Implementation of Spatial Cartesian Coordinate System and Geodetic Coordinate System Conversion Using MATLAB

In practical applications, coordinate conversion between spatial Cartesian coordinate systems and geodetic coordinate systems is frequently required. MATLAB provides robust computational capabilities to implement this transformation efficiently. The conversion process involves sophisticated mathematical formulas and parameters, including ellipsoid parameters (such as semi-major axis and flattening), coordinate axis rotation angles, and geodetic height calculations. For precise implementation, developers can utilize MATLAB's built-in functions like ecef2lla (Earth-Centered Earth-Fixed to Latitude-Longitude-Altitude) and lla2ecef for direct conversions, or custom algorithms based on closed-form solutions like the Bowring method for high-precision requirements. Key parameters such as WGS84 ellipsoid constants (a = 6378137.0 m, f = 1/298.257223563) must be accurately defined in the code. Proper handling of trigonometric functions and iterative calculations for latitude determination ensures numerical stability. Before performing coordinate transformations, comprehensive research and parameter validation are essential to guarantee computational accuracy and reliability, particularly when working with different reference ellipsoids or regional coordinate systems.