Polygonal Route Segmentation for Fast Position Checking

The patent segments the route into a plurality of adjacent polygonal forms, transforming a complex continuous trajectory into discrete manageable areas. This segmentation allows the system to check if an element is inside any polygon by dividing the route into smaller units, reducing the complexity of the overall determination process while maintaining accuracy.

Instead of checking if a point is inside a complex polygon using traditional ray-casting methods, the patent inverts the approach by checking if the point is inside any of the simpler adjacent polygonal forms that make up the route. This inversion simplifies the computational geometry problem by working with decomposed shapes rather than a single complex polygon.

By segmenting the route into adjacent polygonal forms, the patent reduces the computational burden on the processing unit. Instead of performing complex ray-casting calculations against a single large polygon, the system checks against multiple smaller polygons, which can be done with simpler, less expensive processing hardware while maintaining reliability.

The patent employs a simpler processing approach that does not require expensive robust processing units. By using the polygonal segmentation method with basic intersection checking, the system achieves reliable position determination with more economical processing hardware, effectively replacing costly complex processors with cheaper simpler ones.

The patent segments the route into adjacent polygonal forms, which allows for faster position checking. By dividing the route into smaller polygons, the system can quickly determine if an element is inside any polygon using simple boundary checks rather than complex mathematical calculations, significantly reducing processing time while maintaining precision.

The patent performs preliminary segmentation of the route into polygonal forms before the actual position checking occurs. This pre-processing step organizes the route data into a structure that enables rapid intersection testing, avoiding the need for complex real-time calculations and reducing the time loss during position determination.

The patent uses segmentation to transform the problem into one that can be solved by simple processing units. By dividing the route into adjacent polygonal forms and checking for simple boundary intersections, the system achieves accurate position determination using basic processing capabilities without requiring complex mathematical computations.

The patent replaces complex mathematical calculation systems with a geometric segmentation approach. Instead of using robust processors to perform complex ray-casting algorithms, the system uses simple geometric checks against segmented polygons, substituting computational complexity with structural simplicity while maintaining measurement precision.