Measurement Accuracy of Center Location of a Circle by Centroid Method

  • Ryuji Matsuoka
  • Naoki Shirai
  • Kazuyoshi Asonuma
  • Mitsuo Sone
  • Noboru Sudo
  • Hideyo Yokotsuka
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6952)

Abstract

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.

Keywords

analysis measurement accuracy circle center digitization 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Ryuji Matsuoka
    • 1
    • 2
  • Naoki Shirai
    • 1
  • Kazuyoshi Asonuma
    • 1
  • Mitsuo Sone
    • 2
  • Noboru Sudo
    • 2
  • Hideyo Yokotsuka
    • 2
  1. 1.Kokusai Kogyo Co., Ltd.TokyoJapan
  2. 2.Tokai University Research & Information CenterTokyoJapan

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