## 4 Experiments and Results
### Results
#### 4.4.6 Use-Case #3  
The images used in this third case were obtained from the study conducted by [PERSON] et al. [4]. Figure 1 shows the progression of DFU over 10 days. The patient had photographed the lesion twice daily, thinking it would heal spontaneously (Panel A). The preoperative photographs show erythema (day 1), blisters (day 3), a necrotizing abscess (day 6), and a wound infection requiring surgery (day 10) [4]. We will use these images to show how the model and process we propose can be used not only by doctors but also by patients.  
The radar charts shown in Figures 17 and 18 offer valuable insights into the progression of DFU in the patient. On day 1, the model indicates a similarity of 0.6 with the infection class while also showing high values for the healthy and none classes, which may lead to some confusion. However, by day 2, the model clearly emphasizes the infection class, and subsequent days exhibit a shift towards both infection and ischemia. These results effectively demonstrate the model's capability to track the development of DFU in the patient over time.  
In this specific case, the model acts as supplementary evidence to illustrate the progression of DFU. Comparable conclusions can be drawn by examining Figures 19 and 20.  
From Tables 7 and 8, the trends in terms of similarity follow the same pattern. From the research article [4], the following descriptions were obtained: erythema (day 1), blisters (day 3), a necrotizing abscess (day 6), and a wound infection requiring surgery (day 10). On day 10, with cosine distance, there is a high similarity between ischemia and both, but for Euclidean distance, there is the highest similarity between both on day 10. However, from day 9 to day 10, the reduction in both similarities poses a problem, as based on the description from the research article, the situation is actually even more serious. Here, again, we see the need to have a control protocol for taking the picture or have our model better learn similarity by experimenting more in terms of architecture or dealing with the class imbalance.  
\begin{table}
\begin{tabular}{l l l l l l l} \hline
**Time** & **Image** & **None** & **Infection** & **Ischemia** & **Both** & **Healthy** \\ \hline Day 1 & **Image A** & 0.03 & **0.31** & 0.10 & 0.09 & 0.00 \\ \hline Day 12 & **Image B** & **0.38** & 0.07 & 0.06 & 0.0 & 0.32 \\ \hline Day 13 & **Image C** & **0.35** & 0.17 & 0.06 & 0.0 & 0.29 \\ \hline \end{tabular}
\end{table}
Table 6: Results by applying Euclidean Distance for Use-Case #2.  
\begin{table}
\begin{tabular}{l l l l l l l} \hline
**Time** & **Image** & **None** & **Infection** & **Ischemia** & **Both** & **Healthy** \\ \hline Day 1 & **Image A** & 0.39 & **0.73** & 0.49 & 0.52 & 0.39 \\ \hline Day 12 & **Image B** & **0.74** & 0.46 & 0.40 & 0.37 & 0.70 \\ \hline Day 13 & **Image C** & **0.70** & 0.57 & 0.38 & 0.36 & 0.67 \\ \hline \end{tabular}
\end{table}
Table 5: Results by applying cosine distance for Use-Case #2.  
Figure 17: Longitudinal similarity: cosine similarity, part 1.  
Figure 18: Longitudinal similarity: cosine similarity, part 2.  
Figure 19: Longitudinal similarity: Euclidean distance, part 1.  
\begin{table}
\begin{tabular}{l c c c c c} \hline \hline
**Time** & **None** & **Infection** & **Ischemia** & **Both** & **Healthy** \\ \hline
**Day 1** & 0.65 & 0.60 & 0.40 & 0.60 & **0.67** \\ \hline
**Day 2** & 0.54 & **0.72** & **0.72** & 0.36 & 0.56 \\ \hline
**Day 3** & 0.31 & **0.94** & **0.94** & 0.41 & 0.36 \\ \hline
**Day 4** & 0.34 & **0.92** & **0.92** & 0.38 & 0.38 \\ \hline
**Day 5** & 0.24 & **0.89** & **0.89** & 0.52 & 0.26 \\ \hline
**Day 6** & 0.21 & **0.92** & 0.47 & 0.58 & 0.27 \\ \hline
**Day 7** & 0.16 & **0.78** & 0.53 & **0.74** & 0.22 \\ \hline
**Day 8** & 0.28 & 0.48 & 0.51 & **0.87** & 0.32 \\ \hline
**Day 9** & 0.22 & 0.53 & 0.50 & **0.92** & 0.26 \\ \hline
**Day 10** & 0.17 & **0.75** & 0.53 & **0.75** & 0.22 \\ \hline \hline \end{tabular}
\end{table}
Table 7: Results by applying cosine distance for Use-Case #3.