In order to reduce the effect of the noise in edge detection, a kind of fractional-order difference filters were designed, whose theory was worked out and amplitude-frequency characteristic were analyzed. The coefficients of these filters can vary with its orders. The appropriate orders filters have the capability of smooth. At the same time, it overcomes the shift of the edge using fractional order differentiation directly. We use these filters to detect the edge of the objective. The results show that the...
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