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Nonlinear blind demixing of single pixel underlying radiation sources and digital spectrum local thermometer

  • US 7,366,564 B2
  • Filed: 08/22/2003
  • Issued: 04/29/2008
  • Est. Priority Date: 08/23/2002
  • Status: Expired due to Fees
First Claim
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1. A method of early breast pre-cancer ductal carcinoma in situ tumor classification, diagnosis and tracking using a digital heat spectrum local thermometer, by determining uniquely underlying sources forming a source vector S=(S1, S2, . . .) propagating through a nonlinear mixing medium of a constant temperature, open equilibrium system by measuring multiple radiation components forming a data vector per single pixel X=(X1, X2, . . .) comprising:

  • receiving, by a multispectral infrared (IR) camera of the digital heat spectrum local thermometer, a beam of the data vector X of spectral data including data corresponding to a passive heat source, splitting the beam into a mid IR beam and a long IR beam, converting by a first charge-coupled device the long IR beam into a first image, and converting by a second charge-coupled device the mid IR beam into a second image;

    receiving, by a computer of the digital heat spectrum local thermometer, the first image and the second image, cooling the first charge-coupled device and the second charge-coupled device;

    receiving, by the multispectral infrared (IR) camera, a second beam of data vector of spectral data including data corresponding to the heat source, splitting the second beam into a second mid IR beam and a second long IR beam, converting by the first charge-coupled device the second long IR beam into a third image, and converting by the second charge-coupled device the mid IR beam into a fourth image;

    applying, by the computer, a constraint to the equilibrium system such that the thermal diffusion of the equilibrium system is constrained isothermally at the equilibrium free energy, wherein the equilibrium free energy is the Helmholtz free energy H=E−

    TS, wherein E is the energy, T is the equilibrium reservoir temperature, and S is the classical Shannon information theory entropy, defining a state of the open equilibrium system by a feed-forward first order error energy E(X/S)=μ

    {g([W]X)−

    S}, wherein μ

    is the Lagrange constraint vector and [W] is the feed-forward matrix, reducing the feed-forward first order energy E(X/S) to a second order Least Mean Square (LMS) error energy for a specific Lagrange constraint vector μ

    , and determining from among all possible vector sources S=(S1, S2, . . .) one vector source that satisfies the minimum H for an arbitrary mixing matrix [A] and smooth nonlinearity g;

    X=g

    1
    {[A]S}, wherein [A] is the heat transport mixing matrix and is the inverse of [W]; and

    providing the one vector source corresponding to the minimum H.

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