1. A method for detection of independent motion of a plurality of objects presented in a plurality of images acquired at different spatial positions, comprising: a) processing each of the plurality of images with an automated processor to generate a respective linear system representing the plurality of objects in the form of a matrix having at least three dimensions stored in a memory; b) analyzing a plurality of matrices with an automated processor to qualitatively determine whether there is a unique solution for the plurality of matrices as representing a respective linear system, based on a ratio of a singular value decomposition of a matrix with respect to an associated augmented matrix, wherein: 
 {dot over (x)}+θ{dot over (y)}+αx+βy+y= 0 represents a linear constraint for each point at coordinates (x,y) with derivatives {dot over (x)}, {dot over (y)}, represented in respective images, wherein α, β, γ, and θ are functions of both the motion parameters and affine transform parameters between respective images; and c) outputting a signal corresponding to the qualitative determination, representing whether or not there is independent motion between the plurality of objects represented in the time sequence of images.