Spherically Mounted Retroreflector Runout Error Compensation

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Solution Overview

Problem

Current methods for measuring spherically mounted retroreflectors (SMRs) face challenges due to errors in vertex centering and sphere diameter, leading to measurement inaccuracies, especially with open-air cube corner retroreflectors, which are costly to correct and limit the accuracy of three-dimensional coordinate measurements.

Innovation Solution

The solution involves a spherically mounted retroreflector design with a reference point placed on the SMR to minimize runout error by aligning the axis of symmetry with the beam of light, using a reference ray and reference angle to correct for centering errors, and incorporating a temperature sensor to account for thermal expansions, allowing for more accurate 3D measurements.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If open-air cube corner retroreflectors are used in SMRs, then manufacturing cost is reduced, but measurement precision deteriorates due to vertex centering errors

Engineering Contradiction:
Improvemanufacturing costVSAvoidmeasurement accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent replaces mechanical alignment methods with optical methods. Instead of relying on precise mechanical centering of the cube corner retroreflector vertex, the system uses optical detection to identify the vertex position and calculates correction factors. The laser tracker optically detects the retroreflector position and uses computational algorithms to compensate for centering errors, eliminating the need for expensive mechanical precision in SMR manufacturing.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent changes the approach from controlling physical dimensions to controlling measurement parameters. Instead of requiring the vertex to be mechanically centered within tight tolerances, the system measures the actual vertex position parameters, calculates deviation from the ideal sphere center, and applies computational corrections to the measurement data, transforming a manufacturing precision problem into a data processing solution.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If expensive high-accuracy SMRs are used, then measurement precision is improved, but device complexity and cost increase

Engineering Contradiction:
Improvemeasurement accuracyVSAvoidSMR manufacturing complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent enables the use of inexpensive SMRs by compensating for their imperfections through computational methods. Instead of requiring expensive, precisely manufactured SMRs with accurately centered retroreflectors, the system uses cheap SMRs and corrects their inherent errors through optical detection and mathematical compensation algorithms, making high-precision measurement accessible with standard, affordable equipment.

Inventive Principle:
Principle #27Cheap short-living objects (Disposable)

Solution Approach 2:

The patent introduces computational algorithms as an intermediary between the imperfect SMR and the measurement system. The correction factor calculation software acts as a mediator that translates the raw, error-containing measurements from inexpensive SMRs into accurate measurement data, bridging the gap between low-cost hardware and high-precision measurement requirements.

Inventive Principle:
Principle #24Intermediary (Mediator)

3Ease of manufacture

If the vertex is not precisely centered in the sphere, then manufacturing is easier, but measurement accuracy deteriorates due to runout errors

Engineering Contradiction:
ImproveSMR manufacturing easeVSAvoidcoordinate measurement accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent implements a feedback mechanism where the laser tracker optically detects the actual position of the retroreflector vertex, calculates the deviation from the ideal sphere center position, and uses this feedback information to apply real-time correction factors to the measurements. This closed-loop approach continuously compensates for centering errors without requiring precise mechanical centering during manufacturing.

Inventive Principle:
Principle #23Feedback

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach enhances the accuracy of 3D coordinate measurements by correcting for centering and radius errors, improving the precision of SMR-based measurements without the need for expensive high-accuracy SMRs, and maintaining accuracy across varying temperatures.

Implementation Method 1

The laser tracker sends a laser beam to a retroreflector target. As long as the beam of light strikes the vertex, the beam of returning beam of light retraces the path of the outgoing beam of light back to the tracker.

Methodology Applied
Scientific EffectRetroreflection: Retroreflector

Data Source

PatentUS9347767B2Spherically mounted retroreflector and method to minimize measurement error
Publication Date: 2016.05.24 FARO TECHNOLOGIES INC
  • US9347767B2 patent drawing
  • US9347767B2 patent drawing
  • US9347767B2 patent drawing

AI summary

A spherically mounted retroreflector (SMR) having a reference point placed on a body of the SMR in a fixed and predetermined relationship to a runout error vector as given in a manufacturer's data sheet. A method for aligning the reference point to minimize measurement error.