Probability distribution of sub-pixel edge position

Authors:
Sofiane Ramdani;Frédéric Bouchara;Khalifa Djemal
Affiliations:
LOA, Université de Toulon et du Var, B.P. 132, 83957 La Garde Cedex, France;SIS/AI, Université de Toulon et du Var, B.P. 132, 83957 La Garda Cedex, France;LOA, Université de Toulon et du Var, B.P. 132, 83957 La Garde Cedex, France
Venue:
Signal Processing
Year:
2004

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Abstract

This paper deals with the stochastic analysis of a sub-pixel edge detector. Under basic assumptions on the noise present in the image (white Gaussian and additive), we derive the two first-order moments of the sub-pixel edge position. Besides possibly using these results to evaluate the quality of the detection, this model shows the existence of a skew on the estimated position which can then be corrected. In order to validate the model, the theoretical results obtained are compared with experimental simulations.