The idea of fractional dimension was stated in brief firstly. Then, adopting the fractional statistical similar principle,the method of the least square minimum error was applied to evaluate the fractional dimension of per image pixel depending on the fractional property of image. And the image edge is extracted by magnitude of fractional dimension of image pixel. We presented the algorithm of the local fractional dimension, which made the rule of window size and sentencing the fractional dimension of edge. Although this algorithm was waste time, it is better than the classical ones in extraction edge and anti-jamming.
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