CN101264002A - Three-dimensional endoscopic measurement device and method based on grating projection - Google Patents
Three-dimensional endoscopic measurement device and method based on grating projection Download PDFInfo
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Abstract
一种基于光栅投影的三维内窥测量装置和方法,该装置是由光纤导像束、振幅型透射光栅、准直透镜、半导体激光器光源、微型面阵CCD探测器、传输线、图像采集卡和计算机构成,所述的计算机具有相应的图像处理和三维形貌计算重构软件。本发明方法的核心是在内窥观测中将振幅型透射光栅投影到待测表面上,光栅条纹受待测表面调制产生形变,通过CCD成像系统采集形变的光栅条纹,经过计算机图像处理,再通过三维形貌重建算法,获得待测目标的三维形貌信息。本发明能够获得内窥对象的三维形貌信息,并具有测量速度快、测量精度较和方法简单的特点。
A three-dimensional endoscopic measurement device and method based on grating projection, the device is composed of a fiber optic image guide bundle, an amplitude-type transmission grating, a collimating lens, a semiconductor laser light source, a micro-array CCD detector, a transmission line, an image acquisition card and a computer, and the computer has corresponding image processing and three-dimensional shape calculation and reconstruction software. The core of the method of the present invention is to project the amplitude-type transmission grating onto the surface to be measured during endoscopic observation, and the grating stripes are modulated by the surface to be measured to produce deformation. The deformed grating stripes are collected by the CCD imaging system, and after computer image processing, the three-dimensional shape information of the target to be measured is obtained through a three-dimensional shape reconstruction algorithm. The present invention can obtain three-dimensional shape information of the endoscopic object, and has the characteristics of fast measurement speed, high measurement accuracy and simple method.
Description
技术领域 technical field
本专利涉及内窥镜,特别是一种基于光栅投影的三维内窥测量装置和方法。This patent relates to endoscopes, especially a three-dimensional endoscopic measurement device and method based on grating projection.
背景技术 Background technique
内窥镜是一种光机电结合的精密医疗仪器,用于观察体内组织和结构,为医学诊断,特别是微创手术提供科学的诊断信息。从最初的硬管内窥镜到现在的纤维内窥镜以及电子内窥镜,内窥镜的技术发展日臻成熟。Endoscope is a precision medical instrument combining optomechanics and electronics, which is used to observe tissues and structures in the body and provide scientific diagnostic information for medical diagnosis, especially minimally invasive surgery. From the original hard tube endoscope to the current fiber endoscope and electronic endoscope, the technical development of endoscope is becoming more and more mature.
现有的内窥镜包括纤维内窥镜和电子内窥镜。内窥镜一般由照明系统和图像采集系统组成。照明系统主要是将光源(常用的如卤素冷光源)产生的照明光传导入体内,为待观察的组织提供成像照明。现行的照明系统多采用非结构光源照明,照明光场本身不能携带任何的编码信息。图像采集系统则是通过光纤导像束或者CCD采集组织图像,得到被测组织的二维图像信息。Existing endoscopes include fiber endoscopes and electronic endoscopes. An endoscope generally consists of an illumination system and an image acquisition system. The illumination system mainly transmits the illumination light generated by the light source (commonly used such as a halogen cold light source) into the body to provide imaging illumination for the tissue to be observed. Most current lighting systems use unstructured light sources for lighting, and the lighting light field itself cannot carry any coded information. The image acquisition system collects tissue images through an optical fiber image guide bundle or a CCD to obtain two-dimensional image information of the measured tissue.
这种内窥图像所包含的信息反映了被测组织的二维平面信息,图像处理工作集中在提高现有平面图像的质量(例如清晰度和彩色图像)和消除由于系统产生的各种像差。法国的J.F.Rey等将内窥镜输出的视频信号采集到计算机中进行图像分析和处理[参见在先技术1:J.F.Rey,etc,al.,Electronic Video Endoscopy:Preliminary Resultsof Imaging Modification,Endoscopy,Vol.20,1988:8-10]。意大利的S.Guadagni等以电子内窥镜和一台386计算机为核心,研制了电子内窥镜图像处理、分析系统[参见在先技术2:S.Guadagni,etc,al.,Imaging in Digestive Videoendoscopy,SPIE,Optic Fibersin Medicine,Vol.1420,1991:178-182]。近来,微型CCD的出现,极大的提高了平面图像所包含的信息质量。这些技术的发展为医学诊断创造了良好的条件。The information contained in this endoscopic image reflects the two-dimensional plane information of the measured tissue, and the image processing work focuses on improving the quality of the existing plane image (such as sharpness and color image) and eliminating various aberrations caused by the system . J.F.Rey of France etc. collected the video signal output by the endoscope into the computer for image analysis and processing [see prior art 1: J.F.Rey, etc, al., Electronic Video Endoscopy: Preliminary Results of Imaging Modification, Endoscopy, Vol. 20, 1988:8-10]. S.Guadagni in Italy developed an electronic endoscope image processing and analysis system with an electronic endoscope and a 386 computer as the core [see prior art 2: S.Guadagni, etc., al., Imaging in Digestive Videoendoscopy , SPIE, Optic Fibers in Medicine, Vol.1420, 1991: 178-182]. Recently, the appearance of micro-CCD has greatly improved the quality of information contained in planar images. The development of these technologies has created good conditions for medical diagnosis.
但是,现有内窥镜系统由于光场所包含的信息非常少,只能得到被测组织的平面二维信息,而丢失了包含物体相对深度和横向尺寸的三维形貌信息,这种信息的丢失给科学诊断和医学研究造成了很大的限制。克服这种缺点的方法是采用光学三维测量技术,这种技术能有效的同内窥成像技术相结合,测量目标的三维面形分布,提供目标的三维形貌信息。However, due to the very little information contained in the light field of the existing endoscope system, only the two-dimensional information of the measured tissue can be obtained, and the three-dimensional shape information including the relative depth and lateral size of the object is lost. It has caused great limitations to scientific diagnosis and medical research. The way to overcome this shortcoming is to use optical three-dimensional measurement technology, which can be effectively combined with endoscopic imaging technology to measure the three-dimensional surface shape distribution of the target and provide the three-dimensional shape information of the target.
光学三维形貌测量技术是一类成熟的测量技术,广泛应用于各种测量领域,具有精度高、速度快和非接触性测量等优点。其中一种光学三维形貌测量技术采用主动光学三维测量原理,使照明光场结构化(点,线,光栅条纹等),利用结构光照明被测物体,被测物体三维表面对照明的结构光进行调制,使光场携带被测物体表面的三维形貌信息。再通过CCD拍摄调制结构光场的图像,经计算机处理,通过三维形貌重构算法,得到被测目标的三维形貌信息。特别的,利用光栅条纹作为结构光的傅立叶变换轮廓术(FTP),由Takeda等人于1983年提出[参见在先技术3:TakedaMitsuo,Mutoh Kazuhiro,“Fourier transform profilometry for the automaticmeasurement of 3-D object shapes”,Applied Optics,Vol.22,Issue.24,1983]。这种方法将光栅条纹光场作为结构光源,通过对图像强度分布进行傅立叶变换、滤波、傅立叶逆变换、位相展开等图像和信息解调算法处理,得到测量目标的三维形貌信息。Optical three-dimensional shape measurement technology is a kind of mature measurement technology, which is widely used in various measurement fields, and has the advantages of high precision, fast speed and non-contact measurement. One of the optical three-dimensional shape measurement technologies uses the principle of active optical three-dimensional measurement to structure the illumination light field (points, lines, grating stripes, etc.), and uses structured light to illuminate the measured object. Modulation is carried out so that the light field carries the three-dimensional topography information of the surface of the measured object. Then the image of the modulated structured light field is captured by the CCD, processed by the computer, and the three-dimensional shape information of the measured target is obtained through the three-dimensional shape reconstruction algorithm. In particular, Fourier transform profilometry (FTP) using grating stripes as structured light was proposed by Takeda et al. in 1983 [see prior art 3: Takeda Mitsuo, Mutoh Kazuhiro, "Fourier transform profilometry for the automatic measurement of 3-D object shapes”, Applied Optics, Vol.22, Issue.24, 1983]. In this method, the grating stripe light field is used as a structured light source, and the three-dimensional shape information of the measurement target is obtained by performing Fourier transform, filtering, inverse Fourier transform, phase expansion and other image and information demodulation algorithms on the image intensity distribution.
现有的内窥三维测量系统采用激光高度扫描技术。但是,这种激光扫描系统的控制结构复杂,所需时间较长,实施方案繁琐,技术尚不成熟。Existing endoscopic three-dimensional measurement systems use laser height scanning technology. However, the control structure of this laser scanning system is complicated, the required time is long, the implementation scheme is cumbersome, and the technology is not yet mature.
发明内容 Contents of the invention
本发明要解决上述现有技术内窥镜输出图像三维信息的丢失问题等不足,提供一种基于光栅投影的三维内窥测量装置和方法,以获得内窥对象的三维形貌信息,并具有测量速度快、测量精度较和方法简单的特点。The present invention aims to solve the problems of loss of three-dimensional information of the output image of the endoscope in the prior art, and provides a three-dimensional endoscopic measurement device and method based on grating projection to obtain the three-dimensional shape information of the endoscopic object, and has the ability to measure It has the characteristics of fast speed, high measurement accuracy and simple method.
本发明的技术解决方案如下:Technical solution of the present invention is as follows:
一种基于光栅投影的三维内窥测量装置,其特点在于由光纤导像束、振幅型透射光栅、准直透镜、半导体激光器光源、微型面阵CCD探测器、传输线、图像采集卡和计算机构成,所述的计算机具有相应的图像处理和三维形貌计算重构软件,各部件的连接关系是:所述的半导体激光器光源发出的激光依次经准直透镜、振幅型透射光栅和光纤导像束照射在待测物体表面,由微型面阵CCD探测器拍摄被待测物体表面三维形貌所调制的振幅型透射光栅的投影条纹后经传输线、图像采集卡进入计算机。A three-dimensional endoscopic measurement device based on grating projection, which is characterized in that it is composed of an optical fiber image guide bundle, an amplitude type transmission grating, a collimator lens, a semiconductor laser light source, a micro-array CCD detector, a transmission line, an image acquisition card and a computer. The computer has corresponding image processing and three-dimensional shape calculation and reconstruction software, and the connection relationship of each component is: the laser light emitted by the semiconductor laser light source is sequentially irradiated by the collimator lens, the amplitude type transmission grating and the optical fiber image guide beam On the surface of the object to be measured, the projected stripes of the amplitude-type transmission grating modulated by the three-dimensional topography of the surface of the object to be measured are photographed by the micro-array CCD detector, and then enter the computer through the transmission line and the image acquisition card.
利用上述光栅投影的三维内窥测量装置进行测量的方法,包括下列步骤:The method for measuring with the above-mentioned three-dimensional endoscopic measurement device for grating projection comprises the following steps:
①采集参考平面上的条纹分布图样:测量物体三维形貌之前,首先利用微型面阵CCD探测器和图像采集卡采集一幅参考平面上的光栅条纹图像,存储于计算机中;①Collect the fringe distribution pattern on the reference plane: Before measuring the three-dimensional shape of the object, first use the micro-array CCD detector and the image acquisition card to collect a grating fringe image on the reference plane and store it in the computer;
②采集测量目标上的形变光栅条纹分布图像:将所述的内窥三维测量装置的微型面阵CCD探测器对准被测对象,调整位置,使待测对象在该微型面阵CCD探测器上清晰成像,采集待测目标三维形貌调制而产生形变的光栅条纹图像,存储于计算机中;②Collect the distribution image of the deformed grating stripes on the measurement target: align the miniature area array CCD detector of the endoscopic three-dimensional measuring device with the measured object, and adjust the position so that the measured object is on the miniature area array CCD detector Clear imaging, collecting the grating fringe image deformed by the three-dimensional shape modulation of the target to be measured, and storing it in the computer;
③计算机计算两幅图像位相差,重构所测目标的三维形貌:③ The computer calculates the phase difference between the two images and reconstructs the three-dimensional shape of the measured target:
·参考平面条纹图像的处理:对微型面阵CCD探测器拍摄的参考平面条纹图像,进行必要的图像处理,以提高图像的对比度,减少图像噪声,然后进行傅立叶变换、基频滤波、傅立叶逆变换,得到
·对所测目标调制的形变条纹图像的处理:同样,对微型面阵CCD探测器拍摄的所测目标调制的形变条纹图像,进行必要的图像处理,以提高图像的对比度,减少图像噪声,然后进行傅立叶变换、基频滤波、傅立叶逆变换,得到Processing of the deformed fringe image modulated by the measured target: Similarly, the necessary image processing is performed on the deformed fringe image modulated by the measured target captured by the micro-array CCD detector to improve the contrast of the image and reduce the image noise, and then Perform Fourier transform, fundamental frequency filter, and inverse Fourier transform to get
·将上述处理的结果和所存储的参考面条纹图像的处理结果带入下式进行计算:Take the above processing results and the stored reference surface fringe image processing results into the following formula for calculation:
得到两幅图像的相对位相差; Obtain the relative phase difference of the two images;
·由于计算机计算的反正切值位于[-π,π],因此相对位相分布存在不连续跃变,要对计算的位相差进行相位展开;·Since the arctangent value calculated by the computer is located in [-π, π], there is a discontinuous jump in the relative phase distribution, and the phase expansion of the calculated phase difference is required;
·最后利用重构出所测目标的三维形貌分布,·Last use Reconstruct the three-dimensional shape distribution of the measured target,
上述式中:r0(x,y)、r(x,y)分别表参考平面示上述参考平面和所测目标两种情况的非均匀的表面反射率,An表示各级傅立叶级数的权重因子,(x,y)和(x,y)表示条纹图像未经调制和经过调制两种情况下的位相分布,f0表示投影光栅条纹的基频。In the above formula: r 0 (x, y), r (x, y) represent the non-uniform surface reflectance of the above-mentioned reference plane and the two situations of the measured target respectively, and A n represents the Fourier series of each level weighting factor, (x, y) and (x, y) represent the phase distribution of the fringe image without modulation and after modulation, and f 0 represents the fundamental frequency of the projected grating fringes.
所采用的振幅型光栅的周期为100μm,开口比为1∶1,光栅直径不超过5mm。The period of the amplitude grating used is 100 μm, the aperture ratio is 1:1, and the diameter of the grating does not exceed 5 mm.
本发明的技术效果:Technical effect of the present invention:
本发明将傅立叶变换轮廓术应用于内窥测量的方法和装置,解决扫描部件复杂、控制精度要求高、测量时间长等技术问题。这种测量方法只需要一帧形变的光栅投影图像就可以计算出物体的三维面形分布。相比现有的内窥镜系统,它能够获得内窥对象的三维形貌信息,并具有测量速度快、测量精度较和方法简单的特点。The invention applies Fourier transform profilometry to the method and device for endoscopic measurement, and solves technical problems such as complex scanning components, high control precision requirements, and long measurement time. This measurement method only needs one frame of deformed grating projection image to calculate the three-dimensional shape distribution of the object. Compared with the existing endoscope system, it can obtain the three-dimensional shape information of the endoscopic object, and has the characteristics of fast measurement speed, relatively high measurement accuracy and simple method.
附图说明 Description of drawings
图1是本发明采用振幅型透射光栅投影的三维内窥测量装置的示意图。Fig. 1 is a schematic diagram of a three-dimensional endoscopic measurement device using amplitude-type transmission grating projection according to the present invention.
图2是本发明所采用的傅立叶变换轮廓术的原理示意图。Fig. 2 is a schematic diagram of the principle of Fourier transform profilometry adopted in the present invention.
具体实施方式 Detailed ways
下面结合附图和实施例对本发明作进一步说明。The present invention will be further described below in conjunction with drawings and embodiments.
先请参阅图1,图1是本发明基于光栅投影的三维内窥测量装置的示意图。也是本发明实施例的结构示意图。由图可见,本发明基于光栅投影的三维内窥测量装置,由光纤导像束2、振幅型透射光栅3、准直透镜4、半导体激光器光源5、微型面阵CCD探测器6、传输线7、图像采集卡8和计算机9构成,各部件的连接关系是:所述的半导体激光器光源5发出的激光依次经准直透镜4、振幅型透射光栅3和光纤导像束2照射在待测物体表面,由微型面阵CCD探测器6拍摄被待测物体表面三维形貌所调制的振幅型透射光栅的投影条纹后经传输线7、图像采集卡8进入计算机9,所述的计算机9具有相应的图像处理和三维形貌计算重构软件。图中1表示光纤导像束2和微型面阵CCD探测器6的端面放大视图。Please refer to FIG. 1 first. FIG. 1 is a schematic diagram of a three-dimensional endoscopic measurement device based on grating projection according to the present invention. It is also a structural schematic diagram of an embodiment of the present invention. It can be seen from the figure that the three-dimensional endoscopic measurement device based on grating projection in the present invention consists of an optical fiber image guide bundle 2, an amplitude
本发明所涉及的测量原理即傅立叶变换轮廓术的基本物理原理如下:The measurement principle involved in the present invention is the basic physical principle of Fourier transform profilometry as follows:
请参阅图2,图2是本发明所采用的傅立叶变换轮廓术的原理示意图。如图2所示的光路结构。P1P2表示图像采集光路的光轴,L1L2表示光栅投影光路的光轴。参考平面是一个假想的平面,作为待测面的测量参考。h(x,y)表示在待测物体表面D点相对于参考平面的高度,d表示图像采集光路的入瞳中心和光栅投影光路光轴之间的距离,当系统结构确定后,d为已知量。L0表示光栅投影光路入瞳和参考平面的距离,在系统中同样为已知量。Please refer to FIG. 2 . FIG. 2 is a schematic diagram of the principle of Fourier transform profilometry adopted in the present invention. The light path structure shown in Figure 2. P1P2 represents the optical axis of the image acquisition optical path, and L1L2 represents the optical axis of the grating projection optical path. The reference plane is an imaginary plane used as a measurement reference for the surface to be measured. h(x, y) represents the height of point D on the surface of the object to be measured relative to the reference plane, and d represents the distance between the entrance pupil center of the image acquisition optical path and the optical axis of the grating projection optical path. When the system structure is determined, d is the established Quantity. L0 represents the distance between the entrance pupil of the grating projection optical path and the reference plane, which is also a known quantity in the system.
在参考平面上,即h(x,y)=0时,条纹图像为最初的光栅投影,没有形变,其光场分布可以表示为:On the reference plane, that is, when h(x, y)=0, the fringe image is the original grating projection without deformation, and its light field distribution can be expressed as:
当光栅条纹投影到待测表面时,待测表面的高度分布h(x,y)≠0,得到形变的条纹图像,其光场分布可以表示为:When the grating fringes are projected onto the surface to be tested, the height distribution of the surface to be tested h(x, y)≠0, the deformed fringe image is obtained, and the light field distribution can be expressed as:
其中,r0(x,y)、r(x,y)分别表示上述两种情况的非均匀的表面反射率,An表示各级傅立叶级数的权重因子,(x,y)和(x,y)表示条纹图像未经调制和经过调制两种情况下的位相分布,f0表示投影光栅条纹的基频。Among them, r 0 (x, y), r (x, y) respectively represent the non-uniform surface reflectance of the above two cases, A n represents the weight factor of the Fourier series at each level, (x, y) and (x, y) represent the phase distribution of the fringe image without modulation and after modulation, and f 0 represents the fundamental frequency of the projected grating fringes.
对(1)式沿x轴作一维傅立叶变换获得傅立叶频谱,选择合适的滤波函数(常用的滤波函数有矩形窗函数)对得到的频谱进行滤波,提取其基频分量后再作傅立叶逆变换,可以得到参考平面未经调制的条纹图像的复数信号:Perform a one-dimensional Fourier transform along the x-axis to the formula (1) to obtain the Fourier spectrum, select an appropriate filter function (the commonly used filter function has a rectangular window function) to filter the obtained spectrum, extract its fundamental frequency component, and then perform Fourier inverse transform , the complex signal of the unmodulated fringe image of the reference plane can be obtained:
对(2)式进行同样的处理,得到形变条纹图像的复数信号:Perform the same processing on (2) to get the complex signal of the deformed fringe image:
比较(3)和(4)式,所测物体三维形貌调制投影光栅条纹的结果导致复指数项中的位相发生了变化,大小为(x,y):Comparing equations (3) and (4), the result of the three-dimensional shape of the measured object modulating the projected grating fringes leads to a change in the phase in the complex exponential term, the magnitude of which is (x,y):
另一方面,在图2中由几何关系可得:On the other hand, it can be obtained from the geometric relationship in Figure 2:
AC/d=h/(L0-h)(7)AC/d=h/(L 0 -h)(7)
由(6)、(7)式计算,得待测高度h(x,y)和位相差(x,y)之间的关系:Calculated by formulas (6) and (7), the height h(x, y) and phase difference to be measured can be obtained The relationship between (x, y):
在具体的测量过程中,通过(5)式从参考光栅图像和形变调制光栅图像中计算出位相差(x,y),然后带入(8)式得到所测物体的三维形貌分布。In the specific measurement process, the phase difference is calculated from the reference grating image and the deformation-modulated grating image by formula (5) (x, y), and then brought into (8) to obtain the three-dimensional shape distribution of the measured object.
本发明的实施例所采用的振幅型透射光栅是周期为100μm,开口比为1∶1的铬光栅模板,能够将所述的半导体激光器5输出的照明光调制成光栅条纹状的结构光,从信息论的角度看,即产生了携带编码信息的投影光。光纤导像束2将铬光栅产生的结构光传输、投影到待测物体表面。微型面阵CCD探测器6与光纤导像束2的光轴有一微小夹角,该微型面阵CCD探测器6由计算机9控制,以实时监控投影条纹的变化情况。The amplitude type transmission grating adopted in the embodiment of the present invention is a chromium grating template with a period of 100 μm and an aperture ratio of 1:1, which can modulate the illumination light output by the semiconductor laser 5 into grating stripe-shaped structured light, from From the perspective of information theory, the projected light carrying encoded information is produced. The optical fiber image guide bundle 2 transmits and projects the structured light generated by the chromium grating onto the surface of the object to be measured. There is a slight included angle between the
采集参考平面上的条纹分布图样。测量物体三维形貌之前,首先利用微型面阵CCD探测器6和图像采集卡8采集一幅参考平面(高度分布为h(x,y)=0)上的光栅条纹图像,存储在计算机9中作为基础参考数据,以便计算相对位相差,提取待测平面与参考平面的相对高度分布。为了可靠地提取三维形貌信息,所设置的参考平面和微型面阵CCD探测器6的距离与待测物体和微型面阵CCD探测器6的距离大致相当。Acquire a pattern of fringe distribution on a reference plane. Before measuring the three-dimensional shape of the object, at first utilize the miniature area
采集测量目标上的形变光栅条纹分布图像。将图1所示的内窥三维测量装置的微型面阵CCD探测器6对准被测对象上,调整位置,使待测对象在微型面阵CCD探测器6上清晰成像,采集受待测目标三维形貌调制而产生形变的光栅条纹图像,存储于计算机9中待下一步的图像处理。The image of the deformed grating fringe distribution on the measurement target is collected. Align the miniature area
计算两幅图像位相差,重构所测目标的三维形貌。对调制的光栅条纹图像和参考平面条纹图像进行图像处理。为了提高测量的速度,参考平面条纹图像的处理可以先行处理。对微型面阵CCD探测器6拍摄的图像,进行必要的图像处理,以提高图像的对比度,减少图像噪声,然后进行傅立叶变换、基频滤波、傅立叶逆变换,将处理的结果存储在计算机9中。所测目标调制的形变条纹图像经过同样的图像处理和分析,再将处理的结果和所存储的参考面条纹图像的处理结果带入下式进行计算:Calculate the phase difference between the two images and reconstruct the three-dimensional shape of the measured target. Image processing is performed on the modulated grating fringe image and the reference plane fringe image. In order to improve the measurement speed, the processing of the reference plane fringe image can be processed first. Carry out necessary image processing to the image taken by the miniature area
得到两幅图像的相对位相差。由于计算机计算的反正切值位于[-π,π],因此相对位相分布存在不连续跃变,因此需要对计算的位相差进行相位展开。最后利用(8)式,重构出所测目标的三维形貌分布。 Get the relative phase difference of the two images. Since the arctangent value calculated by the computer is located in [-π, π], there is a discontinuous jump in the relative phase distribution, so it is necessary to perform phase unwrapping on the calculated phase difference. Finally, using formula (8), the three-dimensional shape distribution of the measured target is reconstructed.
实验表明,本发明基于光栅投影的三维内窥测量装置和方法,具有测量速度快,实施方法简单,有较高的测量精度等优点,通过计算机快速处理,可以高速动态监控,具有重要的实用价值和应用前景。Experiments show that the three-dimensional endoscopic measurement device and method based on grating projection of the present invention have the advantages of fast measurement speed, simple implementation method, and high measurement accuracy. Through fast processing by computer, high-speed dynamic monitoring can be performed, which has important practical value and application prospects.
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