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As mentioned previously, cocircular edges need to be parallel or
anti-parallel with the normals of the boundary of the annular sampling region
to contribute to the symmetry. The resulting output will be referred to as
``general symmetry''. It is possible to restrict this definition further and perform
the computations only on edges that are parallel to the normals of the
sampling region; this yields ``dark symmetry'' and includes those edges which
are oriented away from the center of cocircularity. Typically, dark symmetry
will detect interest points and lines of symmetry in dark objects treating
bright regions in the image as the background. ``Bright symmetry'', on the
other hand, usually detects only bright objects by considering edges oriented
towards the point of cocircularity.
Tony Jebara
2000-06-23