Coded aperture imaging with uniformly redundant arrays
First Claim
Patent Images
1. A device for imaging a source of nonfocusable radiation comprising:
- a uniformly redundant array aligned to aperture image said source of nonfocusable radiation;
x-ray detector means for detecting said nonfocusable radiation imaged by said uniformly redundant array;
means for balance correlating information from said means for detecting to generate a decoded image of said source of nonfocusable radiation.
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Abstract
A system utilizing uniformly redundant arrays to image non-focusable radiation. The uniformly redundant array is used in conjunction with a balanced correlation technique to provide a system with no artifacts such that virtually limitless signal-to-noise ratio is obtained with high transmission characteristics. Additionally, the array is mosaicked to reduce required detector size over conventional array detectors.
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Citations
15 Claims
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1. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aligned to aperture image said source of nonfocusable radiation; x-ray detector means for detecting said nonfocusable radiation imaged by said uniformly redundant array; means for balance correlating information from said means for detecting to generate a decoded image of said source of nonfocusable radiation.
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2. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aligned to aperture image said source of nonfocusable radiation; neutron detector means for detecting said nonfocusable radiation imaged by said uniformly redundant array; means for balance correlating information from said means for detecting to generate a decoded image of said source of nonfocusable radiation.
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3. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aligned to aperture image said source of nonfocusable radiation; cosmic radiation detection means for detecting said nonfocusable radiation imaged by said uniformly redundant array; means for balance correlating information from said means for detecting to generate a decoded image of said source of nonfocusable radiation.
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4. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aligned to aperture image said source of nonfocusable radiation, said uniformly redundant array comprising an aperture wherein;
space="preserve" listing-type="equation">A(I,J)=0 if I=0
space="preserve" listing-type="equation">A(I,J)=1 if J=0, I≠
0
space="preserve" listing-type="equation">A(I,J)=1 if C.sub.r (I)C.sub.s (J)=1
space="preserve" listing-type="equation">A( I,J)=0 otherwise
space="preserve" listing-type="equation">where C.sub.r (I)=1 if there exists an integer x, 1≦
x<
r
space="preserve" listing-type="equation">such that I=mod.sub.r x.sup.2
space="preserve" listing-type="equation">C.sub.r (I)=-1 otherwise
space="preserve" listing-type="equation">and C.sub.s (J)=1 if there exists an integer x, 1≦
x<
s
space="preserve" listing-type="equation">such that J=mod.sub.s x.sup.2
space="preserve" listing-type="equation">C.sub.s (J)=1 otherwise
space="preserve" listing-type="equation">and r-s=2 with r and s prime numbers and,where A(I,J) is a function which represents locations on said aperture array for transmitting said nonfocusable radiation; means for detecting said nonfocusable radiation imaged by said uniformly redundant array; means for balance correlating information from said means for detecting to generate a decoded image of said source of nonfocusable radiation.
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5. A device for imaging a source of nonfocusable radiation comprising:
- a uniformly redundant array aligned to aperture image said source of nonfocusable radiation;
means for detecting said nonfocusable radiation imaged by said uniformly redundant array; means for balance correlating information from said means for detecting to generate a decoded image of said source of nonfocusable radiation, said means for balance correlating information from said means for detecting comprising a function wherein;
space="preserve" listing-type="equation">G(I,J)=1 if A(I,J)=1
space="preserve" listing-type="equation">G(I,J)=-ρ
/(1-ρ
) if A(I,J)=0where ρ
represents the fraction of transmissive area to nontransmissive area in the aperture, resulting in;
space="preserve" listing-type="equation">Σ
Σ
A(I,J)G(I+K,J+L)∝
(rs-1)/2 of mod.sub.4 K=0 and Mod.sub.s L=0
space="preserve" listing-type="equation">Σ
Σ
A(I,J)G(I+K,J+L)=0 otherwise.
- a uniformly redundant array aligned to aperture image said source of nonfocusable radiation;
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6. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aligned to aperture image said source of nonfocusable radiation, said uniformly redundant array comprising an aperture wherein;
space="preserve" listing-type="equation">A(I,J) is periodic, that is;
space="preserve" listing-type="equation">A(I,J)=A(I+r, J+s)where r and s are constants not equal to zero and A has a flat autocorrelation, that is;
##EQU3## where A(I,J) is a function which represents locations on said aperture array for transmitting said nonfocusable radiation;means for detecting said nonfocusable radiation imaged by said uniformly redundant array; means for balance correlating information from said means for detecting to generate a decoded image of said source of nonfocusable radiation.
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7. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aperture aligned to project an encoded image of said source of nonfocusable radiation; x-ray detector means for detecting said encoded images means for balance correlating said encoded image to generate a decoded image of said source.
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8. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aperture aligned to project an encoded image of said source of nonfocusable radiation; neutron detector means for detecting said encoded image; means for balance correlating said encoded image to generate a decoded image of said source.
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9. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aperture aligned to project an encoded imgage of said source of nonfocusable radiation; cosmic radiation detector means for detecting said encoded image; means for balance correlating said encoded image to generate a decoded image of said source.
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10. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aperture aligned to project an encoded image of said source of nonfocusable radiation, said uniformly redundant array comprising an aperture wherein;
space="preserve" listing-type="equation">A(I,J)=0 if I=0
space="preserve" listing-type="equation">A(I,J)=1if J=0, I≠
0
space="preserve" listing-type="equation">A(I,J)=1if C.sub.r (I)C.sub.s (J)=1
space="preserve" listing-type="equation">A(I,J)=0 otherwisewhere Cr (I)=1 if there exists an integer x, 1≦
x<
r
space="preserve" listing-type="equation">such that I=mod.sub.r x.sup.2
space="preserve" listing-type="equation">C.sub.r (I)=-1otherwiseCs (J)=1 if there exists an integer x, 1≦
x<
s
space="preserve" listing-type="equation">such that J=mod.sub.2 x.sup.2
space="preserve" listing-type="equation">C.sub.s (J)=-1 otherwiseand r-s=2 with r and s prime numbers and, where A(I,J) is a function which represents locations on said aperture array for transmitting said nonfocusable radiation; means for detecting said encoded image; means for balance correlating said encoded image to generate a decoded image of said source.
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11. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aperture aligned to project an encoded image of said source of nonfocusable radiation, said uniformly redundant array comprising a function A(I,J) which has the following properties; A(I,J) is periodic, that is,
space="preserve" listing-type="equation">A(I,J)=A(I+r, J+s)where r and s are constants not equal to zero, and A has a flat autocorrelation, that is, ##EQU4## where A(I,J) is a function which represents locations on said aperture array for transmitting said nonfocusable radiation; means for detecting said encoded image; means for balance correlating said encoded image to generate a decoded image of said source.
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12. A device for imaging a source of nonfocusable radiation comprising:
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a uniformly redundant array aperture aligned to project an encoded image of said source of nonfocusable radiation;
means for detecting said encoded image;
means for balance correlating said encoded image to generate a decoded image of said source, said means for balance correlating said encoded image comprising a function wherein;
space="preserve" listing-type="equation">G(I,J)=1if A(I,J)=1
space="preserve" listing-type="equation">G(I,J)=-ρ
/(l-ρ
) if A(I,J)=0where ρ
represents the fraction transmissive area to nontransmissive area in the aperture, resulting in;
space="preserve" listing-type="equation">Σ
Σ
A(I,J)G(I+K,J+L)∝
(rs-1)/2 if mod.sub.r K=0 and mod.sub.s L=0
space="preserve" listing-type="equation">Σ
Σ
A(I,J)G(I+K,J+I)=0 otherwise.
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13. A uniformly redundant array aperture described as follows:
- ##EQU5## and r-s=2 with r and s prime numbers and, where A(I,J) is a function which represents locations on said array for transmitting radiation.
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14. A coded aperture imaging system comprising:
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a source of nonfocusable radiation; a uniformly redundant array coded aperture; means for detecting said nonfocusable radiation encoded by said coded aperture to produce a coded output signal; means for digitizing said coded output signal; means for analyzing pulse height of said coded output signal; means for storing pulse height analyzed data;
p1 means for balance correlating said data to obtain a decoded image signal;means for displaying said decoded image signal. - View Dependent Claims (15)
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Specification