Submitted:
31 December 2023
Posted:
02 January 2024
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Related Works
2.1. Traditional Segmentation Methods
2.2. Enhancement Techniques
2.3. Optimization-Based Approaches
2.4. Particle Swarm Optimization (PSO) in Image Analysis
2.5. Fusion of Optimization and Image Enhancement
3. Materials and Methods
3.1. Dataset Selection
3.1.1. Lung CT-scan Dataset [79]
3.1.2. Chest X-ray (COVID-19) Dataset [80]
3.1.3. Ground Truth Annotations
3.2. Dataset Preprocessing
3.2.1. Image Conversion to 8-bit
3.2.2. Grayscaling
3.2.3. Image Enhancement with Histogram Equalization (HE)
3.2.4. Image Adjustment
3.3. Particle Swarm Optimization (PSO)
- a)
- Particle Initialization: We initialize a swarm of particles, where each particle represents a potential segmentation solution. The particles are assigned positions in the search space, corresponding to potential image partitions. In the context of medical image segmentation, each partition represents a potential delineation of regions of interest within the image.
- b)
- Objective Function: We define an objective function that quantifies the quality of a given image partition. The objective function considers factors such as intensity, gradient information, and region connectivity. The goal is to find the partition that minimizes this function, effectively identifying the optimal image segmentation.
- c)
- Optimization Iterations: The PSO algorithm iteratively updates the positions of particles based on their previous best positions and the best positions found by neighboring particles. Particles adjust their positions in search of the optimal image partition. The optimization process continues until convergence criteria are met or a specified number of iterations is reached. Each particle keeps track of two pivotal fitness values: “local best (pbest)” and “global best (gbest).” “pbest” signifies the best value achieved by an individual particle throughout the optimization process, recalculated iteratively at each time step. In contrast, “global best” represents the overarching best value attained among all particles’ “pbest” values up to that specific time step.
- d)
- Optimal Partition Extraction: The final result of the PSO optimization is the image partition that minimizes the objective function. This partition represents the segmentation of the input medical image into distinct regions of interest. The partition is chosen based on the collective behavior of particles, which adapt and explore the search space to find the best segmentation. Particle positions and velocities evolve dynamically based on the equations (1) and (2).
4. Results and Discussion
4.1. Experimental Setup
4.1.1. Preprocessing Parameters
4.1.2. PSO-Segmentation Parameters
4.1.3. Evaluation Metrics
4.2. Segmentation Performance
4.2.1. Analysis of Best Cost Values
-
Chest X-ray SegmentationWithout HE, the Best Cost values exhibit fluctuations within a relatively narrow range. This indicates that the PSO algorithm converges effectively to a stable solution. The consistency in Best Cost values can be attributed to the nature of Chest X-ray images, which already possess a certain level of contrast and grayscale distribution suitable for segmentation. When HE is applied, the Best Cost values slightly increase. This is likely due to HE redistribution of pixel intensities and emphasizing the overall contrast, which can create additional complexity in the segmentation process. However, despite the slight increase, the Best Cost values remain relatively stable.
-
Lung CT-Scan SegmentationIn the case of Lung CT-Scan images, the Best Cost values demonstrate more significant variations. Without HE, the algorithm exhibits periodic dips and peaks. The complexity in these images, characterized by intricate anatomical structures like lung parenchyma, blood vessels, and airways, contributes to the periodic fluctuations. These variations might indicate the algorithm’s challenges in settling on a precise segmentation solution. With HE preprocessing, the Best Cost values exhibit a notable reduction in fluctuations. The redistribution of pixel intensities through HE improves the overall contrast, resulting in a smoother convergence pattern. It is important to note that, in this context, a lower Best Cost value reflects a more accurate segmentation.The comparison between Chest X-ray and Lung CT-Scan datasets highlights the significance of dataset characteristics in influencing the convergence behavior of the PSO algorithm. Moreover, the impact of HE on the optimization process is more pronounced in Lung CT-Scan images, emphasizing the need for preprocessing methods tailored to the dataset’s characteristics.
4.2.2. Analysis of Evaluation Metrics
4.3. Segmentation Results Based-on the Cropping Object
4.3.1. Quality Enhancement with Preprocessing
4.3.2. Comparison with Other Segmentation Methods
5. Conclusions
Author Contributions
Funding
Informed Consent Statement
Conflicts of Interest
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| Medical Images | HE | Evaluation Metrics | ||||||
|---|---|---|---|---|---|---|---|---|
| Accuracy | Precision | Recall | F1-Score | Specificity | Dice | Jaccard | ||
| PSO-Segmentation Approach | ||||||||
| CT-Lung | No | 0.91893 | 0.90036 | 0.97545 | 0.9364 | 0.88041 | 0.9364 | 0.82984 |
| CT-Lung | Yes | 0.9563 | 0.96588 | 0.96811 | 0.967 | 0.93322 | 0.967 | 0.9361 |
| Chest X-ray | No | 0.90335 | 0.87424 | 0.93162 | 0.90202 | 0.87751 | 0.90202 | 0.82153 |
| Chest X-ray | Yes | 0.90363 | 0.86891 | 0.93714 | 0.90173 | 0.87369 | 0.90173 | 0.82105 |
| Otsu’s Approach | ||||||||
| CT-Lung | No | 0.91323 | 0.9422 | 0.928 | 0.93504 | 0.88283 | 0.93504 | 0.87801 |
| CT-Lung | Yes | 0.91893 | 0.90036 | 0.97545 | 0.9364 | 0.88041 | 0.9364 | 0.82984 |
| Chest X-ray | No | 0.91796 | 0.88379 | 0.95155 | 0.91642 | 0.88786 | 0.91642 | 0.84573 |
| Chest X-ray | Yes | 0.90796 | 0.92473 | 0.89751 | 0.91091 | 0.91947 | 0.91091 | 0.8364 |
| Watershed Approach | ||||||||
| CT-Lung | No | 0.87057 | 0.88893 | 0.91348 | 0.90104 | 0.79259 | 0.90104 | 0.8199 |
| CT-Lung | Yes | 0.9035 | 0.94483 | 0.91266 | 0.92847 | 0.88346 | 0.92847 | 0.86649 |
| Chest X-ray | No | 0.89371 | 0.89279 | 0.89778 | 0.89528 | 0.88954 | 0.89528 | 0.81041 |
| Chest X-ray | Yes | 0.88755 | 0.92746 | 0.86203 | 0.89355 | 0.91842 | 0.89355 | 0.80758 |
| K-means Approach | ||||||||
| CT-Lung | No | 0.82512 | 0.8654 | 0.87008 | 0.86773 | 0.73812 | 0.86773 | 0.76636 |
| CT-Lung | Yes | 0.9132 | 0.94216 | 0.92799 | 0.93502 | 0.88276 | 0.93502 | 0.87798 |
| Chest X-ray | No | 0.91754 | 0.88928 | 0.94544 | 0.9165 | 0.9165 | 0.84587 | 0.89192 |
| Chest X-ray | Yes | 0.90794 | 0.92473 | 0.89749 | 0.9109 | 0.9109 | 0.83638 | 0.91947 |
| Medical Images | Preprocessed | Ground Truth | Segmented | Cropped Comparison | ||
|---|---|---|---|---|---|---|
| Yes/No | Result | F1-Score | Specificity | |||
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Yes | ![]() |
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No | ![]() |
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Yes | ![]() |
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No | ![]() |
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| No | Ground Truth | HE | PSO Proposed | Comparison with Other Methods | ||
|---|---|---|---|---|---|---|
| Otsu | Watershed | K-Means | ||||
| 1 | ![]() |
Yes | ![]() |
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| 2 | ![]() |
No | ![]() |
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| 3 | ![]() |
Yes | ![]() |
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| 4 | ![]() |
No | ![]() |
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