## 3 Results
### Correlation Between Plantar Pressure and Temperature Data
#### 3.1.2 Anatomical Points and Correlation with Temperature  
Due to the large number of data points across different anatomical regions, it becomes challenging to present all the correlation results in a single table. Comprehensive results are available in the Supplementary Materials at the end of the paper (Supplementary Materials). Therefore, the key findings from each anatomical point are summarized below.  
First Metatarsal (1 stM)  
The correlation between temperature and pressure at the first metatarsal was generally weak. Several negative Pearson correlations were observed, particularly in relation to the MedMF temperature features. For example, the MedMF temperature features often showed weak inverse relationships with the 1 stM pressure data, indicating that temperature increases in the midfoot are weakly associated with pressure decreases at the first metatarsal.  
Third Metatarsal (3 rdM)  
The third metatarsal exhibited moderate negative correlations with temperature, especially in relation to the medial midfoot region. This suggests that, as the temperature increases in the midfoot, the pressure in the third metatarsal tends to decrease. For instance, MedMF_Ref_Min and 3 rdM_APP showed a Pearson correlation as low as \(r=-0.317\), indicating inverse relationship.  
Fifth Metatarsal (5 thM)  
The fifth metatarsal displayed more variable correlations with temperature. In some cases, such as with MedMF_Min and MedMF_Max, positive correlations were observed, suggesting that the temperature and pressure in this region increase together. This suggests that the lateral side of the foot experiences a localized mechanical and thermal response, where higher pressure is associated with increased temperature.  
Hallux  
The hallux consistently showed positive correlations with temperature, particularly in relation to the MedMF temperature features. The Pearson correlations between the MedMF temperature features and hallux pressure ranged from \(r=0.27\) to \(r=0.38\), indicating a moderate positive relationship. This suggests that, as the plantar pressure at the hallux increases, the temperature in the midfoot rises, reflecting the transfer of the mechanical load and thermal response in this region.  
Heel  
The correlations between the temperature and pressure in the heel were relatively weak compared to those in the hallux and metataralsals. Moderate positive correlations were observed in some cases, particularly in relation to MedMF_Min and MedMF_Max, suggesting that temperature increases in the heel are weakly associated with pressure increases.  
Lateral and Medial Midfoot (LatM and MedMF)  
The strongest correlations were observed in the midfoot regions, particularly the medial midfoot (MedMF). Both the Pearson and Spearman correlation coefficients showed moderate to strong positive correlations between LatM and MedMF pressure and temperature. For example, MedMF_Ref_Mean and MedMF_Ref_Max showed Pearson correlations above \(r=0.4\) with pressure at the LatM, indicating that increased pressure in the lateral midfoot is strongly associated with increased temperature in the medial midfoot.  
This analysis reveals several important patterns:  
* **Moderate Positive Correlations:** Strong correlations were observed between pressure and temperature in the midfoot regions, particularly in the MedMF and LatM regions, indicating an interdependence between the mechanical load and thermal responses in these areas.
* **Weaker or Negative Correlations:** In regions such as the 1 stM and 3 rdM, weaker or inverse correlations were found, suggesting that temperature variations have a limited effect on pressure in these areas.