发明涉及激光视觉测量技术,特别是指一种激光视觉钢轨磨耗测量的纠偏方法。The invention relates to laser vision measurement technology, in particular to a deviation correction method for laser vision rail wear measurement.
背景技术 Background technique
轨道的定期检测对于铁路运输的合理计划和低成本维护是非常重要的:一方面,在轨道磨损和变形早期阶段,进行轨道检测有助于制定合理的铁路维护时间表,以避免危险状况发生;另一方面,有效的轨道检测将为轨道从周期性检修向状态检修转变奠定基础,使有限的人力和仪器设备资源得到更好的利用,有效节约轨道维护成本。Regular inspection of rails is very important for reasonable planning and low-cost maintenance of railway transportation: on the one hand, in the early stages of rail wear and deformation, rail inspection helps to formulate a reasonable railway maintenance schedule to avoid dangerous situations; On the other hand, effective track inspection will lay the foundation for the transformation of track from periodic maintenance to condition-based maintenance, so that limited manpower and equipment resources can be better utilized, and track maintenance costs can be effectively saved.
目前,国内外许多研究机构和学者对钢轨磨耗的检测方式进行了研究,并成功研制了各种测量装置,根据检测方式的不同,测量装置可以分为接触式和非接触式。其中,接触式测量装置的测量精度高,但操作复杂,测量效率低,只适合静态测量,主要用于实验室研究钢轨耐磨性能时使用,不适合在线测量;非接触式测量装置适合动态测量。At present, many research institutions and scholars at home and abroad have studied the detection methods of rail wear, and successfully developed various measuring devices. According to different detection methods, measuring devices can be divided into contact and non-contact. Among them, the contact measurement device has high measurement accuracy, but the operation is complicated and the measurement efficiency is low. It is only suitable for static measurement. It is mainly used in the laboratory to study the wear resistance of rails and is not suitable for online measurement. The non-contact measurement device is suitable for dynamic measurement. .
关于非接触式测量装置,在申请号为200510123725.0,发明名称为“钢轨磨耗激光视觉动态测量装置及测量方法”的中国专利申请中,公开了一种只在钢轨内侧设置一个单线激光视觉传感器,便可完成对钢轨垂直磨耗和侧面磨耗测量的装置,该装置及测量方法提高了钢轨磨耗测量效率,降低了测量设备成本,改善了工程化应用的可操作性和便捷性。但是该装置中的激光视觉传感器只投射一个光平面,因此每幅图像只包含一个钢轨断面的特征轮廓,造成图像信息的浪费。Regarding the non-contact measuring device, in the Chinese patent application whose application number is 200510123725.0, and the invention name is "Laser Vision Dynamic Measurement Device and Measurement Method for Rail Wear", a single-line laser vision sensor is only arranged on the inner side of the rail, which is convenient The device can complete the measurement of rail vertical wear and side wear. The device and measurement method improve the efficiency of rail wear measurement, reduce the cost of measurement equipment, and improve the operability and convenience of engineering applications. However, the laser vision sensor in this device only projects one light plane, so each image only contains the characteristic outline of a rail section, resulting in a waste of image information.
另外,在申请号为200710176429.6,发明名称为“一种钢轨磨耗综合参数车载动态测量装置及方法”的中国专利申请中,公开了一种基于光栅结构的激光视觉传感器测量钢轨垂直磨耗、水平磨耗及波浪磨耗的装置及方法。该专利申请中描述的装置及方法,在无需提高图像采集硬件性能的情况下,便可提高采集密度,从而满足波浪磨耗在线动态测量要求。In addition, in the Chinese patent application with the application number 200710176429.6 and the title of the invention "a vehicle-mounted dynamic measurement device and method for comprehensive parameters of rail wear", a laser vision sensor based on a grating structure is disclosed to measure the vertical wear, horizontal wear and Apparatus and method for wave abrasion. The device and method described in this patent application can increase the acquisition density without improving the performance of image acquisition hardware, so as to meet the requirements of online dynamic measurement of wave wear.
上述两种装置及测量方法在钢轨磨耗测量过程中,均要求激光视觉传感器所投射出的光平面垂直于钢轨纵轴轴线。但是,在激光视觉传感器安装过程中,很难保证其投射出的光平面与钢轨纵轴轴线垂直。此外,激光视觉传感器安装在列车底部,随列车运行时,由于列车的振动也会造成激光视觉传感器投射出的光平面与钢轨纵轴轴线不垂直,从而降低了钢轨磨耗测量的精度。The above two devices and measurement methods require that the light plane projected by the laser vision sensor be perpendicular to the longitudinal axis of the rail during the rail wear measurement process. However, during the installation process of the laser vision sensor, it is difficult to ensure that the light plane projected by it is perpendicular to the longitudinal axis of the rail. In addition, the laser vision sensor is installed at the bottom of the train. When the train is running, the light plane projected by the laser vision sensor is not perpendicular to the longitudinal axis of the rail due to the vibration of the train, thereby reducing the accuracy of rail wear measurement.
发明内容 Contents of the invention
有鉴于此,本发明的主要目的在于提供一种激光视觉钢轨磨耗测量的纠偏方法,能够消除由激光视觉传感器投射出的光平面与钢轨纵轴轴线不垂直带来的钢轨磨耗测量误差,提高了钢轨磨耗测量的精度。In view of this, the main purpose of the present invention is to provide a method for correcting the wear of a laser vision rail, which can eliminate the measurement error of the rail wear caused by the non-perpendicularity between the light plane projected by the laser vision sensor and the longitudinal axis of the rail. Accuracy of rail wear measurement.
为达到上述目的,本发明的技术方案是这样实现的:In order to achieve the above object, technical solution of the present invention is achieved in that way:
本发明提供了一种激光视觉钢轨磨耗测量的纠偏方法,该方法包括:The invention provides a deviation correction method for laser vision rail wear measurement, the method comprising:
a、将激光视觉传感器测量得到的钢轨断面的特征轮廓的轨腰轮廓分为轨腰大圆和轨腰小圆;a. The rail waist profile of the characteristic profile of the rail section measured by the laser vision sensor is divided into a rail waist large circle and a rail waist small circle;
b、依据所述轨腰大圆和轨腰小圆的切点,拟合出钢轨纵轴轴线;b. Fitting the longitudinal axis of the rail according to the tangent point of the large rail waist circle and the small rail waist circle;
c、将所述特征轮廓投影到垂直于所述钢轨纵轴轴线的辅助平面,得到钢轨断面的投影轮廓;c. Projecting the feature profile to an auxiliary plane perpendicular to the longitudinal axis of the rail to obtain a projected profile of the rail section;
d、通过钢轨断面的标准轮廓与所述投影轮廓的对齐,计算出钢轨断面的磨耗值。d. Calculate the wear value of the rail section by aligning the standard profile of the rail section with the projected profile.
其中,步骤a所述激光视觉传感器测量钢轨断面的特征轮廓为:激光视觉传感器在钢轨内侧投射出光平面,所述光平面与钢轨相交形成钢轨断面的特征轮廓。Wherein, the laser vision sensor in step a measures the characteristic contour of the rail section: the laser vision sensor projects a light plane inside the rail, and the light plane intersects with the rail to form the characteristic contour of the rail section.
所述激光视觉传感器包含两个或两个以上的光平面投射器;所述激光视觉传感器投射出的多个光平面相互平行。The laser vision sensor includes two or more than two light plane projectors; the multiple light planes projected by the laser vision sensor are parallel to each other.
在所述步骤a之后,该方法还包括:基于所述特征轮廓在激光视觉传感器数学模型二维测量坐标系下的坐标,采用半径约束非线性优化方法分别拟合所述轨腰大圆和轨腰小圆的方程;并基于所述轨腰大圆和轨腰小圆的方程计算出所述轨腰大圆和轨腰小圆的切点坐标。After the step a, the method also includes: based on the coordinates of the feature profile in the two-dimensional measurement coordinate system of the laser vision sensor mathematical model, using a radius-constrained nonlinear optimization method to respectively fit the rail waist great circle and rail waist The equation of the small circle; and calculate the tangent point coordinates of the large circle of the rail waist and the small circle of the rail waist based on the equations of the large circle of the rail waist and the small circle of the rail waist.
步骤b所述依据轨腰大圆和轨腰小圆的切点拟合钢轨纵轴轴线为:依据所述切点在所述激光视觉传感器数学模型摄像机坐标系下的坐标拟合直线,将所述直线作为钢轨纵轴轴线。In step b, fitting the longitudinal axis of the rail according to the tangent point of the large rail waist circle and the small rail waist circle is: according to the coordinate fitting line of the tangent point in the camera coordinate system of the mathematical model of the laser vision sensor, the The straight line is used as the longitudinal axis of the rail.
步骤d所述将钢轨断面的标准轮廓与所述投影轮廓对齐为:以所述投影轮廓的轨腰轮廓为基准,在所述辅助平面上将所述标准轮廓和投影轮廓对齐。In step d, aligning the standard profile of the rail section with the projected profile is: taking the rail waist profile of the projected profile as a reference, and aligning the standard profile with the projected profile on the auxiliary plane.
所述磨耗值包括:垂直磨耗值和水平磨耗值。The wear values include: vertical wear values and horizontal wear values.
步骤d所述计算钢轨断面的磨耗值为:The wear value of the calculated rail section described in step d is:
所述垂直磨耗值为所述标准轮廓的垂直磨耗测量点在垂直方向上到所述投影轮廓的距离;The vertical wear value is the distance from the vertical wear measurement point of the standard profile to the projected profile in the vertical direction;
所述水平磨耗值为所述标准轮廓的水平磨耗测量点在水平方向上到所述投影轮廓的距离。The horizontal wear value is the distance from the horizontal wear measurement point of the standard profile to the projected profile in the horizontal direction.
本发明的激光视觉钢轨磨耗测量的纠偏方法,采用多线激光视觉传感器采集含有钢轨多个断面特征轮廓的图像,如此可以提高图像信息的利用率。The deviation correction method for laser vision rail wear measurement of the present invention uses a multi-line laser vision sensor to collect images containing multiple cross-sectional feature profiles of the rail, thus improving the utilization rate of image information.
另外,本发明将激光视觉传感器测量得到的钢轨断面的特征轮廓基于激光视觉传感器的数学模型,计算出钢轨纵轴轴线;依据垂直于钢轨纵轴轴线的辅助平面,并将测量得到的钢轨断面的特征轮廓投影在辅助平面上,得到投影轮廓。本发明以投影轮廓基准,将标准轮廓与其对齐,以此来计算出钢轨断面内的磨耗值,如此可以消除由激光视觉传感器投射出的光平面与钢轨纵轴轴线不垂直带来的钢轨磨耗测量误差,提高了钢轨磨耗测量的精度。In addition, the present invention calculates the longitudinal axis of the rail based on the characteristic profile of the rail section measured by the laser vision sensor based on the mathematical model of the laser vision sensor; based on the auxiliary plane perpendicular to the longitudinal axis of the rail, the measured The feature contour is projected on the auxiliary plane to obtain the projected contour. The present invention aligns the standard contour with the projected contour benchmark to calculate the wear value in the rail section, which can eliminate the rail wear measurement caused by the non-perpendicularity between the light plane projected by the laser vision sensor and the longitudinal axis of the rail The error improves the accuracy of rail wear measurement.
附图说明 Description of drawings
图1为本发明激光视觉钢轨磨耗测量的纠偏方法流程示意图;Fig. 1 is the schematic flow chart of the deviation correction method of the laser vision rail wear measurement of the present invention;
图2为激光视觉传感器拍摄到的钢轨断面的特征轮廓图像;Fig. 2 is the characteristic contour image of the rail section captured by the laser vision sensor;
图3为激光视觉传感器的数据模型;Fig. 3 is the data model of laser vision sensor;
图4为在二维测量坐标系中确定钢轨轨腰大圆和轨腰小圆切点的示意图;Fig. 4 is a schematic diagram of determining the point of tangency between the large circle of the rail waist and the small circle of the rail waist in the two-dimensional measurement coordinate system;
图5为本发明中钢轨纵轴轴线与钢轨断面的特征轮廓及辅助平面的结构关系示意图;Fig. 5 is a schematic diagram of the structural relationship between the longitudinal axis of the rail and the characteristic profile of the rail section and the auxiliary plane in the present invention;
图6为钢轨断面的投影轮廓和标准轮廓对齐示意图。Fig. 6 is a schematic diagram of the alignment of the projected contour and the standard contour of the rail section.
具体实施方式 Detailed ways
下面结合附图和具体实施例对本发明的技术方案进一步详细阐述。The technical solutions of the present invention will be further elaborated below in conjunction with the accompanying drawings and specific embodiments.
本发明所提供的一种激光视觉钢轨磨耗测量的纠偏方法,如图1所示,主要包括以下步骤:A deviation correction method for laser vision rail wear measurement provided by the present invention, as shown in Figure 1, mainly includes the following steps:
步骤101,使用多线激光视觉传感器采集含有钢轨多个断面特征轮廓的图像,并基于激光视觉传感器的数学模型得到特征轮廓在摄像机坐标系下的三维数据。In
本发明中采用多线激光视觉传感器来测量钢轨内侧轨腰和轨头部分的多个断面,多线激光视觉传感器含有两个或两个以上的光平面投射器,可以投射出相互平行的多个光平面。较佳地,可以采用能投射三个光平面的激光视觉传感器,其中投射出的三个光平面相互平行。激光视觉传感器内的激光投射器对准钢轨内侧投射出光平面,该光平面与钢轨相交,形成钢轨断面,则钢轨断面与光平面重合。经过钢轨断面成像系统成像后,得到钢轨断面的特征轮廓的图像。其中,钢轨断面成像系统主要由摄像机、镜头和图像采集系统构成。In the present invention, a multi-line laser vision sensor is used to measure multiple sections of the inner rail waist and rail head of the rail. The multi-line laser vision sensor contains two or more than two light plane projectors, which can project a plurality of parallel light plane. Preferably, a laser vision sensor capable of projecting three light planes may be used, wherein the three projected light planes are parallel to each other. The laser projector in the laser vision sensor projects a light plane aimed at the inner side of the rail. The light plane intersects with the rail to form a rail section, and the rail section coincides with the light plane. After being imaged by the rail section imaging system, an image of the characteristic outline of the rail section is obtained. Among them, the rail section imaging system is mainly composed of cameras, lenses and image acquisition systems.
需要指出的是,原则上,所述激光视觉传感器内的激光投射器需要对准钢轨内侧垂直于钢轨纵轴轴线投射出光平面,但实际应用时,在激光视觉传感器安装过程中,很难保证其投射出的光平面与钢轨纵轴轴线绝对垂直;另外,激光视觉传感器安装在列车底部,随列车运行时,由于列车的振动也会造成激光视觉传感器投射出的光平面与钢轨纵轴轴线不垂直。鉴于上述的因素,本发明能够基于光平面与钢轨纵轴轴线不垂直的条件来测量钢轨的磨耗,并且可以消除现有技术中由于激光视觉传感器投射出的光平面与钢轨纵轴轴线不垂直带来的钢轨磨耗测量误差。本发明通过后续的处理,可以精确的测量钢轨磨耗。It should be pointed out that, in principle, the laser projector in the laser vision sensor needs to be aligned with the inner side of the rail to project the light plane perpendicular to the longitudinal axis of the rail, but in practical applications, it is difficult to ensure that its The projected light plane is absolutely perpendicular to the longitudinal axis of the rail; in addition, the laser vision sensor is installed at the bottom of the train. When the train is running, the light plane projected by the laser vision sensor is not perpendicular to the longitudinal axis of the rail due to the vibration of the train. . In view of the above factors, the present invention can measure the wear of the rail based on the condition that the optical plane is not perpendicular to the longitudinal axis of the rail, and can eliminate the non-perpendicular band between the optical plane projected by the laser vision sensor and the longitudinal axis of the rail in the prior art. The measurement error of rail wear. The present invention can accurately measure rail wear through subsequent processing.
采用能投射三个相互平行光平面的激光视觉传感器对准钢轨内侧投射出光平面,形成三个钢轨断面,分别为钢轨断面1、钢轨断面2和钢轨断面3。经过钢轨断面成像系统成像后,得到包含三个钢轨断面的特征轮廓的图像,如图2所示,其中,特征轮廓1对应钢轨断面1、特征轮廓2对应钢轨断面2、特征轮廓3对应钢轨断面3,每个特征轮廓都包括轨头轮廓和轨腰轮廓两部分。A laser vision sensor capable of projecting three mutually parallel light planes is used to project light planes on the inner side of the rail to form three rail sections, namely rail section 1,
将特征轮廓的图像,由高速图像采集卡采集到计算机内存,并对图像进行分析,得到特征轮廓在图像坐标系下的坐标,即图像坐标。然后通过激光视觉传感器的数学模型,将所述图像坐标转换到摄像机坐标系中,得到特征轮廓在摄像机坐标系下的三维坐标。The image of the feature contour is collected into the computer memory by a high-speed image acquisition card, and the image is analyzed to obtain the coordinates of the feature contour in the image coordinate system, that is, the image coordinates. Then, through the mathematical model of the laser vision sensor, the image coordinates are transformed into the camera coordinate system to obtain the three-dimensional coordinates of the feature contour in the camera coordinate system.
其中,激光视觉传感器的数学模型如图3所示:摄像机坐标系为oc-xcyczc;图像坐标平面31的图像坐标系为ou-xuyu;光平面30、即由激光投射器对准钢轨内侧投射出的光平面,以光平面30任一点om为原点,建立三维参考坐标系om-xmymzm,令zm=0,则得到光平面的二维测量坐标系为om-xmym。Among them, the mathematical model of the laser vision sensor is shown in Figure 3: the camera coordinate system is o c -x c y c z c ; the image coordinate system of the image coordinate
基于上述激光视觉传感器的数学模型,将特征轮廓的图像坐标依据图像坐标系和摄像机坐标系之间的转换,得到特征轮廓在摄像机坐标下的三维坐标。其中,激光视觉传感器的数学模型中各个坐标系之间的转换可以参考申请号为03142658.1,发明名称为“一种基于平面靶标的结构光视觉传感器标定方法”的中国专利申请。表1、表2、表3分别给出了图2中三个特征轮廓的轨腰轮廓在摄像机坐标系oc-xcyczc下的部分三维坐标数据,单位为毫米(mm)。Based on the above-mentioned mathematical model of the laser vision sensor, the image coordinates of the feature contour are converted between the image coordinate system and the camera coordinate system to obtain the three-dimensional coordinates of the feature contour in the camera coordinates. Among them, the conversion between various coordinate systems in the mathematical model of the laser vision sensor can refer to the Chinese patent application with the application number 03142658.1 and the title of the invention "a calibration method for structured light vision sensors based on planar targets". Table 1, Table 2, and Table 3 respectively give the three-dimensional coordinate data of the rail waist contours of the three characteristic contours in Fig. 2 in the camera coordinate system o c -x cy c z c , and the unit is millimeter (mm).
表1 所示为特征轮廓1轨腰轮廓在摄像机坐标系下的部分三维数据:Table 1 shows part of the three-dimensional data of the feature contour 1 rail waist contour in the camera coordinate system:
表1Table 1
表2 所示为特征轮廓2轨腰轮廓在摄像机坐标系下的部分三维数据:Table 2 shows part of the three-dimensional data of the
表2Table 2
表3 所示为特征轮廓3轨腰轮廓在摄像机坐标系下的部分三维数据:Table 3 shows part of the three-dimensional data of the feature contour 3-track waist contour in the camera coordinate system:
表3table 3
步骤102,在光平面的二维测量坐标系中拟合特征轮廓的轨腰大圆和轨腰小圆;并依据轨腰大圆和轨腰小圆的切点在摄像机坐标系下的三维数据拟合直线,作为钢轨纵轴轴线。
建立钢轨断面的测量坐标系on-xnyn,如图4所示,以钢轨对称轴为yn轴,以轨底为xn轴,AB段轮廓表示钢轨轨腰上的大圆部分轮廓,BC段表示钢轨轨腰上的小圆部分轮廓。B点为所述大圆和小圆的切点。Establish the measurement coordinate system o n -x n y n of the rail section, as shown in Figure 4, take the symmetry axis of the rail as the yn axis, and take the rail bottom as the x n axis, and the profile of section AB represents the profile of the large circle on the rail waist, Section BC represents the outline of the small circle on the rail waist. Point B is the point of tangency between the large circle and the small circle.
由于钢轨断面与图3中光平面30重合,因此上述测量坐标系on-xnyn与图3中光平面的二维测量坐标系om-xmym重合。Since the rail section coincides with the
基于激光视觉传感器的数学模型,通过摄像机坐标系和二维测量坐标系的转换,可以将表1、表2、表3所示轨腰的三维摄像机坐标映射到二维测量坐标系中,得到特征轮廓在光平面上的二维测量坐标。然后,在二维测量坐标系下将特征轮廓的轨腰轮廓分为轨腰大圆和轨腰小圆,并通过半径约束非线性优化方法分别拟合轨腰大圆和轨腰小圆的方程。其中,半径约束非线性优化方法及拟合算法为现有技术,此处不再赘述。Based on the mathematical model of the laser vision sensor, through the conversion of the camera coordinate system and the two-dimensional measurement coordinate system, the three-dimensional camera coordinates of the rail waist shown in Table 1, Table 2, and Table 3 can be mapped to the two-dimensional measurement coordinate system to obtain the characteristics The two-dimensional measurement coordinates of the profile on the light plane. Then, in the two-dimensional measurement coordinate system, the rail waist profile of the characteristic contour is divided into a large rail waist circle and a small rail waist circle, and the equations of the large rail waist circle and the small rail waist circle are respectively fitted by a radius-constrained nonlinear optimization method. Among them, the radius-constrained nonlinear optimization method and fitting algorithm are prior art, and will not be repeated here.
特征轮廓1的轨腰大圆和轨腰小圆在二维测量坐标系中的方程为:The equations of the large rail waist circle and the rail waist small circle of feature profile 1 in the two-dimensional measurement coordinate system are:
轨腰大圆:(x-266.129)2+(y+195.365)2=122500Rail waist great circle: (x-266.129) 2 +(y+195.365) 2 =122500
轨腰小圆:(x+40.363)2+(y+62.060)2=225Rail waist small circle: (x+40.363) 2 +(y+62.060) 2 =225
特征轮廓2的轨腰大圆和轨腰小圆在二维测量坐标系中的方程为:The equations of the large rail waist circle and the rail waist small circle of the
轨腰大圆:(x-255.818)2+(y+170.034)2=122500Rail waist great circle: (x-255.818) 2 +(y+170.034) 2 =122500
轨腰小圆:(x+49.864)2+(y+35.912)2=225Rail waist small circle: (x+49.864) 2 +(y+35.912) 2 =225
特征轮廓3的轨腰大圆和轨腰小圆在二维测量坐标系中的方程为:The equations of the large rail waist circle and the rail waist small circle of the characteristic contour 3 in the two-dimensional measurement coordinate system are:
轨腰大圆:(x-244.819)2+(y+147.468)2=122500Rail waist great circle: (x-244.819) 2 +(y+147.468) 2 =122500
轨腰小圆:(x+59.009)2+(y+8.736)2=225Rail waist small circle: (x+59.009) 2 +(y+8.736) 2 =225
根据上述轨腰大圆和轨腰小圆的方程,可以计算出轨腰大圆和轨腰小圆的切点。特征轮廓1、特征轮廓2和特征轮廓3的轨腰大圆和轨腰小圆切点在二维测量坐标系下的坐标分别为:Q1m(-54.118,-56.078)、Q2m(-63.600,-29.885)、Q3m(-72.654,-2.506)。According to the above equations of the large rail waist circle and the small rail waist circle, the point of tangency between the large rail waist circle and the small rail waist circle can be calculated. The coordinates of the tangent points of the large rail waist circle and the small rail waist circle of feature contour 1,
基于二维测量坐标系和图像坐标系之间的转换,得到三个切点在图像坐标下的坐标为:Q1u(359.410,381.806)、Q2u(459.433,381.008)、Q3u(545.057,376.976)。Based on the conversion between the two-dimensional measurement coordinate system and the image coordinate system, the coordinates of the three tangent points in the image coordinates are: Q1 u (359.410,381.806), Q2 u (459.433,381.008), Q3 u (545.057,376.976 ).
基于图像坐标系和摄像机坐标系之间的转换,得到三个切点在摄像机坐标系下的坐标为:Q1c(-2.569,27.387,410.542)、Q2c(24.995,27.709,418.689)、Q3c(49.848,27.256,429.129)。Based on the conversion between the image coordinate system and the camera coordinate system, the coordinates of the three tangent points in the camera coordinate system are: Q1 c (-2.569, 27.387, 410.542), Q2 c (24.995, 27.709, 418.689), Q3 c (49.848, 27.256, 429.129).
然后,根据三个切点在在摄像机坐标系下的坐标,通过拟合算法得到一条直线,该直线即为钢轨纵轴轴线。其中,通过空间三点拟合直线的算法为现有技术,此处不再赘述。Then, according to the coordinates of the three tangent points in the camera coordinate system, a straight line is obtained through a fitting algorithm, which is the longitudinal axis of the rail. Wherein, the algorithm of fitting a straight line through three points in space is a prior art, and will not be repeated here.
钢轨纵轴轴线方程用点向式表示为:
步骤103,过钢轨纵轴轴线上任意一点作垂直于钢轨纵轴轴线的平面,得到辅助平面。In
较佳地,可以取特征轮廓1在钢轨纵轴轴线上对应的轨腰大圆和轨腰小圆的切点Q1,如图5所示,过Q1作垂直于钢轨纵轴轴线的平面,得到辅助平面F。基于钢轨纵轴轴线的点向式方程或者参数式方程,得到过切点Q1c(-2.569,27.387,410.542)垂直于钢轨纵轴轴线的辅助平面F的方程为:x-0.003y+0.357z-143.789=0。Preferably, the tangent point Q1 of the large circle of the rail waist and the small circle of the rail waist corresponding to the characteristic contour 1 on the longitudinal axis of the rail can be taken, as shown in Figure 5, and a plane perpendicular to the longitudinal axis of the rail is drawn through Q1 to obtain auxiliary Plane F. Based on the point-to-point equation or parametric equation of the longitudinal axis of the rail, the equation of the auxiliary plane F perpendicular to the longitudinal axis of the rail at the tangent point Q1 c (-2.569, 27.387, 410.542) is obtained: x-0.003y+0.357z -143.789=0.
步骤104,以钢轨纵轴轴线方向为投影方向,将特征轮廓投影到辅助平面上,得到钢轨断面的投影轮廓。
将特征轮廓在辅助平面上的投影作为钢轨断面的投影轮廓。The projection of the feature contour on the auxiliary plane is used as the projected contour of the rail section.
依据特征轮廓在摄像机坐标系下的三维数据,通过计算得到投影轮廓在摄像机坐标系下的三维数据。其中,特征轮廓上的点与该点在投影轮廓上的对应点、即投影点的关系为:过特征轮廓上某点作垂直于辅助平面的直线,该直线与辅助平面的交点即为该点在辅助平面上的投影点。则依据该点在摄像机坐标系下的三维坐标可以求得该点的投影点在摄像机坐标系下的坐标。类似的,特征轮廓上其它各点均采用此方法求取在辅助平面上的投影点。所述各个投影点组合起来即为投影轮廓。According to the three-dimensional data of the feature contour in the camera coordinate system, the three-dimensional data of the projected contour in the camera coordinate system are obtained through calculation. Among them, the relationship between a point on the feature contour and its corresponding point on the projected contour, i.e. the projected point, is: draw a straight line perpendicular to the auxiliary plane through a certain point on the characteristic contour, and the intersection of the straight line and the auxiliary plane is the point Projection point on construction plane. Then, according to the three-dimensional coordinates of the point in the camera coordinate system, the coordinates of the projected point of the point in the camera coordinate system can be obtained. Similarly, other points on the feature contour use this method to obtain the projection points on the auxiliary plane. The combination of the various projection points is the projection contour.
表4、表5和表6所示为图2中各钢轨断面的轨腰轮廓对应的投影轮廓在摄像机坐标系下的三维数据。特征轮廓1对应投影轮廓1、特征轮廓2对应投影轮廓2、特征轮廓3对应投影轮廓3。Table 4, Table 5 and Table 6 show the three-dimensional data of the projected contour corresponding to the rail waist contour of each rail section in Fig. 2 in the camera coordinate system. Feature profile 1 corresponds to projected profile 1, feature
表4 所示为投影轮廓1的轨腰轮廓在摄像机坐标系下的三维数据:Table 4 shows the three-dimensional data of the rail waist profile of projected profile 1 in the camera coordinate system:
表4Table 4
表5 所示为投影轮廓2的轨腰轮廓在摄像机坐标系下的三维数据:Table 5 shows the three-dimensional data of the rail waist profile of projected
表5table 5
表6 所示为投影轮廓3的轨腰轮廓在摄像机坐标系下的三维数据:Table 6 shows the three-dimensional data of the rail waist profile of projected profile 3 in the camera coordinate system:
表6Table 6
步骤105:以钢轨断面的投影轮廓的轨腰轮廓为基准,将钢轨断面的投影轮廓与标准轮廓对齐,从而计算出钢轨断面的磨耗值。Step 105: Aligning the projected profile of the rail section with the standard profile based on the waist profile of the projected profile of the rail section, thereby calculating the wear value of the rail section.
所谓标准轮廓,是指在钢轨没有磨耗,且规格正规的条件下,钢轨横断面的标准几何轮廓。由于钢轨在使用中的磨耗主要发生在轨头部分,而轨腰部分基本不会磨损,因此,本发明在辅助平面上将钢轨断面的投影轮廓和标准轮廓的轨腰轮廓进行对齐,然后计算轨头轮廓的各个磨耗值、包括水平磨耗值和垂直磨耗值。The so-called standard profile refers to the standard geometric profile of the cross-section of the rail under the condition that the rail has no wear and the specifications are regular. Since the wear of the rail in use mainly occurs at the rail head part, and the rail waist part is basically not worn, therefore, the present invention aligns the projected profile of the rail section with the rail waist profile of the standard profile on the auxiliary plane, and then calculates the Individual wear values for the head profile, including horizontal wear values and vertical wear values.
如图6所示为钢轨断面的投影轮廓和标准轮廓对齐示意图,G点为水平磨耗测量点,H点为垂直磨耗测量点。根据《铁道线路维修规则》规定,G点位于标准断面距钢轨顶面16mm处,H点位于钢轨顶面宽1/3处。将钢轨断面的投影轮廓与标准轮廓以轨腰轮廓为基准对齐,即可求出钢轨断面的垂直磨耗值Wv、水平磨耗值Wh。Figure 6 is a schematic diagram of the alignment of the projected profile and the standard profile of the rail section. Point G is the horizontal wear measurement point, and H point is the vertical wear measurement point. According to the "Railway Line Maintenance Rules", point G is located at a distance of 16mm from the top surface of the rail on the standard section, and point H is located at 1/3 of the width of the top surface of the rail. By aligning the projected profile of the rail section with the standard profile and taking the rail waist profile as the benchmark, the vertical wear value W v and the horizontal wear value W h of the rail section can be obtained.
具体的,如图6所示,垂直磨耗值Wv为钢轨断面标准轮廓的垂直磨耗测量点H在垂直方向上到投影轮廓的距离;水平磨耗值Wh为钢轨断面标准轮廓的水平磨耗测量点G在水平方向上到投影轮廓的距离。Specifically, as shown in Figure 6, the vertical wear value W v is the distance from the vertical wear measurement point H of the standard profile of the rail section to the projected profile in the vertical direction; the horizontal wear value W h is the horizontal wear measurement point of the standard profile of the rail section G is the distance from the projected contour in the horizontal direction.
基于摄像机坐标系和光平面的二维测量坐标系之间的转换,得到投影轮廓在光平面上的二维测量坐标数据;由于光平面与辅助平面之间的夹角已知,因此可以通过余弦计算得出投影轮廓在辅助平面上的坐标数据。则将投影轮廓与标准轮廓以轨腰轮廓为基准对齐后,可以得出标准轮廓上垂直磨耗测量点和水平磨耗测量点的坐标,从而得出三个钢轨断面的磨耗值为:Based on the conversion between the camera coordinate system and the two-dimensional measurement coordinate system of the light plane, the two-dimensional measurement coordinate data of the projection profile on the light plane is obtained; since the angle between the light plane and the auxiliary plane is known, it can be calculated by cosine Obtain the coordinate data of the projected contour on the auxiliary plane. Then, after aligning the projected contour and the standard contour with the rail waist contour as the reference, the coordinates of the vertical wear measurement point and the horizontal wear measurement point on the standard contour can be obtained, thereby obtaining the wear values of the three rail sections:
钢轨断面1:垂直磨耗值:3.862mm,水平磨耗值:-1.550mm;Rail section 1: vertical wear value: 3.862mm, horizontal wear value: -1.550mm;
钢轨断面2:垂直磨耗值:3.894mm,水平磨耗值:-1.696mm;Rail section 2: vertical wear value: 3.894mm, horizontal wear value: -1.696mm;
钢轨断面3:垂直磨耗值:3.840mm,水平磨耗值:-1.716mm。Rail section 3: vertical wear value: 3.840mm, horizontal wear value: -1.716mm.
以上所述,仅为本发明的较佳实施例而已,并非用于限定本发明的保护范围。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the protection scope of the present invention.
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