1. A method for scanning an image, comprising the steps of: scanning a specific source image with a sensor that comprises multiple line arrays that are respectively designed to detect a specific color such that one color separation of a source image to be scanned is generated by each line array, said color separations depicting the source image in the form of pixels, wherein the pixels of the different color separations of said specific source image are offset somewhat relative to one another; separately filtering the pixels of the color separations of the source image with multiple FIR sub-filters, and summing the filtered pixels of the multiple color separations of the source image into pixels of a target image, wherein a black-and-white image is generated said target image; and executing upon the filtering an interpolation of the pixels of the color separations of the source image to form the pixels of the target image.