An image pickup apparatus having auto focusing function using fractal dimension and an auto focusing method of an image pickup apparatus are disclosed, the apparatus characterized by comprising: a pickup unit; a fractal controller generating a fractal dimension value indicating chrominance information change per pixel of a pickup image of the pickup unit to determine whether the auto focusing has been adjusted; and an auto focusing adjustor adjusting a focus of the pickup unit in response to an auto focus adjustment signal from the fractal controller.
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