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. © 2011 Springer-Verlag.
CITATION STYLE
Matsuoka, R., Shirai, N., Asonuma, K., Sone, M., Sudo, N., & Yokotsuka, H. (2011). Measurement accuracy of center location of a circle by centroid method. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6952 LNCS, pp. 297–308). https://doi.org/10.1007/978-3-642-24393-6_25
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