Abstract Any kind of the shapes corresponds to one set of curves which forms the curve equivalence classes based on an equivalence relation. In this paper, the curve equivalence classes are used to describe the shapes. And different kinds of shapes are mapped to the curve equivalence classes. The shape description is invariant to the translation, scale, and rotation. Based on the description, the distance between the curve equivalence classes is defined which reflects the similarity between the shapes. This method for the shape recognition has immunity to noise and small perturbations.
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2006, Vol. 19 
