In this paper, we address the challenging problem of 4D reconstruction from sparse-view videos. This setup usually relies on monocular depth estimation to provide priors for the reconstruction model. A key challenge arises from limited cross-view overlap and temporal variation, making monocular depth predictions inconsistent across views and time. Existing methods align spatial and temporal dimensions in separate stages, requiring foreground segmentation masks while failing to leverage temporal cues for cross-view alignment. Contrary to these methods, we propose a unified spatial-temporal depth alignment framework that jointly resolves cross-view and cross-time inconsistencies without distinguishing foreground/background. Our method represents depth maps across views and time as a set of spatio-temporal neural fields. This representation not only yields fast convergence, but also captures spatio-temporal correlation among depth maps implicitly, without dependence on external segmentation/tracking models. We also propose a multi-view depth-order loss while leveraging the classic scale-and-shift-invariant loss to further improve the final depth quality. The aligned depths initialize and supervise Gaussian splatting models for 4D reconstruction. Experiments on Ego-Exo4D and EgoHuman demonstrate that our improved depth alignment substantially benefits dynamic Gaussian-splatting-based reconstruction methods for novel-time/view synthesis and geometry accuracy/consistency.
Figures & tables
Figure 1: Sparse-view 4D Reconstruction via spatially and temporally aligned monocular depths. Left: given 4-view video streams with minimal overlap, we leverage a unified spatio-temporal depth alignment framework to produce multi-view consistent (top) and temporally coherent (bottom) depth maps. Right : the aligned depth maps serve as both initialization and supervision for 4D reconstruction, substantially improving the quality over state-of-the-art methods, achieving reasonable novel view synthesis even when shifted ∼45∘ from the training view.
Figure 2: Overview of our method. Given monocular depths (estimated from RGB images) and sparse SfM points from sparse synchronized cameras ( left ), we align them jointly across views and time via per-view spatio-temporal neural fields ( Stage 1 ). Each view maintains spatial and depth encodings shared across time, while a per-view deformation MLP predicts depth offsets along ray directions. Temporal variation is captured through low-rank residual weight conditioning ( inset ): each layer’s weights decompose into a shared base plus a compact residual parameterized by per-frame temporal coefficients. The aligned depths initialize and supervise 4D Gaussian splatting for novel-view/time synthesis ( Stage 2 ).
Figure 3: Qualitative analysis of held-out frames of training view on EgoExo4D. Our aligned depth enhances the geometry quality of both MonoFusion and deformable 2DGS, removing ghosting artifacts that are clearly visible in the held-out frames (top two rows), while substantially improving the overall depth quality of deformable 2DGS(bottom two rows).
Full image
Dynamic region
Method
PSNR ↑
SSIM ↑
LPIPS ↓
AbsRel ↓
PSNR ↑
SSIM ↑
LPIPS ↓
SOM †
14.73
0.535
0.482
0.843
15.63
0.559
0.450
Dyn3D-GS †
24.28
0.692
0.539
0.612
24.61
0.673
0.384
MV-SOM-DS †
28.37
0.906
0.079
0.398
28.23
0.931
0.063
MV-SOM †
26.91
0.890
0.138
0.474
27.31
0.919
0.078
MonoFusion †
30.43
0.927
0.061
0.290
29.71
0.947
0.017
Table 1: Quantitative comparison on Ego-Exo4D. Baseline results (marked † ) are copied from MonoFusion [ 72 ] . “X + Ours” denotes backend X initialized and supervised with our aligned depths.
Method
PSNR ↑
SSIM ↑
LPIPS ↓
SOM
13.97
0.652
0.645
MV-SOM
13.36
0.588
0.564
SplatFields
17.74
0.675
0.571
MonoFusion
14.15
0.436
0.628
MonoFusion + Ours
20.41
0.612
0.492
(+6.26)
(+.176)
(-.136)
Table 2: Quantitative comparison on EgoHuman. We evaluate novel view synthesis on two sequences from the EgoHuman dataset, substantially outperforming all baselines.
Figure 4: Qualitative analysis of novel view synthesis on EgoExo4D. We show extreme novel view synthesis results ( ∼45∘ from training view), further confirming that our aligned depth consistently benefits the baseline models.
Figure 5: Qualitative Results on the EgoHumans dataset. On the more challenging EgoHumans dataset, our aligned depth helps MonoFusion to recover from catastrophic failure, while significantly improving the novel view rendering quality of deformable 2DGS.
MonoFusion
Def-GS
Configuration
PSNR ↑
SSIM ↑
LPIPS ↓
PSNR ↑
SSIM ↑
LPIPS ↓
(a) Per-frame MAtCha
30.14
0.943
0.070
32.60
0.956
0.071
(b) + time embedding
28.53
0.935
0.088
32.60
0.947
0.071
(c) + residual weights
30.90
0.948
0.067
33.61
0.960
0.055
(d) + Lorder
31.52
0.953
0.065
33.90
0.961
0.055
(e) + Lssi (full)
31.63
0.955
0.064
34.66
0.963
0.049
Table 3: Progressive ablation of alignment components on Ego-Exo4D on two Gaussian splatting backends.
Figure 6: Limitations. While our improved depth consistently enhanced the geometry quality of the different baselines, we note that the naive deformable 2DGS can sometimes become the bottleneck and fail to capture the fast/complex motion. In such a case, MonoFusion, when combined with proper depth initialization/supervision from our method, can produce more reasonable foreground geometry and rendering.
Appendix figures & tables11 assets
Supplementary material from the paper’s appendix.
Appendix
Padding Ratio
PSNR ↑
SSIM ↑
LPIPS ↓
1.0×
25.94
0.924
0.074
1.1×
27.20
0.943
0.060
1.2×
28.25
0.955
0.049
1.4×
29.48
0.958
0.040
MonoFusion †
29.71
0.947
0.017
Appendix
Table 4: Sensitivity analysis of the foreground padding ratio. We evaluate the impact of different padding scales on photometric metrics for dynamic objects. The ratio 1.4× is selected as it yields results most consistent with the baseline values reported in MonoFusion [ 72 ] .
Figure 7: Qualitative Analysis of temporal encoding . We unproject depth maps from one view to demonstrate the effectiveness of our temporal encoding.
Figure 8: Qualitative Analysis depth order loss . For better understanding, we use depth unprojections from 2 opposed views to highlight multi-view consistency.
Method
Reproj. Consistency ↓
Flow-warped Depth ↓
Order Violation ↓
MAtCha
0.585
0.034
9.75%
MonoFusion
0.648
0.016
28.10%
Ours
0.536
0.015
4.84%
Appendix
Table 5: Direct evaluation of depth alignment quality on Ego-Exo4D. Our method improves cross-view reprojection consistency, temporal depth stability, and cross-view depth-order consistency without relying on Gaussian splatting optimization.
Method
PSNR ↑
SSIM ↑
LPIPS ↓
MonoFusion
16.83
0.846
0.514
MonoFusion + Ours
18.49
0.894
0.440
Def-2DGS
16.82
0.825
0.476
Def-2DGS + Ours
19.15
0.906
0.331
Appendix
Table 6: Experiment on an additional Harmony4D scene.
Def-GS
MonoFusion
Configuration
PSNR ↑
SSIM ↑
LPIPS ↓
PSNR ↑
SSIM ↑
LPIPS ↓
(a) Per-frame MAtCha
20.93
0.830
0.305
19.54
0.566
0.516
(b) + residual weights (ours)
21.80
0.804
0.309
19.59
0.590
0.514
(c) + Lorder
22.15
0.815
0.306
19.94
0.583
0.506
(d) + Lssi (full)
22.76
0.856
0.277
20.41
0.612
0.492
Appendix
Table 7: Progressive ablation of alignment components on EgoHuman on two Gaussian splatting backends.
R
PSNR ↑
SSIM ↑
LPIPS ↓
4
33.76
0.969
0.047
8
34.66
0.963
0.049
16
34.51
0.966
0.045
Appendix
Table 8: Ablation on residual rank R on Ego-Exo4D (Def-2DGS + Ours).
Loss type
PSNR ↑
SSIM ↑
LPIPS ↓
Hinge (ours)
34.66
0.963
0.049
Symmetric L1
34.44
0.966
0.047
Appendix
Table 9: Ablation on Lorder formulation on Ego-Exo4D (Def-2DGS + Ours).
#Cams
Method
PSNR ↑
SSIM ↑
LPIPS ↓
3
Def-2DGS
15.14
0.485
0.630
Def-2DGS + Ours
18.91
0.731
0.417
6
Def-2DGS
18.42
0.645
0.468
Def-2DGS + Ours
21.79
0.842
0.271
Appendix
Table 10: Evaluation under different camera baselines on EgoHuman using Def-2DGS as the backend. The 3- and 6-camera settings roughly correspond to 120∘ and 60∘ camera spacing, respectively.
Figure 9: More qualitative results of novel view synthesis on EgoExo4D.
Figure 10: We initialize and supervise Deformable 2DGS on EgoHuman using depth priors predicted by VGGT.
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