1. A statistical image processing system for detecting an image/noise feature, the system comprising: a partial image extraction unit configured to extract a partial image surrounding a particular pixel in an input image; an image correlation estimation unit configured to obtain a direction coherence with respect to each of a plurality of predetermined direction using a correlation between pixel values in the partial image; an independence estimation unit configured to obtain a test statistic by numerically expressing similarity between a plurality of direction coherences obtained by the image correlation estimation unit; and a statistical hypothesis test unit configured to compare the test statistic obtained by the independence estimation unit with at least one predetermined image/noise limit and to obtain an image/noise detection value indicating an amount of image/noise feature in the partial image.