Mini-Crack Detection of Conveyor Belt Based on Laser Excited Thermography
Abstract
:1. Introduction
2. Mini-Crack Detection System Based on Laser Excited Thermography
2.1. Detection Theory
2.2. Detection System
3. Principle of the Proposed Method
3.1. Mini-Crack Feature Extraction Based on Laser Excited Thermography
- Collect the thermal image by using the laser thermography system. Thermal response image Ri(x, y) is captured by an infrared camera, and then (x, y) will be defined as pixel coordinate. After obtaining all thermal response images Ri(x, y) in the current time T, they are converted into grayscale image gi(x, y) = Ri(x, y).
- Extract feature regions from the n grayscale images gi(x, y). The laser region of each image is intercepted as the feature image as Fi(x, y), and the size of Fi(x, y) is (s, w), where s = vt, v is the operation speed of the conveyor belt, and t is the time difference between two frames of images. The w is width of conveyor belt.
- Perform further image processing of the feature image Fi(x, y). Firstly, the reference image Res(x, y) is made, that is, the thermal image without laser scanning; Then, the feature image is subtracted from the reference image Fi*(x, y) = Fi(x, y) − Res(x, y).
- Construct the final mini-crack feature image. After all grayscale feature images Fi*(x, y) are obtained in the above steps, matrix Mosaic and fusion are carried out to construct the final mini-crack feature image M(x, y).
3.2. Image Enhancement Based on Heat Signal
- Select a 3 × 3 template operator.
- Obtain the pixel point (i, j) with the highest gray value. The pixel point (i, j) with the highest gray value in the current line pixels of the mini-crack feature image M(x, y) is obtained, and is taken as the central reference pixel of the weighting function. The pixel in the center of the template is (i0, j0). The further the pixel in the template is from the (i, j), the smaller the weight should be assigned.
- Calculate the weighted function by Equation (2). The weight coefficient of each pixel in the 3 × 3 template is inversely proportional to the distance from the pixel to the center of the template.
- 4.
- Perform the weighted balance of the power function. The schematic of weighted template operator for image enhancement is shown in Figure 5. Based on Equation (2), the weighting coefficient of each pixel is determined by the distance between the template center and the pixel point. Then the template is moved horizontally or vertically according to a certain step size, and the weighted balance of power function is performed on all pixels in the template.
3.3. Threshold Segmentation
3.4. Determine Mini-Crack
- Suppose there exists a point (x, y) on the mini-crack line in Cartesian coordinate system, which can be expressed by polar coordinates as
- 2.
- For each group (r, θ) in polar coordinates corresponds to a line that passing through the point (x, y) in rectangular coordinates. For a given point (x, y), draw all the lines that passing through the point in polar coordinates, and obtain the sine curve;
- 3.
- Repeat the above steps for all points in the original image. Set the threshold and calculate the number of curves corresponding to each intersection point in the image. If the number of curves that intersecting at one point exceeds the threshold, the pair of parameters (r, θ) represented by the intersection point is considered a line in the original intersection point.
- 4.
- The equation of the line is obtained through Hough line detection, then the distance X between the two lines is calculated by the linear distance function. According to the camera calibration results, an appropriate threshold D is set to discriminate mini-crack and crack. When X = 0, the test result is normal; When X < D, the detected damage is considered as a mini-crack; When X > D, the damage is considered as crack.
4. Experimental Setup, Procedure, Results, and Analysis
4.1. Experiment Parameter
4.2. Experimental Procedure
4.3. Experimental Results
5. Conclusions and Future Work
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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True Value/mm | Measured Value | ||||||||
---|---|---|---|---|---|---|---|---|---|
Lengthobserved (50) | Lengthobserved (100) | Lengthobserved (150) | |||||||
Lengthactual | Widthactual | Accuracy (%) | Lengthactual | Widthactual | Accuracy (%) | Lengthactual | Widthactual | Accuracy (%) | |
Width(1) | 50.00 | 1.76 | 62.00 | 100.50 | 1.76 | 61.75 | 150.59 | 1.76 | 61.80 |
Width(2) | 50.00 | 2.35 | 91.25 | 98.24 | 2.35 | 90.37 | 150.59 | 2.35 | 91.05 |
Width(3) | 50.00 | 3.53 | 91.17 | 99.41 | 3.53 | 90.87 | 148.82 | 3.53 | 90.77 |
Width(4) | 50.00 | 4.12 | 98.50 | 100.00 | 3.53 | 94.12 | 150.59 | 3.53 | 93.93 |
Width(5) | 49.41 | 4.71 | 96.51 | 99.41 | 4.71 | 96.81 | 150.59 | 5.29 | 96.90 |
Width(6) | 48.82 | 5.88 | 97.82 | 98.82 | 5.88 | 98.41 | 150.00 | 5.88 | 99.00 |
Width(7) | 50.00 | 6.47 | 96.21 | 99.41 | 6.47 | 95.91 | 150.59 | 6.47 | 96.02 |
Width(8) | 49.41 | 8.24 | 97.91 | 100.00 | 7.65 | 97.81 | 150.00 | 7.65 | 97.81 |
Width(9) | 49.41 | 8.82 | 98.41 | 99.41 | 8.82 | 98.71 | 150.00 | 8.82 | 99.00 |
Width(10) | 49.41 | 10.00 | 99.41 | 99.41 | 10.0 | 99.71 | 150.59 | 9.41 | 96.85 |
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Zeng, F.; Zhang, S.; Wang, T.; Wu, Q. Mini-Crack Detection of Conveyor Belt Based on Laser Excited Thermography. Appl. Sci. 2021, 11, 10766. https://doi.org/10.3390/app112210766
Zeng F, Zhang S, Wang T, Wu Q. Mini-Crack Detection of Conveyor Belt Based on Laser Excited Thermography. Applied Sciences. 2021; 11(22):10766. https://doi.org/10.3390/app112210766
Chicago/Turabian StyleZeng, Fei, Sheng Zhang, Tao Wang, and Qing Wu. 2021. "Mini-Crack Detection of Conveyor Belt Based on Laser Excited Thermography" Applied Sciences 11, no. 22: 10766. https://doi.org/10.3390/app112210766
APA StyleZeng, F., Zhang, S., Wang, T., & Wu, Q. (2021). Mini-Crack Detection of Conveyor Belt Based on Laser Excited Thermography. Applied Sciences, 11(22), 10766. https://doi.org/10.3390/app112210766