Question

Your company has a manual 2D microscope which can measure the coordinates of 2D profiles. You
have been asked to develop a least square algorithm in either Matlab or Excel to calculate the
centre and radius of circular features.
Describe briefly how measurement uncertainty is evaluated. Given the standard uncertainty of x
and y coordinates is 30 um, calculate the uncertainties associated with the radius and centre
coordinates. Describe how to reduce the measurement uncertainties.
To test your algorithm, you can use the following measurement results, the XY coordinates
recorded for a ring gauge:
84.047
73.303
44.041
4.015
-35.996
-65.250
-75.972
-65.241
-35.979
4.025
5.038
45.008
74.326
85.021
74.319
45.003
5.038
-34.997
-64.263
-74.969
-64.241​

Answer 1

Explanation:

Your company has a manual 2D microscope which can measure the coordinates of 2D profiles. You

have been asked to develop a least square algorithm in either Matlab or Excel to calculate the

centre and radius of circular features.

Describe briefly how measurement uncertainty is evaluated. Given the standard uncertainty of x

and y coordinates is 30 um, calculate the uncertainties associated with the radius and centre

coordinates. Describe how to reduce the measurement uncertainties.

To test your algorithm, you can use the following measurement results, the XY coordinates

recorded for a ring gauge:

84.047

73.303

44.041

4.015

-35.996

-65.250

-75.972

-65.241

-35.979

4.025

5.038

45.008

74.326

85.021

74.319

45.003

5.038

-34.997

-64.263

-74.969

-64.241