Northern Digital Polaris Vicra User Manual page 98

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Polaris Vicra Calibration Performance and Methodology
The accuracy of the Polaris Vicra System is calculated as the RMS variation of the mean of m
readings about the true 3D location calculated across all n locations throughout the measurement
volume.
The repeatability of the Polaris Vicra System is calculated as the RMS variation of the m readings
about the average of the 3D readings at each location n. This RMS variation is calculated across all
n locations throughout the measurement volume.
3D average measurements:
x
i average
3D RMS accuracy
3D RMS
repeatability =
86
m
x
,
i j
j
=
1
=
----------------------------- ,
y
i average
m
n
(
x
i
average
i
=
1
=
----------------------------------------------------------------------------------------------------------------------------------------------- -
n
m
(
x
,
i j
i
=
1
j
=
1
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -
m
y
,
i j
j
=
1
=
----------------------------- ,
m
2
)
(
X
+
y
i
i
average
n
2
)
(
x
+
y
y
,
i
i j
average
n m
m
z
j
=
1
---------------------------- -
z
=
i average
m
2
2
)
(
)
Y
+
z
Z
i
i
i
average
2
)
(
+
z
z
,
i
i j
i average
average
Polaris Vicra User Guide - Revision 2
,
i j
2
)

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