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I2-NeRF: Learning Neural Radiance Fields Under Physically-Grounded Media Interactions

NeurIPS 2025 · 3D vision › NeRF and radiance fields · approach: Sparse-input NeRF regularization · 1 citations (OpenAlex)

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Proposes I²-NeRF, a physically grounded NeRF for media degradation (underwater, haze, low-light) with reverse-stratified upsampling for near-uniform medium sampling and a Beer–Lambert radiative formulation with vertical downwelling attenuation.

Problem

Standard NeRF assumes clear air and object-centric sampling, which under-samples the participating medium and ignores vertical/horizontal physical attenuation, hurting reconstruction and metric plausibility under media degradation.

Approach

A reverse-stratified upsampling (RSU) strategy that places extra samples in low-density media regions, plus a unified matting-style radiative model (direct + backscatter with Beer–Lambert attenuation) that models downwelling attenuation so the formulation is isotropic across vertical and horizontal directions.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use I2-NeRF instead of SeaThru-NeRFSeaThru-NeRF Hazy Fern · SeaThru-NeRF Hazy FernPSNR: 30.75 -> 30.59Hurt
Use I2-NeRF instead of WatersplattingSeaThru-NeRF Curaçao · SeaThru-NeRF CuraçaoPSNR: 32.20 -> 32.70Helped
Use I2-NeRF instead of WatersplattingSeaThru-NeRF IUI3 Red Sea · SeaThru-NeRF IUI3 Red SeaPSNR: 29.84 -> 27.33Hurt
Use I2-NeRF instead of Proposed-TSeaThru-NeRF J.G. Red Sea · SeaThru-NeRF J.G. Red SeaPSNR: 25.81 -> 24.11Hurt
Use I2-NeRF instead of WatersplattingSeaThru-NeRF Panama · SeaThru-NeRF PanamaPSNR: 31.62 -> 31.55Hurt
Use I2-NeRF instead of LITA-GSLOM low-light restoration · LOM sofaPSNR: 20.43 -> 25.89Helped
Add media upsampling (ablation)I2-NeRF on LOM bike · LOM bikePSNR: 20.92 -> 22.87Helped
Add geometry loss (ablation)I2-NeRF on LOM bike · LOM bikePSNR: 20.66 -> 22.87Helped
Add compensated similarity loss (ablation)I2-NeRF on LOM bike · LOM bikePSNR: 6.55 -> 22.87Helped
Add mutual exclusion loss (ablation)I2-NeRF on LOM bike · LOM bikePSNR: 22.71 -> 22.87Helped
Add transmittance loss (ablation)I2-NeRF on LOM bike · LOM bikePSNR: 21.87 -> 22.87Helped
Use nonconstant media field (ablation)I2-NeRF on Okinawa underwater scene · Okinawa underwater scenePSNR: 31.25 -> 33.97Helped

Surprising findings

Limitations

Experimental setup

Datasets: SeaThru-NeRF LOM

Benchmarks: SeaThru-NeRF LOM

Metrics: PSNR SSIM LPIPS

Baselines: Mip-NeRF 360 Zip-NeRF 3DGS SeaThru-NeRF Proposed-T Watersplatting Aleth-NeRF Luminance-GS LITA-GS SCI+NeRF IAT+NeRF SCI+GS

Builds on: NeRF Zip-NeRF RawNeRF Revised Underwater Image Formation model Bright Channel Prior

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