Sensor Fusion Calibration Protocol (LiDAR/Hyperspectral/XRF)
The Sensor Fusion Calibration Protocol (LiDAR/Hyperspectral/XRF) is a standardized, traceable methodology for spatially, spectrally, and radiometrically aligning and harmonizing data from LiDAR (light detection and ranging), hyperspectral imaging, and X-ray fluorescence (XRF) sensors to enable quantitative, co-registered multi-modal mineral characterization. It ensures geometric congruence, spectral response normalization, and elemental signal calibration across heterogeneous sensing modalities within a common georeferenced coordinate frame. The protocol supports reproducible, uncertainty-quantified fusion for AI-driven orebody modeling and grade control in mining operations.
📖 Overview
📑 Key Components
🎯 Applications
- ✓ AI-powered real-time ore boundary delineation during blasthole logging
- ✓ High-resolution grade control for selective mining units (SMUs)
- ✓ Automated lithological and alteration mapping in drill core scanning systems
📐 Key Formulas
Radiometric Correction (Hyperspectral)
R_{corr}(λ) = \frac{R_{meas}(λ) - R_{dark}(λ)}{R_{panel}(λ) - R_{dark}(λ)} \cdot R_{ref}(λ)
Corrects measured reflectance for dark current and illumination variability using a calibrated reference panel.
XRF Fundamental Parameter Intensity Model
I_i = C_i \cdot \frac{\varepsilon_i(θ) \cdot \omega_i \cdot σ_i(E_0)}{4π} \cdot Φ(E_0) \cdot T(E_i)
Relates measured X-ray line intensity I_i to elemental concentration C_i, incorporating emission probability ε_i, fluorescence yield ω_i, absorption cross-section σ_i, incident photon flux Φ, and transmission factor T.
3D Point Cloud Registration Error (RMSE)
RMSE = \sqrt{\frac{1}{N} \sum_{k=1}^{N} \| \mathbf{p}_k^{LIDAR} - \mathbf{p}_k^{FUSED} \|^2}
Quantifies root-mean-square deviation between LiDAR-derived 3D points and their co-registered fused positions after transformation optimization.