Real-Time Tunnel Deformation Monitoring Technology Based on Laser and Machine Vision

Featured Application: The proposed tunnel deformation monitoring system was designed for tunnel during construction in dusty and dark environment with low visibility, and it also can be applied for the tunnel that has already been built. Abstract: Structural health monitoring is a topic of great concern in the world, and tunnel deformation monitoring is one of the important tasks. With the rapid developments in tunnel trafﬁc infrastructure construction, engineers need a portable and real-time system to obtain the tunnel deformation during construction. This paper reports a novel method based on laser and machine vision to automatically measure tunnel deformation of multiple interest points in real time and effectively compensate for the environment vibration, and moreover it can overcome the inﬂuence of a dusty and dark tunnel environment in low visibility. An automatic and wireless real-time tunnel deformation monitoring system, which is based on laser and machine vision and can give early warnings for tunnel collapse accidents, is proposed. The proposed system uses a ﬁxed laser beam as a monitoring reference. The image acquisition modules mounted on the measured points receive the laser spots and measure the tunnel accumulative deformation and instantaneous deformation velocity. Compensation methods are proposed to reduce measurement errors caused by laser beam feasibility, temperature, air refraction index, and wireless antenna attitude. The feasibility of the system is veriﬁed through tunnel tests. The accuracy of the detection system is better than 0.12 mm, the repeatability is less than 0.11 mm, and the minimum resolution is 10 µ m; therefore, the proposed system is very suitable for real-time and automatic detection of tunnel deformation in low visibility during construction.


Introduction
Structural health monitoring plays an indispensable role in diagnosing structure safety around the world [1], and tunnel deformation monitoring is one of the important tasks [2]. With the continuous expansion of the scale of tunnel traffic infrastructure construction, tunnel collapse accidents have occurred frequently in recent years [3]; this indicates that the traditional methods for monitoring tunnel deformation are unable to meet the new safety monitoring requirements for large tunnel traffic infrastructure [4], when real time becomes an important issue. In tunnel construction, the tunnel excavation surface is composed of tunnel face, side face, and roof face. Numerous workers are present on the excavation surface with dusty and dark environment in low visibility [5], and the tunnel

Methodology
The tunnel collapse process is the deformation of the construction fracture surface in the tunnel, which takes a fixed point of the earth as a reference. At present, the new Austrian tunneling method [25], which includes designing an initial support and secondary lining to the construction fracture surface [26], is mostly adopted in tunnel construction. The secondary lining is constructed on the basis of the initial support when the deformation of the initial support becomes stable [27]. Therefore, the deformation of the secondary lining surface can be ignored; however, the deformation of the excavation surface and the edge part of the initial support is significant. The proposed system takes a fixed point of the earth as monitoring reference and measures the deformation of excavation surface. Given the good directivity and energy concentration of a laser, as well as the dusty and dark tunneling environment in low visibility, a laser beam is used to transmit the monitoring reference from the fixed point to the measured point through the dust and darkness, thereby forming an optical projection of the fixed point on the intersecting surface near the measured point, which is the optical equivalent reference, to monitor the tunnel deformation in the system. A sketch map of the system is shown in Figure 1. A laser transmitter module, whose laser beam points to the intersecting surface near the measured points and forms an optical projection of the fixed point as a laser spot, is firmly fixed on the earth. To obtain the position relationship between the measured point and the fixed point, an image acquisition module mounted on the measured point and located perpendicularly to the laser beam is used to acquire the laser spot image of the laser beam. This module monitors the laser spot position in the image coordinate system with machine vision technology. The image acquisition mode is shown in Figure 2. The image sensor acquires the laser spot image through a laser receiving screen placed in front of the sensor. A laser transmitter module, whose laser beam points to the intersecting surface near the measured points and forms an optical projection of the fixed point as a laser spot, is firmly fixed on the earth. To obtain the position relationship between the measured point and the fixed point, an image acquisition module mounted on the measured point and located perpendicularly to the laser beam is used to acquire the laser spot image of the laser beam. This module monitors the laser spot position in the image coordinate system with machine vision technology. The image acquisition mode is shown in The image acquisition module is fixed on the measured points. When the excavation surface sinks during the deformation, the image acquisition module will sink along with it, thereby changing the laser spot position in the image coordinate system. The change of the laser spot position in the image coordinate system reflects the deformation of the excavation surface, including accumulative deformation and instantaneous deformation velocity [28].
The mathematical model of this principle is shown in Figure 3. The geometric center of the laser is the coordinate origin, the tunnel driving direction is the z-axis, the horizontal direction is the x-axis, and the vertical axis is the y-axis. Therefore, a three-dimensional world coordinate system o-xyz is established. The laser beam points to the laser receiving screen and forms a laser spot P on the screen. Considering the horizontal and vertical position information, the coordinates of the spot P in the world coordinate system o-xyz are , . To examine the position information of laser spot P in the image coordinate system, an image coordinate system on the laser receiving screen is established, as shown in Figure 3. The ′ ′ axis is parallel to the axis, and the ′ ′ axis is parallel to the axis; the coordinates of laser spot P in the image coordinate system are , ′ .
The coordinate transformation of spot P in the two coordinate systems is shown in Equation (1). The constants and are coordinate conversion parameters, which are related to the relative position of the two coordinate systems: In the three-dimensional world coordinate system o-xyz, the laser beam equation is shown as Equation (2), and the equation of the intersecting surface near the measured point is shown as Equation (3), where A, B, C, and d are constant parameters and are related to the laser position: = .
According to Equations (1)- (3), the coordinates of the laser spot in the image coordinate system o′-x′y′ can be obtained as shown in Equation (4): The image acquisition module is fixed on the measured points. When the excavation surface sinks during the deformation, the image acquisition module will sink along with it, thereby changing the laser spot position in the image coordinate system. The change of the laser spot position in the image coordinate system reflects the deformation of the excavation surface, including accumulative deformation and instantaneous deformation velocity [28].
The mathematical model of this principle is shown in Figure 3. The geometric center of the laser is the coordinate origin, the tunnel driving direction is the z-axis, the horizontal direction is the x-axis, and the vertical axis is the y-axis. Therefore, a three-dimensional world coordinate system o-xyz is established. The laser beam points to the laser receiving screen and forms a laser spot P on the screen. The image acquisition module is fixed on the measured points. When the excavation surface sinks during the deformation, the image acquisition module will sink along with it, thereby changing the laser spot position in the image coordinate system. The change of the laser spot position in the image coordinate system reflects the deformation of the excavation surface, including accumulative deformation and instantaneous deformation velocity [28].
The mathematical model of this principle is shown in Figure 3. The geometric center of the laser is the coordinate origin, the tunnel driving direction is the z-axis, the horizontal direction is the x-axis, and the vertical axis is the y-axis. Therefore, a three-dimensional world coordinate system o-xyz is established. The laser beam points to the laser receiving screen and forms a laser spot P on the screen. Considering the horizontal and vertical position information, the coordinates of the spot P in the world coordinate system o-xyz are , . To examine the position information of laser spot P in the image coordinate system, an image coordinate system on the laser receiving screen is established, as shown in Figure 3. The ′ ′ axis is parallel to the axis, and the ′ ′ axis is parallel to the axis; the coordinates of laser spot P in the image coordinate system are , ′ .
The coordinate transformation of spot P in the two coordinate systems is shown in Equation (1). The constants and are coordinate conversion parameters, which are related to the relative position of the two coordinate systems: In the three-dimensional world coordinate system o-xyz, the laser beam equation is shown as Equation (2), and the equation of the intersecting surface near the measured point is shown as Equation (3), where A, B, C, and d are constant parameters and are related to the laser position: = . ( According to Equations (1)-(3), the coordinates of the laser spot in the image coordinate system o′-x′y′ can be obtained as shown in Equation (4): Considering the horizontal and vertical position information, the coordinates of the spot P in the world coordinate system o-xyz are (x, y). To examine the position information of laser spot P in the image coordinate system, an image coordinate system on the laser receiving screen is established, as shown in Figure 3. The o x axis is parallel to the ox axis, and the o y axis is parallel to the oy axis; the coordinates of laser spot P in the image coordinate system are (x , y ). The coordinate transformation of spot P in the two coordinate systems is shown in Equation (1). The constants c 0 and c 1 are coordinate conversion parameters, which are related to the relative position of the two coordinate systems: In the three-dimensional world coordinate system o-xyz, the laser beam equation is shown as Equation (2), and the equation of the intersecting surface near the measured point is shown as Equation (3), where A, B, C, and d are constant parameters and are related to the laser position:

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According to Equations (1)-(3), the coordinates of the laser spot in the image coordinate system o -x y can be obtained as shown in Equation (4): According to Equation (4), when the positions of laser and image acquisition module are invariant, that is, when the parameters A, B, C, and d are invariant, the coordinates of the laser spot in the image coordinate system C×d A + c 0 , C×d B + c 1 remain fixed. Therefore, the monitoring reference can be transmitted from the fixed point of the earth to the measured points. When the image acquisition module sinks during tunnel deformation, the image coordinate system moves relative to the world coordinate system o-xyz. Supposing that the vertical and horizontal deformation amounts of the image acquisition module are ∆x and ∆y, respectively, the laser spot position in the image coordinate system also shifts ∆x and ∆y in the vertical and horizontal directions, respectively. Therefore, when the image acquisition module shifts in the vertical and horizontal directions along with the measured point, the change of the laser spot position in the image coordinate system reflects the deformation.
In an actual situation, the laser beam is not absolutely perpendicular to the laser receiving screen. As a result, when the image acquisition module moves along the z-axis with the measured point, the laser spot will produce the displacement component in the vertical and horizontal directions. As shown in Figure 3, α is the angle between the laser beam and the ox axis, β is the angle between the laser beam and the oy axis, and θ is the angle between the laser beam and the oz axis. Assuming that the displacement change of image acquisition module along the oz axis is ∆z, the errors of the horizontal and vertical deformation measurements are as shown in Equation (5): Assuming that the laser beam points obliquely to the receiving screen, the angles α = 73.3 • , β = 81.5 • , and θ = 18.9 • (in fact, the tilt of the laser beam is not that particularly obvious). When the image acquisition module shifts 1 mm along the oz axis, ∆x = 0.3037 mm and ∆y = 0.1562 mm. Therefore, when the shifting displacement of the image acquisition module along the z-axis is not large (and in fact it is not large) [29], this error can be ignored. The laser transmitter module is mounted on the fixed point of the earth distant from the construction site, and it should remain stable. However, in cases of emergency during construction, such as sudden vibrating, when the laser beam reference is shifted and rotated, the position of the laser spot in the image coordinate will change. Taking the x-axis coordinate as an example, if the displacements along the x-axis and the horizontal rotation angle of the laser beam reference are ∆x and ∆α, respectively, the resulting laser spot position error ∆x is as shown in Equation (6): In order to reduce this error, a data compensation method is proposed here. The data compensation method uses two backward lasers in the laser transmitter module and two fixed distant reference monitoring image acquisition modules with higher stability to monitor the feasibility of the laser transmitter, as shown in Figure 4, where Ls represents the distance between the laser transmitter module and the image acquisition modules, ∆α represents the horizontal rotation angle of the laser transmitter module, and ∆x represents the displacement along the x-axis of the laser transmitter module. Given that Ls were dozens of meters, small displacement and rotation angle will have no effect on these Ls; that is, the lengths of Ls were invariable before and after the position change of the laser transmitter module. With the two reference monitoring image acquisition modules, two laser spot position errors ∆ ′ and ∆ ′ can be obtained. The image acquisition module detecting displacement with error is ∆ ′ . The equations of two variables ∆ and ∆ were obtained, as shown in Equation (7): According to Equation (10), ∆x and ∆α can be determined as shown in Equation (8): Then, the detected displacement can be compensated in Equation (9): Therefore, the detected displacement error caused by sudden vibration is compensated successfully. Figure 5 shows the main composition of the real-time tunnel deformation monitoring system, and Figure 6 shows the details. The working principle is briefly described as follows.

System Composition
Install the system in the tunnel and turn it on. After calibration, adjust the direction of laser to the image acquisition module. The command to measure tunnel deformation is first generated at the industrial computer and sent to the wireless adaptor by a USB port. The communication between the adapter and the image acquisition module is wireless. The wireless adaptor is shown in Figure 7. The image acquisition module receives the command and begins to capture laser spot images and sends them to the industrial computer through the corresponding wireless adaptor in real time. The software installed in the industrial computer receives the images and processes them, obtaining the tunnel accumulative deformation and instantaneous deformation velocity. If the deformation values exceed the safe threshold, another command is generated and sent to the sound and light alarm module and the command center through a wireless adaptor, giving an early warning to workers and managers. Given that Ls were dozens of meters, small displacement and rotation angle will have no effect on these Ls; that is, the lengths of Ls were invariable before and after the position change of the laser transmitter module. With the two reference monitoring image acquisition modules, two laser spot position errors ∆x 1 and ∆x 2 can be obtained. The image acquisition module detecting displacement with error is ∆x 3 . The equations of two variables ∆x and ∆α were obtained, as shown in Equation (7): According to Equation (10), ∆x and ∆α can be determined as shown in Equation (8): Then, the detected displacement can be compensated in Equation (9): Therefore, the detected displacement error caused by sudden vibration is compensated successfully. Figure 5 shows the main composition of the real-time tunnel deformation monitoring system, and Figure 6 shows the details. The working principle is briefly described as follows.

System Composition
Install the system in the tunnel and turn it on. After calibration, adjust the direction of laser to the image acquisition module. The command to measure tunnel deformation is first generated at the industrial computer and sent to the wireless adaptor by a USB port. The communication between the adapter and the image acquisition module is wireless. The wireless adaptor is shown in Figure 7. The image acquisition module receives the command and begins to capture laser spot images and sends them to the industrial computer through the corresponding wireless adaptor in real time. The software installed in the industrial computer receives the images and processes them, obtaining the tunnel accumulative deformation and instantaneous deformation velocity. If the deformation values exceed the safe threshold, another command is generated and sent to the sound and light alarm module and the command center through a wireless adaptor, giving an early warning to workers and managers.

Laser Transmitter Module
All parts of this module, except the reference monitoring image acquisition module, are rigidly connected, thereby preventing the deformation of the module. The organic glass window and the dirt shroud form a sealed space, which can effectively prevent the interference of tunnel dust to the module and guarantee the permeability of the laser beam. The electronically controlled two-dimensional swivel table can adjust the horizontal and vertical angles of the laser beam, making the laser beam to point to the intersecting surface near the measured points. The reference monitoring image acquisition module is behind and distant from the other parts of the laser transmitter module, and it is mounted on a more stable fixed point away from the construction site, monitoring the feasibility of the forward laser beam.

Laser Transmitter Module
All parts of this module, except the reference monitoring image acquisition module, are rigidly connected, thereby preventing the deformation of the module. The organic glass window and the dirt shroud form a sealed space, which can effectively prevent the interference of tunnel dust to the module and guarantee the permeability of the laser beam. The electronically controlled two-dimensional swivel table can adjust the horizontal and vertical angles of the laser beam, making the laser beam to point to the intersecting surface near the measured points. The reference monitoring image acquisition module is behind and distant from the other parts of the laser transmitter module, and it is mounted on a more stable fixed point away from the construction site, monitoring the feasibility of the forward laser beam.

Laser Transmitter Module
All parts of this module, except the reference monitoring image acquisition module, are rigidly connected, thereby preventing the deformation of the module. The organic glass window and the dirt shroud form a sealed space, which can effectively prevent the interference of tunnel dust to the module and guarantee the permeability of the laser beam. The electronically controlled two-dimensional swivel table can adjust the horizontal and vertical angles of the laser beam, making the laser beam to point to the intersecting surface near the measured points. The reference monitoring image acquisition module is behind and distant from the other parts of the laser transmitter module, and it is mounted on a more stable fixed point away from the construction site, monitoring the feasibility of the forward laser beam.

Laser Transmitter Module
All parts of this module, except the reference monitoring image acquisition module, are rigidly connected, thereby preventing the deformation of the module. The organic glass window and the dirt shroud form a sealed space, which can effectively prevent the interference of tunnel dust to the module and guarantee the permeability of the laser beam. The electronically controlled two-dimensional swivel table can adjust the horizontal and vertical angles of the laser beam, making the laser beam to point to the intersecting surface near the measured points. The reference monitoring image acquisition module is behind and distant from the other parts of the laser transmitter module, and it is mounted on a more stable fixed point away from the construction site, monitoring the feasibility of the forward laser beam.

Image Acquisition Module
A band-pass filter film [30] matching with the laser frequency is coated on the exterior surface of the filter imaging screen [31]; this allows the laser beam to go through the screen. A thin layer of diffuse reflection coating is present on the interior surface of the filter imaging screen [32]. On this layer, the laser beam forms a laser spot with Lambertian reflection. The HD industrial camera constantly takes photos of the laser spot, extracting the position information of the laser spot in the image coordinate system with machine vision. The band-pass filter film and darkroom [33] helps to reduce the stray light interference.

Sound and Light Alarm Module
When the tunnel accumulative deformation and instantaneous deformation velocity exceeds the set threshold, the module is turned on and provides an early warning to the command center through a sound and light alarm; this gives a timely and effective early warning against tunnel collapse accidents, thereby reducing casualties and property losses.

Hard Devices and System Software
The hard devices are used to realize the communication between each module and install the system software. The main functions of the software for real-time tunnel deformation monitoring system include measurement, control, communication, and data storage. Considering the multi-system operation, cross platform, and compatibility of the system software requirements, LabVIEW [34] 2010 by NI (Austin, TX, USA) is adopted as the software development platform. The communication between the laser transmitter module, image acquisition module, sound and light alarm module, and hard devices and system software is wireless. The flow chart of the system software is shown as Figure 8.

Image Acquisition Module
A band-pass filter film [30] matching with the laser frequency is coated on the exterior surface of the filter imaging screen [31]; this allows the laser beam to go through the screen. A thin layer of diffuse reflection coating is present on the interior surface of the filter imaging screen [32]. On this layer, the laser beam forms a laser spot with Lambertian reflection. The HD industrial camera constantly takes photos of the laser spot, extracting the position information of the laser spot in the image coordinate system with machine vision. The band-pass filter film and darkroom [33] helps to reduce the stray light interference.

Sound and Light Alarm Module
When the tunnel accumulative deformation and instantaneous deformation velocity exceeds the set threshold, the module is turned on and provides an early warning to the command center through a sound and light alarm; this gives a timely and effective early warning against tunnel collapse accidents, thereby reducing casualties and property losses.

Hard Devices and System Software
The hard devices are used to realize the communication between each module and install the system software. The main functions of the software for real-time tunnel deformation monitoring system include measurement, control, communication, and data storage. Considering the multi-system operation, cross platform, and compatibility of the system software requirements, LabVIEW [34] 2010 by NI (Austin, TX, USA) is adopted as the software development platform. The communication between the laser transmitter module, image acquisition module, sound and light alarm module, and hard devices and system software is wireless. The flow chart of the system software is shown as Figure 8.

Principle Verification Test
To verify the principle of the proposed tunnel deformation monitoring technology, a tunnel deformation process was designed and simulated as shown in Figure 9.

Principle Verification Test
To verify the principle of the proposed tunnel deformation monitoring technology, a tunnel deformation process was designed and simulated as shown in Figure 9.
The image acquisition module was placed on a high-precision micro motion platform, which is a one-dimensional motion platform with a 1 μm accuracy to enable the image acquisition module to move with the moving platform and simulate the deformation process of the tunnel. The laser transmitter module was arranged on the other side, with the laser pointing to the filter imaging screen. If the change in the coordinates of the laser spot center [35] in the image coordinate system is proportional to the tunnel deformation, then the correctness of the tunnel deformation monitoring principle is proved. In the experiment, the micro motion platform was moved at an interval of 5 mm, and the displacement of the micro motion platform and the corresponding abscissa values of the laser spot center in the image coordinate system in pixel units were recorded.
The data relation curve is shown in Figure 10. In this curve, the x-axis is the displacement of the micro motion platform, and the y-axis is the measured displacement, namely the abscissa value of the laser spot center. According to the data relation curve, the displacement of the micro motion platform was linearly correlated to the measured displacement, and the linear correlation coefficient was close to 1, which demonstrates the correctness of the principle. The image acquisition module was placed on a high-precision micro motion platform, which is a one-dimensional motion platform with a 1 µm accuracy to enable the image acquisition module to move with the moving platform and simulate the deformation process of the tunnel. The laser transmitter module was arranged on the other side, with the laser pointing to the filter imaging screen. If the change in the coordinates of the laser spot center [35] in the image coordinate system is proportional to the tunnel deformation, then the correctness of the tunnel deformation monitoring principle is proved.
In the experiment, the micro motion platform was moved at an interval of 5 mm, and the displacement of the micro motion platform and the corresponding abscissa values of the laser spot center in the image coordinate system in pixel units were recorded.
The data relation curve is shown in Figure 10. In this curve, the x-axis is the displacement of the micro motion platform, and the y-axis is the measured displacement, namely the abscissa value of the laser spot center.

Principle Verification Test
To verify the principle of the proposed tunnel deformation monitoring technology, a tunnel deformation process was designed and simulated as shown in Figure 9.
The image acquisition module was placed on a high-precision micro motion platform, which is a one-dimensional motion platform with a 1 μm accuracy to enable the image acquisition module to move with the moving platform and simulate the deformation process of the tunnel. The laser transmitter module was arranged on the other side, with the laser pointing to the filter imaging screen. If the change in the coordinates of the laser spot center [35] in the image coordinate system is proportional to the tunnel deformation, then the correctness of the tunnel deformation monitoring principle is proved. In the experiment, the micro motion platform was moved at an interval of 5 mm, and the displacement of the micro motion platform and the corresponding abscissa values of the laser spot center in the image coordinate system in pixel units were recorded.
The data relation curve is shown in Figure 10. In this curve, the x-axis is the displacement of the micro motion platform, and the y-axis is the measured displacement, namely the abscissa value of the laser spot center. According to the data relation curve, the displacement of the micro motion platform was linearly correlated to the measured displacement, and the linear correlation coefficient was close to 1, which demonstrates the correctness of the principle. According to the data relation curve, the displacement of the micro motion platform was linearly correlated to the measured displacement, and the linear correlation coefficient was close to 1, which demonstrates the correctness of the principle.

Image Acquisition Module Calibration Experiment
The position information obtained by the image acquisition module is the plane two-dimensional data in the image coordinate system in pixels. Thus, the image coordinate system needs to be calibrated to restore the true deformation value of the measured point [36].

Horizontal Calibration Experiment
Given the different positions of the measured points in the tunnel, the image acquisition module will often roll along the z-axis after it is installed. As a result, an angle will form between the x -axis of the image coordinate system and the x-axis of the world coordinate system. Given this angle, the change in the position information of the laser spot center obtained by the image acquisition module cannot directly represent the settlement and the diameter convergence of the measured point. Therefore, the horizontality of the image coordinate system needs to be calibrated.
A simplified model for the relationship between the world coordinate system and the image coordinate system is shown in Figure 11 [37]. Here, o-xy represents the world coordinate system, o -x y represents the image coordinate system, and θ represents the rotation angle. The line l is a horizontal line, which is parallel to the ox axis and comes from a laser cast instrument. The laser cast instrument produced a horizontal laser line with a ±10" accuracy. Supposing that the slope of the line l in the image coordinate system is k, the relationship between θ and k is as shown in Equation (10):

Image Acquisition Module Calibration Experiment
The position information obtained by the image acquisition module is the plane two-dimensional data in the image coordinate system in pixels. Thus, the image coordinate system needs to be calibrated to restore the true deformation value of the measured point [36].

Horizontal Calibration Experiment
Given the different positions of the measured points in the tunnel, the image acquisition module will often roll along the z-axis after it is installed. As a result, an angle will form between the x′-axis of the image coordinate system and the x-axis of the world coordinate system. Given this angle, the change in the position information of the laser spot center obtained by the image acquisition module cannot directly represent the settlement and the diameter convergence of the measured point. Therefore, the horizontality of the image coordinate system needs to be calibrated.
A simplified model for the relationship between the world coordinate system and the image coordinate system is shown in Figure 11 [37]. Here, o-xy represents the world coordinate system, o′-x′y′ represents the image coordinate system, and θ represents the rotation angle. The line l is a horizontal line, which is parallel to the ox axis and comes from a laser cast instrument. The laser cast instrument produced a horizontal laser line with a ±10″ accuracy. Supposing that the slope of the line l in the image coordinate system is k, the relationship between θ and k is as shown in Equation (10): Figure 11. Simplified coordinate model.
After the rotation angle θ was obtained, the horizontal calibration of the image coordinate system could be completed by rotating the image coordinate system by an angle θ around point o′, as the rotation center in the reverse direction. The horizontal calibration process is shown in Figure 12. Before the horizontal calibration, when the image acquisition module horizontally moved along the micro motion platform, as shown in Figure 9, both the x-axis and y-axis values of the laser spot center in the image coordinate system changed with the movement. After the horizontal calibration was completed, only the x-axis value changed, thereby indicating that the horizontal calibration of After the rotation angle θ was obtained, the horizontal calibration of the image coordinate system could be completed by rotating the image coordinate system by an angle θ around point o , as the rotation center in the reverse direction. The horizontal calibration process is shown in Figure 12.

Image Acquisition Module Calibration Experiment
The position information obtained by the image acquisition module is the plane two-dimensional data in the image coordinate system in pixels. Thus, the image coordinate system needs to be calibrated to restore the true deformation value of the measured point [36].

Horizontal Calibration Experiment
Given the different positions of the measured points in the tunnel, the image acquisition module will often roll along the z-axis after it is installed. As a result, an angle will form between the x′-axis of the image coordinate system and the x-axis of the world coordinate system. Given this angle, the change in the position information of the laser spot center obtained by the image acquisition module cannot directly represent the settlement and the diameter convergence of the measured point. Therefore, the horizontality of the image coordinate system needs to be calibrated.
A simplified model for the relationship between the world coordinate system and the image coordinate system is shown in Figure 11 [37]. Here, o-xy represents the world coordinate system, o′-x′y′ represents the image coordinate system, and θ represents the rotation angle. The line l is a horizontal line, which is parallel to the ox axis and comes from a laser cast instrument. The laser cast instrument produced a horizontal laser line with a ±10″ accuracy. Supposing that the slope of the line l in the image coordinate system is k, the relationship between θ and k is as shown in Equation (10): Figure 11. Simplified coordinate model.
After the rotation angle θ was obtained, the horizontal calibration of the image coordinate system could be completed by rotating the image coordinate system by an angle θ around point o′, as the rotation center in the reverse direction. The horizontal calibration process is shown in Figure 12. Before the horizontal calibration, when the image acquisition module horizontally moved along the micro motion platform, as shown in Figure 9, both the x-axis and y-axis values of the laser spot center in the image coordinate system changed with the movement. After the horizontal calibration was completed, only the x-axis value changed, thereby indicating that the horizontal calibration of Before the horizontal calibration, when the image acquisition module horizontally moved along the micro motion platform, as shown in Figure 9, both the x-axis and y-axis values of the laser spot center in the image coordinate system changed with the movement. After the horizontal calibration was completed, only the x-axis value changed, thereby indicating that the horizontal calibration of the image coordinate system was successful. The micro motion platform moved at an interval of 5 mm. The experimental data curves are shown in Figure 13.
Appl. Sci. 2018, 8, x FOR PEER REVIEW 11 of 23 the image coordinate system was successful. The micro motion platform moved at an interval of 5 mm. The experimental data curves are shown in Figure 13. According to Figure 13, the displacement of the micro motion platform was from 0 mm to 70 mm, and the change in the y-axis value after calibration was as follows: ∆Y = 318.52 − 317.01 = 1.51 (pixel).
Therefore, within the permitted error, the y-axis values were basically unchanged, and the horizontal calibration of the image coordinate system was successful.
In the tunnel environment, a universal arm was used to hold the laser cast instrument during the horizontal calibration, as shown in Figures 14 and 15, and the calibration method was the same. Every time before using the system, the horizontal calibration was required to be done first.   According to Figure 13, the displacement of the micro motion platform was from 0 mm to 70 mm, and the change in the y-axis value after calibration was as follows: ∆Y = 318.52 − 317.01 = 1.51 (pixel). Therefore, within the permitted error, the y-axis values were basically unchanged, and the horizontal calibration of the image coordinate system was successful.
In the tunnel environment, a universal arm was used to hold the laser cast instrument during the horizontal calibration, as shown in Figures 14 and 15, and the calibration method was the same. Every time before using the system, the horizontal calibration was required to be done first.  According to Figure 13, the displacement of the micro motion platform was from 0 mm to 70 mm, and the change in the y-axis value after calibration was as follows: ∆Y = 318.52 − 317.01 = 1.51 (pixel). Therefore, within the permitted error, the y-axis values were basically unchanged, and the horizontal calibration of the image coordinate system was successful.
In the tunnel environment, a universal arm was used to hold the laser cast instrument during the horizontal calibration, as shown in Figures 14 and 15, and the calibration method was the same. Every time before using the system, the horizontal calibration was required to be done first.    According to Figure 13, the displacement of the micro motion platform was from 0 mm to 70 mm, and the change in the y-axis value after calibration was as follows: ∆Y = 318.52 − 317.01 = 1.51 (pixel). Therefore, within the permitted error, the y-axis values were basically unchanged, and the horizontal calibration of the image coordinate system was successful.
In the tunnel environment, a universal arm was used to hold the laser cast instrument during the horizontal calibration, as shown in Figures 14 and 15, and the calibration method was the same. Every time before using the system, the horizontal calibration was required to be done first.

Conversion Coefficient Calibration Experiment
The unit of spot center coordinates in the image coordinate system is pixel, which cannot represent the true displacement directly [38]. A sketch map of the conversion coefficient calibration experiment is shown in Figure 16. The laser was placed on the micro motion platform and pointed to the fixed image acquisition module, thereby allowing it to move with the micro motion platform.

Conversion Coefficient Calibration Experiment
The unit of spot center coordinates in the image coordinate system is pixel, which cannot represent the true displacement directly [38]. A sketch map of the conversion coefficient calibration experiment is shown in Figure 16. The laser was placed on the micro motion platform and pointed to the fixed image acquisition module, thereby allowing it to move with the micro motion platform. To restore the true displacement of the micro motion platform, the horizontal coordinate conversion coefficient α and the vertical coordinate conversion coefficient β needed to be determined [39]. The calculation formulas are shown in Equation (11): In Equation (11), (∆X, ∆Y) represents the displacement of the laser spot in the image coordinate system in pixels, and (∆x, ∆y) represents the real displacement in the world coordinate system. The x-axis conversion coefficient calibration experimental data are shown in Table 1. The x-axis conversion coefficient can be obtained with Equation (11), and the arithmetic mean value formula is shown as Equation (12): The calibration process of the y-axis conversion coefficient β was the same as α; that is, β = 0.1454. The relationship between the positions of the filter imaging screen and the HD industrial camera is invariant. Once the conversion coefficients α and β are determined, they are invariant and only need to be calibrated once.

Data Processing Algorithm Comparison Test
Because of changes in the refractive index of air and other factors in a long distance of 30 m, the laser beam will slightly deflect during the propagation, and the position of the laser spot on the filter imaging screen will vibrate. Given the isotropy of laser spot vibration, this experiment only addressed the x-axis coordinates of the spot, and the unit is pixels. To restore the true displacement of the micro motion platform, the horizontal coordinate conversion coefficient α and the vertical coordinate conversion coefficient β needed to be determined [39]. The calculation formulas are shown in Equation (11): In Equation (11), (∆X, ∆Y) represents the displacement of the laser spot in the image coordinate system in pixels, and (∆x, ∆y) represents the real displacement in the world coordinate system. The x-axis conversion coefficient calibration experimental data are shown in Table 1. The x-axis conversion coefficient can be obtained with Equation (11), and the arithmetic mean value formula is shown as Equation (12): The calibration process of the y-axis conversion coefficient β was the same as α; that is, β = 0.1454. The relationship between the positions of the filter imaging screen and the HD industrial camera is invariant. Once the conversion coefficients α and β are determined, they are invariant and only need to be calibrated once.

Data Processing Algorithm Comparison Test
Because of changes in the refractive index of air and other factors in a long distance of 30 m, the laser beam will slightly deflect during the propagation, and the position of the laser spot on the filter imaging screen will vibrate. Given the isotropy of laser spot vibration, this experiment only addressed the x-axis coordinates of the spot, and the unit is pixels.
As shown in Figure 17, the laser spot position information of 1000 spot images was processed, wherein the abscissa axis was the acquisition time. As can be seen from the diagram, the vibration range of laser spot was big; therefore, when the laser propagation distance is long, the laser spot center data at a single time point could not be used to represent the monitoring reference. The position probability distribution of the 1000 spot images is shown in Figure 18. Although the laser spot was in vibration, the position probability distribution was approximately in accordance with Gaussian distribution; therefore, stable data was found to represent the monitoring reference by processing a set of data over a period of time. As shown in Figure 17, the laser spot position information of 1000 spot images was processed, wherein the abscissa axis was the acquisition time. As can be seen from the diagram, the vibration range of laser spot was big; therefore, when the laser propagation distance is long, the laser spot center data at a single time point could not be used to represent the monitoring reference. The position probability distribution of the 1000 spot images is shown in Figure 18. Although the laser spot was in vibration, the position probability distribution was approximately in accordance with Gaussian distribution; therefore, stable data was found to represent the monitoring reference by processing a set of data over a period of time.  Given the characteristics of the dataset, the following methods were used to process the data: (1) calculation of the extremum after Gauss fitting, (2) calculation of the expectation from original data, (3) calculation of the expectation after low-pass filtering, and (4) acquisition of the maximum probability data from data probability distribution map. The results are shown in Table 2. As can be seen, the fourth method has the highest accuracy; therefore, this method was used to process the laser spot position information. As shown in Figure 17, the laser spot position information of 1000 spot images was processed, wherein the abscissa axis was the acquisition time. As can be seen from the diagram, the vibration range of laser spot was big; therefore, when the laser propagation distance is long, the laser spot center data at a single time point could not be used to represent the monitoring reference. The position probability distribution of the 1000 spot images is shown in Figure 18. Although the laser spot was in vibration, the position probability distribution was approximately in accordance with Gaussian distribution; therefore, stable data was found to represent the monitoring reference by processing a set of data over a period of time.  Given the characteristics of the dataset, the following methods were used to process the data: (1) calculation of the extremum after Gauss fitting, (2) calculation of the expectation from original data, (3) calculation of the expectation after low-pass filtering, and (4) acquisition of the maximum probability data from data probability distribution map. The results are shown in Table 2. As can be seen, the fourth method has the highest accuracy; therefore, this method was used to process the laser spot position information. Given the characteristics of the dataset, the following methods were used to process the data: (1) calculation of the extremum after Gauss fitting, (2) calculation of the expectation from original data, (3) calculation of the expectation after low-pass filtering, and (4) acquisition of the maximum probability data from data probability distribution map. The results are shown in Table 2. As can be seen, the fourth method has the highest accuracy; therefore, this method was used to process the laser spot position information.

Wireless Antenna Attitude Test
According to the principle of electromagnetic wave emission, the antenna has a certain angle when transmitting and receiving electromagnetic waves, as shown in Figure 19, where the signal is strongest in the main lobe range. When the antenna is arranged, if the antenna attitude can be adjusted to the right position, the intensity of the received signal will be enhanced.

Method
Accuracy (mm) 1. Calculation of the extremum after Gauss fitting 0.28 2. Calculation of the expectation from original data 0.42 3. Calculation of the expectation after low-pass filtering 0.21 4. Acquisition of the maximum probability data 0.12

Wireless Antenna Attitude Test
According to the principle of electromagnetic wave emission, the antenna has a certain angle when transmitting and receiving electromagnetic waves, as shown in Figure 19, where the signal is strongest in the main lobe range. When the antenna is arranged, if the antenna attitude can be adjusted to the right position, the intensity of the received signal will be enhanced. A spectrum analyzer was used as a wireless signal detection tool to analyze the size of the power received under different poses. Because the attitudes of the transmitting antenna and the receiving antenna were relative, the transmitting antenna was fixed horizontally during the experiment, and the attitude of the receiving antenna was changed.
As shown in Figure 20a, when the receiving antenna was parallel to the transmitting antenna, the maximum signal intensity was −23.63 db. As shown in Figure 20b, when the receiving antenna was vertical to the transmitting antenna, the signal strength was minimum, −35.68 db. Therefore, when using the instrument, the two antennas should be as parallel as possible to enhance the intensity of the received signal.

Temperature Change Test
The system needs to meet the requirement of real-time measurement without interruption for a long time; therefore, it is bound to be affected by the change of ambient temperature. However, the long distance laser reference propagation has a magnifying effect on the laser's own angle change. A spectrum analyzer was used as a wireless signal detection tool to analyze the size of the power received under different poses. Because the attitudes of the transmitting antenna and the receiving antenna were relative, the transmitting antenna was fixed horizontally during the experiment, and the attitude of the receiving antenna was changed.
As shown in Figure 20a, when the receiving antenna was parallel to the transmitting antenna, the maximum signal intensity was −23.63 db. As shown in Figure 20b, when the receiving antenna was vertical to the transmitting antenna, the signal strength was minimum, −35.68 db. Therefore, when using the instrument, the two antennas should be as parallel as possible to enhance the intensity of the received signal.

Method
Accuracy (mm) 1. Calculation of the extremum after Gauss fitting 0.28 2. Calculation of the expectation from original data 0.42 3. Calculation of the expectation after low-pass filtering 0.21 4. Acquisition of the maximum probability data 0.12

Wireless Antenna Attitude Test
According to the principle of electromagnetic wave emission, the antenna has a certain angle when transmitting and receiving electromagnetic waves, as shown in Figure 19, where the signal is strongest in the main lobe range. When the antenna is arranged, if the antenna attitude can be adjusted to the right position, the intensity of the received signal will be enhanced. A spectrum analyzer was used as a wireless signal detection tool to analyze the size of the power received under different poses. Because the attitudes of the transmitting antenna and the receiving antenna were relative, the transmitting antenna was fixed horizontally during the experiment, and the attitude of the receiving antenna was changed.
As shown in Figure 20a, when the receiving antenna was parallel to the transmitting antenna, the maximum signal intensity was −23.63 db. As shown in Figure 20b, when the receiving antenna was vertical to the transmitting antenna, the signal strength was minimum, −35.68 db. Therefore, when using the instrument, the two antennas should be as parallel as possible to enhance the intensity of the received signal.

Temperature Change Test
The system needs to meet the requirement of real-time measurement without interruption for a long time; therefore, it is bound to be affected by the change of ambient temperature. However, the long distance laser reference propagation has a magnifying effect on the laser's own angle change.

Temperature Change Test
The system needs to meet the requirement of real-time measurement without interruption for a long time; therefore, it is bound to be affected by the change of ambient temperature. However, the long distance laser reference propagation has a magnifying effect on the laser's own angle change.
Since the maximum temperature difference in the tunnel during day and night is only 4 • C, the linear thermal deformation of the laser system can be ignored, but the angle change will have a large error. As shown in Figure 21, for a temperature difference 10 • C during 14 h, the x-axis coordinate difference of the spot position caused by thermal deformation can reach 38 pixels on a 50 m propagation distance. For the 4 • C temperature difference in the tunnel, the thermal deformation will cause less x-axis coordinate difference.
To reduce the effect of thermal deformation on the precision of the system, the mechanical structure was designed to be symmetrical to minimize the angle torsion caused by thermal deformation. Since the maximum temperature difference in the tunnel during day and night is only 4 °C, the linear thermal deformation of the laser system can be ignored, but the angle change will have a large error. As shown in Figure 21, for a temperature difference 10 °C during 14 h, the x-axis coordinate difference of the spot position caused by thermal deformation can reach 38 pixels on a 50 m propagation distance. For the 4 °C temperature difference in the tunnel, the thermal deformation will cause less x-axis coordinate difference.
To reduce the effect of thermal deformation on the precision of the system, the mechanical structure was designed to be symmetrical to minimize the angle torsion caused by thermal deformation.

Detection Accuracy Test Experiment
After the above tests were performed, the real-time tunnel deformation monitoring system was ready to operate. A high-precision micro motion platform was used to simulate the tunnel deformation process, and it moved at an interval of 5 mm. The obtained detection displacement is shown in Table 3. According to Table 3, the monitoring system had a high detection accuracy better than 0.12 mm.

Repeatability Accuracy Test Experiment
The micro motion platform performed a linear reciprocating motion at an interval of 10 mm. Experimental data are shown in Table 4.

Detection Accuracy Test Experiment
After the above tests were performed, the real-time tunnel deformation monitoring system was ready to operate. A high-precision micro motion platform was used to simulate the tunnel deformation process, and it moved at an interval of 5 mm. The obtained detection displacement is shown in Table 3. According to Table 3, the monitoring system had a high detection accuracy better than 0.12 mm.

Repeatability Accuracy Test Experiment
The micro motion platform performed a linear reciprocating motion at an interval of 10 mm. Experimental data are shown in Table 4. According to Table 4, the monitoring system had good stability and repeatability, and the repeatability accuracy was better than 0.11 mm.

System Resolution
The micro motion platform moved slowly with the minimum displacement, that is, at an interval of 1 µm. In the system accuracy test experiment, when the micro motion platform moved 10 µm, the coordinates of the laser spot from the system software started to change, indicating that the system resolution was 10 µm.

Laser Transmitter Module Feasibility Test
In order to simulate the dusty and dark tunneling environment, this test was conducted on a foggy night as shown in Figure 22.  According to Table 4, the monitoring system had good stability and repeatability, and the repeatability accuracy was better than 0.11 mm.

System Resolution
The micro motion platform moved slowly with the minimum displacement, that is, at an interval of 1 μm. In the system accuracy test experiment, when the micro motion platform moved 10 μm, the coordinates of the laser spot from the system software started to change, indicating that the system resolution was 10 μm.

Laser Transmitter Module Feasibility Test
In order to simulate the dusty and dark tunneling environment, this test was conducted on a foggy night as shown in Figure 22. The test sketch map is shown in Figure 23. The test sketch map is shown in Figure 23. As shown in Figure 23, the laser transmitter module was located on a precision swivel table that was fixed on the micro motion platform. Two image acquisition modules and two reference monitoring image acquisition modules were placed on both sides of the laser transmitter module respectively, and Ls represents the distance between the laser transmitter module and the image acquisition modules, ∆ represents the horizontal rotation angle of the laser transmitter module, and ∆ represents the displacement along the x-axis of the laser transmitter module.
In this test, the two reference monitoring modules and the two image acquisition modules were fixed, and the laser beam reference was shifted 12 mm and rotated 36″. According to Equation 9, the detected displacement can be compensated. The test data are shown in Table 5. Horizontal displacement after compensation --0.09 0.14 According to Table 5, this compensation method can effectively reduce the error caused by small sudden vibrations of the laser transmitter module.

Field Test
To verify the stability and accuracy of the monitoring system, the system was taken to the Xingyuan Town Tunnel in Heilongjiang province for a field test.
As shown in Figure 24, the tunneling environment was adverse and filled with dust, darkness and sudden vibration during construction. Tunnel trolley, as shown in Figure 24a, ran between initial support and secondary lining; this may block the laser transmitting path, so that the laser transmitter module was fixed on the earth close to the side face; therefore, the proposed monitoring system had no conflict with construction as shown in Figure 24c.
As shown in Figure 24b,d, the dust is heavy, this may decrease the laser spot energy received by the image acquisition module, so that the laser transmitter module used 500 mw high power lasers with an optical lens to achieve better long-distance transmission effect. In addition, the distance from the laser transmitter module to the measured points was varying from 30 m to 80 m, and the laser spot energy decreased with increasing distance, so that a laser energy transmission test with difference receiving distances was conducted in the dusty tunnel to detect the image quality acquired by image acquisition module. The test data are shown as Table 6. As shown in Figure 23, the laser transmitter module was located on a precision swivel table that was fixed on the micro motion platform. Two image acquisition modules and two reference monitoring image acquisition modules were placed on both sides of the laser transmitter module respectively, an Ls represents the distance between the laser transmitter module and the image acquisition modules, ∆α represents the horizontal rotation angle of the laser transmitter module, and ∆x represents the displacement along the x-axis of the laser transmitter module.
In this test, the two reference monitoring modules and the two image acquisition modules were fixed, and the laser beam reference was shifted 12 mm and rotated 36". According to Equation (9), the detected displacement can be compensated. The test data are shown in Table 5.  Table 5, this compensation method can effectively reduce the error caused by small sudden vibrations of the laser transmitter module.

Field Test
To verify the stability and accuracy of the monitoring system, the system was taken to the Xingyuan Town Tunnel in Heilongjiang province for a field test.
As shown in Figure 24, the tunneling environment was adverse and filled with dust, darkness and sudden vibration during construction. Tunnel trolley, as shown in Figure 24a, ran between initial support and secondary lining; this may block the laser transmitting path, so that the laser transmitter module was fixed on the earth close to the side face; therefore, the proposed monitoring system had no conflict with construction as shown in Figure 24c.
As shown in Figure 24b,d, the dust is heavy, this may decrease the laser spot energy received by the image acquisition module, so that the laser transmitter module used 500 mw high power lasers with an optical lens to achieve better long-distance transmission effect. In addition, the distance from the laser transmitter module to the measured points was varying from 30 m to 80 m, and the laser spot energy decreased with increasing distance, so that a laser energy transmission test with difference receiving distances was conducted in the dusty tunnel to detect the image quality acquired by image acquisition module. The test data are shown as Table 6 According to Table 6, laser spot energy decreased with increasing receiving distance, but the laser spot could still be obtained by image acquisition module, and the gray value of the laser spot met measurement requirements; this indicates that the proposed system is not susceptible to dusty and dark environment. The laser spot image obtained in 70 m receiving distance is shown in Figure  25a, and the high power laser with optical lens is shown in Figure 25b. In order to verify the stability and accuracy of the monitoring system, a field test was conducted in the tunneling environment. The image acquisition module was fixed on the edge of initial support of the tunnel, as shown in Figure 26a. In order to verify the stability and accuracy of the monitoring system, a field test was conducted in the tunneling environment. The image acquisition module was fixed on the edge of initial support of the tunnel, as shown in Figure 26a As shown in Figure 27, a total station was used to synchronously measure the deformation of the same measured point in the tunnel every 1 h, while the system conducted real-time monitoring during construction as shown in Figure 28.  In the field test, a large number of data were obtained, and part of the system measurement results corresponding with the station measurement results are presented in Table 7. As shown in Figure 27, a total station was used to synchronously measure the deformation of the same measured point in the tunnel every 1 h, while the system conducted real-time monitoring during construction as shown in Figure 28. As shown in Figure 27, a total station was used to synchronously measure the deformation of the same measured point in the tunnel every 1 h, while the system conducted real-time monitoring during construction as shown in Figure 28.  In the field test, a large number of data were obtained, and part of the system measurement results corresponding with the station measurement results are presented in Table 7. As shown in Figure 27, a total station was used to synchronously measure the deformation of the same measured point in the tunnel every 1 h, while the system conducted real-time monitoring during construction as shown in Figure 28.  In the field test, a large number of data were obtained, and part of the system measurement results corresponding with the station measurement results are presented in Table 7. In the field test, a large number of data were obtained, and part of the system measurement results corresponding with the station measurement results are presented in Table 7. According to Table 6, the monitoring system and total station measurement results are close, which indicates that the monitoring system has good accuracy, stability, and repeatability in a field application.

About Data Compensation Method for Environment Vibration
The data compensation method for environment vibration is effective for small and sudden vibration. When the vibration of the laser transmitter module is large and continues for a while, the spot position in the reference monitoring image acquisition modules will change and reflect the vibration; then, the system will stop the measurement for the measured points until the vibration of the laser transmitter module stops, filtering out the influence of the vibration on the accuracy of the system.

Drawbacks and Improvements of Simulation Environment
Because of the complex tunnel environment, the verification test environment needs to be discussed for such a complicated engineering mechanics problem.
(1) For the principle verification test, image acquisition module calibration experiment and wireless antenna attitude test, a relative stable environment was needed; thus, these tests were conducted in the laboratory reasonably; (2) For the data processing test and temperature change test, a real tunnel environment was needed.
However, because of the busy, dusty and vibrational construction sites, it was not only hard to study effects of single factor, but also inconvenient to conduct the tests in such a complex tunnel environment. Therefore, the tests were conducted in laboratory and studied without dust, and it would be better to simulate a dusty environment during the lab test; (3) For the system accuracy test, the deformation was simulated by a micro motion platform with a 1 µm accuracy. The micro motion platform was placed on a table and moved horizontally. However, for tunnel settlement deformation, it settled vertically. Given the isotropy of the image sensor for vertical and horizontal direction, the test was reliable, and the field test verified this adequately. In addition, it would be better to use a vertical micro motion platform for the deformation simulation in a vertical direction; (4) For the laser transmitter feasibility test, this test was conducted in a foggy night; thus, the simulation environment was similar to a tunnel, a dusty and dark environment in low visibility. (5) For the field test, the environment is dusty and even wet. In order to prevent the interference of tunnel dust and water mist, dirt shrouds and waterproof devices were used in laser transmitter module, image acquisition module and some electric parts. To improve the permeability of the laser beam, an automatic device needs to be added to clear the mud consisting of dust and water mist on the laser receiving screen and laser transmitter module glass window.

About Diffraction Rings of Laser Spots
In order to improve a laser transmitting effect, a set of optical lens were used, and this produced additional diffraction rings, as shown in Figure 25a. Precisely because of the dusty environment, the diffraction effect decreased through the dust [40], and this had advantages in the image process.

About Application of the Proposed System
The proposed system was designed for tunnel deformation monitoring in construction, but it is also suitable for the tunnel that has already been built. However, because of the heavy traffic or trains' passage, an unavoidable noise is produced in operating tunnels, and the noise intensity is different and relates to traffic volume, vehicle speed and vehicle type.
In order to solve this problem in the application of operating tunnels, a noise prediction model based on traffic volume, vehicle speed and vehicle type needs to be studied [41]. With this prediction model, a data compensation method should be proposed to compensate for the measurement error caused by unavoidable noise.

Conclusions
This paper presents a novel method based on laser and machine vision to automatically measure tunnel deformation of multiple interest points in real time and effectively compensate for the environment vibration, and, moreover, it can overcome influence of dusty and dark environments in low visibility. An automatic and wireless real-time tunnel deformation monitoring system that is based on laser and machine vision, and can give early warnings for tunnel collapse accidents, is proposed. Compensation methods are proposed to reduce the measurement errors caused by laser beam feasibility, temperature, air refraction index, and wireless antenna attitude. Experimental results show that the proposed monitoring system has a high detection accuracy, which can compensate for the shortcomings of the traditional tunnel deformation monitoring method in highly automatic real-time monitoring. The proposed system can also avoid the conflict with tunnel construction, that is, it realizes real-time monitoring during construction. Moreover, the monitoring system has good stability and repeatability. The detection accuracy is better than 0.12 mm, the repeatability accuracy is less than 0.11 mm, and the minimum resolution is 10 µm.

Conflicts of Interest:
The authors declare no conflict of interest.