Roulette Wheel Defect Detection via Ball Trajectory Analysis
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Solution Overview
Problem
Imperfections in roulette wheels, such as manufacturing defects, wear, and incorrect leveling, can lead to non-random game outcomes as the roulette ball tends to avoid certain areas, affecting the legitimacy and odds of the game.
Innovation Solution
A method and system for identifying defects in a roulette wheel by determining and analyzing the trajectories of a roulette ball, generating a graphical representation of avoided areas to pinpoint regions with defects, using a processor and imaging device to capture and process the ball's movement and generate a heat map indicating defect regions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If the roulette wheel is used without inspection, then the game can proceed without interruption, but defects in the wheel may cause non-random outcomes and skew the odds
Solution Approach 1:
The system performs preliminary inspection of the roulette wheel by analyzing ball trajectories before the wheel is declared defective. Multiple trajectories are captured and analyzed to identify avoided areas, allowing the system to detect defects early while the wheel is still operational, thus maintaining game continuity until defects are confirmed
Solution Approach 2:
The system continuously monitors roulette ball trajectories and provides feedback about wheel condition. By analyzing where balls avoid landing and generating visual representations of defect patterns, the system creates a feedback loop that allows operators to assess wheel health and make informed decisions about when to take the wheel out of service
2Reliability
If the roulette wheel is inspected frequently, then defects can be detected early, but game interruptions increase and productivity decreases
Solution Approach 1:
The system performs partial inspections by analyzing only the necessary trajectory data to detect defects, rather than complete comprehensive examinations. By using statistical analysis of ball landing patterns and identifying avoided areas through visual representations, the system achieves sufficient defect detection with minimal game interruptions
Solution Approach 2:
The system changes the inspection parameters by monitoring multiple ball trajectories over time and analyzing patterns in ball landing positions. By tracking where balls consistently avoid landing and generating heat maps of defect regions, the system can detect defects through parameter changes in ball behavior rather than through frequent physical inspections of the wheel
3Measurement precision
If multiple trajectories are analyzed to improve defect detection accuracy, then the reliability of defect identification increases, but the time and computational resources required increase
Solution Approach 1:
The system creates visual representations (heat maps) that copy and amplify the defect patterns observed in multiple ball trajectories. By generating these visual representations of avoided areas, the system can quickly identify defect locations without manually analyzing each individual trajectory, thus maintaining high detection precision while reducing inspection time
Data Source
AI summary
Systems and methods for identifying defects in a roulette wheel are described. A first trajectory of a roulette ball may be determined after launch of the roulette ball by capturing movement of the roulette ball on the roulette wheel. The roulette wheel has a region where the roulette ball orbits and spins around before the roulette ball falls into a roulette number pocket. The determining step may be repeated to determine additional trajectories, and a plurality of areas that the roulette ball avoided during travel along the trajectories may be identified. A graphical representation of the plurality of avoided areas may be generated to identify regions of the roulette wheel that include defects.