WGS-to-Cartesian Path Conversion Across Driving Zone Boundaries

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Solution Overview

Problem

Current methods for converting World Geodetic System (WGS) coordinates to cartesian coordinates for semi-autonomous or autonomous driving are inaccurate, computationally intensive, and face issues near zone boundaries, leading to discontinuities and precision problems across long distances and varying latitudes.

Innovation Solution

A method using a modified Bowring conversion with pre-calculated constants for each lane-group segment (LGS) to calculate global cartesian path coordinates, allowing accurate conversion and navigation across large distances and boundaries without excessive computational overhead.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If UTM conversion is used to project WGS coordinates to cartesian coordinates, then the conversion can be performed, but it becomes computationally cumbersome and causes accuracy problems near zone boundaries

Engineering Contradiction:
Improvecoordinate conversion accuracyVSAvoidconversion computational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent divides the path into multiple lane-group segments (LGSs), each with its own origin and pre-calculated constants. This segmentation allows the conversion to be performed locally for each segment rather than globally, reducing computational complexity while maintaining accuracy across zone boundaries.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent pre-calculates constants (including second and third-order terms) for each LGS origin before the vehicle reaches that segment. This preliminary action eliminates the need for complex real-time calculations during navigation, reducing computational burden while maintaining precision.

Inventive Principle:
Principle #10Preliminary action

2Device complexity

If Bowring conversion is used to reduce computational complexity, then the conversion becomes less cumbersome, but it requires second and third-order terms to address northings at different latitudes and begins to have problems over longer distances

Engineering Contradiction:
Improveconversion computational complexityVSAvoidcoordinate conversion accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent applies local quality by pre-calculating specific constants (including second and third-order terms) for each LGS origin based on its latitude. This allows the simplified Bowring conversion to maintain accuracy at different latitudes without requiring complex global calculations, as each segment has its own locally-optimized constants.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

By dividing the path into multiple LGSs with各自的 pre-calculated constants, the patent enables the use of simplified Bowring conversion locally while maintaining overall accuracy across long distances. Each segment's local constants compensate for latitude variations without requiring complex global transformations.

Inventive Principle:
Principle #1Segmentation

3Device complexity

If standard Bowring method is used without pre-calculated constants, then the conversion is simpler, but it cannot maintain precision over long distances and across varying latitudes

Engineering Contradiction:
Improveconversion method simplicityVSAvoidnavigation accuracy over long distances
Core Design Contradiction:
Device complexityVSReliability

Solution Approach 1:

The patent pre-calculates constants including second and third-order terms for each LGS origin before navigation. This preliminary preparation maintains the simplicity of the Bowring conversion method during real-time operation while ensuring accuracy over long distances and varying latitudes through the pre-computed correction terms.

Inventive Principle:
Principle #10Preliminary action

Data Source

PatentUS11976926B2World geodetic system to cartesian coordinate conversion for driving
Publication Date: 2024.05.07 APTIV TECHNOLOGIES AG
  • US11976926B2 patent drawing
  • US11976926B2 patent drawing
  • US11976926B2 patent drawing

AI summary

Methods and systems are described that enable world geodetic system (WGS) to cartesian coordinate conversion for driving. A path of a vehicle comprising lane-group segments (LGSs) is received. The LGSs comprise respective origins in WGS coordinates, respective path points in WGS coordinates; and respective groups of constants. For a first of the LGSs, global cartesian path coordinates are calculated, based on modified Bowring techniques, for the path points of the first LGS. The coordinates are calculated using the constants of the first LGS and respective differences between the path points of the first LGS and an origin of the first LGS. The vehicle can navigate along the path using the global cartesian path coordinates calculated for the first LGS. By using modified Bowring techniques and pre-calculated constants for each LGS of the path, accuracy can be maintained over long distances and across boundaries without requiring substantial computational overhead.