Line Marking Head Positioning via Cumulative Model Updates
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Solution Overview
Problem
Existing line marking technologies, such as those using differential GPS or IMU, can result in inaccuracies leading to zig-zag patterns due to minor errors in position fixes, which are not effectively corrected by lateral movement of the line marking head.
Innovation Solution
A method involving a line marking apparatus with a positioning system and a mathematical model that updates in real-time using primary and secondary positioning systems, allowing for cumulative adjustments to ensure accurate line marking by predicting a mean line, smoothing out inaccuracies through least squares curve fitting and using a preliminary line for initial guidance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If differential GPS positioning system is used to determine the geographical location of the line marking head, then the line can be positioned in the desired geographical location, but position fixes may be located to one side or the other of the desired line resulting in a zig-zag appearance
Solution Approach 1:
The patent applies preliminary action by following a preliminary line corresponding to an initial mathematical model before marking the final line. This preliminary traversal collects position fixes that are used to update and refine the mathematical model, ensuring that when the actual line marking occurs, the model already accounts for accumulated positioning data and is more accurate.
Solution Approach 2:
The patent implements feedback by continuously updating the mathematical model in response to position fixes obtained during the marking process. The system uses least squares curve fitting to process the position data and adjust the predicted mean line, creating a closed-loop control system that reduces zig-zag patterns by constantly refining the target line position based on actual positioning data.
2Manufacturing precision
If the line marking head is laterally displaceable on the carriage, then minor errors of direction can be corrected, but this requires continuous adjustment by operator or control system
Solution Approach 1:
The patent applies self-service by implementing an automatic control system that continuously monitors position fixes and automatically adjusts the line marking head position based on the updated mathematical model. The system serves itself by autonomously correcting positioning errors without requiring manual intervention, thereby maintaining high line marking accuracy while reducing operational complexity.
3Measurement precision
If least squares curve fitting is used to update the mathematical model, then the mean line can be predicted more accurately, but additional data processing is required
Solution Approach 1:
The patent replaces complex mechanical adjustment systems with computational methods. Instead of using complex mechanical mechanisms to physically adjust the line marking apparatus, the system uses least squares curve fitting algorithms to computationally determine the optimal mean line position, thereby achieving high precision through software rather than complex hardware.
Data Source
AI summary
A method of marking a line includes providing a line marking apparatus including a body (21), a line marking head (29) movable relative to the body, and a positioning system (35, 37, 41, 43) for determining a geographical location of the line marking head. In addition, a mathematical model is provided for a line to be marked by the line marking head, the model being cumulatively updated in response to a position fix (61) obtained by the positioning system. The position of the line marking head is adjusted relative to the body in dependence upon the mathematical model.