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System and method for analyzing an image

  • US 20030031357A1
  • Filed: 06/25/2001
  • Published: 02/13/2003
  • Est. Priority Date: 06/25/2001
  • Status: Active Grant
First Claim
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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.

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