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A Fractal Shape Signature

In this paper we describe a novel scheme for 2D shape representation based on fractal geometry. The representation (or fractal signature) of the shape is an external scalar transform which contains information from a wide range of scales. It appears to be unique except for size, orientation, position and reflection and we show that it degrades gracefully with noise. We show how the fractal signature can be used for fast shape matching and suggest how the technique can be extended to deal with partial boundaries.