Temporally- And Spatially-Resolved Single Photon Counting Using Compressive Sensing For Debug Of Integrated Circuits, Lidar And Other Applications
First Claim
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1. A method for imaging comprising the steps of:
- collecting light emitted or reflected/scattered from an object;
imaging the object onto a spatial light modulator;
applying a series of pseudo-random modulation patterns to the spatial light modulator according to standard compressive-sensing theory;
collecting the modulated light onto a photon-counting detector;
recording the number of photons received for each pattern (by photon counting); and
recovering the spatial distribution of the received photons by the algorithms of compressive sensing (CS).
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Abstract
A method for photon counting including the steps of collecting light emitted or reflected/scattered from an object; imaging the object onto a spatial light modulator, applying a series of pseudo-random modulation patterns to the SLM according to standard compressive-sensing theory, collecting the modulated light onto a photon-counting detector, recording the number of photons received for each pattern (by photon counting) and optionally the time of arrival of the received photons, and recovering the spatial distribution of the received photons by the algorithms of compressive sensing (CS).
74 Citations
11 Claims
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1. A method for imaging comprising the steps of:
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collecting light emitted or reflected/scattered from an object; imaging the object onto a spatial light modulator; applying a series of pseudo-random modulation patterns to the spatial light modulator according to standard compressive-sensing theory; collecting the modulated light onto a photon-counting detector; recording the number of photons received for each pattern (by photon counting); and recovering the spatial distribution of the received photons by the algorithms of compressive sensing (CS). - View Dependent Claims (2, 3, 4, 5)
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6. A method for photon counting based upon inner products comprising the steps of:
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modulating an incident light field corresponding to an image by a series of patterns with a spatial light modulator; optically computing inner products between the light field of said image and said series of patterns with an encoder; recording the number of photons received for each pattern by photon counting; and recovering the spatial distribution of the received photons based upon said inner products from said encoder; wherein said recovering step is based on at least one of a Greedy reconstruction algorithm, Matching Pursuit, Orthogonal Matching Pursuit, Basis Pursuit, group testing, LASSO, LARS, expectation-maximization, Bayesian estimation algorithm, belief propagation, wavelet-structure exploiting algorithm, Sudocode reconstruction, reconstruction based on manifolds, l1 reconstruction, l0 reconstruction, and l2 reconstruction. - View Dependent Claims (7, 8, 9, 10)
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11. A method for decomposing an integrated temporal signature of arriving photons to a resolution finer than an integration time of a detector and is instead resolved to a temporal frame rate of a modulator.
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