Bridging the Time-Space Scale Gap: A Physics-Informed UAV Upscaling Framework for Radiometric Validation of Microsatellite Constellations in Heterogeneous Built Environments
Highlights
- The proposed triple-platform framework using UAV-based block kriging significantly improves radiometric validation accuracy, effectively capturing intra-pixel heterogeneity in complex urban environments.
- Quantitative spatial analysis identifies artificial grass as a highly stable “Urban PICS” candidate, whereas asphalt exhibits excessive spectral noise due to surface aging.
- The physics-informed upscaling technique provides operational flexibility by mitigating validation errors from temporal mismatches (up to 1 day), establishing UAVs as a robust “spatial bridge.”
- This framework sets a rigorous and scalable standard for validating microsatellite constellations, essential for producing reliable analysis-ready data for smart city monitoring.
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area and Experimental Design
2.2. The Triple-Platform Data Acquisition
2.3. Physics-Based Preprocessing: SRF Convolution
2.4. The “Double Calibration” Protocol
2.5. Geostatistical Spatial Upscaling: Block Kriging
2.6. Uncertainty Quantification and Statistical Analysis
3. Results
3.1. Verification of UAV Radiometry
3.2. Identification of “Urban PICS”
3.3. Validation Accuracy Assessment
4. Discussion
4.1. UAVs as Time-Lag Mitigators and Spatial Integrators
4.2. Operational Efficiency and Processing Costs
4.3. The Necessity of Physics-Informed Approaches
4.4. Re-Evaluation of Urban PICS: Asphalt vs. Artificial Grass
4.5. Limitations and Future Directions
5. Conclusions
- Methodological Superiority: Block kriging significantly outperformed traditional point-averaging methods, achieving an R2 of 0.96 in the NIR band and reducing RMSE by over 60% under synchronized conditions. This proves that modeling intra-pixel spatial structure is a necessity for accurate upscaling in built environments.
- Urban PICS Identification: Artificial grass () was identified as a superior radiometric target compared to asphalt (), which suffers from unpredictable spectral noise due to surface aging and heterogeneity.
- Temporal Resilience: The framework acts as a spatial buffer, quantifiably mitigating errors caused by temporal mismatches (e.g., recovering R2 from 0.46 to 0.85 with a 1-day lag), thereby operationalizing validation for cases where strict temporal synchronization is unfeasible.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Band | Sentinel-2 (S2A/B) | RedEdge-MX Dual | ||
|---|---|---|---|---|
| Center Wavelength (nm) | Bandwidth (nm) | Center Wavelength (nm) | Bandwidth (nm) | |
| Blue | 490 | 65 | 475 | 32 |
| Green | 560 | 35 | 560 | 27 |
| Red | 665 | 30 | 668 | 14 |
| Red Edge | 740 | 15 | 740 | 18 |
| NIR | 842 | 115 | 842 | 57 |
| Band | 2025-06-23 (1-Day Lag) | 2025-07-10 (Same Day) | ||||||
|---|---|---|---|---|---|---|---|---|
| Slope | Intercept | R2 | RMSE | Slope | Intercept | R2 | RMSE | |
| Blue | 0.4874 | 0.1139 | 0.859 | 0.052 | 0.5717 | 0.0999 | 0.951 | 0.015 |
| Green | 0.5144 | 0.1287 | 0.848 | 0.051 | 0.6077 | 0.1060 | 0.953 | 0.012 |
| Red | 0.5256 | 0.1445 | 0.925 | 0.073 | 0.6181 | 0.1152 | 0.976 | 0.027 |
| Red Edge | 0.6257 | 0.1599 | 0.899 | 0.096 | 0.7121 | 0.1409 | 0.846 | 0.096 |
| NIR | 0.5417 | 0.1484 | 0.952 | 0.080 | 0.5732 | 0.1381 | 0.959 | 0.029 |
| Surface Type | 6/23 Avg Std Dev (σ) | 6/23 Avg CI 95% (Half-Width) | 7/10 Avg Std Dev (σ) | 7/10 Avg CI 95% (Half-Width) | Suitability Evaluation |
|---|---|---|---|---|---|
| Artificial Grass | 0.0195 | 0.00005 | 0.0204 | 0.00005 | High |
| Natural Grass | 0.0298 | 0.00009 | 0.0295 | 0.00009 | Seasonal Caution |
| Urethane Track | 0.0916 | 0.00028 | 0.0936 | 0.00029 | Moderate |
| Block | 0.0427 | 0.00022 | 0.0469 | 0.00025 | Low |
| Asphalt | 0.0197 | 0.00005 | 0.0236 | 0.00006 | Very Low |
| Band | Range (m) | Sill | Nugget |
|---|---|---|---|
| Blue | 299.28 | 0.0091 | 0 |
| Green | 335.38 | 0.0103 | 0 |
| Red | 116.08 | 0.0108 | 0 |
| Red Edge | 97.96 | 0.0154 | 0 |
| NIR | 300.96 | 0.0278 | 0 |
| Band | Date (Condition) | Upscaling Method | R2 | RMSE | Remarks |
|---|---|---|---|---|---|
| Blue | 6/23 (1-day Lag) | Raw Ground Points | 0.46 | 0.052 | Poor performance due to lag |
| Block Kriging | 0.69 | 0.025 | Correlation Recovery | ||
| 7/10 (Same Day) | Raw Ground Points | 0.68 | 0.041 | ||
| Block Kriging | 0.92 | 0.015 | Optimal Performance | ||
| Green | 6/23 (1-day Lag) | Raw Ground Points | 0.43 | 0.051 | |
| Block Kriging | 0.72 | 0.022 | |||
| 7/10 (Same Day) | Raw Ground Points | 0.61 | 0.043 | ||
| Block Kriging | 0.94 | 0.012 | High Precision | ||
| Red | 6/23 (1-day Lag) | Raw Ground Points | 0.40 | 0.073 | High error occurrence |
| Block Kriging | 0.67 | 0.045 | |||
| 7/10 (Same Day) | Raw Ground Points | 0.61 | 0.059 | ||
| Block Kriging | 0.90 | 0.027 | Significant Error Reduction | ||
| Red Edge | 6/23 (1-day Lag) | Raw Ground Points | 0.35 | 0.096 | Lowest raw correlation |
| Block Kriging | 0.55 | 0.063 | |||
| 7/10 (Same Day) | Raw Ground Points | 0.40 | 0.096 | ||
| Block Kriging | 0.54 | 0.071 | Error Reduction | ||
| NIR | 6/23 (1-day Lag) | Raw Ground Points | 0.46 | 0.080 | |
| Block Kriging | 0.85 | 0.039 | Major Improvement | ||
| 7/10 (Same Day) | Raw Ground Points | 0.66 | 0.072 | ||
| Block Kriging | 0.96 | 0.029 | Best Performance |
| Band | 1-Day Lag (6/23) | Synchronized (7/10) | RMSE Reduction (%) | ||
|---|---|---|---|---|---|
| R2 | RMSE | R2 | RMSE | ||
| Blue | 0.69 | 0.025 | 0.92 | 0.015 | 63% |
| Green | 0.72 | 0.022 | 0.94 | 0.012 | 72% |
| Red | 0.67 | 0.045 | 0.90 | 0.027 | 54% |
| Red Edge | 0.55 | 0.063 | 0.54 | 0.071 | 34% |
| NIR | 0.85 | 0.039 | 0.96 | 0.029 | 51% |
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Go, S.-H.; Lee, D.-H.; Jo, W.-K.; Park, J.-H. Bridging the Time-Space Scale Gap: A Physics-Informed UAV Upscaling Framework for Radiometric Validation of Microsatellite Constellations in Heterogeneous Built Environments. Drones 2026, 10, 99. https://doi.org/10.3390/drones10020099
Go S-H, Lee D-H, Jo W-K, Park J-H. Bridging the Time-Space Scale Gap: A Physics-Informed UAV Upscaling Framework for Radiometric Validation of Microsatellite Constellations in Heterogeneous Built Environments. Drones. 2026; 10(2):99. https://doi.org/10.3390/drones10020099
Chicago/Turabian StyleGo, Seung-Hwan, Dong-Ho Lee, Won-Ki Jo, and Jong-Hwa Park. 2026. "Bridging the Time-Space Scale Gap: A Physics-Informed UAV Upscaling Framework for Radiometric Validation of Microsatellite Constellations in Heterogeneous Built Environments" Drones 10, no. 2: 99. https://doi.org/10.3390/drones10020099
APA StyleGo, S.-H., Lee, D.-H., Jo, W.-K., & Park, J.-H. (2026). Bridging the Time-Space Scale Gap: A Physics-Informed UAV Upscaling Framework for Radiometric Validation of Microsatellite Constellations in Heterogeneous Built Environments. Drones, 10(2), 99. https://doi.org/10.3390/drones10020099

