Reference Marker Pose Detection for Parallel Kinematics

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Solution Overview

Problem

Determining the pose of parallel kinematic systems, such as hexapods, is challenging due to the need for time-consuming numerical methods and the inability to account for influences like offset, deformation, and backlash in existing sensor-based approaches, which often result in low accuracy and require complex setups.

Innovation Solution

Attaching reference markers to the parallel kinematic system ensures that at least one marker is always in the camera's field of view, allowing direct pose determination through image analysis without numerical methods, thereby detecting influences like offset and deformation, and using a single camera for 6 degrees of freedom.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If numerical methods are used to determine pose, then pose determination is possible for parallel kinematic systems, but the process is time-consuming and computationally intensive

Engineering Contradiction:
Improvepose determination accuracyVSAvoidcomputational time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent replaces numerical computation methods with an optical measurement system. Instead of using iterative optimization algorithms to calculate pose from leg lengths and joint angles, the system uses a camera to capture images of reference markers on the movable platform, directly obtaining pose information through image processing. This substitution of mechanical/computational methods with optical measurement eliminates the time-consuming numerical calculations while maintaining accuracy.

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

2Measurement precision

If internal sensors are used to measure leg lengths and joint angles, then pose information can be obtained, but influences like offset, deformation, play and backlash cannot be detected

Engineering Contradiction:
Improvepose determination accuracyVSAvoiddetection of mechanical influences
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent introduces reference markers as intermediaries between the movable platform and the camera. These markers serve as a direct optical reference that is not affected by mechanical influences such as offset, deformation, play, or backlash. By capturing images of these markers and processing them to determine pose, the system obtains accurate position and orientation information without being compromised by the mechanical imperfections that affect internal sensors. The markers act as a pure optical reference that transcends mechanical limitations.

Inventive Principle:
Principle #24Intermediary (Mediator)

3Measurement precision

If multiple external optical sensors are used to measure all degrees of freedom, then measurement coverage is improved, but the number of sensors increases and measuring range is restricted

Engineering Contradiction:
Improvedegrees of freedom measurementVSAvoidnumber of sensors
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent merges the functions of multiple sensors into a single camera system. Instead of using separate sensors for different degrees of freedom, the system uses one camera to capture images of reference markers that encode information about all six degrees of freedom (three positional and three orientational parameters). The image processing algorithm extracts all this information from a single image, effectively combining the measurement capabilities of multiple sensors into one device while maintaining full measurement coverage.

Inventive Principle:
Principle #5Merging (Combining)

4Measurement precision

If photogrammetry is used with multiple images from different positions, then 3D scan accuracy is improved, but the region captured is large and accuracy decreases

Engineering Contradiction:
Improve3D scan accuracyVSAvoidcaptured region size
Core Design Contradiction:
Measurement precisionVSArea of stationary object

Solution Approach 1:

The patent uses reference markers as simplified optical copies or representations of the movable platform's pose. Instead of capturing the entire platform and performing complex 3D reconstruction from multiple images, the system uses small, distinctive markers that directly encode pose information. The camera captures images of these markers, and the reference marker system provides a direct mapping between image coordinates and pose parameters, eliminating the need for large-field-of-view imaging and complex photogrammetrical reconstruction.

Inventive Principle:
Principle #26Copying

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 method provides high accuracy and simplifies pose determination by eliminating the need for complex sensor alignment and numerical calculations, enabling precise position regulation of the movable work platform.

Implementation Method 1

When using 6D measurement technology by way of photogrammetry

Methodology Applied
Scientific EffectPhotogrammetry: Photogrammetry

Implementation Method 2

a marking region with mutually distinguishable markings, where the camera is configured to observe the marking region

Methodology Applied
Scientific EffectLight reflection: Reflection

Data Source

PatentUS12623357B2Pose determination in parallel kinematics systems with reference markers
Publication Date: 2026.05.12 PHYSIK INSTRUMENTE (PI) GMBH & CO KG
  • US12623357B2 patent drawing
  • US12623357B2 patent drawing
  • US12623357B2 patent drawing

AI summary

A parallel kinematic system comprises mutually distinguishable markings which are attached in a marking region to the parallel kinematic system. The marking region is a region of the kinematic system that moves along with the pose of the kinematic system. The markings can be attached in a direction at a distance that ensures that n markings are always fully visible in the direction, and the pose of the parallel kinematic system can be determined based on an image that is captured by the camera and contains at least n markings in the direction. The markings can be attached in a direction at a distance that ensures that n or more markings are fully visible in the direction, the markings are attached in different planes, and the pose of the parallel kinematic system can be determined based on an image that is captured by the camera and contains at least any n markings in the direction.