Nonlinear blind demixing of single pixel underlying radiation sources and digital spectrum local thermometer
First Claim
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.
1 Assignment
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Accused Products
Abstract
Changes, increase or decrease, in the body fluid flow are passively detected by using a single pixel, non-linear blind de-mixing procedure, which can be extended to general biomedical measurement and diagnoses instruments. More specifically the single pixel, non-linear blind de-mixing procedure is applied on the hot spots of rheumatic arthritis or breast cancer detection problem using passive two-color infrared imaging as well as to passively detect blockages in the body fluid circulatory system that might be of importance for coronary artery bypass surgery, diabetes and deep vein thrombosis. Other applications of the mentioned algorithm include a pair of cameras for video, a pair of antennas for cell phones, and in situ data gathering or imaging using multiple mode fiberoptical sensing as well as selective amplification hearing aids through two-ear binaural processing for de-noise echo cancellation and signal classification.
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Citations
10 Claims
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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:
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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]; andproviding the one vector source corresponding to the minimum H.
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2. A method of early breast pre-cancer ductal carcinoma in situ tumor classification, diagnosis and tracking comprising:
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receiving, by a multispectral infrared (IR) camera on a single optical axis, a beam of data vector 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 the long IR beam into a first image, and converting the mid IR beam into a second image; receiving, by a computer, the first image and the second image, and executing a single pixel, non-liner blind de-mixing procedure as a nonlinear Lagrange Constraint Neural Network unsupervised two-spectral IR breast image classification on the first image and the second image to determine a temperature of the heat source; and providing the temperature of the heat source for tumor classification, diagnosis and tracking.
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3. A method of early breast pre-cancer ductal carcinoma in situ tumor classification, diagnosis and tracking using a digital heat spectrum local thermometer comprising:
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receiving, by a multispeetral infrared (IR) camera of the digital heat spectrum local thermometer, a bean of data vector 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; executing, by the computer, a single pixel, non-linear blind de-mixing procedure as a nonlinear Lagrange Constraint Neural Network unsupervised two-spectral IR breast image classification on the first image, the second image, the third image, and the fourth image to determine a termperature of the heat source; and providing the temperature of the heat source for tumor classification, diagnosis and tracking.
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4. A method of tracking infrared imaging history or histology, comprising:
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receiving, by a multispectral infrared (IR) camera on a single optical axis, a beam of data vector 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 the long IR beam into a first image, and converting the mid IR beam into a second image; receiving, by a computer, the first image and the second image, and executing a single pixel, non-linear blind de-mixing procedure as a nonlinear Lagrange Constraint Neural Network unsupervised two-spectral IR breast image classification on the first image and the second image to determine a temperature of the heat source; and providing the temperature of the heat source for tumor classification, diagnosis and tracking.
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5. A method of in situ data gathering by a multiple mode fiberoptic recording, comprising:
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receiving, by an objective lens, a beam of multiple wavelengths and including a data vector of spectral data including data corresponding to a passive heat source of a tissue image; transmitting, by the objective lens, the beam to a dual-mode fiber relay; receiving, by an ocular lens, the beam passing through the dual-mode fiber relay; focusing, by the ocular lens, the beam on a scanning mirror; reflecting, by the scanning mirror, a first wavelength of the beam onto a first detector array, and a second wavelength of the beam onto a second detector array; de-mixing a first tissue image and a second tissue image by a computer executing a single pixel, non-linear blind de-mixing procedure as a nonlinear Lagrange Constraint Neural Network unsupervised two-spectral image classification procedure; de-mixing a tissues image corresponding with virtual tumor artificially introduced by molecular tagging of fluorescence proteins; and providing the tissues image.
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6. A method of passive detection of blockages in the body fluid circulatory system comprising:
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receiving, by a multispectral infrared (IR) camera on a single optical axis, a beam of data vector of spectral data including data corresponding to a heat source, splitting the beam into a mid IR beam and a long IR beam, converting the long IR beam into a first image, and converting the mid IR beam into a second image; and receiving, by a computer, the first image and the second image, and executing a single pixel, non-linear blind de-mixing procedure as a nonlinear Lagrange Constraint Neural Network unsupervised two-spectral IR image classification on the first image and the second image to determine a temperature of the heat source; and providing the temperature of the heat source for passive detection of blockages. - View Dependent Claims (7, 8, 9)
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10. A method of passive detection and diagnosis of rheumatic arthritis comprising:
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receiving, by a multispectral infrared (IR) camera on a single optical axis, a beam of data vector of spectral data including data corresponding to a heat source, splitting the beam into a mid IR beam and a long IR beam, converting the long IR beam into a first image, and converting the mid IR beam into a second image; and receiving, by a computer, the first image and the second image, and executing a single pixel, non-linear blind de-mixing procedure as a nonlinear Lagrange Constraint Neural Network unsupervised two-spectral IR image classification on the first image and the second image to determine a temperature of the heat source; and providing the temperature of the heat source for detection of rheumatic arthritis.
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Specification