## 4 Experiment Results and Discussion
### Ablation Studies
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c} \hline  & & **Plane** & **Bench** & **Box** & **Car** & **Chair** & **Display** & **Lamp** & **Speaker** & **Rife** & **Sofa** & **Table** & **Phone** & **Boat** & **Mean** \\ \hline \multirow{8}{*}{\
\begin{tabular}{} \end{tabular} } & IM-Net & 7.89 & 6.85 & 8.72 & 8.72 & 6.61 & 8.20 & 9.95 & 10.80 & 6.74 & 7.90 & 7.10 & 7.24 & 8.23 & 8.07 \\  & DISN & 6.84 & 5.73 & 6.97 & 6.80 & 5.64 & 7.65 & 11.27 & 10.77 & 3.50 & 6.06 & 6.01 & 7.08 & 5.83 & 6.94 \\  & MDISN & 6.32 & 5.13 & 6.84 & 6.87 & 5.57 & 7.39 & 10.06 & 10.26 & 3.53 & 6.29 & 5.95 & 6.72 & 5.94 & 6.68 \\  & D\({}^{2}\)IM-Net & 5.67 & 4.77 & 6.61 & 7.28 & 5.23 & 6.74 & 9.18 & 9.09 & 3.43 & 6.42 & 6.30 & 6.09 & 5.68 & 6.34 \\  & D\({}^{2}\)IM-Net & 5.98 & 5.16 & 6.91 & **6.46** & **5.04** & 7.13 & **8.97** & 9.73 & 3.57 & _6.02_ & **5.67** & 6.60 & **5.34** & 6.35 \\  & ED\({}^{2}\)IF\({}^{2}\)-Net-I & **5.31** & 4.51 & **6.54** & 6.76 & 5.19 & _6.51_ & _9.07_ & _8.94_ & _3.16_ & _6.03_ & 5.93 & _6.02_ & 5.45 & 6.11 \\  & ED\({}^{2}\)IF\({}^{2}\)-Net-L & 5.33 & **4.45** & _6.60_ & _6.72_ & _5.15_ & **6.49** & 9.11 & **8.87** & **3.12** & **5.98** & _5.86_ & **5.96** & _5.38_ & **6.08** \\ \hline \multirow{8}{*}{
\begin{tabular}{} \end{tabular} } & IM-Net & 2.53 & 2.85 & 4.47 & 3.34 & 2.70 & 3.23 & 3.36 & 4.20 & 3.14 & 2.98 & 2.85 & 2.42 & 3.05 & 3.16 \\  & DISN & 2.67 & 2.21 & 2.25 & 2.04 & 1.98 & 3.16 & 4.86 & 3.34 & 1.35 & 2.06 & 2.07 & 2.26 & 2.00 & 2.48 \\  & MDISN & 2.36 & 2.13 & 2.01 & 2.12 & 1.64 & 2.65 & 4.47 & 2.98 & 1.39 & 2.08 & 1.97 & 1.93 & 1.91 & 2.28 \\  & D\({}^{2}\)IM-Net & 1.99 & 1.67 & 1.79 & 2.07 & 1.71 & 1.95 & 3.16 & 2.64 & 1.28 & 2.01 & 1.88 & 1.62 & 1.73 & 1.96 \\  & D\({}^{2}\)IM-Net & 1.98 & 1.77 & 1.74 & **1.77** & **1.58** & 2.68 & _3.01_ & 2.72 & 1.77 & **1.78** & **1.74** & 2.14 & 2.27 & 2.07 \\  & ED\({}^{2}\)IF\({}^{2}\)-Net-T & **1.92** & _1.51_ & **1.66** & 1.94 & _1.63_ & _1.87_ & **2.99** & _2.48_ & 1.36 & 2.04 & 1.79 & _1.58_ & _1.65_ & _1.88_ \\  & ED\({}^{2}\)IF\({}^{2}\)-Net-L & 1.96 & **1.44** & _1.68_ & _1.85_ & _1.59_ & **1.79** & 3.04 & **2.41** & **1.26** & _1.88_ & 1.84 & **1.52** & **1.63** & **1.84** \\ \hline \end{tabular}
\end{table} 
Table 1: _Cont._* Option 7: Only the \(L_{Lap}\) of the standard ED\({}^{2}\)IF\({}^{2}\)-Net loss functions is removed and the rest remains unchanged. It can be noted from Figure 7 that, in this case, the surface details of the reconstruction cannot be clearly recovered and may produce distortions. * Option 8: The encoder in ED\({}^{2}\)IF\({}^{2}\)-Net-T is replaced with ResNet18, keeping the rest of the settings fixed. The reconstruction results are shown in Figure 7 and it can be noticed that there exist plenty of artifacts, which may be caused by ResNet18 being slightly inferior to PVT in terms of feature extraction, proving that PVT is optimal for ED\({}^{2}\)IF\({}^{2}\)-Net. * Option 9: When this option is selected, all HAMs in the SDD_N of the standard ED\({}^{2}\)IF\({}^{2}\)-Net are removed and the rest of the network settings remain fixed. As shown in Figure 7, the surface details of the reconstructed objects become unclear without the HAM, which is consistent with the quantitative results in Table 2, demonstrating that the variant leads to an increase in ECD-3D and ECD-2D. These results confirm the effectiveness of HAMs in enhancing surface details. * Option 10: We remove the DD from the standard ED\({}^{2}\)IF\({}^{2}\)-Net and exclude the \(L_{Def}\) term from the loss function to create a variant pipeline similar to D\({}^{2}\)IM-Net. As shown in Figure 7, the shapes reconstructed by this variant are not comparable to the ones reconstructed by the standard ED\({}^{2}\)IF\({}^{2}\)-Net. It is worth noting that the quantitative comparisons in Tables 1 and 2 show that, although the variant (marked in orange) has slightly lower performance than the standard ED\({}^{2}\)IF\({}^{2}\)-Net to some extent, it still outperforms D\({}^{2}\)IM-Net, which confirms the superiority of our network pipeline.