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Method for data compression by associating complex numbers with files of data values

  • US 5,717,787 A
  • Filed: 04/16/1996
  • Issued: 02/10/1998
  • Est. Priority Date: 04/16/1996
  • Status: Expired due to Fees
First Claim
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1. A method for compressing and uncompressing data for storage or transmission, wherein a data file is stored as a file of size N, and letting T be a function that maps integers to points in the complex plane, P be an m degree polynomial, and A be a function of the first derivative of P, and B be a function of the second derivative of P, and further letting C(i) be a map to a unique value for each root of P, where 1≦

  • i≦

    m, then A and B are then iteratively solved for each z=T(i), 1≦

    i≦

    N, and a solution ultimately converges within some epsilon of one of the roots of P, for when z converges to root j, C(j) is assigned to z, and P, A and B can be defined for any m numbers in the complex plane and color function C to generate a data file of pixel values encoded by m complex numbers.

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