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Minimax polynomial ECEF to geodetic coordinate transformation approximations

2024/05/10 by John-Olof Nilsson, Nilsson, John-Olof · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · #FOS: Physical sciences #Geophysics (physics.geo-ph) #Geophysics and Gravity Measurements #Inertial Sensor and Navigation #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.2405.06572

openalex publication_date 2024/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Minimax polynomial ECEF to geodetic coordinate transformation approximations are presented, including often preferable n-vector versions and pseudo-code implementations. The approximations provide high accuracy-to-computational-cost tunability and an unprecedented low latency down to an accuracy of ∼10-5m, which is demonstrated in an extensive benchmark. This sets a new standard for coarse and fast ECEF to geodetic coordinate transformations and opens up a new realm of further improvement opportunities and extensions to other geodetic quantities.

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