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CN110532725B - Engineering structure mechanical parameter identification method and system based on digital image - Google Patents

Engineering structure mechanical parameter identification method and system based on digital image Download PDF

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CN110532725B
CN110532725B CN201910842926.8A CN201910842926A CN110532725B CN 110532725 B CN110532725 B CN 110532725B CN 201910842926 A CN201910842926 A CN 201910842926A CN 110532725 B CN110532725 B CN 110532725B
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李炜明
蔡利
马腾飞
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Wuhan Polytechnic University
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Abstract

公开了一种基于数字图像的工程结构力学参数识别方法及系统。该方法可以包括:步骤1:计算相关变形参数的计算公式;步骤2:根据位移初始值与相关变形参数,计算位移精确值,获得位移场;步骤3:根据位移场,通过应变窗算法计算位移梯度;步骤4:根据位移梯度,计算应变场。本发明通过分析比较基于参考图像的其余图像的变形数据,实现基于数字图像识别技术于结构构件的变形的监测与预警。

Figure 201910842926

A method and system for identifying mechanical parameters of engineering structures based on digital images are disclosed. The method may include: step 1: calculating the calculation formula of the relevant deformation parameters; step 2: calculating the precise value of the displacement according to the initial value of the displacement and the relevant deformation parameters, and obtaining the displacement field; step 3: calculating the displacement through the strain window algorithm according to the displacement field Gradient; Step 4: Calculate the strain field according to the displacement gradient. The invention realizes the monitoring and early warning of the deformation of the structural component based on the digital image recognition technology by analyzing and comparing the deformation data of other images based on the reference image.

Figure 201910842926

Description

基于数字图像的工程结构力学参数识别方法及系统Method and system for identifying mechanical parameters of engineering structures based on digital images

技术领域technical field

本发明涉及工程结构监测领域,更具体地,涉及一种基于数字图像的工程结构力学参数识别方法及系统。The invention relates to the field of engineering structure monitoring, and more specifically, to a method and system for identifying mechanical parameters of engineering structures based on digital images.

背景技术Background technique

近年来,随着我国建筑事业的蓬勃发展,建设规模不断扩大,建设速度日新月异。与此同时,结构因承受荷载而产生较大的变形将直接影响结构的强度及稳定性,使工程产生相关安全隐患问题。目前,常规解决工程中结构安全问题方法多采用理论分析计算与现场试验检测两种。其中运用有限元理论进行的相关数值模拟是理论分析计算的典型代表,但该方法计算时设置的计算条件多为理想受力状态,较难将结构构件的实际复杂受力情况进行模拟,因而对同一结构构件进行数值模拟分析计算时得出的结果与实际值存在一定的偏差;而现场试验检测方法通常是对结构直接进行量测并得出其相关力学参数,该结果具有较高的可信度。In recent years, with the vigorous development of my country's construction industry, the construction scale has been continuously expanded and the construction speed has been changing with each passing day. At the same time, the large deformation of the structure due to the load will directly affect the strength and stability of the structure, causing related safety hazards in the project. At present, the conventional methods for solving structural safety problems in engineering mostly use theoretical analysis and calculation and on-site test and detection. Among them, the relevant numerical simulation using finite element theory is a typical representative of theoretical analysis and calculation, but the calculation conditions set by this method are mostly ideal stress states, and it is difficult to simulate the actual complex stress conditions of structural components. There is a certain deviation between the results obtained by numerical simulation analysis and calculation of the same structural member and the actual value; while the field test detection method usually directly measures the structure and obtains its relevant mechanical parameters, the results are highly credible Spend.

结构承受相关荷载后将产生一定的变形,故结构变形测量是现场结构试验测量中一项主要的试验内容。按照测量仪器是否与被测结构表面有直接接触,可将相关测量方法分为接触式、非接触式两类测量方法。其中接触式测量仪器以位移计、传感器及应变片等为代表,具有操作简单、直接性强、得到的实测数据可靠性较高等优点,被一直沿用与发展。相应地非接触式测量方法多利用如超声波、电磁波及光波等各种波进行检测,常见仪器有全站仪、GPS、超声波无损检测仪等。且使用该方法可弥补采用接触式测量方法不适用的高温、辐射及腐蚀性等特殊作业环境的缺陷。虽该方法可解决较多的实际工程测量难题,但其适用条件、范围及精度等仍具有一定局限性。因此,有必要开发一种基于数字图像的工程结构力学参数识别方法及系统。The structure will produce a certain deformation after bearing the relevant load, so the structural deformation measurement is a main test content in the on-site structural test measurement. According to whether the measuring instrument is in direct contact with the surface of the structure to be measured, the relevant measurement methods can be divided into contact and non-contact measurement methods. Among them, contact measuring instruments are represented by displacement meters, sensors and strain gauges, which have the advantages of simple operation, strong directness, and high reliability of measured data obtained, and have been used and developed all the time. Correspondingly, non-contact measurement methods use various waves such as ultrasonic waves, electromagnetic waves, and light waves for detection. Common instruments include total stations, GPS, and ultrasonic nondestructive testing instruments. And the use of the method can make up for the defects of special working environments such as high temperature, radiation and corrosiveness that are not applicable to the contact measurement method. Although this method can solve many practical engineering measurement problems, its applicable conditions, scope and accuracy still have certain limitations. Therefore, it is necessary to develop a method and system for identifying mechanical parameters of engineering structures based on digital images.

公开于本发明背景技术部分的信息仅仅旨在加深对本发明的一般背景技术的理解,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 the background of the present invention is only intended to deepen the understanding of the general background of the present invention, and should not be regarded as an acknowledgment or any form of suggestion that the information constitutes the prior art known to those skilled in the art.

发明内容Contents of the invention

本发明提出了一种基于数字图像的工程结构力学参数识别方法及系统,其能够通过分析比较基于参考图像的其余图像的变形数据,实现基于数字图像识别技术于结构构件的变形的监测与预警。The present invention proposes a method and system for identifying mechanical parameters of engineering structures based on digital images, which can realize monitoring and early warning of deformation of structural components based on digital image recognition technology by analyzing and comparing deformation data of other images based on reference images.

根据本发明的一方面,提出了一种基于数字图像的工程结构力学参数识别方法。所述方法可以包括:步骤1:计算相关变形参数的计算公式;步骤2:根据位移初始值与所述相关变形参数,计算位移精确值,获得位移场;步骤3:根据所述位移场,通过应变窗算法计算位移梯度;步骤4:根据所述位移梯度,计算应变场。According to one aspect of the present invention, a method for identifying mechanical parameters of engineering structures based on digital images is proposed. The method may include: step 1: calculating the calculation formula of the relevant deformation parameters; step 2: calculating the precise value of the displacement according to the initial value of the displacement and the relevant deformation parameters, and obtaining the displacement field; step 3: according to the displacement field, by The strain window algorithm calculates the displacement gradient; Step 4: Calculate the strain field according to the displacement gradient.

优选地,所述步骤2包括:步骤201:确定计算子区,计算归一化互相关法度量值;步骤202:根据所述归一化互相关法度量值,确定所述计算子区的种子点,计算所述种子点的相关变形参数与位移精确值;步骤203:确定距离所述种子点距离最近的多个未计算点,计算所述多个未计算点对应的相关变形参数;步骤204:标记相关变形参数最小的未计算点为种子点,计算所述种子点的位移精确值;步骤205:确定距离多个种子点距离最近的多个未计算点,重复步骤203-204;步骤206:重复步骤205,直至所述计算子区中不包含未计算点。Preferably, the step 2 includes: Step 201: Determine the calculation sub-region, and calculate the normalized cross-correlation measurement value; Step 202: Determine the seed of the calculation sub-region according to the normalized cross-correlation measurement value point, calculate the relevant deformation parameters and accurate displacement values of the seed point; step 203: determine a plurality of uncalculated points closest to the seed point, and calculate the relevant deformation parameters corresponding to the plurality of uncalculated points; step 204 : Mark the uncalculated point with the smallest relative deformation parameter as the seed point, and calculate the exact displacement value of the seed point; Step 205: Determine a plurality of uncalculated points closest to the multiple seed points, and repeat steps 203-204; Step 206 : Repeat step 205 until the calculation sub-area does not contain uncalculated points.

优选地,通过公式(1)计算相关变形参数:Preferably, the relevant deformation parameters are calculated by formula (1):

Figure BDA0002194282550000031
Figure BDA0002194282550000031

其中,CLS为相关变形参数,

Figure BDA0002194282550000032
为任意一点Q的坐标,
Figure BDA0002194282550000033
为变形后Q'对应的坐标,f和g分别为在指定位置的参考和当前图像灰度强度函数,fm为参考图像子区灰度平均值,gm为当前变形图像子区的灰度平均值。Among them, C LS is the relevant deformation parameter,
Figure BDA0002194282550000032
is the coordinate of any point Q,
Figure BDA0002194282550000033
is the coordinate corresponding to Q' after deformation, f and g are the reference and current image gray intensity functions at the specified position respectively, f m is the average gray value of the reference image sub-area, and g m is the gray level of the current deformed image sub-area average value.

优选地,所述步骤3包括:根据所述位移场进行最小二乘平面拟合,获得降噪后的位移值;根据所述降噪后的位移值,计算所述位移梯度。Preferably, the step 3 includes: performing least squares plane fitting according to the displacement field to obtain a noise-reduced displacement value; and calculating the displacement gradient according to the noise-reduced displacement value.

优选地,所述位移梯度为:Preferably, the displacement gradient is:

Figure BDA0002194282550000034
Figure BDA0002194282550000034

其中,Exx为x方向的位移梯度,Exy为xy方向的位移梯度,Eyy为y方向的位移梯度,u为x方向的位移值,v为y方向的位移值。Among them, E xx is the displacement gradient in the x direction, Ex xy is the displacement gradient in the xy direction, E yy is the displacement gradient in the y direction, u is the displacement value in the x direction, and v is the displacement value in the y direction.

根据本发明的另一方面,提出了一种基于数字图像的工程结构力学参数识别系统,其特征在于,该系统包括:存储器,存储有计算机可执行指令;处理器,所述处理器运行所述存储器中的计算机可执行指令,执行以下步骤:步骤1:计算相关变形参数的计算公式;步骤2:根据位移初始值与所述相关变形参数,计算位移精确值,获得位移场;步骤3:根据所述位移场,通过应变窗算法计算位移梯度;步骤4:根据所述位移梯度,计算应变场。According to another aspect of the present invention, a system for identifying mechanical parameters of engineering structures based on digital images is proposed, which is characterized in that the system includes: a memory storing computer-executable instructions; a processor running the The computer-executable instructions in the memory perform the following steps: step 1: calculate the calculation formula of the relevant deformation parameters; step 2: calculate the precise value of the displacement according to the initial displacement value and the relevant deformation parameters, and obtain the displacement field; step 3: according to For the displacement field, a displacement gradient is calculated by a strain window algorithm; step 4: calculating a strain field according to the displacement gradient.

优选地,所述步骤2包括:步骤201:确定计算子区,计算归一化互相关法度量值;步骤202:根据所述归一化互相关法度量值,确定所述计算子区的种子点,计算所述种子点的相关变形参数与位移精确值;步骤203:确定距离所述种子点距离最近的多个未计算点,计算所述多个未计算点对应的相关变形参数;步骤204:标记相关变形参数最小的未计算点为种子点,计算所述种子点的位移精确值;步骤205:确定距离多个种子点距离最近的多个未计算点,重复步骤203-204;步骤206:重复步骤205,直至所述计算子区中不包含未计算点。Preferably, the step 2 includes: Step 201: Determine the calculation sub-region, and calculate the normalized cross-correlation measurement value; Step 202: Determine the seed of the calculation sub-region according to the normalized cross-correlation measurement value point, calculate the relevant deformation parameters and accurate displacement values of the seed point; step 203: determine a plurality of uncalculated points closest to the seed point, and calculate the relevant deformation parameters corresponding to the plurality of uncalculated points; step 204 : Mark the uncalculated point with the smallest relative deformation parameter as the seed point, and calculate the exact displacement value of the seed point; Step 205: Determine a plurality of uncalculated points closest to the multiple seed points, and repeat steps 203-204; Step 206 : Repeat step 205 until the calculation sub-area does not contain uncalculated points.

优选地,通过公式(1)计算相关变形参数:Preferably, the relevant deformation parameters are calculated by formula (1):

Figure BDA0002194282550000041
Figure BDA0002194282550000041

其中,CLS为相关变形参数,

Figure BDA0002194282550000042
为任意一点Q的坐标,
Figure BDA0002194282550000043
为变形后Q'对应的坐标,f和g分别为在指定位置的参考和当前图像灰度强度函数,fm为参考图像子区灰度平均值,gm为当前变形图像子区的灰度平均值。Among them, C LS is the relevant deformation parameter,
Figure BDA0002194282550000042
is the coordinate of any point Q,
Figure BDA0002194282550000043
is the coordinate corresponding to Q' after deformation, f and g are the reference and current image gray intensity functions at the specified position respectively, f m is the average gray value of the reference image sub-area, and g m is the gray level of the current deformed image sub-area average value.

优选地,所述步骤3包括:根据所述位移场进行最小二乘平面拟合,获得降噪后的位移值;根据所述降噪后的位移值,计算所述位移梯度。Preferably, the step 3 includes: performing least squares plane fitting according to the displacement field to obtain a noise-reduced displacement value; and calculating the displacement gradient according to the noise-reduced displacement value.

优选地,所述位移梯度为:Preferably, the displacement gradient is:

Figure BDA0002194282550000044
Figure BDA0002194282550000044

其中,Exx为x方向的位移梯度,Exy为xy方向的位移梯度,Eyy为y方向的位移梯度,u为x方向的位移值,v为y方向的位移值。Among them, E xx is the displacement gradient in the x direction, Ex xy is the displacement gradient in the xy direction, E yy is the displacement gradient in the y direction, u is the displacement value in the x direction, and v is the displacement value in the y direction.

本发明的方法和装置具有其它的特性和优点,这些特性和优点从并入本文中的附图和随后的具体实施方式中将是显而易见的,或者将在并入本文中的附图和随后的具体实施方式中进行详细陈述,这些附图和具体实施方式共同用于解释本发明的特定原理。The method and apparatus of the present invention have other features and advantages which will be apparent from the accompanying drawings and the following detailed description, or which will be described in the accompanying drawings and the following description The detailed description is set forth in the detailed description, and together these drawings and detailed description serve to explain certain principles of the invention.

附图说明Description of drawings

通过结合附图对本发明示例性实施例进行更详细的描述,本发明的上述以及其它目的、特征和优势将变得更加明显,其中,在本发明示例性实施例中,相同的参考标号通常代表相同部件。The above and other objects, features and advantages of the present invention will become more apparent by describing the exemplary embodiments of the present invention in more detail with reference to the accompanying drawings, wherein, in the exemplary embodiments of the present invention, the same reference numerals generally represent same parts.

图1示出了根据本发明的基于数字图像的工程结构力学参数识别方法的步骤的流程图。Fig. 1 shows a flow chart of the steps of the method for identifying mechanical parameters of engineering structures based on digital images according to the present invention.

图2示出了数字图像相关方法基本原理的示意图。Fig. 2 shows a schematic diagram of the basic principle of the digital image correlation method.

图3示出了根据本发明的一个实施例的现场图像采集的示意图。Fig. 3 shows a schematic diagram of on-site image acquisition according to an embodiment of the present invention.

图4示出了根据本发明的一个实施例的采集的数字图像的示意图。Fig. 4 shows a schematic diagram of an acquired digital image according to an embodiment of the present invention.

图5a、图5b、图5c、图5d、图5e、图5f分别示出了根据本发明的一个实施例的第1秒-第6秒的变形云图的示意图。Fig. 5a, Fig. 5b, Fig. 5c, Fig. 5d, Fig. 5e, Fig. 5f respectively show the schematic diagrams of the deformation cloud images of the first second to the sixth second according to an embodiment of the present invention.

图6a、图6b、图6c、图6d、图6e、图6f分别示出了根据本发明的一个实施例的第7秒-第12秒的变形云图的示意图。Fig. 6a, Fig. 6b, Fig. 6c, Fig. 6d, Fig. 6e, Fig. 6f respectively show the schematic diagrams of deformation cloud images from the 7th second to the 12th second according to an embodiment of the present invention.

图7a、图7b、图7c、图7d、图7e、图7f分别示出了根据本发明的一个实施例的第13秒-第18秒的变形云图的示意图。Fig. 7a, Fig. 7b, Fig. 7c, Fig. 7d, Fig. 7e, and Fig. 7f respectively show schematic diagrams of deformation cloud images from the 13th second to the 18th second according to an embodiment of the present invention.

图8a、图8b、图8c、图8d、图8e、图8f分别示出了根据本发明的一个实施例的第19秒-第24秒的变形云图的示意图。Fig. 8a, Fig. 8b, Fig. 8c, Fig. 8d, Fig. 8e, Fig. 8f respectively show the schematic diagrams of deformation cloud images of the 19th second to the 24th second according to an embodiment of the present invention.

图9a、图9b、图9c、图9d、图9e、图9f分别示出了根据本发明的一个实施例的第25秒-第30秒的变形云图的示意图。Fig. 9a, Fig. 9b, Fig. 9c, Fig. 9d, Fig. 9e, Fig. 9f respectively show the schematic diagrams of deformation cloud images of the 25th second to the 30th second according to an embodiment of the present invention.

具体实施方式detailed description

下面将参照附图更详细地描述本发明。虽然附图中显示了本发明的优选实施例,然而应该理解,可以以各种形式实现本发明而不应被这里阐述的实施例所限制。相反,提供这些实施例是为了使本发明更加透彻和完整,并且能够将本发明的范围完整地传达给本领域的技术人员。The present invention will be described in more detail below with reference to the accompanying drawings. Although preferred embodiments of the invention are shown in the drawings, it should be understood that the invention may be embodied in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the invention to those skilled in the art.

图1示出了根据本发明的基于数字图像的工程结构力学参数识别方法的步骤的流程图。Fig. 1 shows a flow chart of the steps of the method for identifying mechanical parameters of engineering structures based on digital images according to the present invention.

在该实施例中,根据本发明的基于数字图像的工程结构力学参数识别方法可以包括:步骤1:计算相关变形参数的计算公式;步骤2:根据位移初始值与相关变形参数,计算位移精确值,获得位移场;步骤3:根据位移场,通过应变窗算法计算位移梯度;步骤4:根据位移梯度,计算应变场。In this embodiment, the method for identifying mechanical parameters of engineering structures based on digital images according to the present invention may include: Step 1: Calculate the calculation formula of relevant deformation parameters; Step 2: Calculate the precise value of displacement according to the initial displacement value and relevant deformation parameters , to obtain the displacement field; Step 3: Calculate the displacement gradient through the strain window algorithm according to the displacement field; Step 4: Calculate the strain field according to the displacement gradient.

在一个示例中,步骤2包括:步骤201:确定计算子区,计算归一化互相关法度量值;步骤202:根据归一化互相关法度量值,确定计算子区的种子点,计算种子点的相关变形参数与位移精确值;步骤203:确定距离种子点距离最近的多个未计算点,计算多个未计算点对应的相关变形参数;步骤204:标记相关变形参数最小的未计算点为种子点,计算种子点的位移精确值;步骤205:确定距离多个种子点距离最近的多个未计算点,重复步骤203-204;步骤206:重复步骤205,直至计算子区中不包含未计算点。In one example, Step 2 includes: Step 201: Determine the calculation sub-area, and calculate the normalized cross-correlation measurement value; Step 202: Determine the seed point of the calculation sub-area according to the normalized cross-correlation method measurement value, and calculate the seed Relevant deformation parameters and accurate displacement values of the points; Step 203: Determine the multiple uncalculated points closest to the seed point, and calculate the relevant deformation parameters corresponding to the multiple uncalculated points; Step 204: Mark the uncalculated point with the smallest relative deformation parameter is the seed point, calculate the exact value of the displacement of the seed point; step 205: determine a plurality of uncalculated points closest to the distance from a plurality of seed points, repeat steps 203-204; step 206: repeat step 205 until the calculation sub-region does not contain Points not calculated.

在一个示例中,通过公式(1)计算相关变形参数:In one example, the relevant deformation parameters are calculated by formula (1):

Figure BDA0002194282550000061
Figure BDA0002194282550000061

其中,CLS为相关变形参数,

Figure BDA0002194282550000062
为任意一点Q的坐标,
Figure BDA0002194282550000063
为变形后Q'对应的坐标,f和g分别为在指定位置的参考和当前图像灰度强度函数,fm为参考图像子区灰度平均值,gm为当前变形图像子区的灰度平均值。Among them, C LS is the relevant deformation parameter,
Figure BDA0002194282550000062
is the coordinate of any point Q,
Figure BDA0002194282550000063
is the coordinate corresponding to Q' after deformation, f and g are the reference and current image gray intensity functions at the specified position respectively, f m is the average gray value of the reference image sub-area, and g m is the gray level of the current deformed image sub-area average value.

在一个示例中,步骤3包括:根据位移场进行最小二乘平面拟合,获得降噪后的位移值;根据降噪后的位移值,计算位移梯度。In an example, step 3 includes: performing least squares plane fitting according to the displacement field to obtain a displacement value after noise reduction; and calculating a displacement gradient according to the displacement value after noise reduction.

在一个示例中,位移梯度为:In one example, the displacement gradient is:

Figure BDA0002194282550000071
Figure BDA0002194282550000071

其中,Exx为x方向的位移梯度,Exy为xy方向的位移梯度,Eyy为y方向的位移梯度,u为x方向的位移值,v为y方向的位移值。Among them, E xx is the displacement gradient in the x direction, Ex xy is the displacement gradient in the xy direction, E yy is the displacement gradient in the y direction, u is the displacement value in the x direction, and v is the displacement value in the y direction.

具体地,数字图像相关方法作为一种新型光学测量方法,具有低成本、非接触、全场性、高精度、便于实现自动化的优点,越来越受到关注,也弥补了当前土木工程结构变形测量中传统测量方法的不足。Specifically, as a new type of optical measurement method, the digital image correlation method has the advantages of low cost, non-contact, full field, high precision, and easy automation. It has attracted more and more attention, and it also makes up for the current civil engineering structure deformation measurement Insufficiency of traditional measurement methods.

数字图像相关方法(Digital Image Correlation Method,简称DICM),又称为数字散斑相关方法(Digital Speckle Correlation Method,简称DSCM),是一种基于计算机和数字图像技术变形测量方法。该方法通过记录不同状态下试件表面的散斑图像,用基于图像灰度的相关匹配算法,跟踪出试件表面感兴趣点在图像中的位置,从而得到不同状态下试件表面的相对变形信息。Digital Image Correlation Method (DICM for short), also known as Digital Speckle Correlation Method (DSCM for short), is a deformation measurement method based on computer and digital image technology. This method records the speckle images on the surface of the specimen in different states, and uses a correlation matching algorithm based on the gray level of the image to track the position of the interest point on the specimen surface in the image, so as to obtain the relative deformation of the specimen surface in different states. information.

数字图像相关方法处理的是变形前后记录的两幅数字图像,通常将变形前的数字图像称为“参考图像”,变形后的数字图像称为“当前图像”。The digital image correlation method deals with two digital images recorded before and after deformation. Usually, the digital image before deformation is called "reference image", and the digital image after deformation is called "current image".

在基于子区的DIC算法中,参考图像被划分为子区或子窗口的较小区域,并假定每个子区内部的变形是均匀的,然后在当前图像中找到与参考图像字相对应已发生变形的子区。In the sub-area-based DIC algorithm, the reference image is divided into smaller areas of sub-areas or sub-windows, and assuming that the deformation inside each sub-area is uniform, and then find the word corresponding to the reference image in the current image that has occurred Deformed subsections.

图2示出了数字图像相关方法基本原理的示意图。Fig. 2 shows a schematic diagram of the basic principle of the digital image correlation method.

在计算中,子区最初是一个连续的圆形点组,它们处于参考图像的整数像素位置。如图2所示,参考图像子区选取了以待求点P(x0,y0)为中心点的(2N+1)×(2N+1)像素范围的矩形区域S,且变形后图像子区中心点水平向位移为u,竖直向位移值为v。当变形图像子区发生平移、拉伸、压缩等相关变形时,参考图像子区中的P点发生变形变为变形图像中的P'点,变形前后位移对应关系如下所示:In computation, a subregion is initially a contiguous set of circular points at integer pixel positions of the reference image. As shown in Figure 2, the reference image sub-area selects a rectangular area S of (2N+1)×(2N+1) pixel range with the point P(x 0 , y 0 ) as the center point, and the deformed image The horizontal displacement of the center point of the sub-area is u, and the vertical displacement is v. When the deformed image sub-area undergoes translation, stretching, compression and other related deformations, the P point in the reference image sub-area is deformed and becomes the P' point in the deformed image. The corresponding relationship between the displacement before and after deformation is as follows:

Figure BDA0002194282550000081
Figure BDA0002194282550000081

P={u v ux uy vx vy}T (4)P={uvu x u y v x v y } T (4)

上式(3)中初始参考图像子区中心P的坐标值(x0,y0),变形后图像子区中点P'的坐标值(x0',y0')。式(3)中S是一个包含所有子区点的集合,Δx、Δy用于表示点相对于子区中心的相对位置,以及建立当前图像和参考图像中子区点之间的对应关系。The coordinate value (x 0 , y 0 ) of the center P of the initial reference image sub-area in the above formula (3), and the coordinate value (x 0 ', y 0 ') of the center point P' of the image sub-area after deformation. In formula (3), S is a set containing all sub-region points, and Δx and Δy are used to represent the relative position of the point relative to the center of the sub-region, and to establish the correspondence between the sub-region points in the current image and the reference image.

式(4)则定义了变形前后图像子区位置和形状变化的广义变形向量P;ux、uy、vx及vy为位移u、v的偏导数,同时为参考图像子区的位移梯度参数,对于给定的子区,所有参数数值都为常数。式(3)也可以用矩阵形式编写:Equation (4) defines the generalized deformation vector P of the position and shape change of the image sub-area before and after deformation; u x , u y , v x and v y are the partial derivatives of the displacement u and v, and are the displacement of the reference image sub-area Gradient parameters, for a given subregion, all parameter values are constant. Equation (3) can also be written in matrix form:

Figure BDA0002194282550000082
Figure BDA0002194282550000082

上式中ξ是一个包含子区点和坐标x、y的增强向量,Δx和Δy是子区内Q(或Q')点和子区中心P(或P')点之间的距离,w是一个扭曲函数。In the above formula, ξ is an enhanced vector containing sub-area points and coordinates x, y, Δx and Δy are the distances between point Q (or Q') in the sub-area and point P (or P') in the center of the sub-area, and w is a warp function.

为了提高计算效率,并达到后续逆匹配算法的计算速度要求,设定参考图像的子区可在图像中发生变形,如下所示:In order to improve the calculation efficiency and meet the calculation speed requirements of the subsequent inverse matching algorithm, it is set that the sub-region of the reference image can be deformed in the image, as shown below:

Figure BDA0002194282550000083
Figure BDA0002194282550000083

上式中初始参考图像子区任意一点Q的坐标为

Figure BDA0002194282550000091
Figure BDA0002194282550000092
是变形的参考图像子区内Q点的坐标值,Q'点的坐标为
Figure BDA0002194282550000093
ur、vr为将Q、Q'置于同一图像子区时两者沿x轴、y轴的距离。式(6)中坐标变换是在参考图像中的两个不同坐标系之间进行的。The coordinates of any point Q in the initial reference image sub-area in the above formula are
Figure BDA0002194282550000091
and
Figure BDA0002194282550000092
is the coordinate value of point Q in the deformed reference image sub-area, and the coordinate of point Q' is
Figure BDA0002194282550000093
u r , v r are the distances between Q and Q' along the x-axis and y-axis when they are placed in the same image sub-region. The coordinate transformation in formula (6) is carried out between two different coordinate systems in the reference image.

图像匹配的基本原理是在变形前后相关图像上,通过比较以两个点为中心的大小相同的像素块图像子区的像素RGB颜色的相关性,来判别它们是否为相同点。此处进行比较的相关性系数是DIC算法在使用相关搜索方法时,由引入的相关函数计算得出。本方法使用了两种不同的相关函数来查找初值并对其进行后续细化。初值由在整数像素位置计算归一化互相关函数的相互关系(NCC)得到。The basic principle of image matching is to judge whether they are the same point by comparing the RGB color correlation of the pixel block image sub-areas of the same size centered on two points on the related images before and after deformation. The correlation coefficient for comparison here is calculated by the introduced correlation function when the DIC algorithm uses the correlation search method. This method uses two different correlation functions to find the initial value and refine it subsequently. The initial value is obtained by calculating the cross-correlation (NCC) of the normalized cross-correlation function at integer pixel positions.

根据本发明的基于数字图像的工程结构力学参数识别方法可以包括:The method for identifying mechanical parameters of engineering structures based on digital images according to the present invention may include:

步骤1:通过公式(1)计算相关变形参数的计算公式;Step 1: Calculate the calculation formula of relevant deformation parameters by formula (1);

步骤2:根据位移初始值与相关变形参数,计算位移精确值,获得位移场;具体包括:Step 2: According to the initial value of displacement and related deformation parameters, calculate the precise value of displacement and obtain the displacement field; specifically include:

步骤201:确定计算子区,通过公式(7)计算归一化互相关法度量值:Step 201: Determine the calculation sub-area, and calculate the normalized cross-correlation method metric value by formula (7):

Figure BDA0002194282550000094
Figure BDA0002194282550000094

函数f和g分别是在指定位置的参考和当前图像灰度强度函数,函数fm为参考图像子区灰度平均值,gm为当前变形图像子区的灰度平均值:The functions f and g are respectively the reference and current image grayscale intensity functions at the specified position, the function f m is the average gray value of the reference image sub-area, and g m is the gray average value of the current deformed image sub-area:

Figure BDA0002194282550000095
Figure BDA0002194282550000095

Figure BDA0002194282550000096
Figure BDA0002194282550000096

上式中n(S)是子区S中的数据点的数量。由于数字图像记录的是离散灰度信息,利用公式(7)的相关函数进行相关搜索时,是以子区中整像素为搜索单位进行的。所得结果为粗略的整像素位移,为达到精确的位移测量结果,下一步将使用非线性优化器通过查找最小相关条件来优化这些具有子像素分辨率的结果,该结果受Ccc和CLS两参数较大影响。where n(S) is the number of data points in subregion S. Since the digital image records discrete grayscale information, when using the correlation function of formula (7) to perform correlation search, the whole pixel in the sub-area is used as the search unit. The obtained results are roughly integer-pixel displacements. To achieve precise displacement measurements, the next step is to use a nonlinear optimizer to optimize these results with sub-pixel resolution by finding the minimum correlation condition, which is affected by both C cc and C LS Parameters have a big influence.

步骤202:根据归一化互相关法度量值,确定计算子区的种子点,计算种子点的相关变形参数与位移精确值;步骤203:确定距离种子点距离最近的多个未计算点,计算多个未计算点对应的相关变形参数;步骤204:标记相关变形参数最小的未计算点为种子点,计算种子点的位移精确值;步骤205:确定距离多个种子点距离最近的多个未计算点,重复步骤203-204;步骤206:重复步骤205,直至计算子区中不包含未计算点。Step 202: Determine the seed point of the calculation sub-area according to the measured value of the normalized cross-correlation method, and calculate the relevant deformation parameters and accurate displacement values of the seed point; Step 203: Determine a plurality of uncalculated points closest to the seed point, and calculate Relevant deformation parameters corresponding to a plurality of uncalculated points; Step 204: Mark the uncalculated point with the smallest relative deformation parameter as a seed point, and calculate the exact displacement value of the seed point; Step 205: Determine the multiple uncalculated points closest to the multiple seed points To calculate points, repeat steps 203-204; Step 206: Repeat step 205 until the calculated sub-area does not contain uncalculated points.

步骤3:根据位移场进行最小二乘平面拟合,获得降噪后的位移值为:Step 3: Carry out least squares plane fitting according to the displacement field, and obtain the displacement value after noise reduction:

Figure BDA0002194282550000101
Figure BDA0002194282550000101

Figure BDA0002194282550000102
Figure BDA0002194282550000102

根据降噪后的位移值,通过公式(2)计算位移梯度;According to the displacement value after noise reduction, the displacement gradient is calculated by formula (2);

步骤4:根据位移梯度,计算应变场,本领域技术人员可根据具体情况选择计算应变场的方法。Step 4: Calculating the strain field according to the displacement gradient, those skilled in the art may choose a method for calculating the strain field according to specific conditions.

本方法通过分析比较基于参考图像的其余图像的变形数据,实现基于数字图像识别技术于结构构件的变形的监测与预警。By analyzing and comparing the deformation data of other images based on the reference image, the method realizes the monitoring and early warning of the deformation of the structural component based on the digital image recognition technology.

应用示例Application example

为便于理解本发明实施例的方案及其效果,以下给出一个具体应用示例。本领域技术人员应理解,该示例仅为了便于理解本发明,其任何具体细节并非意在以任何方式限制本发明。In order to facilitate the understanding of the solutions and effects of the embodiments of the present invention, a specific application example is given below. Those skilled in the art will understand that this example is only for the purpose of facilitating the understanding of the present invention, and any specific details thereof are not intended to limit the present invention in any way.

根据本发明的基于数字图像的工程结构力学参数识别方法可以包括:The method for identifying mechanical parameters of engineering structures based on digital images according to the present invention may include:

步骤1:通过公式(1)计算相关变形参数的计算公式;Step 1: Calculate the calculation formula of relevant deformation parameters by formula (1);

步骤2:根据位移初始值与相关变形参数,计算位移精确值,获得位移场;具体包括:Step 2: According to the initial value of displacement and related deformation parameters, calculate the precise value of displacement and obtain the displacement field; specifically include:

步骤201:确定计算子区,通过公式(7)计算归一化互相关法度量值;参考图像子区灰度平均值fm为公式(8),当前变形图像子区的灰度平均值gm为公式(9)。由于数字图像记录的是离散灰度信息,利用公式(7)的相关函数进行相关搜索时,是以子区中整像素为搜索单位进行的。所得结果为粗略的整像素位移,为达到精确的位移测量结果,下一步将使用非线性优化器通过查找最小相关条件来优化这些具有子像素分辨率的结果。Step 201: determine the calculation sub-area, and calculate the normalized cross-correlation method metric value by formula (7); the gray-scale average value f of the reference image sub-area is formula (8), and the gray-scale average value g of the current deformed image sub-area m is formula (9). Since the digital image records discrete grayscale information, when using the correlation function of formula (7) to perform correlation search, the whole pixel in the sub-area is used as the search unit. The resulting results are roughly integer pixel displacements, and to achieve precise displacement measurements, the next step is to use a nonlinear optimizer to optimize these results with sub-pixel resolution by finding a minimum correlation condition.

步骤202:根据归一化互相关法度量值,确定计算子区的种子点,计算种子点的相关变形参数与位移精确值;步骤203:确定距离种子点距离最近的多个未计算点,计算多个未计算点对应的相关变形参数;步骤204:标记相关变形参数最小的未计算点为种子点,计算种子点的位移精确值;步骤205:确定距离多个种子点距离最近的多个未计算点,重复步骤203-204;步骤206:重复步骤205,直至计算子区中不包含未计算点。Step 202: Determine the seed point of the calculation sub-area according to the measured value of the normalized cross-correlation method, and calculate the relevant deformation parameters and accurate displacement values of the seed point; Step 203: Determine a plurality of uncalculated points closest to the seed point, and calculate Relevant deformation parameters corresponding to a plurality of uncalculated points; Step 204: Mark the uncalculated point with the smallest relative deformation parameter as a seed point, and calculate the exact displacement value of the seed point; Step 205: Determine the multiple uncalculated points closest to the multiple seed points To calculate points, repeat steps 203-204; Step 206: Repeat step 205 until the calculated sub-area does not contain uncalculated points.

步骤3:根据位移场进行最小二乘平面拟合,获得降噪后的位移值为公式(10)-(11),根据降噪后的位移值,通过公式(2)计算位移梯度。Step 3: Carry out least squares plane fitting according to the displacement field to obtain the displacement value after denoising as formulas (10)-(11), and calculate the displacement gradient by formula (2) according to the displacement value after denoising.

步骤4:根据位移梯度,计算应变场。Step 4: Calculate the strain field according to the displacement gradient.

以高架桥梁结构底板监测数据为例进行介绍。对运营期轻轨桥梁进行现场监测,并根据获得的相关数据展开了相应计算。现场采集的原始数据需进行数字图像相关方法的计算,才能将图像转化为工程中可识别的结果,本节将以径河方向底板正下方测点采集的正上方轨道列车通行时的底板图像为例进行计算。Taking the monitoring data of the floor of viaduct bridge structure as an example to introduce. On-site monitoring was carried out on the light rail bridge during the operation period, and corresponding calculations were carried out based on the obtained relevant data. The original data collected on site need to be calculated by digital image correlation method, so that the image can be converted into recognizable results in the project. In this section, the base plate image collected from the measuring point directly below the base plate in the direction of Jinghe when the train passing directly above it is example to calculate.

图3示出了根据本发明的一个实施例的现场图像采集的示意图。Fig. 3 shows a schematic diagram of on-site image acquisition according to an embodiment of the present invention.

图4示出了根据本发明的一个实施例的采集的数字图像的示意图。Fig. 4 shows a schematic diagram of an acquired digital image according to an embodiment of the present invention.

由图3可知,图像采集位置区域x方向与轨道底板轴线平行,y方向为轨道底板的横截面方向,同时x、y方向分别对应于采集的数字图像水平和竖直的方向,采集的数字图像如图4所示。It can be seen from Figure 3 that the x direction of the image acquisition location area is parallel to the axis of the track floor, and the y direction is the cross-sectional direction of the track floor. At the same time, the x and y directions correspond to the horizontal and vertical directions of the collected digital image respectively. As shown in Figure 4.

图5a、图5b、图5c、图5d、图5e、图5f分别示出了根据本发明的一个实施例的第1秒-第6秒的变形云图的示意图。Fig. 5a, Fig. 5b, Fig. 5c, Fig. 5d, Fig. 5e, Fig. 5f respectively show the schematic diagrams of the deformation cloud images of the first second to the sixth second according to an embodiment of the present invention.

图6a、图6b、图6c、图6d、图6e、图6f分别示出了根据本发明的一个实施例的第7秒-第12秒的变形云图的示意图。Fig. 6a, Fig. 6b, Fig. 6c, Fig. 6d, Fig. 6e, Fig. 6f respectively show the schematic diagrams of deformation cloud images from the 7th second to the 12th second according to an embodiment of the present invention.

图7a、图7b、图7c、图7d、图7e、图7f分别示出了根据本发明的一个实施例的第13秒-第18秒的变形云图的示意图。Fig. 7a, Fig. 7b, Fig. 7c, Fig. 7d, Fig. 7e, and Fig. 7f respectively show schematic diagrams of deformation cloud images from the 13th second to the 18th second according to an embodiment of the present invention.

图8a、图8b、图8c、图8d、图8e、图8f分别示出了根据本发明的一个实施例的第19秒-第24秒的变形云图的示意图。Fig. 8a, Fig. 8b, Fig. 8c, Fig. 8d, Fig. 8e, Fig. 8f respectively show the schematic diagrams of deformation cloud images of the 19th second to the 24th second according to an embodiment of the present invention.

图9a、图9b、图9c、图9d、图9e、图9f分别示出了根据本发明的一个实施例的第25秒-第30秒的变形云图的示意图。Fig. 9a, Fig. 9b, Fig. 9c, Fig. 9d, Fig. 9e, Fig. 9f respectively show the schematic diagrams of deformation cloud images of the 25th second to the 30th second according to an embodiment of the present invention.

由图可知,数字图像相关方法软件计算的是图像的像素变形,对计算图像的像素尺寸与实际测试区域尺寸进行换算,可使计算输出结果变形单位为米。第1秒至第8秒变形变化区间为-2×10-4m至1.5×10-4m,第9秒变形变化区间为(-4.5×10-4~0)m,从第9秒开始幅值逐渐增大在第13秒至17秒时间段内区间幅值到达(-3×10-3~-0.5×10-3)m的变形峰值,较前8秒数据有明显增加。后逐渐减小,在第23秒时变形区间恢复至(-5×10-4~0)m,与第9秒相同,后7秒的变形区间为(-4×10-4~-1.5×10-4)m,同前8秒相接近。It can be seen from the figure that the digital image correlation method software calculates the pixel deformation of the image, and the pixel size of the calculated image is converted to the actual test area size, so that the deformation unit of the calculation output result is meters. The deformation range from the first second to the eighth second is -2×10 -4 m to 1.5×10 -4 m, and the deformation range from the ninth second is (-4.5×10 -4 ~0)m, starting from the ninth second The amplitude gradually increases, and the interval amplitude reaches the deformation peak of (-3×10 -3 ~-0.5×10 -3 )m in the period from 13 seconds to 17 seconds, which is significantly increased compared with the data of the previous 8 seconds. Afterwards, it gradually decreased, and the deformation range returned to (-5×10 -4 ~0)m in the 23rd second, which was the same as the 9th second, and the deformation range in the last 7 seconds was (-4×10 -4 ~-1.5× 10 -4 )m, which is close to the first 8 seconds.

观察云图标尺发现,前8秒云图标尺最大数值保持在正值状态,第9秒开始云图标尺最大数值变为0,第10秒至第22秒最大数值为负值,于23秒重新变为0后续重新恢复最大值为正值状态。结合现场记录情况,第9秒时,轻轨列车进入测点前方桥墩,第21秒时离开该测点的后方桥墩,全过程持续12秒钟。现场记录情况证实云图发生变化的第9秒至第22秒的原因,是由列车通行所导致的。上述情况证实数字图像相关测量方法于工程构件的应用是可行的,结构构件因承受荷载所发生变形的量测,可由数字图像进行识别与计算。Observing the cloud chart scale, it is found that the maximum value of the cloud chart scale remains in a positive state for the first 8 seconds, and the maximum value of the cloud chart scale becomes 0 from the 9th second, and the maximum value is a negative value from the 10th to the 22nd second, and then becomes 0 again at 23 seconds Subsequently, the maximum value is restored to a positive value state. Combined with the on-site records, the light rail train entered the bridge pier in front of the measuring point at the 9th second, and left the rear bridge pier of the measuring point at the 21st second. The whole process lasted 12 seconds. The on-site records confirmed that the reason for the change of the cloud image from the 9th second to the 22nd second was caused by the passage of the train. The above situation proves that the application of digital image correlation measurement method to engineering components is feasible. The measurement of deformation of structural components due to loads can be identified and calculated by digital images.

综上所述,本发明通过分析比较基于参考图像的其余图像的变形数据,实现基于数字图像识别技术于结构构件的变形的监测与预警。In summary, the present invention realizes monitoring and early warning of deformation of structural components based on digital image recognition technology by analyzing and comparing deformation data of other images based on reference images.

本领域技术人员应理解,上面对本发明的实施例的描述的目的仅为了示例性地说明本发明的实施例的有益效果,并不意在将本发明的实施例限制于所给出的任何示例。Those skilled in the art should understand that the purpose of the above description of the embodiments of the present invention is only to illustrate the beneficial effects of the embodiments of the present invention, and is not intended to limit the embodiments of the present invention to any given examples.

根据本发明的实施例,提供了一种基于数字图像的工程结构力学参数识别系统,其特征在于,该系统包括:存储器,存储有计算机可执行指令;处理器,所述处理器运行所述存储器中的计算机可执行指令,执行以下步骤:步骤1:计算相关变形参数的计算公式;步骤2:根据位移初始值与相关变形参数,计算位移精确值,获得位移场;步骤3:根据位移场,通过应变窗算法计算位移梯度;步骤4:根据位移梯度,计算应变场。According to an embodiment of the present invention, a system for identifying mechanical parameters of engineering structures based on digital images is provided, wherein the system includes: a memory storing computer-executable instructions; a processor running the memory The computer can execute the instructions in the following steps: Step 1: Calculate the calculation formula of the relevant deformation parameters; Step 2: Calculate the precise value of the displacement according to the initial value of the displacement and the relevant deformation parameters, and obtain the displacement field; Step 3: According to the displacement field, Calculate the displacement gradient through the strain window algorithm; Step 4: Calculate the strain field according to the displacement gradient.

在一个示例中,步骤2包括:步骤201:确定计算子区,计算归一化互相关法度量值;步骤202:根据归一化互相关法度量值,确定计算子区的种子点,计算种子点的相关变形参数与位移精确值;步骤203:确定距离种子点距离最近的多个未计算点,计算多个未计算点对应的相关变形参数;步骤204:标记相关变形参数最小的未计算点为种子点,计算种子点的位移精确值;步骤205:确定距离多个种子点距离最近的多个未计算点,重复步骤203-204;步骤206:重复步骤205,直至计算子区中不包含未计算点。In one example, Step 2 includes: Step 201: Determine the calculation sub-area, and calculate the normalized cross-correlation measurement value; Step 202: Determine the seed point of the calculation sub-area according to the normalized cross-correlation method measurement value, and calculate the seed Relevant deformation parameters and accurate displacement values of the points; Step 203: Determine the multiple uncalculated points closest to the seed point, and calculate the relevant deformation parameters corresponding to the multiple uncalculated points; Step 204: Mark the uncalculated point with the smallest relative deformation parameter is the seed point, calculate the exact value of the displacement of the seed point; step 205: determine a plurality of uncalculated points closest to the distance from a plurality of seed points, repeat steps 203-204; step 206: repeat step 205 until the calculation sub-region does not contain Points not calculated.

在一个示例中,通过公式(1)计算相关变形参数:In one example, the relevant deformation parameters are calculated by formula (1):

Figure BDA0002194282550000131
Figure BDA0002194282550000131

其中,CLS为相关变形参数,

Figure BDA0002194282550000132
为任意一点Q的坐标,
Figure BDA0002194282550000133
为变形后Q'对应的坐标,f和g分别为在指定位置的参考和当前图像灰度强度函数,fm为参考图像子区灰度平均值,gm为当前变形图像子区的灰度平均值。Among them, C LS is the relevant deformation parameter,
Figure BDA0002194282550000132
is the coordinate of any point Q,
Figure BDA0002194282550000133
is the coordinate corresponding to Q' after deformation, f and g are the reference and current image gray intensity functions at the specified position respectively, f m is the average gray value of the reference image sub-area, and g m is the gray level of the current deformed image sub-area average value.

在一个示例中,步骤3包括:根据位移场进行最小二乘平面拟合,获得降噪后的位移值;根据降噪后的位移值,计算位移梯度。In an example, step 3 includes: performing least squares plane fitting according to the displacement field to obtain a displacement value after noise reduction; and calculating a displacement gradient according to the displacement value after noise reduction.

在一个示例中,位移梯度为:In one example, the displacement gradient is:

Figure BDA0002194282550000141
Figure BDA0002194282550000141

其中,Exx为x方向的位移梯度,Exy为xy方向的位移梯度,Eyy为y方向的位移梯度,u为x方向的位移值,v为y方向的位移值。Among them, E xx is the displacement gradient in the x direction, Ex xy is the displacement gradient in the xy direction, E yy is the displacement gradient in the y direction, u is the displacement value in the x direction, and v is the displacement value in the y direction.

本系统通过分析比较基于参考图像的其余图像的变形数据,实现基于数字图像识别技术于结构构件的变形的监测与预警。By analyzing and comparing the deformation data of other images based on the reference image, the system realizes the monitoring and early warning of the deformation of structural components based on digital image recognition technology.

本领域技术人员应理解,上面对本发明的实施例的描述的目的仅为了示例性地说明本发明的实施例的有益效果,并不意在将本发明的实施例限制于所给出的任何示例。Those skilled in the art should understand that the purpose of the above description of the embodiments of the present invention is only to illustrate the beneficial effects of the embodiments of the present invention, and is not intended to limit the embodiments of the present invention to any given examples.

以上已经描述了本发明的各实施例,上述说明是示例性的,并非穷尽性的,并且也不限于所披露的各实施例。在不偏离所说明的各实施例的范围和精神的情况下,对于本技术领域的普通技术人员来说许多修改和变更都是显而易见的。Having described various embodiments of the present invention, the foregoing description is exemplary, not exhaustive, and is not limited to the disclosed embodiments. Many modifications and alterations will be apparent to those of ordinary skill in the art without departing from the scope and spirit of the described embodiments.

Claims (8)

1. A method for identifying engineering structure mechanical parameters based on digital images is characterized by comprising the following steps:
step 1: calculating a calculation formula of the related deformation parameters;
step 2: calculating a displacement accurate value according to the displacement initial value and the related deformation parameter to obtain a displacement field;
and step 3: calculating a displacement gradient through a strain window algorithm according to the displacement field;
and 4, step 4: calculating a strain field according to the displacement gradient;
wherein the step 2 comprises:
step 201: determining a calculation subarea and calculating a normalized cross-correlation method metric value;
step 202: determining seed points of the calculation sub-area according to the normalized cross-correlation method metric value, and calculating related deformation parameters and displacement accurate values of the seed points;
step 203: determining a plurality of points which are not calculated and have the closest distance to the seed point, and calculating related deformation parameters corresponding to the points which are not calculated;
step 204: marking the un-calculated point with the minimum related deformation parameter as a seed point, and calculating the displacement accurate value of the seed point;
step 205: determining a plurality of points which are not calculated and are closest to the plurality of seed points, and repeating the steps 203-204;
step 206: step 205 is repeated until no non-computed points are contained in the compute subsection.
2. The digital image-based engineering structure mechanical parameter identification method according to claim 1, wherein the related deformation parameters are calculated by formula (1):
Figure FDA0003908226610000011
wherein, C LS In order to be able to correlate the deformation parameters,
Figure FDA0003908226610000021
is the coordinate of any one point Q,
Figure FDA0003908226610000022
to deformThe coordinates corresponding to the last Q', f and g are the gray scale intensity functions of the reference and current images at the specified positions, f m As a reference image sub-region gray-scale average value, g m And the gray level average value of the sub-area of the current deformation image is obtained.
3. The digital image-based engineering structural mechanics parameter identification method of claim 1, wherein said step 3 comprises:
performing least square plane fitting according to the displacement field to obtain a displacement value after noise reduction;
and calculating the displacement gradient according to the displacement value after the noise reduction.
4. The digital image-based engineering structural mechanical parameter identification method of claim 1, wherein the displacement gradient is:
Figure FDA0003908226610000023
wherein E is xx A gradient of displacement in the x direction, E xy A gradient of displacement in the xy direction, E yy The y-direction displacement gradient, u the x-direction displacement value, and v the y-direction displacement value.
5. An engineering structure mechanical parameter identification system based on digital images is characterized by comprising:
a memory storing computer-executable instructions;
a processor executing computer executable instructions in the memory to perform the steps of:
step 1: calculating a calculation formula of the related deformation parameters;
step 2: calculating a displacement accurate value according to the displacement initial value and the related deformation parameter to obtain a displacement field;
and 3, step 3: calculating a displacement gradient through a strain window algorithm according to the displacement field;
and 4, step 4: calculating a strain field according to the displacement gradient;
wherein the step 2 comprises:
step 201: determining a calculation subarea and calculating a normalized cross-correlation method metric value;
step 202: determining seed points of the calculation sub-area according to the normalized cross-correlation method metric value, and calculating related deformation parameters and displacement accurate values of the seed points;
step 203: determining a plurality of points which are not calculated and closest to the seed points, and calculating related deformation parameters corresponding to the points which are not calculated;
step 204: marking the un-calculated point with the minimum related deformation parameter as a seed point, and calculating the displacement accurate value of the seed point;
step 205: determining a plurality of points which are closest to the plurality of seed points and not calculated, and repeating the steps 203-204;
step 206: step 205 is repeated until no non-computed points are contained in the compute subsection.
6. The digital image-based engineering structural mechanics parameter identification system of claim 5, wherein the associated deformation parameter is calculated by equation (1):
Figure FDA0003908226610000031
wherein, C LS In order to be a relevant parameter of the deformation,
Figure FDA0003908226610000032
is the coordinate of any one point Q and,
Figure FDA0003908226610000033
for the coordinates corresponding to Q' after deformation, f and g are the reference and current image gray scale intensity functions at the specified positions, respectively, f m As a reference image sub-region gray-scale average value, g m The gray level average value of the sub-area of the current deformation image is obtained.
7. The digital image-based engineered structural mechanics parameter identification system of claim 5, wherein said step 3 comprises:
performing least square plane fitting according to the displacement field to obtain a displacement value after noise reduction;
and calculating the displacement gradient according to the displacement value after the noise reduction.
8. The digital image-based engineering structural mechanics parameter identification system of claim 5, wherein said displacement gradient is:
Figure FDA0003908226610000041
wherein E is xx A gradient of displacement in the x direction, E xy A gradient of displacement in the xy direction, E yy Is the displacement gradient in the y-direction, u is the displacement value in the x-direction, and v is the displacement value in the y-direction.
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