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CN113607652B - Workpiece superficial layered imaging method based on photoacoustic spectrum - Google Patents

Workpiece superficial layered imaging method based on photoacoustic spectrum Download PDF

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CN113607652B
CN113607652B CN202110917994.3A CN202110917994A CN113607652B CN 113607652 B CN113607652 B CN 113607652B CN 202110917994 A CN202110917994 A CN 202110917994A CN 113607652 B CN113607652 B CN 113607652B
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CN113607652A (en
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李泞
高椿明
张萍
胡强
王亚非
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    • G01N21/17Systems in which incident light is modified in accordance with the properties of the material investigated
    • G01N21/1702Systems in which incident light is modified in accordance with the properties of the material investigated with opto-acoustic detection, e.g. for gases or analysing solids
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Abstract

本发明属于光声谱无损检测技术领域,具体涉及一种基于光声谱的工件浅表分层成像方法。本发明利用脉冲激光结合扫描振镜在工件表面激发出光声信号,根据不同频率光声信号代表的热波深度分布特性,通过快速傅里叶变换,在声传感器采集的光声信号中筛选峰值谱信息,并以振镜控制器所控制的脉冲激光光束扫描位置信息作为图像的像素位置信息,获得不同深度的累积图层,通过相邻累积图层的差分处理,获得工件浅表区域的分层图像,为工件的表面/亚表面缺陷检测提供了一种全新的成像解决方案。本发明不仅可广泛应用于工件的离线表面亚表面缺陷检测,而且还能应用于包括金属3D打印在内的各种激光加工过程的在线监测,应用前景广阔。

Figure 202110917994

The invention belongs to the technical field of photoacoustic spectrum non-destructive testing, in particular to a method for superficial layered imaging of workpieces based on photoacoustic spectrum. The invention utilizes the pulsed laser combined with the scanning galvanometer to excite the photoacoustic signal on the surface of the workpiece, and selects the peak spectrum in the photoacoustic signal collected by the acoustic sensor through the fast Fourier transform according to the thermal wave depth distribution characteristics represented by the photoacoustic signal of different frequencies. information, and use the pulse laser beam scanning position information controlled by the galvanometer controller as the pixel position information of the image to obtain accumulated layers of different depths. Image, provides a new imaging solution for workpiece surface/subsurface defect detection. The invention can not only be widely applied to the off-line surface subsurface defect detection of the workpiece, but also can be applied to the on-line monitoring of various laser processing processes including metal 3D printing, and has broad application prospects.

Figure 202110917994

Description

一种基于光声谱的工件浅表分层成像方法A method for superficial layered imaging of workpieces based on photoacoustic spectroscopy

技术领域technical field

本发明属于光声谱无损检测技术领域,具体涉及一种基于光声谱的工件浅表分层成像方法。The invention belongs to the technical field of photoacoustic spectrum non-destructive testing, in particular to a method for superficial layered imaging of workpieces based on photoacoustic spectrum.

背景技术Background technique

激光激励声技术结合了激光空间无损传播和固体工件中声传播几乎无损的特性,不仅让工件中的声激励变得便于调整,而且因为光能转换为声能量的过程中,可携带多种材料的物理和结构特性,因此得到了越来越多的发展和应用。但是由于光声的能量转化效率不高,光声信号探测比较困难,这制约了光声技术在工业上的推广。随着电子信息技术,特别是数字技术的发展,小信号检测变得越来越普及,光声技术在电子技术的推动下,正迎来发展和应用的黄金期。The laser excitation acoustic technology combines the non-destructive propagation of laser space and the almost non-destructive characteristics of acoustic transmission in solid workpieces, which not only makes the acoustic excitation in the workpiece easy to adjust, but also can carry a variety of materials in the process of converting light energy into sound energy. The physical and structural properties of the material have resulted in more and more development and applications. However, due to the low energy conversion efficiency of photoacoustics, the detection of photoacoustic signals is difficult, which restricts the promotion of photoacoustic technology in industry. With the development of electronic information technology, especially digital technology, small signal detection has become more and more popular. Driven by electronic technology, photoacoustic technology is ushering in a golden period of development and application.

到目前为止,光声光谱技术主要集中于:1生物组织/特征的识别,包括:皮肤弹性、血糖、组织成像等;2气体检测,主要是变压器油内气体、气体光声池灵敏度提升;3人工智能方法在光声谱领域的交叉应用。目前还没有在工件表面亚表面成像领域开展相关的发明。So far, photoacoustic spectroscopy technology has mainly focused on: 1 identification of biological tissues/features, including: skin elasticity, blood sugar, tissue imaging, etc.; 2 gas detection, mainly the improvement of the sensitivity of gas in transformer oil and gas photoacoustic cells; 3 Cross-application of artificial intelligence methods in the field of photoacoustic spectroscopy. At present, there is no related invention in the field of subsurface imaging of workpiece surface.

发明内容SUMMARY OF THE INVENTION

本发明的目的在于克服现有技术的不足,提供一种基于光声谱的工件浅表分层成像技术,该技术利用脉冲光声谱频率成分丰富的特性,根据光声信号频率与成像深度的相互关系,结合差分图像处理,可以实现对样品表面/亚表面的分层成像。The purpose of the present invention is to overcome the deficiencies of the prior art, and to provide a superficial layered imaging technology of workpieces based on photoacoustic spectrum. Correlation, combined with differential image processing, enables layered imaging of sample surfaces/subsurfaces.

本发明采用的技术方案为:The technical scheme adopted in the present invention is:

一种基于光声谱的工件浅表分层成像方法,如图1所示,包括脉冲光声激励模块1和光声谱分层成像模块2;所述脉冲光声激励模块1包括脉冲激光器11、扫描振镜12、振镜控制器13、声传感器14和采集卡15,其中,脉冲激光器11通过脉冲发射方式发射激光;扫描振镜12用于对脉冲激光器11发射的激光光束进行扫描反射,实现在工件表面聚焦,和进行成像扫描;振镜控制器13用于驱动扫描振镜12,控制扫描振镜12的扫描工作,同时将扫描位置信息发送到光声谱分层成像模块2;声传感器14设置在工件相对于接收激光光束表面的另一面,对光声信号穿过工件后的信号进行探测,并把光声振动信号以模拟信号方式输出为模拟光声信号;采集卡15用于采集模拟光声信号,并转换为数字信号后输出数字光声信号;所述激光光束对工件的浅表区域进行光声激励,浅表区域的深度h为最大热波投入深度,h=2π(D/2fmin)1/2,其中,D是材料的热扩散系数,fmin是激励光声谱的最低频率峰值;A method for superficial layered imaging of workpiece based on photoacoustic spectrum, as shown in FIG. 1 , includes a pulsed photoacoustic excitation module 1 and a photoacoustic spectrum layered imaging module 2; the pulsed photoacoustic excitation module 1 includes a pulsed laser 11, The scanning galvanometer 12, the galvanometer controller 13, the acoustic sensor 14 and the acquisition card 15, wherein the pulsed laser 11 emits laser light by means of pulse emission; the scanning galvanometer 12 is used to scan and reflect the laser beam emitted by the pulsed laser 11 to realize Focusing on the workpiece surface, and performing imaging scanning; the galvanometer controller 13 is used to drive the scanning galvanometer 12, control the scanning work of the scanning galvanometer 12, and at the same time send the scanning position information to the photoacoustic spectrum layered imaging module 2; Acoustic sensor 14 is arranged on the other side of the workpiece relative to the surface of the receiving laser beam, detects the signal after the photoacoustic signal passes through the workpiece, and outputs the photoacoustic vibration signal as an analog photoacoustic signal in the form of an analog signal; the acquisition card 15 is used to collect The photoacoustic signal is simulated and converted into a digital signal to output a digital photoacoustic signal; the laser beam performs photoacoustic excitation on the superficial area of the workpiece, and the depth h of the superficial area is the maximum thermal wave input depth, h=2π(D /2f min ) 1/2 , where D is the thermal diffusivity of the material, and f min is the lowest frequency peak of the excitation photoacoustic spectrum;

所述光声谱分层成像模块2包括快速傅里叶变换器和n个图像输出通道,其中快速傅里叶变换器接收采集卡15输出的数字光声信号,将数字光声信号进行快速傅里叶变化,然后根据设定的阈值,将快速傅里叶变换器输出的频率按照从高到低的顺序依次划分为n个频率段,将所有频率段按照从高到低的顺序依次送入每个图像输入通道,使得第1个图像通道对应最高频率段,第n个图像通道对应最低频率段;在每个图像通道中,以输出信号的平均强度为灰阶,以振镜控制器13的扫描位置信息为图像的像素坐标,获得深度为hi处的工件浅表层的灰阶图像∑MAPi,hi=2π(D/2fi)1/2,fi是第i个通道的输出频率,i=0,1,…,n,然后由第i个通道的灰阶图像减去第i-1个通道的灰阶图像从而获得每个通道的输出图片MAPi,图片MAPi反映了工件浅表区域深度范围为[hi-1,hi]区域的情况。The photoacoustic spectrum layered imaging module 2 includes a fast Fourier transformer and n image output channels, wherein the fast Fourier transformer receives the digital photoacoustic signal output by the acquisition card 15, and performs a fast Fourier transformation on the digital photoacoustic signal. Liye change, and then according to the set threshold, the frequency output by the fast Fourier transformer is divided into n frequency segments in order from high to low, and all frequency segments are sent in order from high to low. For each image input channel, the first image channel corresponds to the highest frequency segment, and the nth image channel corresponds to the lowest frequency segment; in each image channel, the average intensity of the output signal is taken as the gray scale, and the galvanometer controller 13 The scanning position information is the pixel coordinates of the image, and the grayscale image ∑MAP i of the superficial layer of the workpiece at the depth hi is obtained, hi =2π(D/2fi) 1/2 , f i is the ith channel Output frequency, i=0,1,...,n, then subtract the grayscale image of the i-1th channel from the grayscale image of the ith channel to obtain the output picture MAP i of each channel, and the picture MAP i reflects The case where the depth range of the shallow area of the workpiece is [h i-1 , h i ] area is presented.

本发明的有益效果为:The beneficial effects of the present invention are:

本发明能在泵浦激光扫描成像的基础上,通过分解频率特征,获得不同深度图层,并通过图层差分获得分层成像图像,因此本发明不仅可广泛应用于工件的离线表面亚表面缺陷检测,而且还能应用于包括金属3D打印在内的各种激光加工过程的在线监测,应用前景广阔。The invention can obtain layers of different depths by decomposing frequency features on the basis of pump laser scanning imaging, and obtain layered imaging images through layer difference, so the invention can not only be widely applied to off-line surface subsurface defects of workpieces It can also be applied to online monitoring of various laser processing processes including metal 3D printing, with broad application prospects.

附图说明Description of drawings

图1为脉冲光声谱工件浅表分层成像示意图;Fig. 1 is the schematic diagram of superficial layered imaging of pulsed photoacoustic spectroscopy workpiece;

图2为脉冲光声谱不锈钢浅表8层分层成像实施示意图。Figure 2 is a schematic diagram of the implementation of pulsed photoacoustic spectroscopy superficial 8-layer layered imaging of stainless steel.

具体实施方式Detailed ways

下面结合附图详细描述本发明的技术方案。The technical solutions of the present invention will be described in detail below with reference to the accompanying drawings.

如图2所示,本发明具体实施方式的一个案例为把不锈钢样品的亚表面按照8层的方式进行分层成像,其具体实现方式如下:As shown in FIG. 2, a case of the specific embodiment of the present invention is to perform layered imaging on the subsurface of the stainless steel sample according to the mode of 8 layers, and the specific implementation method is as follows:

1、脉冲光声激励部分1,其由半导体脉冲激光器11、扫描振镜12、振镜控制器13、压电蜂鸣片14、采集卡15组成。1. The pulsed photoacoustic excitation part 1 is composed of a semiconductor pulsed laser 11 , a scanning galvanometer 12 , a galvanometer controller 13 , a piezoelectric buzzer 14 , and a capture card 15 .

半导体脉冲激光器11作为脉冲光声激发的能量源,其发射激光是采用脉冲发射方式的,其发射激光的能量时间特性直接影响到光声信号的普特征,因此不同的脉冲激光器能激发出不同的光声谱。The semiconductor pulse laser 11 is used as an energy source for pulsed photoacoustic excitation, and its laser emission adopts the pulse emission method. The energy time characteristics of the emitted laser directly affect the general characteristics of the photoacoustic signal, so different pulsed lasers can excite different pulsed lasers. photoacoustic spectrum.

扫描振镜12其作为脉冲激光器11的光束空间扫描反射装置,其具有在工件上表面聚焦的特性,并能完成工件上表面一定范围内的成像扫描,包括行扫描和列扫描。The scanning galvanometer 12 is used as a beam space scanning reflection device of the pulsed laser 11, which has the characteristic of focusing on the upper surface of the workpiece, and can complete imaging scanning within a certain range of the upper surface of the workpiece, including row scanning and column scanning.

振镜控制器13作为扫描振镜12的驱动装置,为扫描振镜12提供驱动信号,控制扫描振镜12的扫描工作状态,同时其扫描位置信息也提供给光声谱分层成像部分2,作为成像的像素位置信息。The galvanometer controller 13 serves as the driving device of the scanning galvanometer 12, provides the driving signal for the scanning galvanometer 12, controls the scanning working state of the scanning galvanometer 12, and simultaneously provides its scanning position information to the photoacoustic spectrum layered imaging part 2, as imaged pixel position information.

脉冲激光束由脉冲激光器11发出,并经过扫描振镜12反射控制,实现对工件上表面的光声激励。The pulsed laser beam is emitted by the pulsed laser 11 and is reflected and controlled by the scanning galvanometer 12 to realize the photoacoustic excitation on the upper surface of the workpiece.

工件浅表区域其位于工件的表面和亚表面,其深度h为最大热波投入深度,h=2π(D/2fmin)1/2,(其中:D是材料的热扩散系数,fmin是激励光声谱的最低频率峰值)。The superficial area of the workpiece is located on the surface and subsurface of the workpiece, and its depth h is the maximum thermal wave input depth, h=2π(D/2f min ) 1/2 , (where: D is the thermal diffusivity of the material, and f min is the lowest frequency peak of the excitation photoacoustic spectrum).

本例采用不锈钢作为待检样品,其材料包含金属、非金属、半导体等各种待检测的样品。In this example, stainless steel is used as the sample to be tested, and its material includes various samples to be tested, such as metals, non-metals, and semiconductors.

压电蜂鸣片14为光声信号的探测器,紧贴到工件的背面,实现对光声信号穿过样品后的信号探测,并把光声振动信号以模拟信号方式输出为模拟光声信号。The piezoelectric buzzer 14 is a detector for photoacoustic signals, which is closely attached to the back of the workpiece to realize signal detection after the photoacoustic signal passes through the sample, and outputs the photoacoustic vibration signal as an analog photoacoustic signal in the form of an analog signal. .

模拟光声信号为光声信号被声传感器探测后输出的模拟量信号。The analog photoacoustic signal is an analog signal output after the photoacoustic signal is detected by the acoustic sensor.

采集卡15与声传感器相匹配,把模拟光声信号采集后,变换成为符合数字信号规范的数字信号,即输出数字光声信号。The acquisition card 15 is matched with the acoustic sensor, and after the analog photoacoustic signal is collected, it is converted into a digital signal conforming to the digital signal specification, that is, the digital photoacoustic signal is output.

数字光声信号为采集卡的输出信号,满足数字信号的规范。The digital photoacoustic signal is the output signal of the acquisition card, which meets the specifications of the digital signal.

2、光声谱分层成像部分2由快速傅里叶变换器21、光声谱最高频率峰通道22、光声谱次高频率峰通道23、光声谱最低频率峰通道24、最浅累积图层25、次浅累积图层26、最深累积图层27、最浅图层28、次浅图层29、最深图层210等组成。2. The layered imaging part 2 of the photoacoustic spectrum consists of a fast Fourier transformer 21, the highest frequency peak channel of the photoacoustic spectrum 22, the second highest frequency peak channel of the photoacoustic spectrum 23, the lowest frequency peak channel of the photoacoustic spectrum 24, and the shallowest accumulation. Layer 25, second shallow accumulation layer 26, deepest accumulation layer 27, shallowest layer 28, second shallow layer 29, deepest layer 210, etc.

快速傅里叶变换器21把数字光声信号进行快速傅里叶变化,在不同的通道输出不同频率对应的信号。The fast Fourier transformer 21 performs fast Fourier transformation on the digital photoacoustic signal, and outputs signals corresponding to different frequencies in different channels.

光声谱最高频率峰通道22为快速傅里叶变换器21输出频谱峰值中,在满足信号强度不低于一定阈值的情况下,按照频率高低划分成8段频率段,其中频率最高的那段频率所对应的信号通道为光声谱最高频率通道22,其实质为只能通过最高频率段的带通滤波器,其平均频率为f1The highest frequency peak channel 22 of the photoacoustic spectrum is the output spectrum peak of the fast Fourier transformer 21, and under the condition that the signal strength is not lower than a certain threshold, it is divided into 8 frequency segments according to the frequency, and the segment with the highest frequency The signal channel corresponding to the frequency is the highest frequency channel 22 of the photoacoustic spectrum, which is essentially a bandpass filter that can only pass the highest frequency band, and its average frequency is f 1 .

光声谱次高频率峰通道23为快速傅里叶变换器21输出频谱峰值中,在满足信号强度不低于一定阈值的情况下,按照频率高低划分成8段频率段,其中频率第二高的那段频率所对应的信号通道为光声谱次高频率峰通道23,其实质为只能通过第二高频率段的带通滤波器,其平均频率为f2The second highest frequency peak channel 23 of the photoacoustic spectrum is the spectral peak output of the fast Fourier transformer 21, and under the condition that the signal strength is not lower than a certain threshold, it is divided into 8 frequency segments according to the frequency level, of which the frequency is the second highest. The signal channel corresponding to the frequency of the photoacoustic spectrum is the second highest frequency peak channel 23 of the photoacoustic spectrum, which is essentially a bandpass filter that can only pass the second high frequency band, and its average frequency is f 2 .

光声谱最低频率峰通道24为快速傅里叶变换器21输出频谱峰值中,在满足信号强度不低于一定阈值的情况下,按照频率高低划分成8段频率段,其中频率最低的那段频率所对应的信号通道为光声谱最低频率峰通道24,其实质为只能通过最低频率段的带通滤波器,其平均频率为f8The lowest frequency peak channel 24 of the photoacoustic spectrum is the spectral peak output of the fast Fourier transformer 21, and under the condition that the signal strength is not lower than a certain threshold, it is divided into 8 frequency segments according to the frequency, and the segment with the lowest frequency The signal channel corresponding to the frequency is the lowest frequency peak channel 24 of the photoacoustic spectrum, which is essentially a bandpass filter that can only pass through the lowest frequency band, and its average frequency is f 8 .

最浅累积图层25以光声谱最高频率峰通道输出的光声信号的平均强度为灰阶,以振镜控制器的扫描位置信息为图像的像素坐标,形成的一幅灰阶图像∑MAP1,由于其对应的光声谱频率段最高,因此获得的是最浅深度的工件浅表区域的图片,其图像深度为[o,h1],h1=2π(D/2f1)1/2The shallowest accumulation layer 25 takes the average intensity of the photoacoustic signal output by the highest frequency peak channel of the photoacoustic spectrum as the gray scale, and takes the scanning position information of the galvanometer controller as the pixel coordinates of the image, forming a gray scale image ∑MAP 1 , because its corresponding photoacoustic spectrum frequency segment is the highest, the obtained image is the shallowest workpiece surface area, and its image depth is [o, h 1 ], h 1 =2π(D/2f 1 ) 1 /2 .

次浅累积图层26以光声谱最高频率峰通道输出的光声信号的平均强度为灰阶,以(1-3)振镜控制器的扫描位置信息为图像的像素坐标,形成的一幅灰阶图像∑MAP2,由于其对应的光声谱频率段次高,因此获得的是次浅深度的(工件浅表区域的图片,其图像深度为[o,h2],其图像深度为h2=2π(D/2f2)1/2The second shallow accumulation layer 26 takes the average intensity of the photoacoustic signal output by the highest frequency peak channel of the photoacoustic spectrum as the gray scale, and takes (1-3) the scanning position information of the galvanometer controller as the pixel coordinates of the image, forming a picture. The gray-scale image ∑MAP 2 , because its corresponding photoacoustic spectrum frequency segment is the second highest, the obtained image is of sub-shallow depth (the image of the superficial area of the workpiece has an image depth of [o, h 2 ], and its image depth is h 2 =2π(D/2f 2 ) 1/2 .

最深累积图层27以光声谱最高频率峰通道输出的光声信号的平均强度为灰阶,以振镜控制器的扫描位置信息为图像的像素坐标,形成的一幅灰阶图像∑MAP8,由于其对应的光声谱频率段最低,因此获得的是最深深度的工件浅表区域的图片,其图像深度为[o,h8],其图像深度为h8=2π(D/2f8)1/2The deepest accumulation layer 27 takes the average intensity of the photoacoustic signal output by the highest frequency peak channel of the photoacoustic spectrum as the gray scale, and takes the scanning position information of the galvanometer controller as the pixel coordinates of the image, forming a gray scale image ∑MAP 8 , because its corresponding photoacoustic spectrum frequency segment is the lowest, the image obtained is the deepest workpiece superficial area, its image depth is [o, h 8 ], and its image depth is h 8 =2π(D/2f 8 ) 1/2 .

最浅图层28与最浅累积图层25对应的图片一致,反映了工件浅表区域最表面的情况,其图片为MAP1,其成像深度范围是[o,h1]。The shallowest layer 28 is consistent with the picture corresponding to the shallowest accumulation layer 25, and reflects the most surface condition of the superficial area of the workpiece. Its picture is MAP 1 , and its imaging depth range is [o, h 1 ].

次浅图层29为次浅累积图层26减去最浅累积图层后获得的图片MAP2,反映了工件浅表区域深度范围为[h1,h2]的区域的情况。The sub-shallow layer 29 is a picture MAP 2 obtained by subtracting the shallowest accumulation layer from the sub-shallow accumulation layer 26 , and reflects the situation of the area where the depth range of the superficial area of the workpiece is [h 1 , h 2 ].

最深图层210为最深累积图层27减去次深累积图层后获得的图片MAP8,反映了工件浅表区域深度范围为[h7,h8]的区域的情况。The deepest layer 210 is a picture MAP 8 obtained by subtracting the second-deepest accumulation layer from the deepest accumulation layer 27 , and reflects the situation of the area with the depth range of [h 7 , h 8 ] in the superficial area of the workpiece.

Claims (1)

1. A workpiece superficial layering imaging method based on photoacoustic spectrometry is characterized by comprisingThe device comprises a pulse photoacoustic excitation module (1) and a photoacoustic spectrum layered imaging module (2); the pulse photoacoustic excitation module (1) comprises a pulse laser (11), a scanning galvanometer (12), a galvanometer controller (13), an acoustic sensor (14) and a collection card (15), wherein the pulse laser (11) emits laser in a pulse emission mode; the scanning galvanometer (12) is used for scanning and reflecting laser beams emitted by the pulse laser (11), so that focusing on the surface of a workpiece is realized, and imaging scanning is performed; the galvanometer controller (13) is used for driving the scanning galvanometer (12), controlling the scanning work of the scanning galvanometer (12) and simultaneously sending scanning position information to the photoacoustic spectrum layered imaging module (2); the acoustic sensor (14) is arranged on the other surface of the workpiece opposite to the surface for receiving the laser beam, detects a signal of the photoacoustic signal after passing through the workpiece, and outputs the photoacoustic vibration signal as an analog photoacoustic signal in an analog signal mode; the acquisition card (15) is used for acquiring the analog photoacoustic signal, converting the analog photoacoustic signal into a digital signal and outputting the digital photoacoustic signal; the laser beam performs photoacoustic excitation on a superficial region of the workpiece, the depth h of the superficial region is the maximum heat wave input depth, and h is 2 pi (D/2 f)min)1/2Where D is the thermal diffusivity of the material, fminIs the lowest frequency peak of the excitation photoacoustic spectrum;
the photoacoustic spectrum layered imaging module (2) comprises a fast Fourier transformer and n image output channels, wherein the fast Fourier transformer receives digital photoacoustic signals output by an acquisition card (15), the digital photoacoustic signals are subjected to fast Fourier change, then the frequency output by the fast Fourier transformer is sequentially divided into n frequency sections from high to low according to a set threshold value, all the frequency sections are sequentially sent to each image output channel from high to low, and the 1 st image channel corresponds to the highest frequency section and the nth image channel corresponds to the lowest frequency section; in each image channel, the average intensity of the output signal is used as a gray scale, the scanning position information of the galvanometer controller (13) is used as the pixel coordinate of the image, and the depth h is obtainediThe gray scale image sigma MAP of the shallow surface of the workpiecei,hi=2π(D/2fi)1/2,fiIs the output frequency of the ith channel, i is 1,2, …, n, and then the ith channelSubtracting the gray scale image of the (i-1) th channel from the gray scale image of the i channels to obtain an output picture MAP of each channeliMAP, pictureiReflects the depth range of the workpiece superficial region as hi-1,hi]The case of a region.
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