Geospatial Engineering

Lidar Vertical RMSE Estimator from Scan Angle, Range, and Range Noise calculator

Lidar Vertical RMSE Estimator from Scan Angle, Range, and Range Noise engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Lidar Vertical RMSE Estimator from Scan Angle, Range, and Range Noise

Calculator

Vertical Positional RMSE (m)
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Result Interpretation

Lidar Vertical RMSE Estimator from Scan Angle, Range, and Range Noise calculator computes Vertical Positional RMSE in m using the defined engineering formula and the input values provided. Vertical Positional RMSE is expressed in m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Slant Range = 50
  • Scan Angle (radians) = 0
  • Range Measurement RMSE = 0.015
  • Angular Measurement RMSE (radians) = 0.0001

Expected Result:

  • Vertical Positional RMSE = 0.015

Engineering Interpretation:

Under the given input conditions, the calculated result is: Vertical Positional RMSE = 0.015 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 positional rmse = sqrt(pow(slant range measurement rmse, 2) * pow(cos(radians), 2) + pow(slant range * sin(radians) * radians, 2))

Formula family: formula_geospatial_lidar_vertical_accuracy_estimator_rmsez_from_scan_geometry_and_range_noise

Variables

SymbolLabelRoleDescription
range Slant Range INPUT Slant Range
scan_angle_rad Scan Angle (radians) INPUT Scan Angle (radians)
range_noise Range Measurement RMSE INPUT Range Measurement RMSE
angular_noise_rad Angular Measurement RMSE (radians) INPUT Angular Measurement RMSE (radians)
vertical_rmse Vertical Positional RMSE OUTPUT Vertical Positional RMSE

Calculation Steps

  1. Enter the slant range in m.
  2. Enter the scan angle (radians) in rad.
  3. Enter the range measurement rmse in m.
  4. Enter the angular measurement rmse (radians) in rad.
  5. Step 1: Compute vertical positional rmse.
  6. Read the vertical positional rmse (m) from the results.

Engineering Summary

Calculate Lidar Vertical RMSE Estimator from Scan Angle, Range, and Range Noise

Frequently Asked Questions

What does this calculator calculate?

The Lidar Vertical RMSE Estimator from Scan Angle, Range, and Range Noise calculator estimates Vertical Positional RMSE based on the input parameters you provide

Why is slant range important in this calculation?

slant range is used directly in the calculation of vertical positional rmse. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter slant range in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result vertical positional rmse?

The calculator outputs vertical positional 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: Slant Range (m), Scan Angle (radians) (rad), Range Measurement RMSE (m), Angular Measurement RMSE (radians) (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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