4D Gaussian Splatting in the Wild with Uncertainty-Aware Regularization

Novel view synthesis of dynamic scenes is becoming important in various applications, including augmented and virtual reality. We propose a novel 4D Gaussian Splatting (4DGS) algorithm for dynamic scenes from casually recorded monocular videos. To overcome the overfitting problem of existing work for these real-world videos, we introduce an uncertainty-aware regularization that identifies uncertain regions with few observations and selectively imposes additional priors based on diffusion models and depth smoothness on such regions. This approach improves both the performance of novel view synthesis and the quality of training image reconstruction. We also identify the initialization problem of 4DGS in fast-moving dynamic regions, where the Structure from Motion (SfM) algorithm fails to provide reliable 3D landmarks. To initialize Gaussian primitives in such regions, we present a dynamic region densification method using the estimated depth maps and scene flow. Our experiments show that the proposed method improves the performance of 4DGS reconstruction from a video captured by a handheld monocular camera and also exhibits promising results in few-shot static scene reconstruction.

Paper

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Peer review

Reviewer fqxz3/10 · confidence 5/52024-07-03

Summary

The research introduces UA-4DGS, a novel approach designed to reconstruct dynamic scenes from monocular videos. UA-4DGS compensates for information loss due to large motion and self-occlusion by incorporating diffusion priors with pixel-wise uncertainty scores. It proposes an uncertainty-aware diffusion-based regularization, which selectively enhances uncertain regions while maintaining certain ones, preventing inconsistencies with training images. It also identifies and addresses the initialization problem in Gaussian Splatting for dynamic scenes, where static scene-focused Structure from Motion (SfM) techniques fail to initialize dynamic regions properly. They propose dynamic region densification to enhance reconstruction performance and memory efficiency by adding extra Gaussian points to dynamic areas.

Strengths

The paper is presented very clearly, well structured, and it is in general easy to follow and understand. UA-4DGS's effectiveness is demonstrated using the DyCheck benchmark with complex object motions. Additionally, the research shows that integrating uncertainty considerations into other NeRF regularization techniques can also improve performance.

Weaknesses

1. Writing Quality: The paper contains many typographical and grammatical errors, as well as notation misuse, e.g. L31, 37, 44, 79, and 124. I recommend a thorough review to correct these mistakes. 2. Some assumptions and claims in the paper are questionable and require further validation. For instance, the basic assumption regarding the definition of certainty ("we assume that Gaussians frequently visible in the training images have low uncertainty, while those seen less often due to motion or occlusion have high uncertainty, as they are reconstructed with lower accuracy") and the claim about under-reconstruction in dynamic regions ("under-reconstruction in dynamic regions negatively impacts the training process, resulting in an excessive number of gaussian points and slowing down inference time") need to be substantiated with additional evidence. 3. Experimental results: The experimental results presented in Figure 3 are disappointing. While the proposed UA-4DGS method seems to outperform the baselines, the results are still unsatisfactory, with significant noise and blurriness. Additionally, the comparison is based on only seven images, which is insufficient. I strongly suggest expanding the testing to include more cases to provide a more comprehensive evaluation of the model's performance.

Questions

1. In L171, why use both L1 and L2 losses at the same time? 2. Could you introduce more details about L176 - "Thus, we cache 200 images every 2000 iterations for training efficiency."?

Rating

3

Confidence

5

Soundness

2

Presentation

2

Contribution

2

Limitations

The limitations of this paper are primarily found in the method's assumptions and the experimental demonstrations. Please refer to the weaknesses part for more details.

Authorsrebuttal2024-08-13

We sincerely appreciate your valuable feedback. We fully understand and acknowledge your comments, yet we kindly ask that you consider our final, careful clarification regarding our contribution. Your consideration of this would be greatly appreciated. We have addressed an **emerging and challenging problem of 4D-Gaussian splatting (4DGS)**, especially in in-the-wild settings. Despite the inherent difficulty of the task, by proposing novel training schemes, we have improved both the qualitative and quantitative performance of existing baselines in these challenging settings, as highlighted by Reviewer 6fVK. Additionally, in terms of addressing the emerging and challenging problem of 4DGS, we believe **our paper offers valuable insights and directions that will make a meaningful contribution to the field**. Regarding the qualitative results, we suggested referring to the response to Reviewer 6fVK in our previous response. As we have not responded directly, we would now like to summarize and emphasize the key points here. - Our target **in-the-wild dataset is particularly challenging**, as evidenced by existing 4DGS baselines achieving PSNRs below 15 on this dataset, compared to over 25 on other datasets. This difficulty helps explain why the overall qualitative results in this in-the-wild dataset appear lower in quality compared to other commonly used datasets. - In the extremely challenging dataset, although some residual blurriness remains, **UA-4DGS consistently outperforms 4DGS baselines and significantly reduces blurriness**, as illustrated in both the main paper and the supplementary pdf file. As detailed in our response to Reviewer LdSG, our method also enhances baseline performance on the easier NeRF-DS dataset [1], where overall PSNR is higher and noisy artifacts are almost nonexistent compared to the challenging settings for both the baseline and our method. This suggests that **the blurriness primarily results from the difficulties inherent to the in-the-wild datasets, and our method effectively enhances performance on easier datasets without such issues**. - Our training scheme is **general and can be integrated with any 4DGS framework**, potentially enhancing performance through improved Gaussian deformation strategies. We demonstrated this compatibility in our response to Reviewer LdSG. We appreciate your time and thoughtful feedback, and promise to revise our paper to include the discussions and responses provided during the rebuttal period. If you have any further concerns or questions, please feel free to reply to this message. [1] NeRF-DS: Neural Radiance Fields for Dynamic Specular Objects. CVPR 2023

Reviewer LdSG7/10 · confidence 5/52024-07-06

Summary

This paper proposes an uncertainty-aware regularization technique that uses diffusion priors to improve the reconstruction quality of underfitted areas. and a dynamic region densification technique to address the missing initialization problem on dynamic regions. Experiments verify the proposed techniques.

Strengths

1. The proposed regularization method, which applies uncertainty-aware diffusion priors on unseen views, can reduce inconsistencies with training images. 2. The proposed dynamic region densification can deal with the issue of missing initialization in dynamic regions. 3. The paper is well-written and easy to follow.

Weaknesses

1. The experimental setup is not reasonable. The goal of this paper is to reconstruct dynamic scenes from monocular videos. However, as shown in Sec. 7.2, only one part is relevant to evaluating the proposed method, while the other two involve the generalization of uncertainty-aware regularization. I think the authors should conduct more experiments on the dynamic scene datasets and move the two parts about generalization into the `Appendix`. 2. As shown in L206, the authors claim the proposed method will compare with SC-GS. However, I cannot find such a comparison in Tables and Figures. Moreover, the proposed method should also be compared with Deformable 3D-GS[1]. 3. The `Appendix` should be placed after the `References`. [1] Yang, Z., Gao, X., Zhou, W., Jiao, S., Zhang, Y., Jin, X.: Deformable 3D Gaussians for high-fidelity monocular dynamic scene reconstruction. In CVPR. (2024)

Questions

See weaknesses. More, - According to Table 2, for three components of the proposed method, *Dynamic Densification* plays the most important role (+1.3 mPSNR), $L_{\mathrm{data}}$ is the second important (+0.49 mPSNR), and $L_{\mathrm{UA-diff}}$ is the least important. (+0.26 mPSNR). I would like to know the performance of each component when used individually. - The proposed method seems to be able to change 4D-GS to any other GS-based method. I would like to know the performance of the proposed method when applying it on Deformable 3D-GS or SC-GS.

Rating

7

Confidence

5

Soundness

3

Presentation

4

Contribution

3

Limitations

This paper does **not** discuss the limitations and broader impacts.

Reviewer LdSG2024-08-08

Thank you for the rebuttal

Thank the authors for their detailed rebuttal! It helped with most of my concerns. However, I still think it is not enough to evaluate the proposed method on only one dataset of dynamic scenes. There are some datasets recommended: 1. NeRF-DS dataset used by Deformable 3D-GS 2. NVIDIA Dynamic dataset used by DynamicNeRF[1] 3. Unbiased4D Dataset [2] - [1] Chen Gao, Ayush Saraf, Johannes Kopf, and Jia-Bin Huang. Dynamic view synthesis from dynamic monocular video. In ICCV, 2021 - [2] Johnson, Erik, et al. "Unbiased 4d: Monocular 4d reconstruction with a neural deformation model." In CVPR, 2023.

Authorsrebuttal2024-08-11

We strive to provide comprehensive answers and hope our responses have addressed your queries. Nevertheless, we acknowledge that there might be moments of ambiguity or potential misunderstandings. Please don't hesitate to seek further clarification on any aspect of our work. We're also grateful for the points you raised about compatibility with other 4DGS baselines in Question 2. To demonstrate this, we integrated our proposed methods into the Deformable-3DGS [1]. The table below shows quantitative results, highlighting how our method enhances the performance of another 4DGS baseline. |Method |M-PSNR| M-SSIM| M-LPIPS| |---|-----|-----|----| |Deformable-3DGS [1] |13.75 | 0.398 | 0.495 | |Deformable-3DGS [1] + Ours | 15.31 | 0.434 | 0.418 | Thank you for suggesting additional monocular video datasets. We tested our algorithm on the plate scene in the NeRF-DS dataset [2], as shown in the table below, further demonstrating the generality of our method. We believe our approach can also be applied to other datasets, including [3,4]. We will incorporate these insights into our revised paper. |Method |PSNR | SSIM | LPIPS| |---|-----|-----|----| |Deformable-3DGS [1] | 20.48 | 0.812 | 0.222 | |Deformable-3DGS [1] + Ours |20.74 |0.814 | 0.213 | [1] Deformable 3D Gaussians for High-Fidelity Monocular Dynamic Scene Reconstruction. CVPR 2024 [2] NeRF-DS: Neural Radiance Fields for Dynamic Specular Objects. CVPR 2023 [3] Dynamic view synthesis from dynamic monocular video. ICCV 2021 [4] Unbiased 4d: Monocular 4d reconstruction with a neural deformation model. CVPR 2023

Reviewer LdSG2024-08-11

Thanks for the replay

I thank the authors for their efforts. I recommend this paper for acceptance.

Authorsrebuttal2024-08-11

Thank you for your thoughtful feedback on our work and for improving the rating. We promise to revise our paper by considering your comment. If you have any questions related to the work, please don't hesitate to leave comments.

Reviewer 6fVK6/10 · confidence 4/52024-07-13

Summary

This paper tackles the problem of modeling dynamic 3D scenes from monocular videos. To tackle the more challenging dynamic regions in 4D Gaussians, the authors propose to measure the uncertainty and guide those regions with diffusion priors, while keeping certain regions unchanged. In addition, the authors propose to re-initialize the dynamic regions for better performance. Uncertainty of Gaussian points is measured by their visibility in the training set. Re-initialization of dynamic Gaussian is done by exploiting pre-trained depth and optical flow models.

Strengths

1. Complete ablation studies. 2. Improved quantitative results with respect to the baseline (4DGS). 3. Large quantitative improvements for the sparse view case.

Weaknesses

Major 1. Qualitative results are still of low quality (similar to the previous works). 2. Model training depends on several pre-trained models on different tasks, which increases the complexity of the overall method. Minor 1. Main performance improvement comes from the initialization strategy 2. Missing definition of co-visibility mask 3. Check the writing continuity of lines 190 and 191

Questions

Where is the "camera information" in line 188, is it from COLMAP?

Rating

6

Confidence

4

Soundness

3

Presentation

3

Contribution

2

Limitations

The authors checked the limitation box in the checklist. However, I cannot see the limitations section in the paper nor the appendix.

Authorsrebuttal2024-08-11

Thank you for your feedback on our results; the quantitative results have significantly improved, but there is still room for enhancement in the qualitative results. Firstly, we acknowledge this, but it’s important to consider that **our target in-the-wild dataset is particularly challenging**, as evidenced by the fact that **existing 4DGS baselines struggle to achieve a PSNR above 15 in our target dataset, whereas they often exceed 25 on other datasets**. This suggests that it is quite natural for the qualitative results to appear lower in quality compared to those from common 4DGS settings. Secondly, although UA-4DGS contains some blurriness in the extremely challenging dataset [1] (tackled in our main paper), it **significantly outperforms the 4DGS baselines**, as shown in the attached file. Additionally, in case relatively less challenging NeRF-DS [2] dataset, we observed that our algorithm enhances the baseline with higher fidelity, without blurriness, as demonstrated in our response to Reviewer LdSG. Thus, the blurriness is primarily due to the difficulty of the target in-the-wild datasets, and our method is also capable of enhancing performance in easier datasets. Finally, our method focuses on the training scheme, not the 4DGS network architecture. Since **the proposed training scheme is indeed general**, it can be seamlessly integrated into existing 4DGS baselines, as demonstrated in our response to Reviewer LdSG. Therefore, we believe our algorithm could achieve even greater performance when combined with future baselines that refine their architecture for better Gaussian deformation strategies. Of course, regardless of the baseline selection, we are committed to continuing our exploration of methods to enhance 4DGS in such a challenging setting. If you have any further questions or would like additional clarification, please do not hesitate to contact us. We would be glad to provide more information or discuss any aspect of our work in greater detail. Your feedback is deeply appreciated, and we are fully committed to addressing any concerns you may have. [1] Monocular Dynamic View Synthesis: A Reality Check. NeurIPS 2022 [2] NeRF-DS: Neural Radiance Fields for Dynamic Specular Objects. CVPR 2023

Reviewer 6fVK2024-08-12

Thanks for the clarification

Thanks for your clarifications. I recognize that the proposed method yields better results than the other methods, but it is still far from perceptually pleasant. For this reason, I can only raise my score to weak accept.

Authorsrebuttal2024-08-13

We sincerely appreciate your insightful feedback and the further positive improvement in the rating of our work. We are also grateful for your acknowledgment of the strengths of our method, particularly its advanced qualitative and quantitative performance compared to existing works. Our paper addresses the emerging and challenging problem of 4D Gaussian splatting, especially in in-the-wild settings, and we believe it provides valuable insights and directions that will make a meaningful contribution to the field. Thank you for your time and thoughtful feedback. If you have any further concerns or questions, feel free to reply to this message.

Reviewer 6fVK2024-08-09

Thanks for your reply

Thanks for your answers. I appreciate the additional results, but, as other reviewers pointed out, the qualitative performance is below what NeurIPS expects, making me believe this work still needs more refinement.

Reviewer fqxz2024-08-10

Thanks for the rebuttal

Dear Authors, I appreciate your efforts in the rebuttal and for providing additional demonstrations. I have carefully reviewed your reply, particularly the examples in the attached PDF. While some cases look very good, most of them appear blurry and noisy in the details. I believe the method still has room for improvement. Thank you.

Authorsrebuttal2024-08-11

We sincerely appreciate the valuable feedback. We have carefully considered the concerns raised in W2 regarding the evidence supporting our assumptions, and we hope that our explanations have provided the necessary clarity. Regarding the concerns about qualitative results, as also mentioned by Reviewer 6fVK, we respectfully suggest reviewing our detailed response to Reviewer 6fVK. While we fully acknowledge this concern, we would like to emphasize that our in-the-wild monocular setting dataset is particularly challenging compared to common 4DGS settings. Despite this difficulty, our method still outperforms the existing 4DGS baselines in terms of both qualitative and quantitative results. If you have any further questions or would like additional clarification, please do not hesitate to contact us. We would be more than happy to provide additional information or discuss any aspect of our work in greater detail. Your feedback is deeply appreciated, and we remain fully committed to addressing any concerns you may have.

Authorsrebuttal2024-08-13

We appreciate the feedback regarding the ethical issues. In our research, we used the DyCheck dataset, a publicly available dataset introduced in the paper [1] published at NeurIPS 2022, without any modification. Regarding the ethical issues of the DyCheck dataset itself, we confirmed through the NeurIPS checklist provided in the paper [1] that there were no issues. Since the release of the DyCheck dataset, more and more papers have used it, often for tasks different from our novel view synthesis task, such as scene flow estimation [2] at ICCV 2023, scene editing [3] at CVPR 2024, and surface reconstruction [4] at CVPR 2024. Both ICCV 2023 and CVPR 2024 adhered to similar data ethics guidelines [5, 6] and these papers were published without any ethical issues. Therefore, we believe there are no ethical issues in our research as well, since we used the public dataset without any modifications. [1] A reality check: monocular dynamic view synthesis. NeurIPS 2022 [2] Semantic Attention Flow Fields for Monocular Dynamic Scene Decomposition. ICCV 2023 [3] Instruct 4D-to-4D: Editing 4D Scenes as Pseudo-3D Scenes Using 2D Diffusion. CVPR 2024 [4] MorpheuS: Neural Dynamic 360 Surface Reconstruction from Monocular RGB-D Video. CVPR 2024 [5] ICCV 2023 ethics guideline: https://iccv2023.thecvf.com/ethics.guidelines-362600-2-25-26.php [6] CVPR 2024 ethics guideline: https://cvpr.thecvf.com/Conferences/2024/EthicsGuidelines

Authorsrebuttal2024-08-13

Thank you sincerely for the valuable feedback regarding the ethical issues. The DyCheck dataset is a publicly available dataset introduced in the paper [1] published at NeurIPS 2022. For further clarification, please refer to our response to Reviewer MtiW. [1] A reality check: monocular dynamic view synthesis. NuerIPS 2022

Authorsrebuttal2024-08-14

We deeply appreciate the insightful reviews and discussions throughout the review period. We will revise our paper to incorporate your valuable feedback. Regarding the reviews, we appreciate that most reviewers gave positive feedback on our work. Below, we summarize the reviews, our responses, and the discussions. In our research, we have addressed an emerging and challenging problem of 4D-Gaussian splatting (4DGS), especially in in-the-wild settings. By proposing a novel training scheme including dynamic region densification and uncertainty-aware regularization techniques, we have improved both the qualitative and quantitative performance of existing baselines, as highlighted by Reviewer 6fVK. As our paper addresses this emerging problem, we believe it offers valuable insights and directions that will make a meaningful contribution to the field. Upon request by reviewer LdSG, we further investigated the compatibility and generality of our method. To verify compatibility, we integrated our approach with an existing 4DGS baseline, Deformable-3DGS, and demonstrated performance improvements. To demonstrate generality, we further tested our method on an easier dataset compared to our target dataset in the main paper. The results show that our proposed training scheme performs well in both challenging and easier settings, confirming its broad applicability without losing generality. Reviewer fqxz raised a concern regarding the lack of verification and evidence of our claims. For verification of our uncertainty modeling strategy, we utilized the AUSE (Area Under the Sparsification Error) evaluation protocol to test our modeling strategy. The AUSE results indicate that our uncertainty quantification strategy performs more effectively in sparse settings compared to a recent uncertainty quantification technique. For evidence of dynamic region densification, we first thoroughly explained the principles of densification in Gaussian splatting. We then provided supporting evidence by analyzing xy-directional gradients during training iterations and studying the correlation between inference speed and the number of Gaussians. Our findings reveal that without dynamic region densification, over-densification occurs, which negatively impacts inference speed. Reviewer 6fVK acknowledged the contributions of our work with a positive rating, yet both reviewers 6fVK and fqxz have raised concerns regarding the qualitative results. As previously mentioned, our paper addresses an emerging and challenging problem, offering valuable insights and directions for the field. Despite the inherent difficulty of the task, our method demonstrates superior performance compared to existing approaches, including Deformable-3DGS, 4DGS, and Spacetime, as illustrated in both the main paper and the supplementary pdf file. We also clarified some parts needing further explanation, as suggested by all reviewers, including caching strategy, the impact of the proposed components, and limitations. We believe we have carefully addressed all concerns raised by the reviewers and hope our explanations provide the necessary clarity. Thank you for your time and feedback.

Program Chairsdecision2024-09-25

Decision

Accept (poster)

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