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Neural Visibility Field for Uncertainty-Driven Active Mapping
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Proposes Neural Visibility Field (NVF), a NeRF uncertainty method that uses a Bayesian network over volume rendering and a learned visibility head so unobserved regions get high uncertainty, applied to next-best-view active mapping.
Problem
Quantifying NeRF uncertainty for active mapping in a principled way, especially for regions never visible in training views, where existing proxies (density, position-based color variance) fail to account for visibility.
Approach
Model volume rendering as a Bayesian network so that position-based color and occlusion uncertainty composite into a ray-level Gaussian mixture; add a learned visibility field so invisible points receive a prior color distribution, and pick next views by maximizing GMM entropy.
Key results
- On the Room scene NVF reaches 22.83 PSNR and 0.943 SSIM versus 15.19 PSNR for the best baseline (AIR).
- On the Hubble scene NVF reaches 27.99 PSNR and visual coverage 0.681 versus 24.63 PSNR and 0.586 for AIR.
- Ablation on active mapping shows removing the visibility term drops PSNR from 24.42 to 21.11 and visual coverage from 0.546 to 0.382.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use NVF instead of ActiveRMAP | Active mapping with Instant-NGP · NeRF Assets (Avg.) | PSNR: 20.03 -> 23.90 | Helped |
| Use NVF instead of NeurAR | Active mapping with Instant-NGP · Hubble | PSNR: 25.19 -> 27.99 | Helped |
| Use NVF instead of AIR | Active mapping with Instant-NGP · Room | PSNR: 15.19 -> 22.83 | Helped |
| Add the visibility factor (ablation) | NVF active mapping · All scenes (average) | PSNR: 21.11 -> 24.42 | Helped |
| Add spatial color variance estimation (ablation) | NVF active mapping · All scenes (average) | PSNR: 23.77 -> 24.42 | Helped |
| Add the ray-correlation correction (ablation) | NVF active mapping · All scenes (average) | PSNR: 20.32 -> 24.42 | Helped |
| Use a tighter entropy upper bound (ablation) | NVF active mapping · All scenes (average) | PSNR: 22.54 -> 24.42 | Helped |
Surprising findings
- Several baselines (ActiveNeRF, NeurAR) assign similar or even lower uncertainty to unobserved regions than observed ones in complex scenes.
- Removing the NeRF-predicted color variance has a comparatively small effect, while removing visibility causes the largest drop.
Limitations
- Active mapping pipeline does not account for trajectory constraints or path cost.
- Requires assumed coarse bounding box of the region of interest and a fixed candidate sampling without constraints.
Experimental setup
Datasets: NeRF synthetic dataset Hubble Space Telescope scene (Blender) custom Room scene (Blender)
Benchmarks: NeRF synthetic assets Hubble scene Room scene
Metrics: PSNR SSIM LPIPS RGB loss Accuracy Completion Completion Ratio visual coverage
Baselines: WD ActiveRMAP AIR ActiveNeRF NeurAR Random
Builds on: NeRF Instant-NGP ActiveNeRF ActiveRMAP Active Implicit Reconstruction
Closest papers by meaning
- Bayes' Rays: Uncertainty Quantification for Neural Radiance Fields (CVPR 2024 · similarity 0.89)
- ProvNeRF: Modeling per Point Provenance in NeRFs as a Stochastic Field (NeurIPS 2024 · similarity 0.88)
- NARUTO: Neural Active Reconstruction from Uncertain Target Observations (CVPR 2024 · similarity 0.86)
- Learning Robust Generalizable Radiance Field with Visibility and Feature Augmented Point Representation (ICLR 2024 · similarity 0.86)
- NeRFPrior: Learning Neural Radiance Field as a Prior for Indoor Scene Reconstruction (CVPR 2025 · similarity 0.86)
- NeRF On-the-go: Exploiting Uncertainty for Distractor-free NeRFs in the Wild (CVPR 2024 · similarity 0.85)
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