Apparatus and method for compressive imaging and sensing through multiplexed modulation
Compressive imaging apparatus employing multiple modulators in various optical schemes to generate the modulation patterns before the signal is recorded at a detector. The compressive imaging apparatus is equally valid when applying compressive imaging to structured light embodiments where the placement is shifted from the acquisition path between the subject and the detector into the illumination path between the source and the subject to be imaged.
1. An imaging system comprising:
a multilayered modulator for modulating an incident light field by a series of patterns, wherein said multilayered modulator comprises a plurality of masks having partial patterns and said masks are shifted relative to one another;
means for optically computing inner products between the light field and said series of patterns; and
means for recovering a signal based upon said inner products and 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, l 1 reconstruction, l 0 reconstruction, and l 2 reconstruction.
2. An imaging system according to claim 1 , wherein said multilayered modulator comprises a plurality of masks, said masks having partial patterns that are translated horizontally, vertically and depthwise relative to one another.
3. An imaging system comprising:
a multilayered modulator for modulating an incident light field by a series of patterns, wherein said multilayered modulator comprises a plurality of masks, said masks having partial patterns that are translated horizontally, vertically and depthwise relative to one another;
a detector, said detector optically computing inner products between said light field and said series of patterns; and
a processor, said processor recovering a signal based upon said inner products and 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, l 1 reconstruction, l 0 reconstruction, and l 2 reconstruction.
4. An method for acquiring and recovering a signal, the method comprising the steps of:
modulating an incident light field by a series of patterns with a multilayered modulator having a plurality of masks having partial patterns by translating said masks relative to one another;
optically computing inner products between said light field and said series of patterns; and
recovering a signal based upon said inner products and 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, l 1 reconstruction, l 0 reconstruction, and l 2 reconstruction.
5. A method for detecting or classifying a signal, the method comprising the steps of:
modulating an incident light field by a series of patterns with a multilayered modulator having a plurality of masks having partial patterns by shifting said masks relative to one another;
optically computing inner products between said light field and said series of patterns; and
comparing the optically computed inner products against a set of target templates or using a statistical test to detect the signal or classify a signal into one of a plurality of classes.
6. An imaging system according to claim 1 , wherein said plurality of masks have a combined attenuation that results in 50% blocking of light at the means for optically computing inner products.
7. An imaging system according to claim 4 , wherein said series of patterns are random or psuedorandom.