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Linear system based, qualitative independent motion detection from compressed MPEG surveillance video

  • US 8,773,536 B1
  • Filed: 04/17/2012
  • Issued: 07/08/2014
  • Est. Priority Date: 02/12/2003
  • Status: Active Grant
First Claim
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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)}+α

    x+β

    y+y=
    0represents 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.

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