Submitted:
14 October 2025
Posted:
15 October 2025
You are already at the latest version
Abstract
Keywords:
1. Introduction

2. Methodology
2.1. Theoretical Justification
2.2. Yolov Method8: Data Augmentation and Initial Training

- HFOV is the total width of the field of view in the plane of the object in degrees;
- VFOV is the total height of the field of view in the plane of the object in degrees;
- D the distance from the camera to the disk (mm);
- is the horizontal angle of the field of view in degrees;
- is the vertical angle of the field of view in degrees;
- is the conversion factor of degrees to radians.
2.3. Yolov8 Medium and U-Net (ResNet50) Method: Data Acquisition and Augmentation
2.4. Yolov8 Medium and U-Net Method: How It Works
- x: Is the input value to the function (the output from the previous layer).
- e: Is the base of the natural logarithm.
- : Is the output of the sigmoid function, a value between 0 and 1.
- L: Is the calculated loss value.
- N: Is the number of samples (or pixels in the case of segmentation).
- : Is the true label for the i-th sample (0 or 1).
- : Is the predicted probability for the i-th sample by the model (a value between 0 and 1, typically the output of the sigmoid function).
- log: Represents the natural logarithm.
- x: Is the input to the neuron.
2.5. Yolov8 Medium and U-Net Method: How It Works
3. Results
- TP: True Positives – correctly detected cracks;
- FP: False Positives – detections incorrectly classified as cracks;
- FN: False negatives – actual cracks that were not detected.
| Type | Train Loss | Val Loss | Precision | mAP50 | mAP50-95 | Recall | mIoU |
|---|---|---|---|---|---|---|---|
| Yolov8 | 0.45 | 0.53 | 0.85 | 0.69 | 0.65 | 0.68 | – |
| Yolov8m | 0.34 | 0.51 | 0.98 | 0.99 | 0.89 | 0.97 | – |
| U-Net | 0.24 | 0.39 | 0.71 | – | – | 0.75 | 0.61 |
| Simplified U-Net with data augmentation and fine tunning | 0.24 | 0.28 | 0.79 | – | – | 0.88 | 0.71 |
| U-Net Transfer Learning (Backbone ResNet50) | 0.18 | 0.14 | 0.90 | – | – | 0.92 | 0.83 |
| Final model (YOLOv8m and U-Net Transfer Learning (Backbone ResNet50)) | 0.003 | 0.03 | 0.90 | – | – | 0.86 | 0.89 |
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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| Type | Original | Data augmentation | Training | Validation |
|---|---|---|---|---|
| RGB and grayscale | 1000 | 13850 | 11080 | 2770 |
| Grayscale | 1000 | 13850 | 11080 | 2770 |
| Type | Epochs | Learning Rate | Early stopping | Cost Function | Batch | Seed |
|---|---|---|---|---|---|---|
| U-Net with ResNet50 | 150 | 0.0001 | 25 | Sigmoid | 12 | – |
| Yolov8m | 250 | 0.0001 | 25 | SiLU, Sigmoid and Softmax | 12 | 0 |
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