1. A computing system for removing digital watermarks from a watermarked image, the computing system comprising: a storage device operable to store a plurality of watermarked images; and a least one processor operable to execute a digital watermarks removing system, comprising: an image retrieving module operable to retrieve a watermarked image from the storage device; an image decomposing module operable to decompose the watermarked image to a plurality of Eigen-images, and assign an identifier to each of the Eigen-images in sequence; an image identifying module operable to identify an identifier range of the Eigen-images to be removed from the watermarked image; an image selecting module operable to calculate an eigen value of each Eigen-point in each Eigen-image, obtain a total eigen value of each Eigen-image by adding the eigen values of all the Eigen-points in each Eigen-image, and select Eigen-images having watermarked information from the Eigen-images within the identifier range according to the total eigen values; and a watermarked information deleting module operable to delete the selected Eigen-images from the Eigen-images within the identifier range, integrate the remainder Eigen-images of the identifier range to obtain a composite image, and store the composite image in the storage device.