Method and apparatus for three-dimensional imaging in the fourier domain
First Claim
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1. A method for multi-dimensional imaging of an object region, the method comprising the steps of:
- a) passing light through an object region to produce transmitted light rays;
b) capturing the light rays by at least one optical element, the at least one optical element having a back focal plane;
c) using at least one detector to capture a power spectrum of a two-dimensional Fourier transform, where the at least one detector is located in a back focal plane of the at least one optical element; and
d) repeating steps a)-c) for two or more viewpoints about an arc at least partially encircling the object region to obtain multiple two-dimensional Fourier transforms.
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Abstract
Two or more two-dimensional Fourier transforms are acquired from different perspectives of a three-dimensional object region. A three-dimensional Fourier transform is then constructed using tomographic methods, permitting the application of image analysis algorithms analogous to those used for two-dimensional images.
156 Citations
23 Claims
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1. A method for multi-dimensional imaging of an object region, the method comprising the steps of:
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a) passing light through an object region to produce transmitted light rays;
b) capturing the light rays by at least one optical element, the at least one optical element having a back focal plane;
c) using at least one detector to capture a power spectrum of a two-dimensional Fourier transform, where the at least one detector is located in a back focal plane of the at least one optical element; and
d) repeating steps a)-c) for two or more viewpoints about an arc at least partially encircling the object region to obtain multiple two-dimensional Fourier transforms. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
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13. A system for multi-dimensional imaging of an object region, the system comprising:
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a light source;
an object region including at least one feature of interest the object region being disposed in an optical path to be illuminated by the light source;
at least one detector located in the optical path to receive light passing through the object region;
at least one lens located in the optical path between the object region and the at least one detector such that a Fourier plane is created in the back focal plane of the lens, where the at least one detector is located in the Fourier plane; and
wherein the light source, the at least one detector and the at least one lens are arranged to provide multiple views of the object region for mapping at least one n-dimensional spatial frequency distribution of the at least one feature of interest at each view so as to provide a plurality of spatial frequency distributions used for constructing an (n+1)-dimensional data set, where n is greater than or equal to 1, whereby an n-dimensional Fourier transform may be reconstructed as an (n+1)-dimensional Fourier transform. - View Dependent Claims (14, 15, 16, 17)
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18. A parallel-beam optical tomography system for imaging an object of interest having at least one feature of interest, the parallel-beam optical tomography system comprising:
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a light source projecting a column of light along an optical path;
an object containing tube located along the optical path, wherein the object of interest is held within the object containing tube;
at least one detector array, where the at least one detector array is located to receive emerging radiation from the object of interest;
at least one lens located in the optical path between the object of interest and the at least one detector array such that a Fourier plane is created in a back focal plane of the lens, where the at least one detector is located in the Fourier plane; and
wherein the light source, the at least one detector and the at least one lens are arranged to provide multiple views of the object region for mapping at least one n-dimensional (n>
1) spatial frequency distribution of the at least one feature of interest at each view so as to provide a plurality of spatial frequency distributions used for constructing an (n+1)-dimensional data set, where n is greater than or equal to 1, whereby an n-dimensional Fourier transform maybe reconstructed as an (n+1)-dimensional Fourier transform.- View Dependent Claims (19, 20, 21, 22, 23)
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Specification