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NTR-Gaussian: Nighttime Dynamic Thermal Reconstruction with 4D Gaussian Splatting Based on Thermodynamics

CVPR 2025 · 3D vision › Gaussian splatting · approach: Deformable 4D Gaussian splatting · 7 citations (OpenAlex)

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Proposes NTR-Gaussian, a two-stage 4D Gaussian Splatting method that predicts thermodynamic parameters (emissivity, convective heat transfer coefficient, heat capacity) with networks and integrates a heat-balance ODE to reconstruct nighttime dynamic thermal temperature fields, and releases the NTR aerial TIR dataset.

Problem

Static 3D thermal reconstruction methods capture only a single time period and cannot predict or analyze how scene surface temperature changes over the night.

Approach

Combine 4D Gaussian Splatting with a thermodynamic model: a Temp Net gives per-Gaussian temperature over time, and a Thermal Net predicts emissivity, convective coefficient and heat capacity that drive a differential heat equation whose integral is enforced to match the rendered temperature.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use thermodynamics-based dynamic temperature predictionNTR-Gaussian · S1MAE: 1.106 -> 0.947Helped
Use thermodynamics-based dynamic temperature predictionNTR-Gaussian · S2MAE: 1.766 -> 1.709Helped
Use thermodynamics-based dynamic temperature predictionNTR-Gaussian · S3MAE: 1.276 -> 0.959Helped
Use thermodynamics-based dynamic temperature predictionNTR-Gaussian · S4MAE: 1.432 -> 1.065Helped
Add smoothing loss (ablation)NTR-Gaussian · S1MAE: 1.270 -> 0.947Helped
Add spatial semantic features (ablation)NTR-Gaussian · S1MAE: 1.498 -> 0.947Helped
Use two-stage training instead of single-stage training (ablation)NTR-Gaussian · S1MAE: 1.496 -> 0.947Helped

Surprising findings

Limitations

Experimental setup

Datasets: NTR dataset

Benchmarks: NTR dataset

Metrics: PSNR SSIM MAE (temperature) training time memory FPS

Baselines: 3DGS 4DGS Thermal3D-GS

Builds on: 3D Gaussian Splatting 4D Gaussian Splatting Feature 3DGS

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