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Efficient re-sampling of discrete curves

  • US 7,120,301 B2
  • Filed: 10/03/2002
  • Issued: 10/10/2006
  • Est. Priority Date: 04/10/2002
  • Status: Active Grant
First Claim
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1. A computer-implemented method for re-sampling discrete curves, wherein the discrete curves correspond to data, the method comprising:

  • normalizing a plurality of discrete curves, wherein each discrete curve comprises a respective sequence of points;

    computing a weight function based on the plurality of discrete curves, wherein the weight function enhances differences between weighted discrete curves;

    determining a set of orthonormal polynomials based on the computed weight function, wherein the set of orthonormal polynomials comprises a set of basis functions;

    determining values for a plurality of zeros for one of the set of orthonormal polynomials, wherein the values for the plurality of zeros comprise re-sampling points for the plurality of discrete curves; and

    re-sampling each of the plurality of discrete curves based on the determined values of the plurality of zeros, thereby generating re-sampled discrete curves;

    wherein the re-sampled discrete curves are usable to analyze the data.

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