Recognizing 2D Shapes by Semmetry Set and Its Representation on Triangle Domain

J. Zou, B. Zhang, and J. Xiong (PRC)


shape descriptor, Symmetry Set, triangle domain


A novel shape descriptor is introduced, which is closely related to the Symmetry Set and the anti-Symmetry Set. A diagram with binary regions is obtained by pairs of points which share a geometrical property based on their mutual symmetry. The coefficient which is the representation of the upper triangular matrix of the diagram on the Walsh Function System on triangle domain is defined for the shape descriptor. This descriptor is tested with objects in different classes, and some objects are occluded or noised. The results are promising, the descriptor is invariant in the rotation, translation, and scale transformation, removing the effect of the start point of the shape, especially has some resistance to slight occlusion.

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