CN115307571B - A Pose Calibration Part and Calibration Method for a Planar Line Laser Sensor - Google Patents

A Pose Calibration Part and Calibration Method for a Planar Line Laser Sensor Download PDF

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CN115307571B
CN115307571B CN202210745580.1A CN202210745580A CN115307571B CN 115307571 B CN115307571 B CN 115307571B CN 202210745580 A CN202210745580 A CN 202210745580A CN 115307571 B CN115307571 B CN 115307571B
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calibration piece
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CN115307571A (en
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石照耀
李美川
孙衍强
于渤
吕浩
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Beijing University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/02Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
    • G01B21/04Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness by measuring coordinates of points
    • G01B21/042Calibration or calibration artifacts
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/24Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
    • G01B11/2416Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures of gears

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  • General Physics & Mathematics (AREA)
  • Length Measuring Devices With Unspecified Measuring Means (AREA)
  • Length Measuring Devices By Optical Means (AREA)

Abstract

本发明公开了一种平面式线激光传感器位姿标定件及标定方法,基于现有齿轮测量中心建立非接触式三维齿轮测量系统,实现对线结构光传感器位姿标定件的设计及标定方法确认。几何特征的位姿标定件,是一个柱状中心旋转结构体,其具体包含了平面I,外圆柱面I,V型槽,外圆柱面II,平面II,下端面,上端面,平面III,内圆柱面。各几何特征具有一定精度的形状误差要求,各几何特征之间具有一定精度的位置误差要求,满足几何特征的精度加工需求。与齿轮测量中心测量工艺相结合,标定操作简单易行,可实现线激光传感器的精确标定。标定方法利用最小二乘对直线的拟合技术成熟,精度较高,能够真实反映实际坐标数值的相互关系。

The invention discloses a plane type line laser sensor pose calibration part and a calibration method. Based on the existing gear measurement center, a non-contact three-dimensional gear measurement system is established to realize the design of the line structured light sensor pose calibration part and the confirmation of the calibration method. The pose calibration part of geometric features is a cylindrical central rotating structure, which specifically includes plane I, outer cylindrical surface I, V-shaped groove, outer cylindrical surface II, plane II, lower end surface, upper end surface, plane III, and inner cylindrical surface. Each geometric feature has a certain precision shape error requirement, and a certain precision position error requirement between each geometric feature, which meets the precision machining requirements of geometric features. Combined with the measurement process of the gear measurement center, the calibration operation is simple and easy, and the accurate calibration of the line laser sensor can be realized. The calibration method uses the least squares to fit the straight line with mature technology, high precision, and can truly reflect the relationship between the actual coordinate values.

Description

一种平面式线激光传感器位姿标定件及标定方法A Pose Calibration Part and Calibration Method for a Planar Line Laser Sensor

技术领域technical field

本发明涉及一种线激光传感器位姿标定件及其标定方法,特别是涉及一种用于齿轮三维测量的线激光传感器空间位姿标定件及其标定方法,属于精密测量技术领域。The invention relates to a line laser sensor pose calibration part and a calibration method thereof, in particular to a line laser sensor space pose calibration part and a calibration method for three-dimensional measurement of gears, and belongs to the technical field of precision measurement.

背景技术Background technique

传统的齿轮测量多采用接触式测量方式,其存在以下不足点:1、测量效率低,难以在短时间之内实现所需轮齿齿面信息的获取。2、仅以部分轮齿齿面的点、线等特定信息来评判整体齿轮,无法获取齿面的全信息,评价不全面。3、接触式测头存在磨损、半径补偿等问题。相比较,非接触齿轮激光测量方法具有明显优势,极大提高了测量效率,可获取快速所有轮齿的齿面全信息。The traditional gear measurement mostly adopts the contact measurement method, which has the following disadvantages: 1. The measurement efficiency is low, and it is difficult to obtain the required tooth surface information in a short time. 2. The overall gear is judged only by specific information such as points and lines on the tooth surface of some gears, and the full information of the tooth surface cannot be obtained, and the evaluation is not comprehensive. 3. There are problems such as wear and radius compensation of the contact probe. In comparison, the non-contact gear laser measurement method has obvious advantages, which greatly improves the measurement efficiency and can quickly obtain full information on the tooth surface of all gear teeth.

线激光测量作为一种典型的非接触式测量技术,广泛应用于产品形貌、尺寸测量领域,具有快速、高精度、高效率、操作便捷、无损耗等特点。线激光传感器的诸多优势方便了工业应用,其高度封装降低了对操作人员的技术要求,更加简单、便捷地实现对被测物体的精密测量。As a typical non-contact measurement technology, line laser measurement is widely used in the field of product shape and size measurement, and has the characteristics of fast, high precision, high efficiency, convenient operation, and no loss. The many advantages of the line laser sensor facilitate industrial applications, and its high packaging reduces the technical requirements for operators, making it easier and more convenient to achieve precise measurement of the measured object.

线激光测量为比对式测量技术,在进行物体表面信息精密测量前,精确标定线激光传感器与被测物体的空间位姿关系显得尤为重要,也是实现精确三维信息重构的重要前提。对于齿轮这一类型的旋转式结构体,线激光传感器的标定一般是借助于结构简单的标准芯轴或具有复杂几何特征的特制标定件来完成。基于结构简单的标准芯轴的标定方法,需要累积多次小样本数据进行拟合运算,且标定过程中需要对传感器进行多次位姿调节,过程中不可避免的引入了多源误差;基于特制复杂几何特征标定件的标定方法,对标定件的加工及精度要求带来很大的挑战。Line laser measurement is a comparative measurement technology. Before precise measurement of object surface information, it is particularly important to accurately calibrate the spatial pose relationship between the line laser sensor and the measured object, and it is also an important prerequisite for accurate 3D information reconstruction. For a rotating structure such as a gear, the calibration of a line laser sensor is generally accomplished by means of a standard mandrel with a simple structure or a special calibration piece with complex geometric features. The calibration method based on the standard mandrel with a simple structure needs to accumulate multiple small sample data for fitting calculations, and the sensor needs to be adjusted multiple times during the calibration process, which inevitably introduces multi-source errors in the process; the calibration method based on the calibration of special complex geometric features brings great challenges to the processing and accuracy requirements of the calibration components.

基于上述的现状和问题,提出了一种用于齿轮测量的线激光传感器位姿标定件及其标定方法,本专利针对齿轮类型的柱状旋转式结构体,以特定的圆柱面、平面、槽型结构来实现线激光传感器的精确位姿标定。Based on the above-mentioned status quo and problems, a line laser sensor pose calibration component for gear measurement and its calibration method are proposed. This patent is aimed at gear-type cylindrical rotating structures, and uses specific cylindrical, plane, and groove structures to achieve accurate pose calibration of line laser sensors.

发明内容Contents of the invention

本发明的目的是针对现有的齿轮测量过程中线激光传感器的位姿标定问题,提供一种用于齿轮测量的线激光传感器位姿标定件及标定方法。The object of the present invention is to provide a line laser sensor pose calibration component and a calibration method for gear measurement, aiming at the problem of the pose calibration of the line laser sensor in the existing gear measurement process.

本发明所涉及的线激光传感器位姿标定件,包括中心旋转结构体,所述中心旋转结构体的上下端面为平整结构;所述中心旋转结构体的侧面设有多个特定几何形状单元,每个结构单元包括外圆柱面I(2)、V型槽(3)和外圆柱面II(4),所述的V型槽(3)设置在外圆柱面I(2)与外圆柱面II(4)中间,外圆柱面I(2)和外圆柱面II(4)上下对称布置;各个结构单元之间设有竖直断面结构,竖直断面结构为中心旋转结构体的侧面竖直结构面;中心旋转结构体的中间设有内圆柱面(9);如图1所示,所述的竖直断面结构包括平面I(1)、平面II(5)和平面III(9);下端面(6)和上端面(7)为中心旋转结构体的上下端面。The line laser sensor pose calibration part involved in the present invention includes a central rotating structure whose upper and lower end surfaces are flat structures; the side of the central rotating structure is provided with a plurality of specific geometrical units, each structural unit includes an outer cylindrical surface I (2), a V-shaped groove (3) and an outer cylindrical surface II (4), and the V-shaped groove (3) is arranged between the outer cylindrical surface I ( 2 ) and the outer cylindrical surface II ( 4 ), and the outer cylindrical surface I ( 2 ) and the outer cylindrical surface II ( 4 ) are symmetrically arranged up and down; A vertical section structure is provided between the structural units, and the vertical section structure is the side vertical structural surface of the central rotating structure; the middle of the central rotating structure is provided with an inner cylindrical surface (9); as shown in Figure 1, the vertical section structure includes plane I (1), plane II (5) and plane III (9); the lower end surface (6) and the upper end surface (7) are the upper and lower end surfaces of the central rotating structure.

上述标定件满足以下设计要求:The above calibration parts meet the following design requirements:

S1:内圆柱面(9)为标定件的定位基准,对其尺寸和形位公差有严格要求,其与被测齿轮具有一致的孔径尺寸(图5),为实现径向定位精度的准确性要求内圆面的圆柱度为0.3μm。S1: The inner cylindrical surface (9) is the positioning datum of the calibration part, which has strict requirements on its size and shape tolerance. It has the same aperture size as the gear under test (Fig. 5). In order to achieve the accuracy of radial positioning accuracy, the cylindricity of the inner cylindrical surface is required to be 0.3 μm.

S2:平面I(1)、平面II(5)、平面III(8)具有相同的平面结构,保证独立平面度为1μm,它们相对于中心轴的距离有一致性(图2、图5)并与待测齿轮的齿根圆直径尺寸相关;平面I(1)、平面II(5)、平面III(8)均相对于下端面(6)垂直度为1μm;平面I(1)与平面III(8)平行度1μm;平面I(1)与平面III(8)关于中心线对称度1μm;平面II(5)与平面I(1)、平面III(8)相互垂直度为1μm。S2: Plane I(1), Plane II(5), and Plane III(8) have the same plane structure, ensuring that the independent flatness is 1 μm, and their distances from the central axis are consistent (Fig. 2, Fig. 5) and are related to the diameter of the root circle of the gear to be tested; Plane I(1), Plane II(5), and Plane III(8) are all 1 μm perpendicular to the lower end face (6); the parallelism between Plane I(1) and Plane III(8) is 1 μm; Plane I(1) and Plane III (8) The symmetry about the center line is 1 μm; the perpendicularity between plane II (5), plane I (1), and plane III (8) is 1 μm.

S3:外圆柱面I(2)、外圆柱面II(4)具有一致的圆柱度0.3μm;总体尺寸与待测齿轮的齿顶圆相关联(图2、图5);与标定件的定位基准内圆面(9)同轴度为1μm。S3: The outer cylindrical surface I (2) and the outer cylindrical surface II (4) have a consistent cylindricity of 0.3 μm; the overall size is related to the addendum circle of the gear to be tested (Figure 2, Figure 5); the coaxiality with the positioning reference inner circular surface (9) of the calibration piece is 1 μm.

S4:V型槽(3)将外圆面分成了外圆面I(2)和外圆面II(4),V型槽的两侧锥面全跳动为1μm;V型槽具有特定的宽度值,根据待测齿轮参数确定。S4: The V-shaped groove (3) divides the outer circular surface into the outer circular surface I (2) and the outer circular surface II (4). The total runout of the tapered surfaces on both sides of the V-shaped groove is 1 μm; the V-shaped groove has a specific width value, which is determined according to the parameters of the gear to be tested.

S5:下端面(6)、上端面(7)为标定件的辅助基准面,分别独立具有平面度1μm;两个平面与标定件的定位基准内圆柱面(9)具有垂直度为1μm;两个平面相互平行且平面度为1μm;两个平面间的尺寸与被测齿轮的齿宽相互关联(图4、图5)。S5: The lower end surface (6) and the upper end surface (7) are the auxiliary reference planes of the calibration piece, each independently having a flatness of 1 μm; the two planes have a perpendicularity of 1 μm to the inner cylindrical surface (9) of the positioning reference of the calibration piece; the two planes are parallel to each other and the flatness is 1 μm; the dimension between the two planes is related to the tooth width of the measured gear (Figure 4, Figure 5).

本发明基于上述标定件,设计了一种用于齿轮测量的线激光传感器空间位姿标定方法,具体步骤如下:Based on the above-mentioned calibration parts, the present invention designs a method for calibrating the space pose of a line laser sensor for gear measurement. The specific steps are as follows:

S1:标定系统的坐标系建立。S1: The coordinate system of the calibration system is established.

建立如图6所示的标定系统坐标系,包括:标定件坐标系δc:Oc-XcYcZc和传感器坐标系δs:Os-XsYsZs。其中,δc为标定件坐标系的标号,Oc为标定件坐标系的原点,Xc、Yc、Zc为标定件坐标系的三个坐标轴。δs为传感器坐标系的标号,Os为传感器坐标系的原点,Xs、Ys、Zs为传感器坐标系的三个坐标轴。传感器布置在标定件的周向,传感器坐标系原点Os相对于标定件坐标系原点Oc在标定件坐标系三个坐标轴方向的偏置分别为a、b、c。传感器坐标系的三个坐标轴Xs、Ys、Zs相对于标定件坐标系三个坐标轴Xc、Yc、Zc的偏转角分别为α、β、γ。因此,a、b、c、α、β、γ构成了传感器在标定件坐标系下的六个自由度参数,传感器的空间位姿标定,也就是标定这六个自由度参数。Establish the coordinate system of the calibration system as shown in Figure 6, including: calibration piece coordinate system δ c : O c -X c Y c Z c and sensor coordinate system δ s : O s -X s Y s Z s . Among them, δ c is the label of the calibration piece coordinate system, O c is the origin of the calibration piece coordinate system, and X c , Y c , Z c are the three coordinate axes of the calibration piece coordinate system. δ s is the label of the sensor coordinate system, O s is the origin of the sensor coordinate system, X s , Y s , Z s are the three coordinate axes of the sensor coordinate system. The sensor is arranged in the circumferential direction of the calibration piece, and the offsets of the origin O s of the sensor coordinate system relative to the origin O c of the calibration piece coordinate system in the direction of the three coordinate axes of the calibration piece coordinate system are a, b, and c, respectively. The deflection angles of the three coordinate axes X s , Y s , and Z s of the sensor coordinate system relative to the three coordinate axes X c , Y c , and Z c of the calibration piece coordinate system are α, β, and γ, respectively. Therefore, a, b, c, α, β, and γ constitute the six degrees of freedom parameters of the sensor in the coordinate system of the calibration piece, and the space pose calibration of the sensor is to calibrate these six degrees of freedom parameters.

S2:标定数据获取及坐标变换。S2: Calibration data acquisition and coordinate transformation.

根据S1建立的坐标系及坐标关系,将标定件安装在测量仪器主轴上,标定件能够随主轴给定的速度做回转运动,测量仪器的主轴回转信号作为触发信号触发传感器进行数据采集,获取到标定件表面在传感器坐标系下的点云信息{Ds}。根据S1的坐标关系,由公式(1)得到标定件在标定件坐标系下的点云信息{Dc}。According to the coordinate system and coordinate relationship established by S1, the calibration piece is installed on the main shaft of the measuring instrument. The calibration piece can rotate with the given speed of the main shaft. The main shaft rotation signal of the measuring instrument is used as a trigger signal to trigger the sensor to collect data, and the point cloud information {D s } on the surface of the calibration piece in the sensor coordinate system is obtained. According to the coordinate relationship of S1, the point cloud information {D c } of the calibration piece in the calibration piece coordinate system is obtained from the formula (1).

Dc=M·Ds (1)D c = M·D s (1)

其中,M为传感器坐标系与标定件坐标系之间的变换矩阵,它与传感器空间位姿的六个自由度参数a、b、c、α、β、γ相关。Among them, M is the transformation matrix between the sensor coordinate system and the calibration part coordinate system, which is related to the six degrees of freedom parameters a, b, c, α, β, γ of the sensor space pose.

S3:标定特征提取。S3: Calibration feature extraction.

根据S2获取到的标定件的点云信息{Dc:xc,yc,zc},可根据几何特征将标定件信息提取为圆柱面点云信息{Dc-Y:xc-Y,yc-Y,zc-Y}、平面点云信息{Dc-P:xc-P,yc-P,zc-P}和V型槽点云信息{Dc-V:xc-V,yc-V,zc-V},如图7所示。每一个特征信息里都包含有传感器空间位姿的六个自由度参数a、b、c、α、β、γ。其中,xc,yc,zc分别为标定件点云信息在空间中的三维坐标值,xc-Y,yc-Y,zc-Y分别为标定件的圆柱面点云信息在空间中的三维坐标值,xc-P,yc-P,zc-P分别为标定件的平面点云信息在空间中的三维坐标值,xc-V,yc-V,zc-V分别为标定件的V型槽点云信息在空间中的三维坐标值。According to the point cloud information of the calibration piece obtained in S2 {D c : x c , y c , z c }, the calibration piece information can be extracted according to the geometric features as cylindrical point cloud information {D cY : x cY , y cY , z cY }, plane point cloud information {D cP : x cP , y cP , z cP } and V-shaped groove point cloud information {D cV : x cV , y cV , z cV } , as shown in Figure 7. Each feature information contains six degrees of freedom parameters a, b, c, α, β, γ of the sensor space pose. Among them, x c , y c , z c are the three-dimensional coordinate values of the point cloud information of the calibration piece in space, x cY , y cY , z cY are the three-dimensional coordinate values of the cylindrical surface point cloud information of the calibration piece in space, x cP , y cP , z cP are the three-dimensional coordinate values of the plane point cloud information of the calibration piece in space, x cV , y cV , z c -V are the three-dimensional coordinate values of the V-shaped groove point cloud information of the calibration piece in space coordinate value.

S4:六个自由度参数的标定。S4: Calibration of six degrees of freedom parameters.

根据S3提取到的标定件特征信息,逐一确定传感器空间位姿的六个自由度参数。According to the characteristic information of the calibration piece extracted by S3, the parameters of the six degrees of freedom of the sensor space pose are determined one by one.

首先,根据S3提取到的圆柱面点云信息{Dc-Y:xc-Y,yc-Y,zc-Y},由公式(2)使用最小二乘拟合优化程序,确定传感器空间位姿的两个偏转角度α、β。First, according to the cylindrical surface point cloud information {D cY : x cY , y cY , z cY } extracted by S3, the two deflection angles α and β of the sensor space pose are determined by formula (2) using the least squares fitting optimization program.

其中,r0为标定件外圆柱的半径。Among them, r 0 is the radius of the outer cylinder of the calibration piece.

然后,根据S3提取到的平面点云信息{Dc-P:xc-P,yc-P,zc-P},由公式(3)使用最小二乘拟合优化程序进行两次优化,第一次优化的结果作为第二次优化的初值进行优化修正,可确定传感器空间位姿的一个角度参数γ和两个位置参数a、b。Then, according to the planar point cloud information {D cP : x cP , y c -P, z c -P} extracted by S3, two optimizations are performed using the least squares fitting optimization program by formula (3). The result of the first optimization is used as the initial value of the second optimization for optimization correction, and an angle parameter γ and two position parameters a and b of the sensor space pose can be determined.

min{∑|xc-Pcosθ0+yc-Psinθ0-rf|} (3)min{∑|x cP cosθ 0 +y cP sinθ 0 -r f |} (3)

其中,rf为标定件平面与被测齿轮齿根圆相关的参数,为被测齿轮齿根圆半径;θ0为标定件平面的初始位置角。Among them, r f is the parameter related to the plane of the calibration piece and the root circle of the gear under test, and is the radius of the dedendum circle of the gear under test; θ 0 is the initial position angle of the plane of the calibration piece.

最后,根据S3提取到的V型槽点云信息{Dc-V:xc-V,yc-V,zc-V},由公式(4)确定V型槽两锥面的交线位置,进而可确定传感器空间位姿的最后一个位置参数c。Finally, according to the V-groove point cloud information {D cV : x cV , y cV , z cV } extracted by S3, the intersection position of the two cone surfaces of the V-groove is determined by formula (4), and then the last position parameter c of the sensor space pose can be determined.

zc-V=zs+c (4)z cV =z s +c (4)

至此,线激光传感器空间位姿关系确认,完成标定。So far, the spatial pose relationship of the line laser sensor is confirmed, and the calibration is completed.

本发明提供一种用于齿轮三维测量的线激光传感器空间位姿标定件及标定方法,具有如下特征:The invention provides a line laser sensor space pose calibration component and calibration method for three-dimensional measurement of gears, which has the following characteristics:

1、该标定件整体结构简单,现有的加工制造工艺能够很好的满足几何特征高精度的加工需求。1. The overall structure of the calibration piece is simple, and the existing manufacturing technology can well meet the processing requirements of high-precision geometric features.

2、齿轮测量中心测量工艺相结合,标定操作简单易行,可实现线激光传感器的精确标定。2. The gear measurement center is combined with the measurement process, the calibration operation is simple and easy, and the precise calibration of the line laser sensor can be realized.

3、标定方法利用最小二乘对直线的拟合技术成熟,精度较高,能够真实反映实际坐标数值的相互关系。3. The calibration method uses the least squares to fit the straight line with mature technology and high precision, which can truly reflect the relationship between the actual coordinate values.

附图说明Description of drawings

图1标定件的整体结构图Figure 1 The overall structure of the calibration parts

图2标定件的俯视结构图Figure 2 Top view structure diagram of the calibration piece

图3标定件的YOZ平面剖视结构图Figure 3 The YOZ plane cross-sectional structure diagram of the calibration piece

图4标定件与待测齿轮产品的结构对比图Figure 4 Structural comparison between the calibration piece and the gear product to be tested

图5标定件与待测齿轮产品YOZ平面剖视结构对比图Figure 5 Comparison of the YOZ plane section structure between the calibration piece and the gear product to be tested

图6标定系统的坐标系建立示意图Figure 6 Schematic diagram of establishing the coordinate system of the calibration system

图7(a)标定件点云信息Figure 7(a) Calibration piece point cloud information

图7(b)标定件外圆柱面点云信息Figure 7(b) Point cloud information of the outer cylindrical surface of the calibration piece

图7(c)标定件平面点云信息Figure 7(c) Planar point cloud information of the calibration piece

图7(d)标定件V型槽点云信息Figure 7(d) V-groove point cloud information of the calibration piece

图中:1、平面I,2、外圆柱面I,3、V型槽,4、外圆柱面II,5,平面II,6、下端面,7、上端面,8、平面III,9、内圆柱面,I、标定件,II、对比齿轮In the figure: 1, plane I, 2, outer cylindrical surface I, 3, V-shaped groove, 4, outer cylindrical surface II, 5, plane II, 6, lower end surface, 7, upper end surface, 8, plane III, 9, inner cylindrical surface, I, calibration piece, II, comparison gear

具体实施方式Detailed ways

下面结合附图及加工实例对本发明进一步说明。Below in conjunction with accompanying drawing and processing example the present invention is further described.

本发明所涉及的线激光传感器空间位姿标定件,包括中心旋转结构体,所述中心旋转结构体的上下端面为平整结构;所述中心旋转结构体的侧面设有多个特定几何形状单元,每个结构单元包括外圆柱面I(2)、V型槽(3)和外圆柱面II(4),所述的V型槽(3)设置在外圆柱面I(2)与外圆柱面II(4)中间,外圆柱面I(2)和外圆柱面II(4)上下对称布置;各个结构单元之间设有竖直断面结构,竖直断面结构为中心旋转结构体的侧面竖直结构面;中心旋转结构体的中间设有内圆柱面(9);如图1所示,所述的竖直断面结构包括平面I(1)、平面II(5)和平面III(9);下端面(6)和上端面(7)为中心旋转结构体的上下端面。The space pose calibration part of the line laser sensor involved in the present invention comprises a central rotating structure, the upper and lower end surfaces of the central rotating structure are flat structures; the side of the central rotating structure is provided with a plurality of specific geometric units, each structural unit includes an outer cylindrical surface I (2), a V-shaped groove (3) and an outer cylindrical surface II (4), and the V-shaped groove (3) is arranged between the outer cylindrical surface I ( 2 ) and the outer cylindrical surface II ( 4 ), and the outer cylindrical surface I ( 2 ) and the outer cylindrical surface II ( 4 ) are symmetrically arranged up and down; Each structural unit is provided with a vertical section structure, and the vertical section structure is the side vertical structural surface of the central rotating structure; the middle of the central rotating structure is provided with an inner cylindrical surface (9); as shown in Figure 1, the vertical section structure includes plane I (1), plane II (5) and plane III (9); the lower end surface (6) and the upper end surface (7) are the upper and lower end surfaces of the central rotating structure.

本发明所涉及标定件的内圆柱面(9)为标定件的定位基准,对其尺寸和形位公差有严格要求,其与被测齿轮具有一致的孔径尺寸(图5),为实现径向定位精度的准确性要求内圆面的圆柱度为0.3μm。The inner cylindrical surface (9) of the calibration piece involved in the present invention is the positioning reference of the calibration piece, and has strict requirements on its size and shape and position tolerance. It has the same aperture size as the gear to be tested (Fig. 5). To achieve the accuracy of the radial positioning accuracy, the cylindricity of the inner circular surface is required to be 0.3 μm.

本发明所涉及标定件的平面I(1)、平面II(5)、平面III(8)具有相同的平面结构,保证独立平面度为1μm,它们相对于中心轴的距离有一致性(图2、图5)并与待测齿轮的齿根圆直径尺寸相关;平面I(1)、平面II(5)、平面III(8)均相对于下端面(6)垂直度为1μm;平面I(1)与平面III(8)平行度1μm;平面I(1)与平面III(8)关于中心线对称度1μm;平面II(5)与平面I(1)、平面III(8)相互垂直度为1μm。The plane I (1), plane II (5), and plane III (8) of the calibration piece involved in the present invention have the same plane structure, ensuring that the independent flatness is 1 μm, and their distances with respect to the central axis are consistent (Figure 2, Figure 5) and are related to the diameter of the dedendum circle of the gear to be measured; the plane I (1), plane II (5), and plane III (8) are all 1 μm perpendicular to the lower end face (6); the parallelism between plane I (1) and plane III (8) is 1 μm; plane I ( 1) The symmetry with plane III(8) about the center line is 1 μm; the mutual perpendicularity between plane II(5) and plane I(1) and plane III(8) is 1 μm.

本发明所涉及标定件的外圆柱面I(2)、外圆柱面II(4)具有一致的圆柱度0.3μm;总体尺寸与待测齿轮的齿顶圆相关联(图2、图5);与标定件的定位基准内圆柱面(9)同轴度为1μm。The outer cylindrical surface I (2) and outer cylindrical surface II (4) of the calibration piece involved in the present invention have a consistent cylindricity of 0.3 μm; the overall size is associated with the addendum circle of the gear to be tested (Figure 2, Figure 5); the coaxiality with the positioning reference inner cylindrical surface (9) of the calibration piece is 1 μm.

本发明所涉及标定件的V型槽(3)在标定件外圆柱面加工成型,将外圆柱面分成了外圆柱面I(2)和外圆柱面II(4),V型槽的两侧锥面全跳动为1μm;V型槽具有特定的宽度值,根据齿轮参数确定。The V-shaped groove (3) of the calibration piece involved in the present invention is processed and formed on the outer cylindrical surface of the calibration piece, and the outer cylindrical surface is divided into the outer cylindrical surface I (2) and the outer cylindrical surface II (4). The full run-out of the tapered surfaces on both sides of the V-shaped groove is 1 μm; the V-shaped groove has a specific width value, which is determined according to the gear parameters.

本发明所涉及标定件的下端面(6)、上端面(7)为标定件的辅助基准面,分别独立具有平面度1μm;两个平面与标定件的定位基准内圆面(9)具有垂直度为1μm;两个平面相互平行,具有平面度为1μm;两个平面间的尺寸与被测齿轮的齿宽相互关联(图4、图5)。The lower end surface (6) and the upper end surface (7) of the calibration piece involved in the present invention are the auxiliary reference planes of the calibration piece, respectively independently having a flatness of 1 μm; the two planes and the positioning reference inner circular surface (9) of the calibration piece have a perpendicularity of 1 μm; the two planes are parallel to each other, and have a flatness of 1 μm; the size between the two planes is correlated with the tooth width of the measured gear (Fig. 4, Fig. 5).

以上为本发明标定件的具体实施方式。The above is the specific implementation manner of the calibration piece of the present invention.

本发明还涉及关于标定件的具体标定方法,该方法的具体步骤如下:The present invention also relates to a specific calibration method about the calibration piece, and the specific steps of the method are as follows:

S1.建立线激光传感器与标定件的位置模型:S1. Establish the position model of the line laser sensor and the calibration piece:

建立如图6所示的标定系统坐标系,包括:标定件坐标系δc:Oc-XcYcZc和传感器坐标系δs:Os-XsYsZs。其中,δc为标定件坐标系的标号,Oc为标定件坐标系的原点,Xc、Yc、Zc为标定件坐标系的三个坐标轴。δs为传感器坐标系的标号,Os为传感器坐标系的原点,Xs、Ys、Zs为传感器坐标系的三个坐标轴。传感器布置在标定件的周向,传感器坐标系原点Os相对于标定件坐标系原点Oc在标定件坐标系三个坐标轴方向的偏置分别为a、b、c。传感器坐标系的三个坐标轴Xs、Ys、Zs相对于标定件坐标系三个坐标轴Xc、Yc、Zc的偏转角分别为α、β、γ。因此,a、b、c、α、β、γ构成了传感器在标定件坐标系下的六个自由度参数,传感器的空间位姿标定,也就是标定这六个自由度参数。Establish the coordinate system of the calibration system as shown in Figure 6, including: calibration piece coordinate system δ c : O c -X c Y c Z c and sensor coordinate system δ s : O s -X s Y s Z s . Among them, δ c is the label of the calibration piece coordinate system, O c is the origin of the calibration piece coordinate system, and X c , Y c , Z c are the three coordinate axes of the calibration piece coordinate system. δ s is the label of the sensor coordinate system, O s is the origin of the sensor coordinate system, X s , Y s , Z s are the three coordinate axes of the sensor coordinate system. The sensor is arranged in the circumferential direction of the calibration piece, and the offsets of the origin O s of the sensor coordinate system relative to the origin O c of the calibration piece coordinate system in the direction of the three coordinate axes of the calibration piece coordinate system are a, b, and c, respectively. The deflection angles of the three coordinate axes X s , Y s , and Z s of the sensor coordinate system relative to the three coordinate axes X c , Y c , and Z c of the calibration piece coordinate system are α, β, and γ, respectively. Therefore, a, b, c, α, β, and γ constitute the six degrees of freedom parameters of the sensor in the coordinate system of the calibration piece, and the space pose calibration of the sensor is to calibrate these six degrees of freedom parameters.

S2:标定数据获取及坐标变换。S2: Calibration data acquisition and coordinate transformation.

根据S1建立的坐标系及坐标关系,将标定件安装在测量仪器主轴上,标定件能够随主轴给定的速度做回转运动,测量仪器主轴的回转信号作为触发信号触发传感器进行数据采集,获取到标定件表面在传感器坐标系下的点云信息{Ds}。根据S1的坐标关系,由公式(1)得到标定件在标定件坐标系下的点云信息{Dc}。According to the coordinate system and coordinate relationship established by S1, the calibration piece is installed on the main shaft of the measuring instrument. The calibration piece can rotate with the given speed of the main shaft. The rotation signal of the main shaft of the measuring instrument is used as a trigger signal to trigger the sensor to collect data, and the point cloud information {D s } on the surface of the calibration piece in the sensor coordinate system is obtained. According to the coordinate relationship of S1, the point cloud information {D c } of the calibration piece in the calibration piece coordinate system is obtained from the formula (1).

Dc=M·Ds (1)D c = M·D s (1)

其中,M为传感器坐标系与标定件坐标系之间的变换矩阵,它与传感器空间位姿的六个自由度参数a、b、c、α、β、γ相关。Among them, M is the transformation matrix between the sensor coordinate system and the calibration part coordinate system, which is related to the six degrees of freedom parameters a, b, c, α, β, γ of the sensor space pose.

S3:标定特征提取。S3: Calibration feature extraction.

根据S2获取到的标定件的点云信息{Dc:xc,yc,zc},可根据几何特征将标定件信息提取为圆柱面点云信息{Dc-Y:xc-Y,yc-Y,zc-Y}、平面点云信息{Dc-P:xc-P,yc-P,zc-P}和V型槽点云信息{Dc-V:xc-V,yc-V,zc-V},如图7所示。每一个特征信息里都包含有传感器空间位姿的六个自由度参数a、b、c、α、β、γ。其中,xc,yc,zc分别为标定件点云信息在空间中的三维坐标值,xc-Y,yc-Y,zc-Y分别为标定件的圆柱面点云信息在空间中的三维坐标值,xc-P,yc-P,zc-P分别为标定件的平面点云信息在空间中的三维坐标值,xc-V,yc-V,zc-V分别为标定件的V型槽点云信息在空间中的三维坐标值。According to the point cloud information of the calibration piece obtained in S2 {D c : x c , y c , z c }, the calibration piece information can be extracted according to the geometric features as cylindrical point cloud information {D cY : x cY , y cY , z cY }, plane point cloud information {D cP : x cP , y cP , z cP } and V-shaped groove point cloud information {D cV : x cV , y cV , z cV } , as shown in Figure 7. Each feature information contains six degrees of freedom parameters a, b, c, α, β, γ of the sensor space pose. Among them, x c , y c , z c are the three-dimensional coordinates of the point cloud information of the calibration piece in space, x cY , y cY , z cY are the three-dimensional coordinates of the cylindrical point cloud information of the calibration piece in space, x cP , y cP , z cP are the three-dimensional coordinates of the plane point cloud information of the calibration piece in space, x cV , y cV , z cV are the three-dimensional coordinates of the V-shaped groove point cloud information of the calibration piece in space value.

S4:六个自由度参数的标定。S4: Calibration of six degrees of freedom parameters.

根据S3提取到的标定件特征信息,逐一确定传感器空间位姿的六个自由度参数。According to the characteristic information of the calibration piece extracted by S3, the parameters of the six degrees of freedom of the sensor space pose are determined one by one.

首先,根据S3提取到的圆柱面点云信息{Dc-Y:xc-Y,yc-Y,zc-Y},由公式(2)使用最小二乘拟合优化程序,可确定传感器空间位姿的两个偏转角度α、β。First, according to the cylindrical surface point cloud information {D cY : x cY , y cY , z cY } extracted by S3, the two deflection angles α and β of the sensor space pose can be determined by using the least squares fitting optimization program from formula (2).

其中,r0为标定件外圆柱的半径。Among them, r 0 is the radius of the outer cylinder of the calibration piece.

然后,根据S3提取到的平面点云信息{Dc-P:xc-P,yc-P,zc-P},由公式(3)使用最小二乘拟合优化程序进行两次优化,第一次优化的结果作为第二次优化的初值进行优化修正,可唯一确定传感器空间位姿的一个角度参数γ和两个位置参数a、b。Then, according to the planar point cloud information {D cP : x cP , y cP , z cP } extracted by S3, two optimizations are performed using the least squares fitting optimization program by formula (3), and the result of the first optimization is used as the initial value of the second optimization for optimization correction, which can uniquely determine an angle parameter γ and two position parameters a and b of the sensor space pose.

min{∑|xc-Pcosθ0+yc-Psinθ0-rf|} (3)min{∑|x cP cosθ 0 +y cP sinθ 0 -r f |} (3)

其中,rf为标定件平面与被测齿轮齿根圆相关的参数,为被测齿轮齿根圆半径;θ0为标定件平面的初始位置角。Among them, r f is the parameter related to the plane of the calibration piece and the root circle of the gear under test, and is the radius of the dedendum circle of the gear under test; θ 0 is the initial position angle of the plane of the calibration piece.

最后,根据S3提取到的V型槽点云信息{Dc-V:xc-V,yc-V,zc-V},由公式(4)确定V型槽两锥面的交线位置,进而可唯一确定传感器空间位姿的最后一个位置参数c。Finally, according to the V-groove point cloud information {D cV : x cV , y cV , z cV } extracted by S3, the intersection position of the two cone surfaces of the V-groove is determined by formula (4), and then the last position parameter c of the sensor space pose can be uniquely determined.

zc-V=zs+c (4)z cV =z s +c (4)

至此,线激光传感器空间位姿关系确认,完成标定。So far, the spatial pose relationship of the line laser sensor is confirmed, and the calibration is completed.

本发明提供一种用于齿轮三维测量的线激光传感器空间位姿标定件及标定方法。该标定件整体结构简单,现有的加工制造工艺能够很好的满足高精度几何特征的加工需求;齿轮测量中心测量工艺相结合,标定操作简单易行,可实现线激光传感器的精确标定;标定方法利用最小二乘对直线的拟合技术成熟,精度较高,能够真实反映实际坐标数值的相互关系。The invention provides a line laser sensor space pose calibration component and a calibration method for three-dimensional measurement of gears. The overall structure of the calibration piece is simple, and the existing manufacturing technology can well meet the processing requirements of high-precision geometric features; the combination of gear measurement center measurement technology, the calibration operation is simple and easy, and the accurate calibration of the line laser sensor can be realized; the calibration method uses the least square to fit the straight line with mature technology, high precision, and can truly reflect the relationship between the actual coordinate values.

对所公开的实施例的上述说明,使本领域专业技术人员能够实现或使用本发明。对这些实施例的多种修改对本领域的专业技术人员来说将是显而易见的,本文中所定义的一般原理可以在不脱离本发明的精神或范围的情况下,在其它实施例中实现。因此,本发明将不会被限制于本文所示的这些实施例,而是要符合与本文所公开的原理和新颖特点相一致的最宽的范围。The above description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the invention. Therefore, the present invention will not be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (6)

1. The planar linear laser sensor pose calibration piece for realizing the calibration method comprises a central rotating structure body, wherein the upper end face and the lower end face of the central rotating structure body are of a flat structure; the side face of the central rotating structure body is provided with a plurality of structural units with specific geometric shapes, each structural unit comprises an outer cylindrical surface I (2), a V-shaped groove (3) and an outer cylindrical surface II (4), the V-shaped groove (3) is arranged between the outer cylindrical surface I (2) and the outer cylindrical surface II (4), and the outer cylindrical surface I (2) and the outer cylindrical surface II (4) are arranged symmetrically up and down; a vertical section structure is arranged between each structural unit, and the vertical section structure is a side vertical structural surface of the central rotating structural body; an inner cylindrical surface (9) is arranged in the middle of the central rotary structure body; the vertical section structure comprises a plane I (1), a plane II (5) and a plane III (9); the lower end face (6) and the upper end face (7) are the upper end face and the lower end face of the central rotating structure;
the calibration method is characterized by comprising the following specific steps:
establishing a coordinate system of a calibration system;
obtaining calibration data and transforming coordinates;
extracting calibration characteristics;
calibrating six degrees of freedom parameters;
confirming the space pose relation of the line laser sensor, and finishing calibration;
s1: establishing a coordinate system of a calibration system;
establishing a calibration system coordinate system, comprising: calibration part coordinate system delta c :O c -X c Y c Z c And a sensor coordinate system delta s :O s -X s Y s Z s The method comprises the steps of carrying out a first treatment on the surface of the Wherein delta c For marking the coordinate system of the piece, O c X is the origin of the coordinate system of the calibration piece c 、Y c 、Z c Three coordinate axes of a coordinate system of the calibration piece; delta s Is the label of the sensor coordinate system, O s X is the origin of the sensor coordinate system s 、Y s 、Z s Three coordinate axes of a sensor coordinate system; the sensor is arranged in the circumferential direction of the calibration piece, and the origin Os of the coordinate system of the sensor is relative to the origin O of the coordinate system of the calibration piece c The offset in the three coordinate axis directions of the coordinate system of the calibration piece is a, b and c respectively; three coordinate axes X of sensor coordinate system s 、Y s 、Z s Three coordinate axes X relative to the coordinate system of the calibration piece c 、Y c 、Z c The deflection angles of the (a) are alpha, beta and gamma respectively; therefore, a, b, c, alpha, beta and gamma form six degree of freedom parameters of the sensor in a coordinate system of the calibration piece, and the spatial pose of the sensor is calibrated, namely the six degree of freedom parameters are calibrated; wherein x is c ,y x ,z c Respectively calibrating three-dimensional coordinate values, x of the point cloud information of the piece in space c-Y ,y c-Y ,z c-Y Three-dimensional coordinate values, x, of cylindrical surface point cloud information of the calibration piece in space c-P ,y c-P ,z c-P Three-dimensional coordinate values, x, of plane point cloud information of the calibration piece in space c-V ,y c-V ,z c-V Respectively the three-dimensional coordinate values of the V-shaped groove point cloud information of the calibration piece in space;
s2: obtaining calibration data and transforming coordinates;
according to the coordinate system and the coordinate relation established in the S1, a calibration piece is arranged on a main shaft of a measuring instrument, the calibration piece can do rotary motion along with the given speed of the main shaft, a main shaft rotary signal of the measuring instrument is used as a trigger signal to trigger a sensor to conduct data acquisition, and point cloud information { D (D) of the surface of the calibration piece under the coordinate system of the sensor is obtained s -a }; according to the coordinate relation of S1, obtaining the point cloud information { D ] of the calibration piece under the coordinate system of the calibration piece by the formula (1) c };
D c =M·D s (1)
M is a transformation matrix between a sensor coordinate system and a calibration piece coordinate system, and is related to six degrees of freedom parameters a, b, c, alpha, beta and gamma of the sensor space pose;
s3: extracting calibration characteristics;
according to the point cloud information { D of the calibration piece obtained in S2 c :x c ,y c ,z c Extracting the calibration piece information as cylindrical point cloud information { D } according to the geometric features c-Y :x c-Y ,y c-Y ,z c-Y Planar point cloud information { D } c-P :x c-P ,y c-P ,z c-P Sum V-groove point cloud information { D } c-V :x c-V ,y c-V ,z c-V -a }; each piece of calibration piece information comprises six degrees of freedom parameters a, b, c, alpha, beta and gamma of the sensor space pose; wherein x is c ,y c ,z c Respectively calibrating three-dimensional coordinate values, x of the point cloud information of the piece in space c-Y ,y c-Y ,z c-Y Three-dimensional coordinate values, x, of cylindrical surface point cloud information of the calibration piece in space c-P ,y c-P ,z c-P Respectively is calibrated toThree-dimensional coordinate value, x, of plane point cloud information of piece in space c-V ,y c-V ,z c-V Respectively the three-dimensional coordinate values of the V-shaped groove point cloud information of the calibration piece in space;
s4: calibrating six degrees of freedom parameters:
determining six degrees of freedom parameters of the sensor space pose one by one according to the characteristic information of the calibration piece extracted in the step S3; first, according to the cylindrical point cloud information { D ] extracted in S3 c-Y :x c-Y ,y c-Y ,z c-Y Using a least squares fitting optimization procedure from equation (2), determining two deflection angles α, β of the sensor spatial pose;
wherein r is 0 The radius of the outer cylinder of the calibration piece is the radius;
then, according to the plane point cloud information { D ] extracted in S3 c-P :x c-P ,y c-P ,z c-P Performing optimization twice by using a least square fitting optimization program according to a formula (3), performing optimization correction by taking the result of the first optimization as an initial value of the second optimization, and determining an angle parameter gamma and two position parameters a and b of the sensor space pose;
min{∑|x c-P cosθ 0 +y c-P sinθ 0 -r f |}(3)
wherein r is f The parameter related to the measured gear tooth root circle is the calibration piece plane and is the radius of the measured gear tooth root circle; θ 0 An initial position angle of a plane of the calibration piece;
finally, according to the V-shaped groove point cloud information { D ] extracted in the step S3 c-V :x c-V ,y c-V ,z c-V Determining the intersection line position of two conical surfaces of the V-shaped groove according to the formula (4), and further determining the last position parameter c of the sensor space pose;
z c-V =z s +c (4)
and confirming the space pose relation of the line laser sensor so as to finish calibration.
2. The line laser sensor space position calibration method for gear measurement according to claim 1, wherein: the inner cylindrical surface is a positioning reference of the calibration piece, has the same aperture size as the gear to be measured, and the cylindricity of the inner cylindrical surface is required to be 0.3 mu m for realizing the accuracy of radial positioning precision.
3. The line laser sensor space position calibration method for gear measurement according to claim 1, wherein: the plane I, the plane II and the plane III of the calibration piece have the same plane structure, ensure that the independent flatness is 1 mu m, have the consistency of the distance relative to the central shaft and are related to the diameter size of the root circle of the gear to be measured; the perpendicularity of the lower end face of each of the plane I, the plane II and the plane III is 1 mu m; the parallelism of the plane I and the plane III is 1 mu m; the symmetry of the plane I and the plane III about the central line is 1 mu m; the mutual perpendicularity of the plane II, the plane I and the plane III is 1 μm.
4. The line laser sensor space position calibration method for gear measurement according to claim 1, wherein: the outer cylindrical surface I and the outer cylindrical surface II of the calibration piece have consistent cylindricity of 0.3 mu m; the overall sizes of the outer cylindrical surface I and the outer cylindrical surface II of the calibration piece are related to the tooth top circle of the gear to be measured; the coaxiality of the outer cylindrical surface I and the outer cylindrical surface II of the calibration piece and the positioning reference inner circular surface of the calibration piece is 1 mu m.
5. The line laser sensor space position calibration method for gear measurement according to claim 1, wherein: the outer circular surface of the calibration piece is divided into an outer circular surface I and an outer circular surface II by the V-shaped groove, and the total runout of conical surfaces at two sides of the V-shaped groove is 1 mu m; the width value of the V-shaped groove is determined according to the parameters of the gear to be measured.
6. The line laser sensor space position calibration method for gear measurement according to claim 1, wherein: the lower end face and the upper end face are auxiliary reference faces of the calibration piece and are respectively and independently provided with a flatness of 1 mu m; the perpendicularity between the two planes and the positioning reference inner cylindrical surface of the calibration piece is 1 mu m; the two planes are parallel to each other and have a flatness of 1 μm; the dimension between the two planes correlates with the tooth width of the gear under test.
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