CONTINUOUS SYMMETRY FOR SHAPES
Hagit Zabrodsky, David Avnir · 2006
Symmetry is treated as a continuous feature, and the Symmetry Distance (SD) of a shape is de ned to be the minimum distance required to move points of the original shape in order to obtain a symmetrical shape. This general de nition of a symmetry measure enables a comparison of the \\amount " of symmetry of di erent shapes and the \\amount " of di erent symmetries of a single shape. The measure is applicable to any type of symmetry in any dimension. The Symmetry Distance gives rise to a method of reconstructing symmetry of occluded shapes. We extend the method to deal with symmetries of noisy and fuzzy data. 1