Staring 2-D hadamard transform spectral imager
First Claim
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1. A staring imaging method comprising:
- applying a two-dimensional spatial image containing multi-frequency spectral information to a two-dimensional optical encoder;
encoding a x-dimension of spatial information from the two-dimensional spatial image with a cyclic Hadamard S-matrix applied by the two-dimensional optical encoder to form a Hadamard spatially encoded image;
spectrally dispersing in the x-dimension the Hadamard spatially encoded image to form a spatially encoded, spectrally dispersed image;
focussing the spacially encoded, spectrally dispersed image onto a two-dimensional detector to form a detected image;
stepping the two-dimensional optical encoder through a plurality of positions and building an untransformed, spatially encoded, and spectrally dispersed data cube from the detected image collected using each position of the two-dimensional optical encoder;
applying a moving window Hadamard transform to the untransformed, spatially encoded, and spectrally dispersed data cube to deconvolve an encoded spatial dimension; and
forming a hyperspectral data cube containing two spatial and one spectral dimension as a transform of the two-dimensional spatial image.
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Abstract
A staring imaging system inputs a 2D spatial image containing multi-frequency spectral information. This image is encoded in one dimension of the image with a cyclic Hadamarid S-matrix. The resulting image is detecting with a spatial 2D detector; and a computer applies a Hadamard transform to recover the encoded image.
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Citations
12 Claims
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1. A staring imaging method comprising:
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applying a two-dimensional spatial image containing multi-frequency spectral information to a two-dimensional optical encoder; encoding a x-dimension of spatial information from the two-dimensional spatial image with a cyclic Hadamard S-matrix applied by the two-dimensional optical encoder to form a Hadamard spatially encoded image; spectrally dispersing in the x-dimension the Hadamard spatially encoded image to form a spatially encoded, spectrally dispersed image; focussing the spacially encoded, spectrally dispersed image onto a two-dimensional detector to form a detected image; stepping the two-dimensional optical encoder through a plurality of positions and building an untransformed, spatially encoded, and spectrally dispersed data cube from the detected image collected using each position of the two-dimensional optical encoder; applying a moving window Hadamard transform to the untransformed, spatially encoded, and spectrally dispersed data cube to deconvolve an encoded spatial dimension; and forming a hyperspectral data cube containing two spatial and one spectral dimension as a transform of the two-dimensional spatial image. - View Dependent Claims (2, 3, 4, 5)
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6. A staring imaging method comprising:
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inputting a two-dimensional spatial image containing multi-frequency spectral information; spectrally dispersing the two-dimensional spatial image along an x-dimension; applying the spectrally dispersed two-dimensional spatial image to a two-dimensional optical encoder; encoding a spectral dimension of the spectrally dispersed two-dimensional spatial image with a cyclic Hadamard S-matrix applied across the x-dimension of the two-dimensional optical encoder to produce a Hadamard-encoded, spectrally dispersed image; retaining a spatial x-dimension of the Hadamard-encoded, spectrally dispersed image by de-dispersing the image after optically encoding; building an untransformed, spectrally encoded data cube from the the Hadamard-encoded, spectrally dispersed image collected for each Hadamard order; and unencoding the untransformed, spectrally encoded data cube by multiplying a vector at each encodegram pixel by an inverse of the Hadamard cyclic S-matrix to generate a hyperspectral data cube containing two spatial and one spectral dimensions. - View Dependent Claims (7, 8, 9)
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10. A staring two-dimensional imager comprising:
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a two-dimensional spatial input image; a first optical path for applying the input image to a first diffraction grating, wherein the image is spectrally dispersed; a second optical path for applying the dispersed image to a two-dimensional digital mirror array; a computer for controlling said mirror array to encode the spectrally dispersed image with a cycle S-mask Hardamard transform; a third optical path for applying the transformed image from said array to a second diffraction grating, the diffraction of said second grating canceling the dispersion of said first grating; a fourth optical path for applying the transformed image from said second diffraction grating to a two-dimensional detector;
wherein said computer is connected to said detector for converting said image into data representative of two spatial and one spectral dimension. - View Dependent Claims (11, 12)
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Specification