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Neural Radiance Flow for 4D View Synthesis and Video Processing

Yilun Du, Yinan Zhang, Hong-Xing Yu, Joshua B. Tenenbaum, Jiajun Wu

arXiv:2012.09790v2cs.CVcs.LGcs.RO

TL;DR

Dynamic-scene view synthesis must handle changing appearance, sparse observations, complex motion, and occlusion. NeRFlow learns a continuous spatial-temporal neural representation with radiance and flow fields, enforcing temporal consistency to synthesize views across space and time. It performs strongly across dynamic scenes, works with as few as one camera, and supports video denoising and super-resolution without additional supervision.

  • Problem

    Existing scene representations often assume static scenes or many camera views, while dynamic scenes require modeling complex motion from sparse observations.

  • Method

    NeRFlow jointly learns 6D radiance and 4D flow functions, using consistency constraints over appearance, density, and motion to aggregate observations across time.

  • Results

    NeRFlow enables 4D view synthesis with as few as one camera, outperforms baselines across reported metrics on Pouring and Gibson, and supports unsupervised video denoising and super-resolution.

  • Takeaways & Limitations

    The learned spatial-temporal representation functions as an implicit scene prior for dynamic-scene rendering and video processing from limited visual observations.

  • Takeaways & Limitations

    The approach does not explicitly resolve ambiguities in 3D geometry and dynamic regions, making complex real scenes and static-background preservation difficult.

Abstract

from arXiv · show

We present a method, Neural Radiance Flow (NeRFlow),to learn a 4D spatial-temporal representation of a dynamic scene from a set of RGB images. Key to our approach is the use of a neural implicit representation that learns to capture the 3D occupancy, radiance, and dynamics of the scene. By enforcing consistency across different modalities, our representation enables multi-view rendering in diverse dynamic scenes, including water pouring, robotic interaction, and real images, outperforming state-of-the-art methods for spatial-temporal view synthesis. Our approach works even when inputs images are captured with only one camera. We further demonstrate that the learned representation can serve as an implicit scene prior, enabling video processing tasks such as image super-resolution and de-noising without any additional supervision.

Yilun Du MIT CSAIL

The paper lists Joshua B. Tenenbaum as affiliated with MIT CSAIL, BCS, and CBMM.

  • Joshua B. Tenenbaum is affiliated with MIT CSAIL, BCS, and CBMM.

1. Introduction

NeRFlow learns a dynamic spatial-temporal scene representation for photorealistic view synthesis from sparse, potentially monocular observations. It jointly models appearance, density, geometry, and motion to support complex 4D scenes.

  • Dynamic scene representations must capture lighting, physics, and 3D structure as appearance changes across time and viewpoint.
  • Existing scene representations often assume static scenes and many camera views, while traditional motion-capture systems struggle with complex occlusions and fine motion details.
  • NeRFlow aggregates partial observations and achieves high-quality 4D view synthesis across fluid, robotic, transparent-object, and human-motion scenes, outperforming a recent state-of-the-art method.
  • The model jointly learns a 6D radiance function for appearance and density and a 4D flow function for scene dynamics.The flow provides temporal correspondences, while radiance-derived geometry informs motion estimation.
  • NeRFlow learns an implicit spatial-temporal representation that enables novel-view synthesis across both space and time, using observations from as few as one camera.
  • The work introduces temporal consistency constraints over scene appearance, density, and motion to operate effectively with limited observations.

2. Related Works

Related work established neural implicit scene representations and differentiable rendering for image-based 3D reconstruction, but largely focused on static scenes. NeRFlow extends this direction to sparse dynamic observations and video processing.

  • Neural continuous implicit fields address discretization and resolution limitations of voxel grids, point clouds, and meshes.
  • Differentiable rendering connects posed 2D images with underlying 3D scene representations, including neural radiance fields learned from calibrated images.
  • Prior neural rendering works considered static scenes, leaving spatial-temporal representation learning for dynamic scenes as an open direction.
  • NeRFlow targets realistic dynamic-event capture with only a few moving cameras rather than assuming many views at every timestep.
  • The authors frame the method as a dynamic implicit scene prior and validate it on noisy and low-resolution observations.
  • Learned radiance fields can transform low-resolution or noisy inputs into high-resolution or non-noisy rendered images for video processing.

3. Neural Radiance Flow (NeRFlow)

NeRFlow learns a coherent dynamic scene representation by jointly modeling radiance and motion with temporally consistent neural fields. The learned fields aggregate sparse observations across time for 4D view synthesis and support image-based supervision and video processing.

  • Radiance and flow fields: NeRFlow jointly represents scene appearance, density, and motion using a neural radiance field and a flow field.The radiance field models appearance and density, while the flow field models scene dynamics; consistency losses connect them during learning.
  • Radiance and flow fields: The radiance field maps 3D position, time, and viewing direction to emitted color and density, while the flow field maps spatio-temporal position to instantaneous motion.The flow integrates over time to derive future point positions.
  • Temporally coherent learning: Temporal consistency losses propagate appearance, density, and motion information across timestamps, enabling coherent representations from limited observations.Appearance consistency compares diffuse color across flow-predicted correspondences, while density consistency preserves object solidity during motion.
  • Evaluation and applications: During testing, only the radiance field is used to synthesize novel images, while the model is evaluated on complex dynamic scenes and video denoising and super-resolution.The reported settings include fluid pouring, robotic motion, transparent real scenes, and monocular human-motion videos.
  • Temporally coherent learning: Motion consistency constrains low-density regions to have low flow and encourages smooth flow across space and time.These constraints encode the assumptions that empty space is static and natural objects move smoothly.
  • Learning from visual observation: Training uses volumetric rendering of posed RGB images, optical-flow-derived 3D correspondences, and a combined loss over rendering, correspondence, appearance, density, and motion.The radiance field is warmed up with rendering loss before the full objective is applied.

4. Experiments

Experiments evaluate NeRFlow across synthetic and real dynamic scenes, camera-view and timestamp sparsity, depth and flow estimation, and video denoising and super-resolution. Across these settings, consistency supports temporal interpolation, limited-view synthesis, depth estimation, and realistic video processing.

  • Experimental scope: NeRFlow is evaluated on Pouring, Gibson, and real-image datasets using multi-view rendering, depth and flow estimation, denoising, and super-resolution.The experiments include synthetic fluid dynamics, robot motion with occlusion, transparent real scenes, and monocular videos.
  • 4D View Synthesis: NeRFlow outperforms baselines in all metrics on Full View Pouring and Gibson experiments, capturing fluid splatter dynamics and robot motion under occlusion.The Full View results are reported in Tables 1 and 2.
  • 4D View Synthesis: In Stereo Views and Dual Views, NeRFlow again outperforms all baselines while integrating radiance information captured across different timestamps.These settings use two moving cameras with nearby or diametrically opposite viewpoints.
  • 4D View Synthesis: With sparse timestamps, NeRFlow renders arbitrary intermediate timestamps because consistency constrains radiance fields to change smoothly over time.Training uses one of every ten timestamps on Pouring and one of every five on Gibson.
  • 4D View Synthesis: On real images, NeRFlow captures transparency and lighting effects that X-Fields struggles to represent, and delivers better results across monocular 4D synthesis cases.The real-image evaluation includes Ice, Vase, and monocular videos; Figure 7 tests unseen view-timestamp combinations.
  • Analysis and Visualization: Consistency improves depth estimates, especially with limited cameras, while learned flow captures liquid and cup motion in the Pouring scene.The analysis compares depth MSE with and without consistency losses and examines static-versus-dynamic separation.

5. Discussion

NeRFlow learns a spatial-temporal representation for 4D view synthesis from limited cameras and supports video de-noising and super-resolution. Its main limitations are unresolved geometry and dynamic-region ambiguities, especially in complex real scenes and static-background preservation.

  • NeRFlow supports 4D view synthesis from limited cameras, including monocular videos, across multiple datasets.
  • The learned representation also serves as a scene prior for video de-noising and super-resolution without additional supervision.
  • Limitations: Unresolved ambiguities in 3D geometry and dynamic regions make complex real scenes difficult to model and static backgrounds difficult to preserve over time.
  • Limitations: The authors suggest separating static backgrounds from dynamic foregrounds and using dense depth maps to address these ambiguities.

Appendix: Neural Radiance Flow for 4D View Synthesis and Video Processing

The appendix supplements the paper with qualitative visualizations, training details, and pseudocode for NeRFlow’s overall algorithm.

  • Section A provides additional qualitative visualizations on real and synthetic images.
  • Section B describes training details for the method.
  • The appendix provides pseudocode for the overall algorithm and recommends attached videos for qualitative visualizations.

A. Additional Visualizations

Additional visualizations show NeRFlow’s qualitative behavior across real-image synthesis, depth prediction, temporal interpolation, pouring, ablations, and video processing. The results emphasize sharper, more coherent, temporally stable, and structurally faithful renderings under the reported settings.

  • Real Image View Synthesis: Compared with NonRigid NeRF, NeRFlow produces sharper renderings and captures dynamics more accurately in real-image view synthesis.
  • Real Depth Maps: NeRFlow reliably infers depth across a variety of real images.
  • Image Interpolations: With consistency and training on 1 in 5 frames, NeRFlow consistently models liquid-drop volume across all rendered frames.
  • Full View Synthesis: Compared with X-Fields, NeRFlow generates more coherent animations of pouring in the Full View setting.
  • Ablation Visualizations: Removing consistency terms or motion consistency harms bowl structure, while removing dynamic modeling blurs cup motion across renderings.
  • Ablation Visualizations: NeRFlow produces non-blurry renderings that capture the underlying bowl structure and supports view synthesis across monocular, stereo, and dual-camera configurations.
  • Supplemental Visualizations: The supplemental video also demonstrates NeRFlow applied to video de-noising.

B. Additional Experimental Details

The appendix specifies NeRFlow’s training setup, numerical flow-integration settings, and training-and-rendering algorithm. Models use staged optimization with rendering-only pretraining followed by all losses.

  • Training Setup: Models use PyTorch, share the base architecture from [42] for radiance and flow, and train for 20 hours on one Nvidia 2080 Ti GPU.Training uses 10 hours with LRender followed by 10 hours with all losses.
  • Training Setup: Training uses learning rate 0.001, Adam optimization, and exponential decay by 0.1 every 40,000 steps.
  • Flow Integration: Flow integration uses Neural ODE with a Runga-Kutta solver, RTOL = 10^-4, and ATOL = 10^-5 for stable inference and smooth flow fields.
  • Training and Sampling Algorithm: Algorithm 1 trains radiance and flow functions using rendering, flow, density, and RGB consistency losses before volumetrically rendering from a chosen viewpoint and timestamp.
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