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Method for determining multi-dimensional topology

  • US 6,516,277 B2
  • Filed: 02/04/2002
  • Issued: 02/04/2003
  • Est. Priority Date: 05/30/1997
  • Status: Expired due to Fees
First Claim
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1. A method of determining the multi-dimensional topology of a system within a space from a set of relative values for scalar properties of the space, each value for a given point within the space, the method comprising the steps of:

  • a) interpolating a set of functions to generate continuous relative values for the scalar properties;

    b) identifying critical points of the continuous relative values by using an eigenvector following method;

    c) associating critical points with one another by following a gradient path of the continuous relative values between the critical points; and

    d) generating a representation of the topology according to the associated critical points, wherein the system is the flow of a fluid over a surface.

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