# US 12,111,253 B2 · Method and apparatus for determining a reflectance of a target object

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- Number: US 12,111,253 B2
- Document ID: US12111253B2
- Status: Granted
- Kind: B2
- Application number: 17/781,759
- Filed: 2020-11-27
- Published: 2023-01-26
- Granted: 2024-10-08
- Earliest claimed: 2019-12-02
- Assignees: University of Essex Enterprises Limited
- Applicants: University of Essex Enterprises Limited
- Inventors: Tracy Lawson; John Stamford
- Web page: https://patentgrep.com/patent/US12111253B2

## CPC

- G01N 21/359: using near infrared light
- G01N 21/31: Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry {(G01N21/72 takes precedence)}
- G01N 21/55: Specular reflectivity
- G01N 21/84: Systems specially adapted for particular applications
- G06V 20/188: {Vegetation}
- H04N 23/11: for generating image signals from visible and infrared light wavelengths
- G01N 21/274: {Calibration, base line adjustment, drift correction}
- G01N 2021/1765: {Method using an image detector and processing of image signal}
- G01N 2021/1797: {in landscape, e.g. crops}
- G01N 2021/558: {Measuring reflectivity and transmission}
- G01N 2021/8466: {Investigation of vegetal material, e.g. leaves, plants, fruits}
- G01N 2201/0214: Airborne
- G01N 2201/0216: Vehicle borne
- G01N 2201/0221: Portable; cableless; compact; hand-held
- G06Q 50/02: Agriculture; Fishing; Forestry; Mining
- G01N: INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES (measuring or testing apparatus or processes other than immunoassay, involving enzymes or microorganisms C12M, C12Q)
- G06V: IMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
- H04N: PICTORIAL COMMUNICATION, e.g. TELEVISION
- G06Q: INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR

## Abstract

A method and apparatus for determining a reflectance, of at least a portion of a target object, in at least one selected wavelength range of electromagnetic (EM) radiation are disclosed. The method comprises, for each selected wavelength range, providing a digital image including at least one target object and a plurality of reference objects, each reference object having respective non-identical predetermined reflectance characteristics, with a digital camera arrangement that provides output image data that comprises digital numbers that are responsive to radiation, in only a selected wavelength range, incident at a sensing plane of the digital camera arrangement. A relationship between a first set of the digital numbers is determined and a first set of the respective predetermined reflectance characteristics of the reference objects. Responsive to the relationship, a further set of digital numbers is transformed to allocate a value of reflectance for each of the digital numbers in the further set. For at least a portion of the target object, a corresponding first group of allocated values of reflectance is determined and responsive to the first group of allocated values, determining a reflectance of the portion of the target object.

## Claims

### Claim 1

A method for determining a reflectance, of at least a portion of a target object, in at least one selected wavelength range of electromagnetic (EM) radiation, comprising, for each selected wavelength range:
providing a digital image including at least one target object and a plurality of reference objects, each reference object having respective non-identical predetermined reflectance characteristics, with a digital camera arrangement that provides output image data that comprises digital numbers that are responsive to radiation, in only a selected wavelength range, incident at a sensing plane of the digital camera arrangement, wherein the digital image is a digital representation of a scene including the at least one target object and the plurality of reference objects and wherein the output image data comprises gamma encoded data;
determining a pre-transformation relationship between a first set of the digital numbers and a first set of the respective predetermined reflectance characteristics of the reference objects, wherein the first set of digital numbers coincide with the digital numbers corresponding to the reference objects and wherein the pre-transformation relationship is non-linear;
determining a post-transformation relationship between the first set of the digital numbers and the first set of the respective predetermined reflectance characteristics of the reference objects, wherein the post-transformation relationship is linear;
extrapolating the post-transformation relationship to a further set of digital numbers that coincide with the digital numbers corresponding to a remainder of the scene excluding the reference objects;
responsive to extrapolation of the post-transformation relationship, transforming a further set of digital numbers to allocate a value of reflectance for each of the digital numbers in the further set;
for at least a portion of the target object, determining a corresponding first group of allocated values of reflectance; and
responsive to the first group of allocated values, determining a reflectance of the portion of the target object.

### Claim 2 (depends on 1)

The method as claimed in claim 1 further comprising:
determining an index of reflectance for the portion of the target object.

### Claim 3 (depends on 2)

The method as claimed in claim 2 further comprising, determining the index of reflectance by the steps of:
via a first selected wavelength range, determining a corresponding first reflectance of the portion of the target object;
via at least a second selected wavelength range, determining a corresponding further reflectance of the portion of the target object; and
determining the index by determining a predetermined relationship between the first and further reflectances.

### Claim 4 (depends on 2)

The method as claimed in claim 2, wherein the index of reflectance is a Normalised Differenced Vegetation Index (NDVI) or a Photochemical Reflectance Index (PRI).

### Claim 5 (depends on 1)

The method as claimed in claim 1 further comprising:
modifying allocated values of reflectance for each of the digital numbers in the further set, whereby values below 0% reflectance are set to 0% reflectance and values above 100% reflectance are set to 100% reflectance.

### Claim 6 (depends on 1)

The method as claimed in claim 1 wherein a predetermined reflectance characteristic of a reference object is a reflectance, for a selected wavelength range, of the reference object.

### Claim 7 (depends on 1)

The method as claimed in claim 1 wherein each portion of a target object comprises at least one region of interest.

### Claim 8 (depends on 1)

The method as claimed in claim 1 wherein a selected wavelength range of electromagnetic (EM) radiation is selected from a wavelength range of visible red light or from a wavelength range of near-infrared (NIR) light.

### Claim 9

An apparatus for determining a reflectance, of at least a portion of a target object, in at least one selected wavelength range of electromagnetic (EM) radiation, comprising:
at least one digital camera arrangement, each configured to capture a digital image that is a digital representation of a scene including the at least one target object and a plurality of reference objects, and that each provide respective output image data that comprises digital numbers that are responsive to radiation, in only a selected wavelength range, incident at a sensing plane of the digital camera arrangement, wherein the output image data comprises gamma encoded data; and
a processor configured to process the respective output image data by performing the steps of:
determining a pre-transformation relationship between a first set of the digital numbers and a first set of respective predetermined reflectance characteristics of the reference objects, wherein the first set of digital numbers coincide with the digital numbers corresponding to the reference objects and wherein the pre-transformation relationship is non-linear;
determining a post-transformation relationship between the first set of the digital numbers and the first set of the respective predetermined reflectance characteristics of the reference objects, wherein the post-transformation relationship is linear;
extrapolating the post-transformation relationship to a further set of digital numbers that coincide with the digital numbers corresponding to a remainder of the scene excluding the reference objects;
responsive to extrapolation of the post-transformation relationship, transforming the further set of digital numbers to allocate a value of reflectance for each of the digital numbers in the further set;
for at least a portion of the target object, determining a corresponding first group of allocated values of reflectance; and
responsive to the first group of allocated values, determining a reflectance of the portion of the target object.

### Claim 10 (depends on 9)

The apparatus as claimed in claim 9 further comprising a memory for storing and selectively providing:
the respective output image data, provided by each digital camera arrangement, to the processor; and
data output by the processor.

### Claim 11 (depends on 9)

The apparatus as claimed in claim 9 further comprising:
a plurality of reference objects each having respective non-identical predetermined reflectance characteristics.

### Claim 12 (depends on 9)

The apparatus as claimed in claim 9, wherein the digital camera arrangement comprises at least one digital camera and optionally a Raspberry Pi Camera Module, for example a Raspberry Pi Camera Module V2, and/or a Raspberry Pi NoIR Camera Module, for example a Raspberry Pi Camera Module NoIR V2.

### Claim 13 (depends on 9)

The apparatus as claimed in claim 9, wherein the digital camera arrangement comprises a plurality of electromagnetic radiation filters.

### Claim 14 (depends on 13)

The apparatus as claimed in claim 13 wherein at least one of the plurality of electromagnetic radiation filters comprises a near infrared (NIR) light filter and at least of one of the plurality of electromagnetic radiation filters comprises a blue optical filter.

### Claim 15 (depends on 9)

The apparatus as claimed in claim 9 wherein the digital camera arrangement comprises a single-board computer.

### Claim 16 (depends on 15)

The apparatus as claimed in claim 15 wherein the single-board computer is a Raspberry Pi computer and optionally is a Raspberry Pi 3 or a Raspberry Pi 4.

### Claim 17 (depends on 9)

The apparatus as claimed in claim 9 wherein the digital camera arrangement comprises a part of a handheld device.

### Claim 18 (depends on 9)

The apparatus as claimed in claim 9, wherein the digital camera arrangement is mounted to an unmanned aerial vehicle (UAV), optionally an unmanned quadcopter or a drone, or a manned aerial vehicle, optionally an aeroplane or a helicopter, or a piece of agricultural equipment, optionally a tractor or a harvester.
