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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Measurement Accuracy of Center Location of a Circle by Centroid Method
verfasst von : Ryuji Matsuoka, Naoki Shirai, Kazuyoshi Asonuma, Mitsuo Sone, Noboru Sudo, Hideyo Yokotsuka
Erschienen in: Photogrammetric Image Analysis
Verlag: Springer Berlin Heidelberg
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This paper reports an investigation of the effect of digitization on the measurement accuracy of the center location of a circle by a centroid method. Although general expressions representing the measurement accuracy of the center location of a circle by the centroid method are unable to be obtained analytically, we have succeeded in obtaining the variances
V
of measurement errors for 39 quantization bits
n
ranging from one to infinity by numerical integration. We have succeeded in obtaining the effective approximation formulae of
V
as a function of the diameter
d
of the circle for any
n
as well. The results show that
V
would oscillate on an approximate one-pixel cycle in
d
for any
n
and decrease as
n
increases. The differences of
V
among the different
n
would be negligible when
n
≥ 6 . Some behaviors of
V
with an increase in
n
are demonstrated.