Quick Answer
Calculate Survey-Grade Point Cloud Registration Residual RMS Calculator (Rigid Transformation)
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Find Engineering Solutions →Result Interpretation
Survey-Grade Point Cloud Registration Residual RMS Calculator (Rigid Transformation) calculator computes RMS Residual in m using the defined engineering formula and the input values provided. RMS Residual is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Number of Point Correspondences = 50
- Sum of Squared Euclidean Residuals = 0.01
Expected Result:
- RMS Residual = 0.014142135623731
Engineering Interpretation:
Under the given input conditions, the calculated result is: RMS Residual = 0.014142135623731 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
rms residual = sqrt((1.0 / number of point correspondences) * (sum of squared euclidean residuals))Formula family: formula_survey_point_cloud_registration_residual_rms_calculator_rigid_transformation
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| n_correspondences | Number of Point Correspondences | INPUT | Number of Point Correspondences |
| sum_sq_residuals | Sum of Squared Euclidean Residuals | INPUT | Sum of Squared Euclidean Residuals |
| rms_residual | RMS Residual | OUTPUT | RMS Residual |
Calculation Steps
- Enter the number of point correspondences in 1.
- Enter the sum of squared euclidean residuals in m^2.
- Step 1: Compute rms residual.
- Read the rms residual (m) from the results.
Engineering Summary
Calculate Survey-Grade Point Cloud Registration Residual RMS Calculator (Rigid Transformation)
Frequently Asked Questions
What does this calculator calculate?
The Survey-Grade Point Cloud Registration Residual RMS Calculator (Rigid Transformation) calculator estimates RMS Residual based on the input parameters you provide
Why is sum of squared euclidean residuals important in this calculation?
sum of squared euclidean residuals is directly proportional to rms residual. When you enter sum of squared euclidean residuals in m^2, the calculator uses it in the engineering formula to compute the output
How should I interpret the result rms residual?
The calculator outputs rms residual 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: Sum of Squared Euclidean Residuals (m^2). 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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