Quick Answer
Calculate Lidar Vertical RMSE Estimator from Scan Geometry and Range Noise
Calculator
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Find Engineering Solutions →Result Interpretation
Lidar Vertical RMSE Estimator from Scan Geometry and Range Noise calculator computes Vertical RMSE in m using the defined engineering formula and the input values provided. Vertical RMSE is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Range Measurement Standard Deviation = 0.01
- Scan Incidence Angle = 0
- Laser Beam Divergence Half-Angle = 0.0003
Expected Result:
- Vertical RMSE = 0.01
Engineering Interpretation:
Under the given input conditions, the calculated result is: Vertical RMSE = 0.01 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
vertical rmse = sqrt(pow(range measurement standard deviation, 2) * pow(cos(scan incidence angle), 2) + pow(range measurement standard deviation * sin(scan incidence angle) * tan(laser beam divergence half-angle), 2))Formula family: formula_geospatial_lidar_vertical_rmse_estimator_from_scan_geometry_and_range_noise
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| range_noise | Range Measurement Standard Deviation | INPUT | Range Measurement Standard Deviation |
| scan_angle_rad | Scan Incidence Angle | INPUT | Scan Incidence Angle |
| beam_divergence_rad | Laser Beam Divergence Half-Angle | INPUT | Laser Beam Divergence Half-Angle |
| vertical_rmse | Vertical RMSE | OUTPUT | Vertical RMSE |
Calculation Steps
- Enter the range measurement standard deviation in m.
- Enter the scan incidence angle in rad.
- Enter the laser beam divergence half-angle in rad.
- Step 1: Compute vertical rmse.
- Read the vertical rmse (m) from the results.
Engineering Summary
Calculate Lidar Vertical RMSE Estimator from Scan Geometry and Range Noise
Frequently Asked Questions
What does this calculator calculate?
The Lidar Vertical RMSE Estimator from Scan Geometry and Range Noise calculator estimates Vertical RMSE based on the input parameters you provide
Why is range measurement standard deviation important in this calculation?
range measurement standard deviation is used directly in the calculation of vertical rmse. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter range measurement standard deviation in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result vertical rmse?
The calculator outputs vertical rmse in m. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Range Measurement Standard Deviation (m), Scan Incidence Angle (rad), Laser Beam Divergence Half-Angle (rad). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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