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 nāā„ā6 . Some behaviors of V with an increase in n are demonstrated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bose, C.B., Amir, I.: Design of Fiducials for Accurate Registration Using Machine Vision. IEEE Transactions on Pattern Analysis and Machine IntelligenceĀ 12(12), 1196ā1200 (1990)
Luhmann, T., Robson, S., Kyle, S., Harley, I.: Close Range Photogrammetry, pp. 183ā190. Whittles Publishing, Caithness (2006)
Matsuoka, R., Sone, M., Sudo, N., Yokotsuka, H., Shirai, N.: Comparison of Measuring Methods of Circular Target Location. Journal of the Japan Society of Photogrammetry and Remote SensingĀ 48(3), 154ā170 (2009)
Matsuoka, R., Sone, M., Sudo, N., Yokotsuka, H., Shirai, N.: Effect of Sampling in Creating a Digital Image on Measurement Accuracy of Center Location of A Circle. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information SciencesĀ XXXVIII, Part 3A, 31ā36 (2010)
Shortis, M.R., Clarke, T.A., Robson, S.: Practical Testing of the Precision and Accuracy of Target Image Centring Algorithms. In: Videometrics IV, SPIE, vol.Ā 2598, pp. 65ā76 (1995)
Trinder, J.C.: Precision of Digital Target Location. Photogrammetric Engineering and Remote SensingĀ 55(6), 883ā886 (1989)
Trinder, J.C., Jansa, J., Huang, Y.: An Assessment of the Precision and Accuracy of Methods of Digital Target Location. ISPRS Journal of Photogrammetry and Remote SensingĀ 50(2), 12ā20 (1995)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
Ā© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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: Stilla, U., Rottensteiner, F., Mayer, H., Jutzi, B., Butenuth, M. (eds) Photogrammetric Image Analysis. PIA 2011. Lecture Notes in Computer Science, vol 6952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24393-6_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-24393-6_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24392-9
Online ISBN: 978-3-642-24393-6
eBook Packages: Computer ScienceComputer Science (R0)