1. A method for analyzing an image, comprising: receiving data describing an image, wherein the image is defined in a bounded n-dimensional space, wherein the image is embedded in an m-dimensional real space via an embedding function x( ), and wherein m>n; determining a diffeomorphism (f,g) of the n-dimensional space; computing the inverse transform (f −1,g −1 ) of the determined diffeomorphism (f,g); selecting a plurality of points in the n-dimensional space; mapping the plurality of points onto the image using x(f −1,g −1 ) thereby generating a mapped plurality of points on the image; and analyzing the mapped plurality of points to determine characteristics of the image.