Queue Analysis Using Adaptive Interval Thresholds
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Solution Overview
Problem
Conventional queue analyzing methods use fixed interval and time thresholds, leading to misjudgments about whether a rear object belongs to a front object's queue, especially when the interval exceeds the threshold due to temporary movements or distances, causing potential queue breakage.
Innovation Solution
The method computes the angle difference and interval between objects, transforms the original interval threshold into an amended threshold based on these factors, and compares it to determine if the rear object belongs to the front object's queue, using formulas that adjust the threshold based on angle, staying period, and gathered object amount to prevent misjudgment.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If a fixed interval threshold is used to determine queue membership, then the queue analysis is simple and fast, but the accuracy deteriorates when objects temporarily increase their interval due to movements or distances
Solution Approach 1:
The patent transforms the fixed interval threshold into a dynamic threshold that adapts based on the angle difference between objects. The amended threshold is calculated as: original threshold × (1 + k × cos(angle difference)), where k is a weighting coefficient. This allows the threshold to automatically adjust when objects are at different angles, preventing false negatives while maintaining processing efficiency.
Solution Approach 2:
The patent changes the parameter of the interval threshold from a fixed value to a variable value that depends on the angle difference. By introducing this parameter transformation, the system can accommodate temporary increases in interval caused by object movements without misjudging queue membership, thus resolving the contradiction between simplicity and accuracy.
2Device complexity
If a fixed time threshold is used to determine queue membership, then the analysis process is simple, but the accuracy deteriorates when objects stay in place due to temporary distances or movements
Solution Approach 1:
The patent makes the time threshold dynamic by adjusting it based on the angle difference between objects. The amended time threshold is calculated as: original threshold × (1 + k × cos(angle difference)). This dynamic adjustment allows the system to accommodate temporary increases in time interval due to object movements or distances, preventing false negatives while maintaining process simplicity.
Solution Approach 2:
The patent transforms the fixed time threshold into a variable threshold that adapts to the angle difference parameter. This parameter change enables the system to accurately determine queue membership even when objects temporarily increase their time interval, resolving the contradiction between simplicity and accuracy.
3Reliability
If the interval threshold is strictly enforced, then false positive rate is low, but false negative rate increases when objects are temporarily distant or facing differently
Solution Approach 1:
The patent introduces a parameter transformation that adjusts the threshold based on angle difference. The amended threshold formula (original threshold × (1 + k × cos(angle difference))) allows the system to maintain low false positive rates while reducing false negatives by adapting the threshold to the spatial relationship between objects, thus resolving the contradiction between reliability and precision.
Solution Approach 2:
The patent makes the threshold dynamic rather than fixed, allowing it to adapt to different spatial configurations. This dynamic adjustment prevents false negatives when objects are temporarily distant or facing differently, while maintaining the strictness needed to avoid false positives, thus resolving the contradiction between reliability and precision.
Data Source
AI summary
A queue analyzing method is applied to an image monitoring apparatus for determining whether a rear object belongs to a queue of a front object. The queue analyzing method includes computing an angle difference and an interval between the rear object and the front object, transforming an original interval threshold into an amended interval threshold via the angle difference, comparing the interval with the amended interval threshold, and determining the rear object and the front object belong to the same queue when the interval is smaller than the amended interval threshold.