# US 2018/0024245 A1 · Determining coordinates of a point in three-dimensional space

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- Number: US 2018/0024245 A1
- Document ID: US20180024245A1
- Status: Published application
- Kind: A1
- Application number: 15/650,708
- Filed: 2017-07-14
- Published: 2018-01-25
- Earliest claimed: 2016-07-25
- Assignees: Prologue Systems, LLC
- Applicants: Prologue Systems, LLC
- Inventors: F. SCOTT REED, JR.
- Web page: https://patentgrep.com/patent/US20180024245A1

## CPC

- G01S 17/42: Simultaneous measurement of distance and other co-ordinates (indirect measurement G01S17/46)
- G01S 7/4817: {relating to scanning}
- G01S 7/497: Means for monitoring or calibrating
- G01S: RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES

## Abstract

A method of determining 3D coordinates of a reference point comprises positioning a targeting device comprising an elongated rigid rod having an end point and first and second scanning targets affixed to the rod, the targeting device positioned such that the end point contacts the reference point; scanning the targeting device; determining, using the scan data, (i) 3D coordinates of the center point of the first target and (ii) 3D coordinates of the center point of the second target; and calculating 3D coordinates of the end point based on (i) the 3D coordinates of the center point of the first target, (ii) the 3D coordinates of the center point of the second target, (iii) a distance between the center point of the first target and the end point, and (iv) a distance between the center point of the second target and the end point.

## Claims

### Claim 1

A method of determining 3D coordinates of a reference point, the method comprising:
positioning a targeting device, the targeting device comprising (i) an elongated rigid rod having an end point, (ii) a first scanning target affixed to the rod such that the rod is aligned with a center point of the first scanning target, and (iii) a second scanning target affixed to the rod such that the rod is aligned with a center point of the second scanning target, the targeting device positioned such that the end point contacts the reference point;
scanning the targeting device;
determining, using scan data from the scanning of the targeting device, (i) 3D coordinates of the center point of the first scanning target and (ii) 3D coordinates of the center point of the second scanning target; and
calculating 3D coordinates of the end point based on (i) the 3D coordinates of the center point of the first scanning target, (ii) the 3D coordinates of the center point of the second scanning target, (iii) a distance between the center point of the first scanning target and the end point, and (iv) a distance between the center point of the second scanning target and the end point.

### Claim 2 (depends on 1)

The method of claim 1, further comprising:
calculating a distance between the center point of the first scanning target and the end point based on (i) a distance between the center point of the second scanning target and the end point and (ii) a distance between the center point of the first scanning target and the center point of the second scanning target.

### Claim 3 (depends on 1)

The method of claim 1, further comprising calculating a distance between the center point of the second scanning target and the end point based on (i) a distance between the center point of the first scanning target and the end point and (ii) a distance between the center point of the first scanning target and the center point of the second scanning target.

### Claim 4 (depends on 1)

The method of claim 1, further comprising:
positioning the targeting device such that the end point contacts a calibration point of a calibration target;
scanning the targeting device and the calibration target;
determining, using scan data from the scanning of the targeting device and the calibration target, (i) 3D coordinates of the center point of the first scanning target, (ii) 3D coordinates of the center point of the second scanning target, and (iii) 3D coordinates of the calibration point; and
calculating at least one of (1) the distance between the center point of the first scanning target and the end point and (2) the distance between the center point of the second scanning target and the end point based on (a) the 3D coordinates of the center point of the first scanning target from the scanning of the targeting device and the calibration target, (b) the 3D coordinates of the center point of the second scanning target from the scanning of the targeting device and the calibration target, and (c) the 3D coordinates of the calibration point from the scanning of the targeting device and the calibration target.

### Claim 5 (depends on 1)

The method of claim 1, wherein the first scanning target comprises a first sphere and the second scanning target comprises a second sphere.

### Claim 6

A method of determining 3D coordinates of a reference point, the method comprising:
scanning a targeting device, the targeting device comprising (i) an elongated rigid rod having an end point, (ii) a first scanning target affixed to the rod such that the rod is aligned with a center point of the first scanning target, and (iii) a second scanning target affixed to the rod such that the rod is aligned with a center point of the second scanning target, the targeting device positioned such that the end point contacts the reference point;
determining, using scan data from the scanning of the targeting device, (i) 3D coordinates of the center point of the first scanning target and (ii) 3D coordinates of the center point of the second scanning target; and
calculating 3D coordinates of the end point based on (i) the 3D coordinates of the center point of the first scanning target, (ii) the 3D coordinates of the center point of the second scanning target, (iii) a distance between the center point of the first scanning target and the end point, and (iv) a distance between the center point of the second scanning target and the end point.

### Claim 7 (depends on 6)

The method of claim 6, further comprising:
calculating a distance between the center point of the first scanning target and the end point based on (i) a distance between the center point of the second scanning target and the end point and (ii) a distance between the center point of the first scanning target and the center point of the second scanning target.

### Claim 8 (depends on 6)

The method of claim 6, further comprising calculating a distance between the center point of the second scanning target and the end point based on (i) a distance between the center point of the first scanning target and the end point and (ii) a distance between the center point of the first scanning target and the center point of the second scanning target.

### Claim 9 (depends on 6)

The method of claim 6, further comprising:
positioning the targeting device such that the end point contacts a calibration point of a calibration target;
scanning the targeting device and the calibration target;
determining, using scan data from the scanning of the targeting device and the calibration target, (i) 3D coordinates of the center point of the first scanning target, (ii) 3D coordinates of the center point of the second scanning target, and (iii) 3D coordinates of the calibration point; and
calculating at least one of (1) the distance between the center point of the first scanning target and the end point and (2) the distance between the center point of the second scanning target and the end point based on (a) the 3D coordinates of the center point of the first scanning target from the scanning of the targeting device and the calibration target, (b) the 3D coordinates of the center point of the second scanning target from the scanning of the targeting device and the calibration target, and (c) the 3D coordinates of the calibration point from the scanning of the targeting device and the calibration target.

### Claim 10 (depends on 6)

The method of claim 6, wherein the first scanning target comprises a first sphere and the second scanning target comprises a second sphere.

### Claim 11

A method of determining 3D coordinates of a reference point, the method comprising:
receiving scan data from a scan of a targeting device, the targeting device comprising (i) an elongated rigid rod having an end point, (ii) a first scanning target affixed to the rod such that the rod is aligned with a center point of the first scanning target, and (iii) a second scanning target affixed to the rod such that the rod is aligned with a center point of the second scanning target, the targeting device positioned such that the end point contacts the reference point;
determining, using the received scan data from the scanning of the targeting device, (i) 3D coordinates of the center point of the first scanning target and (ii) 3D coordinates of the center point of the second scanning target; and
calculating 3D coordinates of the end point based on (i) the 3D coordinates of the center point of the first scanning target, (ii) the 3D coordinates of the center point of the second scanning target, (iii) a distance between the center point of the first scanning target and the end point, and (iv) a distance between the center point of the second scanning target and the end point.

### Claim 12 (depends on 11)

The method of claim 11, further comprising:
calculating a distance between the center point of the first scanning target and the end point based on (i) a distance between the center point of the second scanning target and the end point and (ii) a distance between the center point of the first scanning target and the center point of the second scanning target.

### Claim 13 (depends on 11)

The method of claim 11, further comprising calculating a distance between the center point of the second scanning target and the end point based on (i) a distance between the center point of the first scanning target and the end point and (ii) a distance between the center point of the first scanning target and the center point of the second scanning target.

### Claim 14 (depends on 11)

The method of claim 11, further comprising:
receiving scan data from a scan of a targeting device and a calibration target, the targeting device positioned such that the end point contacts a calibration point of the calibration target;
determining, using the received scan data from the scanning of the targeting device and the calibration target, (i) 3D coordinates of the center point of the first scanning target, (ii) 3D coordinates of the center point of the second scanning target, and (iii) 3D coordinates of the calibration point; and
calculating at least one of (1) the distance between the center point of the first scanning target and the end point and (2) the distance between the center point of the second scanning target and the end point based on (a) the 3D coordinates of the center point of the first scanning target from the scanning of the targeting device and the calibration target, (b) the 3D coordinates of the center point of the second scanning target from the scanning of the targeting device and the calibration target, and (c) the 3D coordinates of the calibration point from the scanning of the targeting device and the calibration target.

### Claim 15 (depends on 11)

The method of claim 11, wherein the first scanning target comprises a first sphere and the second scanning target comprises a second sphere.
