CN114509018A - Full-field real-time bridge deflection measurement method - Google Patents

Full-field real-time bridge deflection measurement method Download PDF

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CN114509018A
CN114509018A CN202210293063.5A CN202210293063A CN114509018A CN 114509018 A CN114509018 A CN 114509018A CN 202210293063 A CN202210293063 A CN 202210293063A CN 114509018 A CN114509018 A CN 114509018A
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田垄
杨建斌
章鼎
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China University of Geosciences Beijing
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    • 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
    • G01B11/002Measuring arrangements characterised by the use of optical techniques for measuring two or more coordinates
    • 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
    • G01B11/16Measuring arrangements characterised by the use of optical techniques for measuring the deformation in a solid, e.g. optical strain gauge
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M5/00Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
    • G01M5/0008Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings of bridges
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M5/00Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
    • G01M5/0041Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by determining deflection or stress
    • G01M5/005Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by determining deflection or stress by means of external apparatus, e.g. test benches or portable test systems

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Abstract

本发明提供了一种全场实时桥梁挠度测量方法,其包括如下步骤:测量准备、全场比例因子确定、图像采集、全场图像位移计算以及全场挠度计算。本申请所要求保护的技术方案在相机斜光轴成像的条件下(即成像近大远小效果),分别计算出图像中每个像素点的从图像位移到实际挠度/位移的标定系数(约百万个点),快速实现图像高精度匹配(百万个点实时匹配计算),从而实时计算出全场桥梁挠度。

Figure 202210293063

The invention provides a full-field real-time bridge deflection measurement method, which comprises the following steps: measurement preparation, full-field scale factor determination, image acquisition, full-field image displacement calculation and full-field deflection calculation. The technical solution claimed in the present application calculates the calibration coefficient from the image displacement to the actual deflection/displacement of each pixel in the image under the condition of imaging the oblique optical axis of the camera (that is, the effect of imaging near large and far small) (about 100 10,000 points), quickly achieve high-precision image matching (real-time matching calculation for millions of points), so as to calculate the full-field bridge deflection in real time.

Figure 202210293063

Description

一种全场实时桥梁挠度测量方法A full-field real-time bridge deflection measurement method

技术领域technical field

本发明涉及桥梁检测技术领域,尤其是涉及一种全场实时桥梁挠度测量方法。The invention relates to the technical field of bridge detection, in particular to a full-field real-time bridge deflection measurement method.

背景技术Background technique

基于机器视觉的桥梁挠度检测方法主要分为三步:1)计算出图像位移到实际挠度/位移的比例关系;2)对比变形前后图像,计算出变形后图像中的像素位移;3)结合比例系数和图像位移的关系,最后计算出实际挠度/位移。The bridge deflection detection method based on machine vision is mainly divided into three steps: 1) Calculate the proportional relationship between the image displacement and the actual deflection/displacement; 2) Compare the images before and after deformation, and calculate the pixel displacement in the deformed image; 3) Combine the ratio The relationship between the coefficient and the image displacement, and finally the actual deflection/displacement is calculated.

现有的基于机器视觉的常用桥梁挠度检测技术大体分为两类:1)单点检测技术,即相机视场中的待测点仅有一个。这种方法较易于实现,因为只有一个待测点,可将视场调整到非常小(一般为小于2厘米),由于视场足够的小,可近似认为视场中每个点从图像位移到实际挠度/位移的比例系数一样。再由于视场足够小,所以桥梁发生变形时,图像位移一定是较大的,可用多种图像处理方法提取图像像素位移。2)多点检测技术,即相机视场中同时有多个待测点。由于数字图像相关技术的蓬勃发展,多点测量技术是近年来新兴起的先进测量方法。多点测量时,由于要同时拍摄到多个测量点,相机视场很大,拍摄到的物体近大远小,由此涉及到两个重点问题:不同测量点的比例/标定系数计算、较小图像位移(小于1像素)的匹配计算。针对标定问题,现有文献中的解决方案是应用倾角仪、测距机等辅助设备,针对每个测量点测量出具体的辅助参数,再依次计算出每个测量点的比例系数。针对匹配问题,对于每个测量点应用高精度数字图像匹配算法,可依次测量出每个测量点的图像位移。Existing common bridge deflection detection technologies based on machine vision are roughly divided into two categories: 1) Single-point detection technology, that is, there is only one point to be measured in the camera's field of view. This method is easier to implement, because there is only one point to be measured, and the field of view can be adjusted to a very small (generally less than 2 cm). The actual deflection/displacement scaling factor is the same. And because the field of view is small enough, when the bridge is deformed, the image displacement must be large, and a variety of image processing methods can be used to extract the image pixel displacement. 2) Multi-point detection technology, that is, there are multiple points to be measured in the camera field of view at the same time. Due to the vigorous development of digital image correlation technology, multi-point measurement technology is an advanced measurement method emerging in recent years. During multi-point measurement, due to the need to capture multiple measurement points at the same time, the camera has a large field of view, and the objects captured are close to large and far small, which involves two key issues: the calculation of the ratio/calibration coefficient of different measurement points, the comparison of Matching calculations for small image displacements (less than 1 pixel). For the calibration problem, the solution in the existing literature is to use auxiliary equipment such as inclinometers and rangefinders to measure specific auxiliary parameters for each measurement point, and then calculate the proportional coefficient of each measurement point in turn. For the matching problem, a high-precision digital image matching algorithm is applied to each measurement point, and the image displacement of each measurement point can be measured in turn.

目前,现有技术存在如下缺点或不足:At present, the prior art has the following shortcomings or deficiencies:

(1)、现有的单点检测技术,由于视野范围很小,需要镜头焦距非常大,造成相机对焦困难,现场测量时需要有经验的操作人员进行设备调试。一般而言,在桥梁等大型建筑物进行挠度测量时,需要同时检测多个点或整个面,这种基于单点检测技术的设备,就需要同时架设多台设备,不仅架设困难还需要多名操作人员,且不同的设备之间不能做到数据的绝对同步,较难从整体上分析桥梁等大型结构体的整体变形趋势。(1) The existing single-point detection technology requires a very large focal length of the lens due to the small field of view, which makes it difficult for the camera to focus. Experienced operators are required to debug the equipment during on-site measurement. Generally speaking, when measuring the deflection of large buildings such as bridges, it is necessary to detect multiple points or the entire surface at the same time. This kind of equipment based on single-point detection technology needs to erect multiple devices at the same time, which is not only difficult to erect but also requires multiple It is difficult to analyze the overall deformation trend of large structures such as bridges as a whole.

(2)、现有的多点检测技术,一般是指数量有限的几个关键部位的测量点(比如测量桥梁上的1/4跨、跨中、3/4跨位置)。随着大数据时代的来临,仅有的几个关键位置的数据,很难满足现有的检测需求。如果将多点检测技术,直接用于桥梁全场挠度的实时测量,主要有两大无法弥补的不足。不足一:关于标定。相机光心与桥梁上的被测点一般呈斜光轴成像,即在相机中成像的桥梁有近大远小的效果,每个像素点从像素位移换算到实际挠度/位移都有不同的比例系数。经典的单点标定方案需要对每个待测点测量其到相机光心的距离,并且用倾角仪测量出到水平地面的垂直夹角,然后应用这些辅助参数,计算出单个测点的具体比例系数。在全场测量时,假设相机分辨率为500万像素,待测的桥平面占图像1/3,即约为167万像素点,对这167万个待测点分别测距、测角度是不现实的。不足二:关于匹配。桥梁的挠度测量讲究实效性,需要进行实时原位测量。多点检测技术中的变形前后图像的匹配算法,一般使用已经比较成熟的数字图像相关方法即可以实现高精度匹配。但是,基于多点检测技术的系统中待测量的往往仅有几个点(一般不超过10个),计算量不大,可实现实时计算,但是以前面的例子看,全场匹配大概需要计算167万个像素点,这里需要对全场的图像匹配算法进行优化,实现不损失匹配精度的超级快速算法。(2) The existing multi-point detection technology generally refers to a limited number of measurement points of several key parts (such as measuring the 1/4 span, mid-span, and 3/4 span positions on a bridge). With the advent of the era of big data, it is difficult to meet the existing detection needs with only a few key locations of data. If the multi-point detection technology is directly used for the real-time measurement of the bridge's full-field deflection, there are two main insurmountable deficiencies. Less than one: about calibration. The optical center of the camera and the measured point on the bridge are generally imaged at an oblique optical axis, that is, the bridge imaged in the camera has the effect of being near big and far small, and each pixel point has a different scale factor from the pixel displacement conversion to the actual deflection/displacement . The classic single-point calibration scheme needs to measure the distance from each point to be measured to the optical center of the camera, and use the inclinometer to measure the vertical angle to the horizontal ground, and then apply these auxiliary parameters to calculate the specific ratio of a single measurement point. coefficient. In the whole field measurement, it is assumed that the resolution of the camera is 5 million pixels, and the bridge plane to be measured accounts for 1/3 of the image, which is about 1.67 million pixels. realistic. Less than two: about matching. The deflection measurement of bridges is practical, and real-time in-situ measurement is required. The matching algorithm of the images before and after deformation in the multi-point detection technology generally uses the relatively mature digital image correlation method to achieve high-precision matching. However, in the system based on multi-point detection technology, there are often only a few points (generally no more than 10) to be measured, and the calculation amount is not large, and real-time calculation can be realized. There are 1.67 million pixels. Here, it is necessary to optimize the image matching algorithm of the whole field to achieve a super fast algorithm that does not lose matching accuracy.

公开于该背景技术部分的信息仅仅旨在加深对本发明的总体背景技术的理解,而不应当被视为承认或以任何形式暗示该信息构成已为本领域技术人员所公知的现有技术。The information disclosed in this Background section is only for enhancement of understanding of the general background of the invention and should not be taken as an acknowledgement or any form of suggestion that this information forms the prior art already known to a person skilled in the art.

发明内容SUMMARY OF THE INVENTION

本发明的目的在于提供一种全场实时桥梁挠度测量方法,该方法在相机斜光轴成像的条件下(即成像近大远小效果),分别计算出图像中每个像素点的从图像位移到实际挠度/位移的标定系数(约百万个点),快速实现图像高精度匹配(百万个点实时匹配计算),从而实时计算出全场桥梁挠度。The purpose of the present invention is to provide a full-field real-time bridge deflection measurement method, which calculates the displacement of each pixel in the image from image to The calibration coefficient of actual deflection/displacement (about one million points) can quickly realize high-precision image matching (real-time matching calculation of one million points), so as to calculate the deflection of the whole bridge in real time.

为了实现上述目的,本发明采用以下技术方案:In order to achieve the above object, the present invention adopts the following technical solutions:

本发明提供一种全场实时桥梁挠度测量方法,所述测量方法包括如下步骤:The present invention provides a full-field real-time bridge deflection measurement method, which comprises the following steps:

S1:测量准备:选择焦距适合测量的定焦镜头,将相机安装在设定位置,调整镜头焦距和光圈,使得相机能够采集到待测的桥梁全场图像;S1: Measurement preparation: Select a fixed-focus lens with a focal length suitable for measurement, install the camera at the set position, adjust the lens focal length and aperture, so that the camera can capture the full-field image of the bridge to be measured;

S2:全场比例因子确定:首先指定桥梁上的感兴趣带,用激光测距仪测量桥上若干个点到相机的距离,然后根据桥梁表面各点的几何关系,推导出感兴趣带上每个测量点到相机的距离,最后利用斜光轴单点标定方法计算出感兴趣带上的所有比例因子;S2: Determination of the scale factor of the whole field: First specify the zone of interest on the bridge, measure the distance from several points on the bridge to the camera with a laser rangefinder, and then derive each point on the zone of interest according to the geometric relationship of the points on the bridge surface. The distance from each measurement point to the camera, and finally all the scale factors on the band of interest are calculated by the single-point calibration method of the oblique optical axis;

S3:图像采集:在加载过程中采集桥梁的变形前后图像;S3: Image acquisition: the images before and after the deformation of the bridge are collected during the loading process;

S4:全场图像位移计算:使用快速数字图像相关算法匹配分析计算桥梁感兴趣带上对应的每个像素的图像位移;S4: full-field image displacement calculation: use fast digital image correlation algorithm matching analysis to calculate the image displacement of each pixel corresponding to the band of interest of the bridge;

S5:全场挠度计算:将感兴趣带上每个点的图像位移及其比例因子转换为其实际的挠度/位移。S5: Full-field deflection calculation: Convert the image displacement and its scale factor of each point on the belt of interest to its actual deflection/displacement.

优选地,步骤S2中,用激光测距仪测量桥上至少三个点到相机的距离。Preferably, in step S2, a laser rangefinder is used to measure the distances from at least three points on the bridge to the camera.

优选地,步骤S2中,利用斜光轴单点标定方法计算出感兴趣带上的所有比例因子的计算公式如下:Preferably, in step S2, the calculation formula for calculating all the scale factors on the band of interest by using the oblique optical axis single-point calibration method is as follows:

Figure BDA0003562230360000041
Figure BDA0003562230360000041

式中:L为从待测单点到相机光心的距离,KSF为从图像像素位移到实际物理位移的比例系数,x为待测点在图像中的横坐标,xc为图像中心横坐标位置,y为待测点在图像中的纵坐标,yc为图像中心纵坐标位置,lps为相机的像元物理尺寸,f为镜头焦距,β为相机与水平地面的垂直夹角。In the formula: L is the distance from the single point to be measured to the optical center of the camera, K SF is the proportional coefficient from the pixel displacement of the image to the actual physical displacement, x is the abscissa of the point to be measured in the image, and x c is the horizontal axis of the image center. Coordinate position, y is the ordinate of the point to be measured in the image, yc is the ordinate position of the image center, l ps is the physical size of the camera pixel, f is the focal length of the lens, and β is the vertical angle between the camera and the horizontal ground.

优选地,从待测单点到相机光心的距离L的计算方法如下:Preferably, the calculation method of the distance L from the single point to be measured to the optical center of the camera is as follows:

分别建立世界坐标系Oc和图像坐标系o,首先在待测的带状区域上选取一系列标识点Pn,并在相机采集到的图像上获取各标识点对应的像素点pn,得到其图像坐标(xi,yi),将图像坐标变换到图像坐标系下的三维坐标为pi′((xi-x0)lps,(yi-y0)lps,f),其中(x0,y0)为图像中心坐标,lps为单个像素的实际物理尺寸,f为相机焦距;使用激光测距机测得各标定点到相机光心之间的距离Li,则选取的标识点的从图像三维坐标到世界三维坐标的放大倍数Mi可以通过如下公式计算得到:The world coordinate system O c and the image coordinate system o are respectively established. First, a series of identification points P n are selected on the strip area to be measured, and the pixel points P n corresponding to the identification points are obtained on the image collected by the camera to obtain Its image coordinates (x i , y i ), transform the image coordinates to the three-dimensional coordinates in the image coordinate system as p i ′((x i -x 0 )l ps ,(y i -y 0 )l ps ,f) , where (x 0 , y 0 ) is the image center coordinate, lps is the actual physical size of a single pixel, and f is the camera focal length; use a laser rangefinder to measure the distance Li between each calibration point and the camera optical center, Then the magnification M i of the selected identification point from the three-dimensional coordinates of the image to the three-dimensional coordinates of the world can be calculated by the following formula:

Figure BDA0003562230360000042
Figure BDA0003562230360000042

根据相似三角形原理,各个标识点在世界坐标系下的三维世界坐标可以表示为:According to the principle of similar triangles, the three-dimensional world coordinates of each identification point in the world coordinate system can be expressed as:

Pi=p′i·Mi P i =p′ i ·M i

为了得到待测区域上所有点的放大倍数M,在世界坐标系近似拟合出被测带状区域的三维空间直线方程,设其表达式为:In order to obtain the magnification M of all points on the area to be measured, the three-dimensional space straight line equation of the measured strip area is approximately fitted in the world coordinate system, and its expression is set as:

Figure BDA0003562230360000051
Figure BDA0003562230360000051

其中,(xb,yb,zb)为选取的所有标识点坐标的均值;(d1,d2,d3)为空间三维直线的方向向量;为了得到方程中未知的方向向量,采用奇异值分解的方法计算;Among them, (x b , y b , z b ) is the mean value of the coordinates of all the selected points; (d 1 , d 2 , d 3 ) is the direction vector of the three-dimensional straight line in space; in order to obtain the unknown direction vector in the equation, use Singular value decomposition method calculation;

在得到待测桥梁表面的空间方程后,可以求得桥梁上任意点Q(图像坐标q(x,y))到相机光心的距离LQ;该点在世界坐标系的三维坐标为:After obtaining the space equation of the bridge surface to be measured, the distance L Q from any point Q on the bridge (image coordinates q(x, y)) to the optical center of the camera can be obtained; the three-dimensional coordinates of this point in the world coordinate system are:

Q=((x-x0)lps,(y-y0)lps,f)·MQ=((x-x0)l ps , (yy 0 )l ps , f)·M

将其带入直线方程中可以解得MQ,然后可以计算出点Q的世界坐标,则:Putting it into the equation of the line can solve M Q , and then the world coordinates of the point Q can be calculated, then:

Figure BDA0003562230360000052
Figure BDA0003562230360000052

优选地,采用奇异值分解的计算方法具体为:对所有点的标准化坐标形成的矩阵进行奇异值分解后,最大奇异值对应的左奇异向量即为方向向量。Preferably, the calculation method using singular value decomposition is specifically: after singular value decomposition is performed on the matrix formed by the standardized coordinates of all points, the left singular vector corresponding to the largest singular value is the direction vector.

采用上述技术方案,本发明具有如下有益效果:Adopt above-mentioned technical scheme, the present invention has following beneficial effect:

1)使用简单:主要部件为相机并且视场很大,不需要分别对各个测量进行布控安装,实现“可见即可测”。1) Easy to use: The main component is a camera and has a large field of view, so there is no need to control and install each measurement separately, so as to achieve "visible measurement".

2)全场测量:相机采集图像中每个像素点都可以在不使用辅助设备的条件下准确标定,即所有像素点可换算得实际位移/挠度。2) Full-field measurement: Each pixel in the image captured by the camera can be accurately calibrated without using auxiliary equipment, that is, all pixels can be converted into actual displacement/deflection.

3)实时测量:高效稳健的初值传递策略,保证了海量数据精确图像匹配运算的速度。3) Real-time measurement: An efficient and robust initial value transfer strategy ensures the speed of accurate image matching operations for massive data.

附图说明Description of drawings

为了更清楚地说明本发明具体实施方式或现有技术中的技术方案,下面将对具体实施方式或现有技术描述中所需要使用的附图作简单的介绍,显而易见地,下面描述中的附图是本发明的一些实施方式,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to illustrate the specific embodiments of the present invention or the technical solutions in the prior art more clearly, the following will briefly introduce the accompanying drawings used in the description of the specific embodiments or the prior art. Obviously, the accompanying drawings in the following description The drawings are some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained based on these drawings without creative efforts.

图1为本发明全场实时桥梁挠度测量方法的整体流程图;Fig. 1 is the overall flow chart of the whole field real-time bridge deflection measurement method of the present invention;

图2为本发明计算每个测量点到相机光心距离L的示意图;Fig. 2 is the schematic diagram that the present invention calculates each measuring point to the optical center distance L of camera;

图3为本发明初始参数传递策略的流程图。FIG. 3 is a flow chart of the initial parameter transmission strategy of the present invention.

具体实施方式Detailed ways

下面将结合附图对本发明的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

以下结合附图对本发明的具体实施方式进行详细说明。应当理解的是,此处所描述的具体实施方式仅用于说明和解释本发明,并不用于限制本发明。The specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings. It should be understood that the specific embodiments described herein are only used to illustrate and explain the present invention, but not to limit the present invention.

结合图1所示,本发明提供了一种全场实时桥梁挠度测量方法,该测量方法包括如下步骤:1, the present invention provides a full-field real-time bridge deflection measurement method, which includes the following steps:

S1:测量准备:选择焦距适合测量的定焦镜头,将相机3安装在设定位置,调整镜头焦距和光圈,使得相机3能够采集到待测的桥梁全场图像;S1: Measurement preparation: select a fixed-focus lens with a focal length suitable for measurement, install camera 3 at the set position, adjust the focal length and aperture of the lens, so that camera 3 can capture the full-field image of the bridge to be measured;

S2:全场比例因子确定:首先指定桥梁1上的感兴趣带,用激光测距仪2测量桥上若干个点到相机3的距离,然后根据桥梁1表面各点的几何关系,推导出感兴趣带上每个测量点到相机3的距离,最后利用斜光轴单点标定方法计算出感兴趣带上的所有比例因子;S2: Determination of the scale factor of the whole field: First specify the zone of interest on the bridge 1, use the laser rangefinder 2 to measure the distance from several points on the bridge to the camera 3, and then derive the sense of The distance from each measurement point on the belt of interest to the camera 3, and finally all the scale factors on the belt of interest are calculated by using the single-point calibration method of the oblique optical axis;

S3:图像采集:在加载过程中采集桥梁的变形前后图像;S3: Image acquisition: the images before and after the deformation of the bridge are collected during the loading process;

S4:全场图像位移计算:使用快速数字图像相关算法匹配分析计算桥梁感兴趣带上对应的每个像素的图像位移;S4: full-field image displacement calculation: use fast digital image correlation algorithm matching analysis to calculate the image displacement of each pixel corresponding to the band of interest of the bridge;

S5:全场挠度计算:将感兴趣带上每个点的图像位移及其比例因子转换为其实际的挠度/位移。计算机4用于处理激光测距仪2测得的数据并通过直线拟合得到目标直线上任意点到相机3靶面的距离,同时处理由相机3采集到的图像数据,利用单点标定方法求得任意点的挠度信息。S5: Full-field deflection calculation: Convert the image displacement and its scale factor of each point on the belt of interest to its actual deflection/displacement. The computer 4 is used to process the data measured by the laser rangefinder 2 and obtain the distance from any point on the target line to the target surface of the camera 3 through straight line fitting. Obtain deflection information at any point.

优选地,步骤S2中,用激光测距仪测量桥上至少三个点到相机的距离。Preferably, in step S2, a laser rangefinder is used to measure the distances from at least three points on the bridge to the camera.

优选地,步骤S2中,利用斜光轴单点标定方法计算出感兴趣带上的所有比例因子的计算公式如下:Preferably, in step S2, the calculation formula for calculating all the scale factors on the band of interest by using the oblique optical axis single-point calibration method is as follows:

Figure BDA0003562230360000071
Figure BDA0003562230360000071

式中:L为从待测单点到相机光心的距离,KSF为从图像像素位移到实际物理位移的比例系数,x为待测点在图像中的横坐标,xc为图像中心横坐标位置,y为待测点在图像中的纵坐标,yc为图像中心纵坐标位置,lps为相机的像元物理尺寸,f为镜头焦距,β为相机与水平地面的垂直夹角。In the formula: L is the distance from the single point to be measured to the optical center of the camera, K SF is the proportional coefficient from the pixel displacement of the image to the actual physical displacement, x is the abscissa of the point to be measured in the image, and x c is the horizontal axis of the image center. Coordinate position, y is the ordinate of the point to be measured in the image, yc is the ordinate position of the image center, l ps is the physical size of the camera pixel, f is the focal length of the lens, and β is the vertical angle between the camera and the horizontal ground.

优选地,从待测单点到相机光心的距离L的计算方法如下:Preferably, the calculation method of the distance L from the single point to be measured to the optical center of the camera is as follows:

结合图2所示,分别建立世界坐标系Oc和图像坐标系o,首先在待测的带状区域上选取一系列标识点Pn,并在相机采集到的图像上获取各标识点对应的像素点pn,得到其图像坐标(xi,yi),将图像坐标变换到图像坐标系下的三维坐标为pi′((xi-x0)lps,(yi-y0)lps,f),其中(x0,y0)为图像中心坐标,lps为单个像素的实际物理尺寸,f为相机焦距;使用激光测距机测得各标定点到相机光心之间的距离Li,则选取的标识点的从图像三维坐标到世界三维坐标的放大倍数Mi可以通过如下公式计算得到:2, respectively establish the world coordinate system O c and the image coordinate system o, first select a series of identification points P n on the band area to be measured, and obtain the corresponding identification points on the image collected by the camera. Pixel point p n , get its image coordinates (x i , y i ), transform the image coordinates into three-dimensional coordinates in the image coordinate system as p i ′((x i -x 0 )l ps ,(y i -y 0 )l ps ,f), where (x 0 , y 0 ) is the image center coordinate, l ps is the actual physical size of a single pixel, and f is the camera focal length; use a laser rangefinder to measure the distance between each calibration point and the camera’s optical center The distance L i between the selected identification points can be calculated by the following formula :

Figure BDA0003562230360000081
Figure BDA0003562230360000081

根据相似三角形原理,各个标识点在世界坐标系下的三维世界坐标可以表示为:According to the principle of similar triangles, the three-dimensional world coordinates of each identification point in the world coordinate system can be expressed as:

Pi=p′i·Mi P i =p′ i ·M i

为了得到待测区域上所有点的放大倍数M,在世界坐标系近似拟合出被测带状区域的三维空间直线方程,设其表达式为:In order to obtain the magnification M of all points on the area to be measured, the three-dimensional space straight line equation of the measured strip area is approximately fitted in the world coordinate system, and its expression is set as:

Figure BDA0003562230360000082
Figure BDA0003562230360000082

其中,(xb,yb,zb)为选取的所有标识点坐标的均值;(d1,d2,d3)为空间三维直线的方向向量;为了得到方程中未知的方向向量,采用奇异值分解的方法计算;Among them, (x b , y b , z b ) is the mean value of the coordinates of all the selected points; (d 1 , d 2 , d 3 ) is the direction vector of the three-dimensional straight line in space; in order to obtain the unknown direction vector in the equation, use Singular value decomposition method calculation;

在得到待测桥梁表面的空间方程后,可以求得桥梁上任意点Q(图像坐标q(x,y))到相机光心的距离LQ;该点在世界坐标系的三维坐标为:After obtaining the space equation of the bridge surface to be measured, the distance L Q from any point Q on the bridge (image coordinates q(x, y)) to the optical center of the camera can be obtained; the three-dimensional coordinates of this point in the world coordinate system are:

Q=((x-x0)lps,(y-y0)lps,f)·MQ=((x-x0)l ps , (yy 0 )l ps , f)·M

将其带入直线方程中可以解得MQ,然后可以计算出点Q的世界坐标,则:Putting it into the equation of the line can solve M Q , and then the world coordinates of the point Q can be calculated, then:

Figure BDA0003562230360000083
Figure BDA0003562230360000083

优选地,采用奇异值分解的计算方法具体为:对所有点的标准化坐标形成的矩阵进行奇异值分解后,最大奇异值对应的左奇异向量即为方向向量。Preferably, the calculation method using singular value decomposition is specifically: after singular value decomposition is performed on the matrix formed by the standardized coordinates of all points, the left singular vector corresponding to the largest singular value is the direction vector.

结合图3所示,经典的高精度数字图像相关方法(DIC),可对各测量点单独进行实时高精度匹配。该方法的核心是一种迭代求解的数值方法,即初始值越准确,迭代次数越少,计算越快速。本发明根据全场挠度实时测量的特点,给出一种符合全场挠度测量实际的初值传递方案。Combined with Figure 3, the classical high-precision digital image correlation method (DIC) can perform real-time high-precision matching for each measurement point individually. The core of this method is an iterative numerical method, that is, the more accurate the initial value, the less iterations, and the faster the calculation. According to the characteristics of the real-time measurement of the full-field deflection, the invention provides an initial value transmission scheme that conforms to the actual full-field deflection measurement.

首先,从图像的待测区域中选择几个具有高平均灰度梯度的点作为计算种子点;然后,精确匹配计算参考图像和变形后第一幅图像(即前两帧)中这些种子点的初始位移。获得种子点的初始位移以后,除种子点以外剩余的计算点的初始位移可以根据经典DIC方案从它们的相邻点获得。最后,对于前两帧以外的后续图像,每个点的初始位移值直接采用前两张图像中获得的位移确定。通过使用运动估计的方法,按时间顺序传递初始位移,可以有效并且可靠地获得各点快速匹配计算所需的初始估计。在大多数情况下,这种方法非常稳健有效。初始参数传递策略描述如图3。First, select several points with high average gray gradient from the area to be tested as the calculation seed points; then, accurately match the calculation reference image and the first image after deformation (ie, the first two frames) of these seed points initial displacement. After obtaining the initial displacement of the seed point, the initial displacement of the remaining calculated points except the seed point can be obtained from their neighboring points according to the classical DIC scheme. Finally, for subsequent images beyond the first two frames, the initial displacement value of each point is directly determined using the displacement obtained in the first two images. By using the method of motion estimation and transferring the initial displacements in time sequence, the initial estimation required for the fast matching calculation of each point can be obtained efficiently and reliably. In most cases, this method is very robust and efficient. The initial parameter transfer strategy is described in Figure 3.

在实时挠度测量中,相邻两帧图像之间的采集时间间隔很短。因此,三个相邻图像帧中的相应点的位移可以近似地视为关于时间的线性函数。将第(n-2)帧和第(n-1)帧图像中一个点的位移分别表示为(un-2,vn-2)和(un-1,vn-1),第n帧中同一点的位移(un,vn),可以近似为:In real-time deflection measurement, the acquisition time interval between two adjacent frames is very short. Therefore, the displacement of corresponding points in three adjacent image frames can be approximately regarded as a linear function with respect to time. Denote the displacement of a point in the (n-2)th frame and the (n-1)th frame image as (u n-2 ,v n-2 ) and (u n-1 ,v n-1 ), respectively. The displacement (u n , v n ) of the same point in n frames can be approximated as:

Figure BDA0003562230360000091
Figure BDA0003562230360000091

最后应说明的是:以上各实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述各实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分或者全部技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的范围。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, but not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that: The technical solutions described in the foregoing embodiments can still be modified, or some or all of the technical features thereof can be equivalently replaced; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the technical solutions of the embodiments of the present invention. scope.

Claims (5)

1. A full-field real-time bridge deflection measurement method is characterized by comprising the following steps:
s1: preparation of measurement: selecting a fixed-focus lens with a focal length suitable for measurement, installing a camera at a set position, and adjusting the focal length and the aperture of the lens to enable the camera to acquire a full-field image of the bridge to be measured;
s2: determining a full-field scale factor: firstly, an interesting belt on a bridge is appointed, a laser range finder is used for measuring the distance from a plurality of points on the bridge to a camera, then the distance from each measuring point on the interesting belt to the camera is deduced according to the geometric relation of the points on the surface of the bridge, and finally all scale factors on the interesting belt are calculated by utilizing an oblique optical axis single-point calibration method;
s3: image acquisition: acquiring images before and after the deformation of the bridge in the loading process;
s4: full-field image displacement calculation: calculating the image displacement of each corresponding pixel on the bridge interest zone by using a rapid digital image correlation algorithm matching analysis;
s5: and (3) calculating the full-field deflection: the image displacement of each point on the strip of interest and its scaling factor are converted to its actual deflection/displacement.
2. The full-field real-time bridge deflection measuring method according to claim 1, wherein in step S2, the distances from at least three points on the bridge to the camera are measured by a laser range finder.
3. The full-field real-time bridge deflection measurement method according to claim 1, wherein in step S2, the calculation formula for calculating all the scale factors on the interest zone by using the oblique optical axis single-point calibration method is as follows:
Figure FDA0003562230350000011
in the formula: l is the distance from the single point to be measured to the optical center of the camera, KSFIs a proportionality coefficient from image pixel displacement to actual physical displacement, x is the abscissa of the point to be measured in the image, xcIs the horizontal coordinate position of the center of the image, y is the vertical coordinate of the point to be measured in the image, ycIs the image center ordinate position,/psIs the physical size of the pixel of the camera, f is the focal length of the lens, and beta is the vertical included angle between the camera and the horizontal ground.
4. The full-field real-time bridge deflection measurement method according to claim 3, wherein the distance L from the single point to be measured to the optical center of the camera is calculated as follows:
respectively establishing a world coordinate system OcAnd an image coordinate system o, firstly selecting a series of identification points P on the strip-shaped area to be detectednAnd acquiring pixel points p corresponding to the identification points on the image acquired by the cameranTo obtain the image coordinates (x) thereofi,yi) Transforming the image coordinate into three-dimensional coordinate p in the image coordinate systemi′((xi-x0)lps,(yi-y0)lpsF) wherein (x)0,y0) As the image center coordinates,/psAs a single pixelF is the camera focal length; measuring the distance L between each calibration point and the optical center of the camera by using a laser range finderiThen the magnification M from the image three-dimensional coordinate to the world three-dimensional coordinate of the selected identification pointiCan be calculated by the following formula:
Figure FDA0003562230350000021
according to the principle of similar triangles, the three-dimensional world coordinates of each identification point in the world coordinate system can be expressed as follows:
Pi=p′i·Mi
in order to obtain the amplification factor M of all points on the region to be measured, a three-dimensional space linear equation of the measured banded region is approximately fitted in a world coordinate system, and the expression is set as follows:
Figure FDA0003562230350000022
wherein (x)b,yb,zb) The mean value of the coordinates of all the selected identification points; (d)1,d2,d3) The direction vector of the space three-dimensional straight line is shown; in order to obtain unknown direction vectors in the equation, calculating by adopting a singular value decomposition method;
after obtaining the space equation of the surface of the bridge to be measured, the distance L from any point Q (image coordinate Q (x, y)) on the bridge to the optical center of the camera can be obtainedQ(ii) a The three-dimensional coordinates of the point in the world coordinate system are:
Q=((x-x0)lps,(y-y0)lps,f)·M
the M can be solved by substituting the linear equation into the linear equationQThen, the world coordinates of point Q can be calculated, then:
Figure FDA0003562230350000031
5. the full-field real-time bridge deflection measurement method according to claim 4, wherein the calculation method adopting singular value decomposition specifically comprises: after singular value decomposition is carried out on a matrix formed by the standardized coordinates of all the points, the left singular vector corresponding to the maximum singular value is the direction vector.
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