CN110458822A - A non-contact three-dimensional matching detection method for complex surface parts - Google Patents
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Abstract
本发明适用于曲面零件检测技术领域,提供了一种复杂曲面零件非接触式三维匹配检测方法,包括以下步骤:A、对检测零件进行三维定点测量;B、基准线绘制;C、实时区域确认;D、得被测自由曲面样品的整体面型轮廓;E、对得到的曲面零件整体面型轮廓采用网格分割形式对待加工工件进行三维立体建模。借此,本发明能够有效实现精准测量,降低测量误差,提高测量精度。The invention is applicable to the technical field of curved surface parts detection, and provides a non-contact three-dimensional matching detection method for complex curved surface parts, comprising the following steps: A. Performing three-dimensional fixed-point measurement on the detected parts; B. Drawing reference lines; C. Real-time area confirmation ; D. Obtain the overall surface profile of the free-form surface sample to be measured; E. Use the grid division form to perform a three-dimensional modeling of the workpiece to be processed for the overall surface profile of the obtained surface part. Thereby, the present invention can effectively realize accurate measurement, reduce measurement error, and improve measurement accuracy.
Description
技术领域technical field
本发明涉及曲面零件检测技术领域,尤其涉及一种复杂曲面零件非接触式三维匹配检测方法。The invention relates to the technical field of curved surface parts detection, in particular to a non-contact three-dimensional matching detection method for complex curved surface parts.
背景技术Background technique
目前,对于较高精度的复杂曲面零件检测主要有两类方法:接触式测量法和非接触式测量法。接触式测量采用传统的三坐标测量机对零件进行逐点采样,测量精度较高,但该方法测量效率低,而且对被测零件的材质有特殊要求。随着计算机视觉及模式识别技术的不断发展,非接触式测量技术以其较高的测量速度和精度在复杂曲面零件检测领域得到越来越广泛的应用。At present, there are two main methods for the detection of high-precision complex surface parts: contact measurement method and non-contact measurement method. The contact measurement uses the traditional three-coordinate measuring machine to sample the parts point by point, and the measurement accuracy is high, but the measurement efficiency of this method is low, and there are special requirements for the material of the measured parts. With the continuous development of computer vision and pattern recognition technology, non-contact measurement technology has been more and more widely used in the field of complex surface parts inspection due to its high measurement speed and accuracy.
非接触式测量利用光学扫描仪获得不同角度的扫描点集,然后对这些点集进行拼合,得到完整的零件扫描点集,通过扫描点集与CAD模型点集匹配分析获得零件的误差信息。在标准的检测环节,一般主要考虑加工误差,却忽略了测量误差对检测结果的影响;事实上,但是如果匹配本身的误差并没有达到理想的数量级,则会得到错误的测量结果,尤其在高精度复杂曲面零件的匹配检测过程中更要使匹配误差降到最低。The non-contact measurement uses an optical scanner to obtain scanning point sets of different angles, and then combines these point sets to obtain a complete part scanning point set. The error information of the part is obtained by matching and analyzing the scanning point set and the CAD model point set. In the standard detection link, the processing error is generally considered, but the influence of the measurement error on the detection result is ignored; in fact, if the error of the matching itself does not reach the ideal order of magnitude, the wrong measurement result will be obtained, especially in high In the matching detection process of precision complex surface parts, the matching error should be minimized.
综上可知,现有技术在实际使用上显然存在不便与缺陷,所以有必要加以改进。To sum up, the prior art obviously has inconvenience and defects in practical use, so it is necessary to improve it.
发明内容SUMMARY OF THE INVENTION
针对上述的缺陷,本发明的目的在于提供一种复杂曲面零件非接触式三维匹配检测方法,其可以降低测量误差,提高测量精准度。In view of the above-mentioned defects, the purpose of the present invention is to provide a non-contact three-dimensional matching detection method for complex curved surface parts, which can reduce the measurement error and improve the measurement accuracy.
为了实现上述目的,本发明提供一种复杂曲面零件非接触式三维匹配检测方法,包括以下步骤:In order to achieve the above purpose, the present invention provides a non-contact three-dimensional matching detection method for complex curved surface parts, comprising the following steps:
A、对检测零件进行三维定点测量:A. Three-dimensional fixed-point measurement of the detected parts:
首先通过点位测量法对基准线位置进行测量,在测量过程中对待测曲面零件截面进行选取固定,然后在同一轴上逐次移动,进行基准线测量,测量完成后在垂直轴上移动规定距离后对另一截面进行逐次移动测量,形成基准线基本轮廓;First, measure the position of the reference line by the point measurement method, select and fix the section of the surface part to be measured during the measurement process, and then move it one by one on the same axis to measure the reference line. After the measurement is completed, move the specified distance on the vertical axis. Make successive movement measurements on another section to form the basic outline of the reference line;
B、基准线绘制:B. Baseline drawing:
将步骤A中所形成的基准线基本轮廓通过绘图软件进行绘制,并设定相对应的点距,点距设置完成后,通过扫描仪器匀速对待测零件进行表面扫描,扫描过程中形成完整的光条实时区域;Draw the basic outline of the reference line formed in step A through the drawing software, and set the corresponding point distance. After the point distance is set, the surface of the part to be measured is scanned at a constant speed by the scanning instrument, and a complete light is formed during the scanning process. bar real-time area;
C、实时区域确认:C. Real-time area confirmation:
定义序列光条图像{f′(x,y,t0),f′(x,y,t1),…,f′(x,y,tn-1)}中第i张光条图像的光条位置状态为Xi,相邻光条图像的光条位置关系通过以下公式推理表示Xi+1=Xi+dω/f,i=0,1,2,…,n,其中 为图像进行阈值分割处理后的光条通过区域在水平方向上的最小分量,为最大分量,d为扫描仪器到待测零件表面的平均测量距离,ω为扫描仪器的扫描角速度,f为扫描仪器的采集帧频;Define the ith light strip image in the sequence light strip images {f'(x, y, t 0 ), f'(x, y, t 1 ), ..., f'(x, y, t n-1 )} The position state of the light bar is X i , the light bar position relationship of adjacent light bar images is expressed by the following formula X i+1 =X i +dω/f, i=0,1,2,...,n, where The minimum component in the horizontal direction of the light bar passing area after thresholding the image, is the maximum component, d is the average measurement distance from the scanning instrument to the surface of the part to be measured, ω is the scanning angular velocity of the scanning instrument, and f is the acquisition frame frequency of the scanning instrument;
D、被测曲面零件进行X向和Y向扫描检测时的直线运动误差由激光干涉仪测量得到的位移数据进行补偿,将自由曲面样品三维形貌数据{D11(x,y,z),D12(x,y,z),…,D12(x,y,z),Dij(x,y,z),…,DMN(x,y,z)}拟合,得到被测自由曲面样品的整体面型轮廓;D. The linear motion error of the measured curved surface part during X-direction and Y-direction scanning detection is compensated by the displacement data measured by the laser interferometer, and the three-dimensional topography data of the free-form surface sample {D11(x, y, z), D12 (x, y, z), ..., D12(x, y, z), Dij(x, y, z), ..., DMN(x, y, z)} fitting, to obtain the whole of the measured free-form surface sample face contour;
E、在步骤B的基准线绘制基础上,对得到的曲面零件整体面型轮廓采用网格分割形式对待加工工件进行三维立体建模,根据绘制轮廓线的特征点分布,进行约束化三角网格剖分,提取二维轮廓线的骨架,选取骨架点和采样点投影到三维空间椭球曲面,并引入二面角原则,优化空间离散数据点的三角化算法,最后缝合骨架点获得三维网格曲面表示。E. On the basis of the baseline drawing in step B, the overall surface contour of the obtained surface part is divided into meshes to carry out a three-dimensional modeling of the workpiece to be processed, and a constrained triangular mesh is carried out according to the distribution of the feature points of the drawn contour. Divide, extract the skeleton of the 2D contour line, select the skeleton points and sampling points to project onto the 3D space ellipsoid surface, and introduce the dihedral angle principle to optimize the triangulation algorithm of discrete data points in space, and finally stitch the skeleton points to obtain a 3D mesh Surface representation.
根据本发明的复杂曲面零件非接触式三维匹配检测方法,所述基准线测量时,测头从A点移动至B点,经B点测完后退回至C点,再按规定步距到D点,重复下一点E的测量,测量过程中,以原点A为角度定点,根据所测数据,绘制曲面零件基准线。According to the non-contact three-dimensional matching detection method of complex curved surface parts of the present invention, when the reference line is measured, the probe moves from point A to point B, returns to point C after measuring point B, and then moves to point D according to the specified step distance. Point, repeat the measurement of the next point E, during the measurement process, take the origin A as the angle fixed point, and draw the reference line of the surface part according to the measured data.
根据本发明的复杂曲面零件非接触式三维匹配检测方法,所述步骤C中,采用阈值分割出的图像光条连通区域,由上到下逐行(列)搜索光条宽度值d,得到光条宽度值数列如下所示[di-λ,…,di,…,di+λ](λ≥1,i=k,k+1,…,k+n)。According to the non-contact three-dimensional matching detection method of complex curved surface parts of the present invention, in the step C, the connected area of the image light stripe segmented by the threshold is used to search the light stripe width value d row by row (column) from top to bottom to obtain the light stripe width value d. The bar width value sequence is as follows [d i-λ ,...,d i ,...,di +λ ](λ≥1, i=k, k+1,...,k+n).
根据本发明的复杂曲面零件非接触式三维匹配检测方法,所述dk为第k行光条宽度值,k为光条连通区域的首行,n为光条连通区域的总行数,以每行i的宽度值di及其上下各λ行元素构造计算数列[di-λ,…,di,…,di+λ](λ≥1,i=k,k+1,…,k+n),计算其光条宽度变化率ψi,以离散型方差的形式定义光条的宽度,变化率如下According to the non-contact three-dimensional matching detection method of complex curved surface parts of the present invention, the d k is the light bar width value of the kth row, k is the first line of the light bar connected area, n is the total number of lines of the light bar connected area, and each The width value d i of row i and its upper and lower λ row elements construct the calculation sequence [d i-λ ,...,d i ,...,di +λ ](λ≥1,i=k,k+1,..., k+n), calculate the light bar width change rate ψ i , define the light bar width in the form of discrete variance, and the change rate is as follows
其中:pj为第j行(j∈[i-λ,i+λ])光条宽度值dj出现的概率。Where: p j is the probability of occurrence of the light bar width value d j in the jth row (j∈[i-λ, i+λ]).
根据本发明的复杂曲面零件非接触式三维匹配检测方法,所述pj出现的概率为pj=1/(2λ+1),取λ=1,μ为该计算数列各宽度元素的平均值,因此,得到第i行的光条宽度变化率为According to the non-contact three-dimensional matching detection method of complex curved surface parts of the present invention, the probability of the occurrence of p j is p j =1/(2λ+1), take λ=1, and μ is the average value of each width element of the calculation sequence , therefore, the change rate of the light bar width of the i-th row is obtained
其中,i=1和i=n处溢出部分的宽度值dk-1和dk+n+1按0进行处理。Wherein, the width values d k-1 and d k+n+1 of the overflow portion at i=1 and i=n are processed as 0.
根据本发明的复杂曲面零件非接触式三维匹配检测方法,所述约束化三角网格剖分利用了GIS的空间拓扑关系对算法输入数据进行预处理,基于三角形的统一数据结构实现网格细化,基准线绘制采用二维轮廓线基于二维轮廓线和元球造型技术,利用中轴线的几何特性对其进行数据处理。According to the non-contact three-dimensional matching detection method of complex curved surface parts of the present invention, the constrained triangular mesh division utilizes the spatial topology relationship of GIS to preprocess the input data of the algorithm, and realizes mesh refinement based on the unified data structure of triangles. , the reference line is drawn by two-dimensional contour line based on two-dimensional contour line and meta-sphere modeling technology, and the data processing is carried out by using the geometric characteristics of the central axis.
根据本发明的复杂曲面零件非接触式三维匹配检测方法,所述基准线的长度偏差算式:F=X2+Y2-R2,在起步偏差预置或运行中象限变换时根据起点所在象限和走向是离开X轴或朝向X轴进行F=F-X+Y或F=F-Y+X的偏差修正预置,及对曲线运行中的递推算式:当X±1时:F=F±2*X+1,当Y±1时:F=F±2*Y+1,改为:当X±1时:F=F±2*X+2,当Y±1时:F=F±2*Y+2,用以使对基准R的修正量在一个象限内实现由0.8经0.6到1.5的变化,达到去除在坐标轴上被控点相对基准R的最大偏离,使坐标轴两侧轨迹对称,整个轨迹均以R为中心运行。According to the non-contact three-dimensional matching detection method of complex curved surface parts of the present invention, the length deviation formula of the reference line: F=X2+Y2-R2, when the starting deviation is preset or the quadrant is changed during operation, according to the quadrant of the starting point and the direction is Carry out the deviation correction preset of F=F-X+Y or F=F-Y+X away from the X-axis or toward the X-axis, and the recursive calculation formula in the curve operation: when X±1: F=F±2 *X+1, when Y±1: F=F±2*Y+1, change to: when X±1: F=F±2*X+2, when Y±1: F=F± 2*Y+2, to make the correction amount to the reference R change from 0.8 to 0.6 to 1.5 in one quadrant, to remove the maximum deviation of the controlled point relative to the reference R on the coordinate axis, so that the two sides of the coordinate axis are removed. The trajectory is symmetrical, and the entire trajectory runs with R as the center.
本发明提供了一种复杂曲面零件非接触式三维匹配检测方法,包括以下步骤:The invention provides a non-contact three-dimensional matching detection method for complex curved surface parts, comprising the following steps:
A、对检测零件进行三维定点测量:A. Three-dimensional fixed-point measurement of the detected parts:
首先通过点位测量法对基准线位置进行测量,在测量过程中对待测曲面零件截面进行选取固定,然后在同一轴上逐次移动,进行基准线测量,测量完成后在垂直轴上移动规定距离后对另一截面进行逐次移动测量,形成基准线基本轮廓;First, measure the position of the reference line by the point measurement method, select and fix the section of the surface part to be measured during the measurement process, and then move it one by one on the same axis to measure the reference line. After the measurement is completed, move the specified distance on the vertical axis. Make successive movement measurements on another section to form the basic outline of the reference line;
B、基准线绘制:B. Baseline drawing:
将步骤A中所形成的基准线基本轮廓通过绘图软件进行绘制,并设定相对应的点距,点距设置完成后,通过扫描仪器匀速对待测零件进行表面扫描,扫描过程中形成完整的光条实时区域;Draw the basic outline of the reference line formed in step A through the drawing software, and set the corresponding point distance. After the point distance is set, the surface of the part to be measured is scanned at a constant speed by the scanning instrument, and a complete light is formed during the scanning process. bar real-time area;
C、实时区域确认:C. Real-time area confirmation:
定义序列光条图像{f′(x,y,t0),f′(x,y,t1),…,f′(x,y,tn-1)}中第i张光条图像的光条位置状态为Xi,相邻光条图像的光条位置关系通过以下公式推理表示Xi+1=Xi+dω/f,i=0,1,2,…,n,其中 为图像进行阈值分割处理后的光条通过区域在水平方向上的最小分量,为最大分量,d为扫描仪器到待测零件表面的平均测量距离,ω为扫描仪器的扫描角速度,f为扫描仪器的采集帧频;Define the ith light strip image in the sequence light strip images {f'(x, y, t 0 ), f'(x, y, t 1 ), ..., f'(x, y, t n-1 )} The position state of the light bar is X i , the light bar position relationship of adjacent light bar images is expressed by the following formula X i+1 =X i +dω/f, i=0,1,2,...,n, where The minimum component in the horizontal direction of the light bar passing area after thresholding the image, is the maximum component, d is the average measurement distance from the scanning instrument to the surface of the part to be measured, ω is the scanning angular velocity of the scanning instrument, and f is the acquisition frame frequency of the scanning instrument;
D、被测曲面零件进行X向和Y向扫描检测时的直线运动误差由激光干涉仪测量得到的位移数据进行补偿,将自由曲面样品三维形貌数据{D11(x,y,z),D12(x,y,z),…,D12(x,y,z),Dij(x,y,z),…,DMN(x,y,z)}拟合,得到被测自由曲面样品的整体面型轮廓;D. The linear motion error of the measured curved surface part during X-direction and Y-direction scanning detection is compensated by the displacement data measured by the laser interferometer, and the three-dimensional topography data of the free-form surface sample {D11(x, y, z), D12 (x, y, z), ..., D12(x, y, z), Dij(x, y, z), ..., DMN(x, y, z)} fitting, to obtain the whole of the measured free-form surface sample face contour;
E、在步骤B的基准线绘制基础上,对得到的曲面零件整体面型轮廓采用网格分割形式对待加工工件进行三维立体建模,根据绘制轮廓线的特征点分布,进行约束化三角网格剖分,提取二维轮廓线的骨架,选取骨架点和采样点投影到三维空间椭球曲面,并引入二面角原则,优化空间离散数据点的三角化算法,最后缝合骨架点获得三维网格曲面表示。E. On the basis of the baseline drawing in step B, the overall surface contour of the obtained surface part is divided into meshes to carry out a three-dimensional modeling of the workpiece to be processed, and a constrained triangular mesh is carried out according to the distribution of the feature points of the drawn contour. Divide, extract the skeleton of the 2D contour line, select the skeleton points and sampling points to project onto the 3D space ellipsoid surface, and introduce the dihedral angle principle to optimize the triangulation algorithm of discrete data points in space, and finally stitch the skeleton points to obtain a 3D mesh Surface representation.
本发明的有益效果:通过设计复杂曲面零件的三维匹配检测工艺,可以充分利用其收敛速度快、鲁棒性好和不易陷入局部最优的特点,测试表明能够获得高精度和高效率的三维匹配结果,采用非接触测量,不损伤元件加工面,通过图像即可判定加工是否合格,可作为在线快速、批量检测的有效手段。Beneficial effects of the invention: by designing the three-dimensional matching detection process of complex curved surface parts, the characteristics of fast convergence speed, good robustness and not easy to fall into local optimum can be fully utilized, and the test shows that high-precision and high-efficiency three-dimensional matching can be obtained. As a result, the non-contact measurement is adopted without damaging the processing surface of the component, and the image can be used to determine whether the processing is qualified or not, which can be used as an effective means for online rapid and batch inspection.
具体实施方式Detailed ways
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合实施例,对本发明进行进一步详细说明,应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。In order to make the purpose, technical solutions and advantages of the present invention more clearly understood, the present invention will be described in further detail below in conjunction with the embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, and are not intended to limit the present invention. .
本发明提供了一种复杂曲面零件非接触式三维匹配检测方法,包括以下步骤:The invention provides a non-contact three-dimensional matching detection method for complex curved surface parts, comprising the following steps:
A、对检测零件进行三维定点测量:A. Three-dimensional fixed-point measurement of the detected parts:
首先通过点位测量法对基准线位置进行测量,在测量过程中对待测曲面零件截面进行选取固定,然后在同一轴上逐次移动,进行基准线测量,测量完成后在垂直轴上移动规定距离后对另一截面进行逐次移动测量,形成基准线基本轮廓;First, measure the position of the reference line by the point measurement method, select and fix the section of the surface part to be measured during the measurement process, and then move it one by one on the same axis to measure the reference line. After the measurement is completed, move the specified distance on the vertical axis. Make successive movement measurements on another section to form the basic outline of the reference line;
B、基准线绘制:B. Baseline drawing:
将步骤A中所形成的基准线基本轮廓通过绘图软件进行绘制,并设定相对应的点距,点距设置完成后,通过扫描仪器匀速对待测零件进行表面扫描,扫描过程中形成完整的光条实时区域;Draw the basic outline of the reference line formed in step A through the drawing software, and set the corresponding point distance. After the point distance is set, the surface of the part to be measured is scanned at a constant speed by the scanning instrument, and a complete light is formed during the scanning process. bar real-time area;
C、实时区域确认:C. Real-time area confirmation:
定义序列光条图像{f′(x,y,t0),f′(x,y,t1),…,f′(x,y,tn-1)}中第i张光条图像的光条位置状态为Xi,相邻光条图像的光条位置关系通过以下公式推理表示Xi+1=Xi+dω/f,i=0,1,2,…,n,其中 为图像进行阈值分割处理后的光条通过区域在水平方向上的最小分量,为最大分量,d为扫描仪器到待测零件表面的平均测量距离,ω为扫描仪器的扫描角速度,f为扫描仪器的采集帧频;Define the ith light strip image in the sequence light strip images {f'(x, y, t 0 ), f'(x, y, t 1 ), ..., f'(x, y, t n-1 )} The position state of the light bar is X i , the light bar position relationship of adjacent light bar images is expressed by the following formula X i+1 =X i +dω/f, i=0,1,2,...,n, where The minimum component in the horizontal direction of the light bar passing area after thresholding the image, is the maximum component, d is the average measurement distance from the scanning instrument to the surface of the part to be measured, ω is the scanning angular velocity of the scanning instrument, and f is the acquisition frame frequency of the scanning instrument;
D、被测曲面零件进行X向和Y向扫描检测时的直线运动误差由激光干涉仪测量得到的位移数据进行补偿,将自由曲面样品三维形貌数据{D11(x,y,z),D12(x,y,z),…,D12(x,y,z),Dij(x,y,z),…,DMN(x,y,z)}拟合,得到被测自由曲面样品的整体面型轮廓;D. The linear motion error of the measured curved surface part during X-direction and Y-direction scanning detection is compensated by the displacement data measured by the laser interferometer, and the three-dimensional topography data of the free-form surface sample {D11(x, y, z), D12 (x, y, z), ..., D12(x, y, z), Dij(x, y, z), ..., DMN(x, y, z)} fitting, to obtain the whole of the measured free-form surface sample face contour;
E、在步骤B的基准线绘制基础上,对得到的曲面零件整体面型轮廓采用网格分割形式对待加工工件进行三维立体建模,根据绘制轮廓线的特征点分布,进行约束化三角网格剖分,提取二维轮廓线的骨架,选取骨架点和采样点投影到三维空间椭球曲面,并引入二面角原则,优化空间离散数据点的三角化算法,最后缝合骨架点获得三维网格曲面表示。E. On the basis of the baseline drawing in step B, the overall surface contour of the obtained surface part is divided into meshes to carry out a three-dimensional modeling of the workpiece to be processed, and a constrained triangular mesh is carried out according to the distribution of the feature points of the drawn contour. Divide, extract the skeleton of the 2D contour line, select the skeleton points and sampling points to project onto the 3D space ellipsoid surface, and introduce the dihedral angle principle to optimize the triangulation algorithm of discrete data points in space, and finally stitch the skeleton points to obtain a 3D mesh Surface representation.
优选的是,本发明的基准线测量时,测头从A点移动至B点,经B点测完后退回至C点,再按规定步距到D点,重复下一点E的测量,测量过程中,以原点A为角度定点,根据所测数据,绘制曲面零件基准线,通过基于原点进行多次移动,使其实现基准线的有效点距测量,进一步的提高测量精准度。Preferably, when measuring the reference line of the present invention, the probe moves from point A to point B, returns to point C after measuring at point B, and then moves to point D according to the specified step distance, repeats the measurement of the next point E, and measures In the process, the origin A is used as the angle fixed point, according to the measured data, the reference line of the surface part is drawn, and the effective point distance measurement of the reference line can be realized by moving multiple times based on the origin, which further improves the measurement accuracy.
另外,本发明的约束化三角网格剖分利用了GIS的空间拓扑关系对算法输入数据进行预处理,基于三角形的统一数据结构实现网格细化,基准线绘制采用二维轮廓线基于二维轮廓线和元球造型技术,利用中轴线的几何特性对其进行数据处理,利用约束化三角网格和二维轮廓线及元球造型技术,对几何线距进行有效测量,从而保证后续测量过程中的精准度。In addition, the constrained triangular mesh division of the present invention utilizes the spatial topology relationship of GIS to preprocess the input data of the algorithm, realizes mesh refinement based on the unified data structure of triangles, and uses two-dimensional contour lines to draw the baseline based on two-dimensional The contour line and meta-sphere modeling technology uses the geometric characteristics of the central axis to process the data, and uses the constrained triangular mesh and the two-dimensional contour line and meta-sphere modeling technology to effectively measure the geometric line distance, so as to ensure the subsequent measurement process. accuracy in .
进一步的,本发明的步骤C中,采用阈值分割出的图像光条连通区域,由上到下逐行(列)搜索光条宽度值d,得到光条宽度值数列如下所示[di-λ,…,di,…di+λ] (λ≥1,i=k,k+1,…,k+n),通过阈值分割法,对曲面零件的表面进行分割测距,进而保证其后续测量的精准度。Further, in step C of the present invention, the connected area of the image light bar divided by the threshold is used to search the light bar width value d row by row (column) from top to bottom, and the sequence of light bar width values is obtained as follows [d i- λ , ..., d i , ... d i+λ ] (λ≥1, i=k, k+1, ..., k+n), through the threshold segmentation method, the surface of the curved part is segmented and measured to ensure the accuracy of its subsequent measurements.
更好的,本发明的基准线的长度偏差算式:F=X2+Y2-R2,在起步偏差预置或运行中象限变换时根据起点所在象限和走向是离开X轴或朝向X轴进行F=F-X+Y或F=F-Y+X的偏差修正预置,及对曲线运行中的递推算式:当X±1时:F=F±2*X+1,当Y±1时:F=F±2*Y+1,改为:当X±1时:F=F±2*X+2,当Y±1时:F=F±2*Y+2,用以使对基准R的修正量在一个象限内实现由0.8经0.6到1.5的变化,达到去除在坐标轴上被控点相对基准R的最大偏离,使坐标轴两侧轨迹对称,整个轨迹均以R为中心运行,利用长度偏差算式对基准线的位置及点距进行有效插补,进而保证测量后的精准度,提高最终绘制精度。Preferably, the calculation formula of the length deviation of the reference line of the present invention: F=X2+Y2-R2, when the starting deviation is preset or the quadrant is changed during operation, F= is performed according to the quadrant where the starting point is located and the direction is away from the X-axis or toward the X-axis. The deviation correction preset of F-X+Y or F=F-Y+X, and the recursive calculation formula in the curve operation: when X±1: F=F±2*X+1, when Y±1 : F=F±2*Y+1, change to: when X±1: F=F±2*X+2, when Y±1: F=F±2*Y+2, to make the pair The correction amount of the reference R is changed from 0.8 to 0.6 to 1.5 in one quadrant, to remove the maximum deviation of the controlled point on the coordinate axis from the reference R, so that the trajectory on both sides of the coordinate axis is symmetrical, and the entire trajectory is centered on R Run, use the length deviation formula to effectively interpolate the position and point distance of the reference line, thereby ensuring the accuracy after measurement and improving the final drawing accuracy.
本发明提供了一种复杂曲面零件非接触式三维匹配检测方法,包括以下步骤:The invention provides a non-contact three-dimensional matching detection method for complex curved surface parts, comprising the following steps:
A、对检测零件进行三维定点测量:A. Three-dimensional fixed-point measurement of the detected parts:
首先通过点位测量法对基准线位置进行测量,在测量过程中对待测曲面零件截面进行选取固定,然后在同一轴上逐次移动,进行基准线测量,测量完成后在垂直轴上移动规定距离后对另一截面进行逐次移动测量,形成基准线基本轮廓;First, measure the position of the reference line by the point measurement method, select and fix the section of the surface part to be measured during the measurement process, and then move it one by one on the same axis to measure the reference line. After the measurement is completed, move the specified distance on the vertical axis. Make successive movement measurements on another section to form the basic outline of the reference line;
B、基准线绘制:B. Baseline drawing:
将步骤A中所形成的基准线基本轮廓通过绘图软件进行绘制,并设定相对应的点距,点距设置完成后,通过扫描仪器匀速对待测零件进行表面扫描,扫描过程中形成完整的光条实时区域;Draw the basic outline of the reference line formed in step A through the drawing software, and set the corresponding point distance. After the point distance is set, the surface of the part to be measured is scanned at a constant speed by the scanning instrument, and a complete light is formed during the scanning process. bar real-time area;
C、实时区域确认:C. Real-time area confirmation:
定义序列光条图像{f′(x,y,t0),f′(x,y,t1),…,f′(x,y,tn-1)}中第i张光条图像的光条位置状态为Xi,相邻光条图像的光条位置关系通过以下公式推理表示Xi+1=Xi+dω/f,i=0,1,2,…,n,其中 为图像进行阈值分割处理后的光条通过区域在水平方向上的最小分量,为最大分量,d为扫描仪器到待测零件表面的平均测量距离,ω为扫描仪器的扫描角速度,f为扫描仪器的采集帧频;Define the ith light strip image in the sequence light strip images {f'(x, y, t 0 ), f'(x, y, t 1 ), ..., f'(x, y, t n-1 )} The position state of the light bar is X i , the light bar position relationship of adjacent light bar images is expressed by the following formula X i+1 =X i +dω/f, i=0,1,2,...,n, where The minimum component in the horizontal direction of the light bar passing area after thresholding the image, is the maximum component, d is the average measurement distance from the scanning instrument to the surface of the part to be measured, ω is the scanning angular velocity of the scanning instrument, and f is the acquisition frame frequency of the scanning instrument;
D、被测曲面零件进行X向和Y向扫描检测时的直线运动误差由激光干涉仪测量得到的位移数据进行补偿,将自由曲面样品三维形貌数据{D11(x,y,z),D12(x,y,z),…,D12(x,y,z),Dij(x,y,z),…,DMN(x,y,z)}拟合,得到被测自由曲面样品的整体面型轮廓;D. The linear motion error of the measured curved surface part during X-direction and Y-direction scanning detection is compensated by the displacement data measured by the laser interferometer, and the three-dimensional topography data of the free-form surface sample {D11(x, y, z), D12 (x, y, z), ..., D12(x, y, z), Dij(x, y, z), ..., DMN(x, y, z)} fitting, to obtain the whole of the measured free-form surface sample face contour;
E、在步骤B的基准线绘制基础上,对得到的曲面零件整体面型轮廓采用网格分割形式对待加工工件进行三维立体建模,根据绘制轮廓线的特征点分布,进行约束化三角网格剖分,提取二维轮廓线的骨架,选取骨架点和采样点投影到三维空间椭球曲面,并引入二面角原则,优化空间离散数据点的三角化算法,最后缝合骨架点获得三维网格曲面表示。E. On the basis of the baseline drawing in step B, the overall surface contour of the obtained surface part is divided into meshes to carry out a three-dimensional modeling of the workpiece to be processed, and a constrained triangular mesh is carried out according to the distribution of the feature points of the drawn contour. Divide, extract the skeleton of the 2D contour line, select the skeleton points and sampling points to project onto the 3D space ellipsoid surface, and introduce the dihedral angle principle to optimize the triangulation algorithm of discrete data points in space, and finally stitch the skeleton points to obtain a 3D mesh Surface representation.
所述基准线测量时,测头从A点移动至B点,经B点测完后退回至C点,再按规定步距到D点,重复下一点E的测量,测量过程中,以原点A为角度定点,根据所测数据,绘制曲面零件基准线。所述步骤C中,采用阈值分割出的图像光条连通区域,由上到下逐行(列)搜索光条宽度值d,得到光条宽度值数列如下所示[di-λ,…,di,…di+λ] (λ≥1,i=k,k+1,…,k+n)。所述dk为第k行光条宽度值,k为光条连通区域的首行,n为光条连通区域的总行数,以每行i的宽度值di及其上下各λ行元素构造计算数列[di-λ,…,di,…,di+λ](λ≥1,i=k,k+1,…,k+n),计算其光条宽度变化率ψi,以离散型方差的形式定义光条的宽度,变化率如下When measuring the reference line, the probe moves from point A to point B, returns to point C after measuring at point B, and then moves to point D according to the specified step distance, and repeats the measurement of the next point E. During the measurement process, take the origin point. A is the fixed point of the angle, according to the measured data, draw the reference line of the surface part. In the step C, the connected area of the image light stripe segmented by the threshold is used to search for the light stripe width value d row by row (column) from top to bottom, and the number sequence of the light stripe width value is obtained as follows [d i-λ , . . . , d i ,...d i+λ ] (λ≥1, i=k, k+1,...,k+n). The d k is the light bar width value of the kth row, k is the first line of the light bar connected area, n is the total number of lines of the light bar connected area, and is constructed by the width value d i of each line i and its upper and lower λ line elements. Calculate the sequence [d i- λ , . Define the width of the light bar in the form of discrete variance, the rate of change is as follows
其中:pj为第j行(j∈[i-λ,i+λ])光条宽度值dj出现的概率。Where: p j is the probability of occurrence of the light bar width value d j in the jth row (j∈[i-λ, i+λ]).
所述pj出现的概率为pj=1/(2λ+1),取λ=1,μ为该计算数列各宽度元素的平均值,因此,得到第i行的光条宽度变化率为The probability of the occurrence of p j is p j =1/(2λ+1), take λ = 1, and μ is the average value of each width element of the calculation sequence, therefore, the change rate of the light bar width in the i-th row is obtained.
其中,i=1和i=n处溢出部分的宽度值dk-1和dk+n+1按0进行处理。Wherein, the width values d k-1 and d k+n+1 of the overflow portion at i=1 and i=n are processed as 0.
约束化三角网格剖分利用了GIS的空间拓扑关系对算法输入数据进行预处理,基于三角形的统一数据结构实现网格细化,基准线绘制采用二维轮廓线基于二维轮廓线和元球造型技术,利用中轴线的几何特性对其进行数据处理。基准线的长度偏差算式:F=X2+Y2-R2,在起步偏差预置或运行中象限变换时根据起点所在象限和走向是离开X轴或朝向X轴进行F=F-X+Y或F=F-Y+X的偏差修正预置,及对曲线运行中的递推算式:当X±1时:F=F±2*X+1,当Y±1时:F=F±2*Y+1,改为:当X±1时:F=F±2*X+2,当Y±1时:F=F±2*Y+2,用以使对基准R的修正量在一个象限内实现由0.8经0.6到1.5的变化,达到去除在坐标轴上被控点相对基准R的最大偏离,使坐标轴两侧轨迹对称,整个轨迹均以R为中心运行。Constrained triangular meshing uses the spatial topological relationship of GIS to preprocess the input data of the algorithm, and realizes grid refinement based on the unified data structure of triangles. Modeling technology, using the geometric characteristics of the central axis to process data. The formula for the length deviation of the reference line: F=X2+Y2-R2, when the starting deviation is preset or the quadrant is changed during operation, according to the quadrant where the starting point is located and the direction is to leave the X-axis or toward the X-axis, perform F=F-X+Y or F =F-Y+X deviation correction preset, and recursive calculation formula in curve operation: when X±1: F=F±2*X+1, when Y±1: F=F±2* Y+1, change to: when X±1: F=F±2*X+2, when Y±1: F=F±2*Y+2, in order to make the correction amount to the reference R within one In the quadrant, the change from 0.8 to 0.6 to 1.5 is realized, and the maximum deviation of the controlled point on the coordinate axis relative to the reference R is removed, so that the trajectory on both sides of the coordinate axis is symmetrical, and the entire trajectory runs with R as the center.
综上所述,本发明提供了一种复杂曲面零件非接触式三维匹配检测方法,包括以下步骤:To sum up, the present invention provides a non-contact three-dimensional matching detection method for complex curved surface parts, which includes the following steps:
A、对检测零件进行三维定点测量:A. Three-dimensional fixed-point measurement of the detected parts:
首先通过点位测量法对基准线位置进行测量,在测量过程中对待测曲面零件截面进行选取固定,然后在同一轴上逐次移动,进行基准线测量,测量完成后在垂直轴上移动规定距离后对另一截面进行逐次移动测量,形成基准线基本轮廓;First, measure the position of the reference line by the point measurement method, select and fix the section of the surface part to be measured during the measurement process, and then move it one by one on the same axis to measure the reference line. After the measurement is completed, move the specified distance on the vertical axis. Make successive movement measurements on another section to form the basic outline of the reference line;
B、基准线绘制:B. Baseline drawing:
将步骤A中所形成的基准线基本轮廓通过绘图软件进行绘制,并设定相对应的点距,点距设置完成后,通过扫描仪器匀速对待测零件进行表面扫描,扫描过程中形成完整的光条实时区域;Draw the basic outline of the reference line formed in step A through the drawing software, and set the corresponding point distance. After the point distance is set, the surface of the part to be measured is scanned at a constant speed by the scanning instrument, and a complete light is formed during the scanning process. bar real-time area;
C、实时区域确认:C. Real-time area confirmation:
定义序列光条图像{f′(x,y,t0),f′(x,y,t1),…,f′(x,y,tn-1)}中第i张光条图像的光条位置状态为Xi,相邻光条图像的光条位置关系通过以下公式推理表示Xi+1=Xi+dω/f,i=0,1,2,…,n,其中 为图像进行阈值分割处理后的光条通过区域在水平方向上的最小分量,为最大分量,d为扫描仪器到待测零件表面的平均测量距离,ω为扫描仪器的扫描角速度,f为扫描仪器的采集帧频;Define the ith light strip image in the sequence light strip images {f'(x, y, t 0 ), f'(x, y, t 1 ), ..., f'(x, y, t n-1 )} The position state of the light bar is X i , the light bar position relationship of adjacent light bar images is expressed by the following formula X i+1 =X i +dω/f, i=0,1,2,...,n, where The minimum component in the horizontal direction of the light bar passing area after thresholding the image, is the maximum component, d is the average measurement distance from the scanning instrument to the surface of the part to be measured, ω is the scanning angular velocity of the scanning instrument, and f is the acquisition frame frequency of the scanning instrument;
D、被测曲面零件进行X向和Y向扫描检测时的直线运动误差由激光干涉仪测量得到的位移数据进行补偿,将自由曲面样品三维形貌数据{D11(x,y,z),D12(x,y,z),…,D12(x,y,z),Dij(x,y,z),…,DMN(x,y,z)}拟合,得到被测自由曲面样品的整体面型轮廓;D. The linear motion error of the measured curved surface part during X-direction and Y-direction scanning detection is compensated by the displacement data measured by the laser interferometer, and the three-dimensional topography data of the free-form surface sample {D11(x, y, z), D12 (x, y, z), ..., D12(x, y, z), Dij(x, y, z), ..., DMN(x, y, z)} fitting, to obtain the whole of the measured free-form surface sample face contour;
E、在步骤B的基准线绘制基础上,对得到的曲面零件整体面型轮廓采用网格分割形式对待加工工件进行三维立体建模,根据绘制轮廓线的特征点分布,进行约束化三角网格剖分,提取二维轮廓线的骨架,选取骨架点和采样点投影到三维空间椭球曲面,并引入二面角原则,优化空间离散数据点的三角化算法,最后缝合骨架点获得三维网格曲面表示。E. On the basis of the baseline drawing in step B, the overall surface contour of the obtained surface part is divided into meshes to carry out a three-dimensional modeling of the workpiece to be processed, and a constrained triangular mesh is carried out according to the distribution of the feature points of the drawn contour. Divide, extract the skeleton of the 2D contour line, select the skeleton points and sampling points to project onto the 3D space ellipsoid surface, and introduce the dihedral angle principle to optimize the triangulation algorithm of discrete data points in space, and finally stitch the skeleton points to obtain a 3D mesh Surface representation.
本发明的有益效果:通过设计复杂曲面零件的三维匹配检测工艺,可以充分利用其收敛速度快、鲁棒性好和不易陷入局部最优的特点,测试表明能够获得高精度和高效率的三维匹配结果,采用非接触测量,不损伤元件加工面,通过图像即可判定加工是否合格,可作为在线快速、批量检测的有效手段。Beneficial effects of the invention: by designing the three-dimensional matching detection process of complex curved surface parts, the characteristics of fast convergence speed, good robustness and not easy to fall into local optimum can be fully utilized, and the test shows that high-precision and high-efficiency three-dimensional matching can be obtained. As a result, the non-contact measurement is adopted without damaging the processing surface of the component, and the image can be used to determine whether the processing is qualified or not, which can be used as an effective means for online rapid and batch inspection.
当然,本发明还可有其它多种实施例,在不背离本发明精神及其实质的情况下,熟悉本领域的技术人员当可根据本发明作出各种相应的改变和变形,但这些相应的改变和变形都应属于本发明所附的权利要求的保护范围。Of course, the present invention can also have other various embodiments, without departing from the spirit and essence of the present invention, those skilled in the art can make various corresponding changes and modifications according to the present invention, but these corresponding Changes and deformations should belong to the protection scope of the appended claims of the present invention.
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