1. A computerized system for representing a perceptual organization of an image, comprising: a scaling system for progressively blurring the image to yield a set of scaling levels, and allocating a spatial index that comprises a rectangular array of integers for each of the set of scaling levels; an edge detection system for detecting edges of the image on each of the set of scaling levels; a segment identification system for identifying individual segments of the image on each of the set of scaling levels based on the detected edges, and assigning each of the individual segments a non-zero integer as an identifier, wherein corresponding elements of the associated spatial index are set to the identifier; and a linking system for linking like individual segments on successive scaling levels based on a comparison of corresponding identifiers of the individual segments to yield a lattice structure, wherein the lattice structure represents the perceptual organization of the image.