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NTR-Gaussian: Nighttime Dynamic Thermal Reconstruction with 4D Gaussian Splatting Based on Thermodynamics
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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
- NTR-Gaussian achieves average PSNR 34.61, SSIM 0.964 and MAE 1.065 across the four scenes, outperforming 3DGS, 4DGS and Thermal3D-GS.
- Predicted temperature error is within 1 degree Celsius according to the paper.
- Ablation on S1 shows removing the smoothing loss, spatial semantic features, or two-stage training lowers PSNR and raises MAE (e.g., full model MAE 0.947 vs 1.270 without smoothing loss).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use thermodynamics-based dynamic temperature prediction | NTR-Gaussian · S1 | MAE: 1.106 -> 0.947 | Helped |
| Use thermodynamics-based dynamic temperature prediction | NTR-Gaussian · S2 | MAE: 1.766 -> 1.709 | Helped |
| Use thermodynamics-based dynamic temperature prediction | NTR-Gaussian · S3 | MAE: 1.276 -> 0.959 | Helped |
| Use thermodynamics-based dynamic temperature prediction | NTR-Gaussian · S4 | MAE: 1.432 -> 1.065 | Helped |
| Add smoothing loss (ablation) | NTR-Gaussian · S1 | MAE: 1.270 -> 0.947 | Helped |
| Add spatial semantic features (ablation) | NTR-Gaussian · S1 | MAE: 1.498 -> 0.947 | Helped |
| Use two-stage training instead of single-stage training (ablation) | NTR-Gaussian · S1 | MAE: 1.496 -> 0.947 | Helped |
Surprising findings
- Training takes about 33402 s and 334 GB memory, far more than baselines (e.g., 3DGS 333 s, 8.4 GB).
Limitations
- Requires individualized optimization per scene and generalizes poorly across scenes and seasons.
- Does not model environmental factors such as humidity and wind speed.
- High training time and memory cost.
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
Closest papers by meaning
- ThermalGaussian: Thermal 3D Gaussian Splatting (ICLR 2025 · similarity 0.87)
- Event-3DGS: Event-based 3D Reconstruction Using 3D Gaussian Splatting (NeurIPS 2024 · similarity 0.83)
- A Theory of Joint Light and Heat Transport for Lambertian Scenes (CVPR 2024 · similarity 0.83)
- Gaussian Splatting for Efficient Satellite Image Photogrammetry (CVPR 2025 · similarity 0.83)
- DEAL: Data-Efficient Adversarial Learning for High-Quality Infrared Imaging (CVPR 2025 · similarity 0.82)
- COLMAP-Free 3D Gaussian Splatting (CVPR 2024 · similarity 0.82)
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