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Research map / 3D vision / NeRF and radiance fields

Neural Visibility Field for Uncertainty-Driven Active Mapping

CVPR 2024 · 3D vision › NeRF and radiance fields · approach: Sparse-input NeRF regularization · 11 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use NVF instead of ActiveRMAPActive mapping with Instant-NGP · NeRF Assets (Avg.)PSNR: 20.03 -> 23.90Helped
Use NVF instead of NeurARActive mapping with Instant-NGP · HubblePSNR: 25.19 -> 27.99Helped
Use NVF instead of AIRActive mapping with Instant-NGP · RoomPSNR: 15.19 -> 22.83Helped
Add the visibility factor (ablation)NVF active mapping · All scenes (average)PSNR: 21.11 -> 24.42Helped
Add spatial color variance estimation (ablation)NVF active mapping · All scenes (average)PSNR: 23.77 -> 24.42Helped
Add the ray-correlation correction (ablation)NVF active mapping · All scenes (average)PSNR: 20.32 -> 24.42Helped
Use a tighter entropy upper bound (ablation)NVF active mapping · All scenes (average)PSNR: 22.54 -> 24.42Helped

Surprising findings

Limitations

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

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