# US 9,521,306 B2 · Apparatus and method for compressive imaging and sensing through multiplexed modulation via spinning disks

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- Number: US 9,521,306 B2
- Document ID: US9521306B2
- Status: Granted
- Kind: B2
- Application number: 14/811,080
- Filed: 2015-07-28
- Published: 2016-01-14
- Granted: 2016-12-13
- Earliest claimed: 2009-12-07
- Assignees: William Marsh Rice University
- Applicants: Kevin F Kelly; Richard G Baraniuk; Gary Woods; Ting Sun; Matthew Turner
- Inventors: Kevin F Kelly; Richard G Baraniuk; Gary Woods; Ting Sun; Matthew Turner
- Web page: https://patentgrep.com/patent/US9521306B2

## CPC

- H04N 19/90: using coding techniques not provided for in groups H04N19/10-H04N19/85, e.g. fractals
- H03M 7/3062: {Compressive sampling or sensing}
- H04N 3/08: having a moving reflector
- H04N 25/00: Circuitry of solid-state image sensors [SSIS]; Control thereof
- H04N: PICTORIAL COMMUNICATION, e.g. TELEVISION
- H03M: CODING; DECODING; CODE CONVERSION IN GENERAL (using fluidic means F15C4/00; optical analogue/digital converters G02F7/00; coding, decoding or code conversion, specially adapted for particular applications, see the relevant subclasses, e.g. G01D, G01R, G06F, G06T, G09G, G10L, G11B, G11C, H04B, H04L, H04M, H04N; ciphering or deciphering for cryptography or other purposes involving the need for secrecy G09C)

## Abstract

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.

## Claims

### Claim 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 disks, wherein each of said plurality of disks spins at a different speed;
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, l1 reconstruction, l0 reconstruction, and l2 reconstruction.

### Claim 2 (depends on 1)

An imaging system according to claim 1, wherein said plurality of disks have a combined attenuation that results in 50% blocking of light at the means for optically computing inner products.

### Claim 3 (depends on 1)

An imaging system according to claim 1, wherein said series of patterns are random or psuedorandom.

### Claim 4 (depends on 1)

An imaging system according to claim 1, wherein said plurality of disks comprises first and second disks.

### Claim 5 (depends on 4)

An imaging system according to claim 4, wherein an imaging plane in said first disk is aligned diagonally with said second disk.

### Claim 6 (depends on 4)

An imaging device according to claim 4, wherein a spindle of said first disk is aligned with a spindle of said second disk.

### Claim 7 (depends on 1)

An imaging device according to claim 1, wherein as least one of said plurality of disks translates horizontally, vertically or depthwise relative to at least one other of said plurality of disks.

### Claim 8

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 disks, wherein each of said plurality of disks spins at a different speed;
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, l1 reconstruction, l0 reconstruction, and l2 reconstruction.

### Claim 9 (depends on 8)

An imaging system according to claim 8, wherein said plurality of disks comprises first and second disks.

### Claim 10 (depends on 9)

An imaging system according to claim 9, wherein an imaging plane in said first disk is aligned diagonally with said second disk.

### Claim 11 (depends on 9)

An imaging device according to claim 9, wherein a spindle of said first disk is aligned with a spindle of said second disk.

### Claim 12 (depends on 8)

An imaging system according to claim 8, wherein said plurality of disks have a combined attenuation that results in 50% blocking of light at the means for optically computing inner products.

### Claim 13 (depends on 8)

An imaging device according to claim 8, wherein as least one of said plurality of disks translates horizontally, vertically or depthwise relative to at least one other of said plurality of disks.

### Claim 14

A 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 disks, wherein at least two of said plurality of disks spin at different speeds;
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, l1 reconstruction, l0 reconstruction, and l2 reconstruction.

### Claim 15 (depends on 14)

A method according to claim 14, wherein an imaging plane in a first of said plurality of disks is aligned diagonally with a second of said plurality of disks.

### Claim 16 (depends on 14)

A method according to claim 14, wherein a spindle of a first of said plurality of disks is aligned with a spindle of second of said plurality of disks.

### Claim 17 (depends on 14)

A method according to claim 14, wherein said series of patterns are random or psuedorandom.

### Claim 18 (depends on 14)

A method according to claim 14, wherein said plurality of disks have a combined attenuation that results in 50% blocking of light at the means for optically computing inner products.

### Claim 19

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 first and second disks, wherein said first and second disks spin at different speeds;
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.

### Claim 20 (depends on 19)

A method according to claim 19, wherein said series of patterns are random or psuedorandom.