An edge finder for an image processing system locates edges in a digitized image over several different ranges of pixel values and assigns, to each pixel value an edge characteristic value which represents a minimum edge value for the pixel in the image. The exemplary edge finder that is able to resolve transitions occurring between two pixels or over groups of four or eight pixels to determine whether an edge should be defined between the original two pixels. The edge finder simultaneously examines four edges in two dimensions to determine the edgeness value for each pixel in the digitized image.