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Flow-NeRF: Joint Learning of Geometry, Poses, and Dense Flow within Unified Neural Representations
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Flow-NeRF jointly learns scene geometry, camera poses, and dense optical flow in one unposed NeRF, using a pose-conditioned bijective (RealNVP) flow branch and feature message passing to improve novel-view synthesis and depth.
Problem
Pose-free neural radiance field reconstruction suffers from geometric ambiguity and lacks long-range cross-frame consistency; flow is typically used only as a pose regularizer and novel-view dense flow is not inferred.
Approach
Two branches (geometry and flow) share sampled points and a canonical space; a RealNVP bijective mapping conditioned on learnable camera pose predicts dense flow for novel views, and canonical-space features are concatenated into the geometry MLP to enhance it.
Key results
- Ballroom novel-view PSNR rises to 28.83 with flow enhancement versus 24.85 without and 25.33 for Nope-NeRF.
- On Sintel at frame interval 16, average EPE of 1.683 versus RAFT's 2.089.
- ScanNet depth Abs Rel of 0.047 versus 0.141 for Nope-NeRF; mean ScanNet novel-view PSNR 32.55 vs 31.86 for Nope-NeRF.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| jointly learn scene geometry, camera poses, and dense flow with Flow-NeRF | pose-free NeRF · ScanNet | PSNR: 31.86 -> 32.55 | Helped |
| jointly learn scene geometry, camera poses, and dense flow with Flow-NeRF | pose-free NeRF · Tanks and Temples | PSNR: 26.34 -> 28.73 | Helped |
| jointly learn scene geometry, camera poses, and dense flow with Flow-NeRF | pose-free NeRF · ScanNet | Abs Rel: 0.141 -> 0.047 | Helped |
| jointly learn scene geometry, camera poses, and dense flow with Flow-NeRF | pose-free NeRF · Sintel mountain1, frame interval 16 | EPE: 2.089 -> 1.683 | Helped |
| add flow feature message passing (ablation) | Flow-NeRF · Ballroom | PSNR: 24.85 -> 28.83 | Helped |
| add flow feature message passing (ablation) | Flow-NeRF · ScanNet 0418 00 | Abs Rel: 0.200 -> 0.034 | Helped |
| use perspective projection instead of orthogonal projection for flow-branch point sampling (ablation) | Flow-NeRF with flow enhancement · ScanNet 0418 00 | Abs Rel: 0.047 -> 0.034 | Helped |
Surprising findings
- Flow enhancement without perspective projection (orthogonal sampling) yields weaker depth than perspective back-projection, showing sampling geometry matters for flow-to-geometry transfer.
Limitations
- Assumes scenes are nearly static so flow is induced only by camera motion.
- Flow supervision relies on RAFT pseudo flow, so accuracy is bounded by the teacher in training.
Experimental setup
Datasets: Tanks and Temples ScanNet Sintel
Benchmarks: Tanks and Temples ScanNet Sintel
Metrics: PSNR SSIM LPIPS ATE RPEt RPEr Abs Rel Sq Rel RMSE EPE
Baselines: BARF NeRFmm SC-NeRF Nope-NeRF RAFT Omnimotion
Builds on: NeRF Omnimotion Nope-NeRF RealNVP RAFT
Closest papers by meaning
- Bidirectional Optical Flow NeRF: High Accuracy and High Quality under Fewer Views (AAAI 2023 · similarity 0.92)
- Joint Optimization of Neural Radiance Fields and Continuous Camera Motion from a Monocular Video (CVPR 2025 · similarity 0.89)
- Zero-Shot Monocular Scene Flow Estimation in the Wild (CVPR 2025 · similarity 0.88)
- E-MoFlow: Learning Egomotion and Optical Flow from Event Data via Implicit Regularization (NeurIPS 2025 · similarity 0.87)
- DeltaFlow: An Efficient Multi-frame Scene Flow Estimation Method (NeurIPS 2025 · similarity 0.87)
- CF-NeRF: Camera Parameter Free Neural Radiance Fields with Incremental Learning (AAAI 2024 · similarity 0.87)
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