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On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images
January 1989 (vol. 11 no. 1)
pp. 104-108

A simple algorithm is presented for finding all the axes of symmetry of symmetric and almost symmetric planar images having nonuniform gray-level (intensity images). The technique, which can also be used in conjunction with planar curves, is based on the identification of the centroids of the given image and other related sets of points, followed by a maximization of a specially defined coefficient of symmetry. Owing to the nature of the required procedures, which are strictly based on the computation of mean values, the method is not particularly affected by the presence of noise and is especially suited for application in conjunction with digitized figures.

[1] M. J. Atallah, "On symmetry detection,"IEEE Trans. Comput., vol. C-34, pp. 663-666, July 1985.
[2] S. A. Friedberg, "Finding axes of skewed symmetry,"Comput. Vision Graphics Image Processing, vol. 34, pp. 138-155, 1986.
[3] L. N. Childs,A Concrete Introduction to Higher Algebra. New York: Springer-Verlag, 1979.

Index Terms:
axes of symmetry detection; computerised picture processing; computerised pattern recognition; symmetric planar images; gray-level; planar curves; identification; centroids; digitized figures; computerised pattern recognition; computerised picture processing; optimisation
Citation:
G. Marola, "On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 11, no. 1, pp. 104-108, Jan. 1989, doi:10.1109/34.23119
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