Homography Matrices for AR Temperature Calibration

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Solution Overview

Problem

Virtual and augmented reality viewing systems face challenges in temperature calibration, with heat aggregation leading to non-uniform temperature distribution and color separation issues, causing calibration drift and reduced performance during startup and temperature changes.

Innovation Solution

A viewing system that employs a storage device with homography transformation matrices for different temperatures, a temperature sensor, and a matrix selector to calculate geometric changes, enabling real-time rendering adjustments to maintain accurate 3D perception and color alignment.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If the viewing system is calibrated at a steady state operating temperature, then the color separation and geometric accuracy are optimized at that temperature, but the system requires significant warm-up time (several dozens of minutes) to reach calibration temperature from room temperature

Engineering Contradiction:
Improvecolor separation accuracyVSAvoidwarm-up time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The system performs calibration at multiple temperatures in advance during manufacturing, storing calibration data for different temperature states. This preliminary calibration action eliminates the need for long warm-up periods, as the system can immediately apply pre-computed calibration parameters based on current temperature sensor readings

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The system dynamically adjusts calibration parameters based on real-time temperature measurements. Instead of using a fixed calibration, the system selects from multiple pre-stored calibration sets corresponding to different temperatures, enabling continuous adaptation without requiring the system to reach a specific steady-state temperature

Inventive Principle:
Principle #15Dynamics

2Ease of operation

If the viewing system operates at varying temperatures, then the system is more versatile and usable immediately, but color separation increases and geometric accuracy degrades as the system heats up

Engineering Contradiction:
Improveimmediate usabilityVSAvoidcolor alignment accuracy
Core Design Contradiction:
Ease of operationVSReliability

Solution Approach 1:

The system incorporates temperature sensors that continuously monitor the thermal state and provide feedback to the processing unit. Based on this feedback, the system automatically selects the appropriate calibration parameters from pre-stored sets, maintaining color alignment accuracy across varying temperatures without requiring manual intervention or warm-up periods

Inventive Principle:
Principle #23Feedback

Solution Approach 2:

The system changes calibration parameters based on temperature conditions. Multiple calibration sets with different geometric and color correction parameters are stored for different temperature ranges, and the system transitions between these parameter sets as temperature changes, maintaining optimal performance across the operating temperature range

Inventive Principle:
Principle #35Parameter changes

3Reliability

If multiple calibration sets for different temperatures are stored, then the system can dynamically adjust to temperature changes, but the storage requirements and data processing complexity increase

Engineering Contradiction:
Improvetemperature compensation accuracyVSAvoidcalibration data management
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The calibration data is segmented into discrete temperature-based sets, each containing correction parameters for specific temperature ranges. This segmentation allows the processing unit to efficiently select and apply appropriate calibration parameters without managing a continuous, complex calibration model, reducing computational overhead while maintaining accuracy

Inventive Principle:
Principle #1Segmentation

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

The system effectively reduces binocular and monocular verification errors by dynamically adjusting to temperature changes, ensuring consistent and accurate 3D rendering across varying temperatures, thus improving user experience and system performance.

Implementation Method 1

A viewing system that employs a storage device with homography transformation matrices for different temperatures, a temperature sensor, and a matrix selector

Methodology Applied
Scientific EffectTemperature sensing:

Data Source

PatentEP3804306B1Homography transformation matrices based temperature calibration of a viewing system
Publication Date: 2023.12.27 MAGIC LEAP INC
  • EP3804306B1 patent drawingFigure 1
  • EP3804306B1 patent drawingFigure 2
  • EP3804306B1 patent drawingFigure 3

AI summary

A calibration set is stored on a storage device, including a plurality of temperatures and a plurality of homography transformation matrices, each respective homography transformation matrix being for a respective temperature. A temperature is detected. A respective one of the homography transformation matrices is selected for a temperature matching the temperature. A geometric change is calculated based on the selected homography relationship. Data representing local content is received. A rendering of the local content is generated based on the geometric change and displayed to a user.