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A non-iterative and non-singular perturbation solution for transforming Cartesian to geodetic coordinates
16 references·5 citing·12 second hop
A non-iterative and non-singular perturbation solution for transforming Cartesian to geodetic coordinates (2008)A non-iterative and non-singular perturba…Closed-form transformation between geodetic and ellipsoidal coordinates (2008)Closed-form transformation be…Vector methods to compute azimuth, elevation, ellipsoidal normal, and the Cartesian (X, Y, Z) to geodetic (φ, λ, h) transformation (2007)Vector methods to compute azi…Transformation from Cartesian to Geodetic Coordinates Accelerated by Halley’s Method (2006)Transformation from Cartesian…An alternative algebraic algorithm to transform Cartesian to geodetic coordinates (2005)An alternative algebraic algo…Computing geodetic coordinates from geocentric coordinates (2004)Computing geodetic coordinate…New solutions for the geodetic coordinate transformation (2002)New solutions for the geodeti…Iterative vector methods for computing geodetic latitude and height from rectangular coordinates (2002)Iterative vector methods for …Direct transformation from geocentric coordinates to geodetic coordinates (2002)Direct transformation from ge…Transformation of Cartesian to Geodetic Coordinates without Iterations (2000)Transformation of Cartesian t…Fast transform from geocentric to geodetic coordinates (1999)Fast transform from geocentri…Transformation from geocentric to geodetic coordinates using Newton's iteration (1995)Transformation from geocentri…Accurate algorithms to transform geocentric to geodetic coordinates (1989)Accurate algorithms to transf…Closed formulae for transformation of the cartesian coordinate system into a system of geodetic coordinates (1985)Closed formulae for transform…A new algorithm for the computation of the geodetic coordinates as a function of earth-centered earth-fixed coordinates (1985)A new algorithm for the compu…Geodesy, the concepts (1982)Geodesy, the conceptsTRANSFORMATION FROM SPATIAL TO GEOGRAPHICAL COORDINATES (1976)TRANSFORMATION FROM SPATIAL T…A new algebraic solution for transforming Cartesian to geodetic coordinates (2022)A new algebraic solution for …Cartesian to geodetic coordinates conversion on an oblate spheroid using the bisection method (2019)Cartesian to geodetic coordin…An optimized method to transform the Cartesian to geodetic coordinates on a triaxial ellipsoid (2019)An optimized method to transf…Universal Algorithm for Inverting the Cartesian to Geodetic Transformation (2011)Universal Algorithm for Inver…A symbolic analysis of Vermeille and Borkowski polynomials for transforming 3D Cartesian to geodetic coordinates (2009)A symbolic analysis of Vermei…A note on computation of Geodetic coordinates from geocentric (Cartesian) coordinates (1973)Transforming Cartesian Coordinates X, Y, Z to Geographical Coordinates φ, λ, h (1999)Cartesian to geodetic coordinates conversion on a triaxial ellipsoid (2011)Manuscripta Geodaetica (1976)An analytical method to transform geocentric into geodetic coordinates (2010)Understanding Map Projections (2001)Conversion between Cartesian and geodetic coordinates on a rotational ellipsoid by solving a system of nonlinear equations (2011)Transforming ellipsoidal heights and geoid undulations between different geodetic reference frames (2007)Vector method to compute the Cartesian (X, Y, Z) to geodetic ( $${\phi}$$ , λ, h) transformation on a triaxial ellipsoid (2008)THE ACCURACY OF GEODETIC LATITUDE AND HEIGHT EQUATIONS (1985)A Comparative Analysis of the Performance of Iterative and Non-iterative Solutions to the Cartesian to Geodetic Coordinate Transformation (2003)An iterative algorithm to compute geodetic coordinates (2010)
this work references cited by second hop

References

  • 1982Geodesy, the concepts286 cited
  • 1976TRANSFORMATION FROM SPATIAL TO GEOGRAPHICAL COORDINATES119 cited
  • 1989Accurate algorithms to transform geocentric to geodetic coordinates101 cited
  • 2002Direct transformation from geocentric coordinates to geodetic coordinates81 cited
  • 2008Closed-form transformation between geodetic and ellipsoidal coordinates64 cited
  • 1999Fast transform from geocentric to geodetic coordinates64 cited
  • 2006Transformation from Cartesian to Geodetic Coordinates Accelerated by Halley’s Method53 cited
  • 1995Transformation from geocentric to geodetic coordinates using Newton's iteration46 cited
  • 2000Transformation of Cartesian to Geodetic Coordinates without Iterations42 cited
  • 2005An alternative algebraic algorithm to transform Cartesian to geodetic coordinates37 cited
  • 2004Computing geodetic coordinates from geocentric coordinates35 cited
  • 1985Closed formulae for transformation of the cartesian coordinate system into a system of geodetic coordinates26 cited
  • 2002Iterative vector methods for computing geodetic latitude and height from rectangular coordinates26 cited
  • 2002New solutions for the geodetic coordinate transformation26 cited
  • 2007Vector methods to compute azimuth, elevation, ellipsoidal normal, and the Cartesian (X, Y, Z) to geodetic (φ, λ, h) transformation

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21 cited
  • 1985A new algorithm for the computation of the geodetic coordinates as a function of earth-centered earth-fixed coordinates21 cited
  • Cited by

    • 2019Cartesian to geodetic coordinates conversion on an oblate spheroid using the bisection method10 cited
    • 2009A symbolic analysis of Vermeille and Borkowski polynomials for transforming 3D Cartesian to geodetic coordinates9 cited
    • 2019An optimized method to transform the Cartesian to geodetic coordinates on a triaxial ellipsoid7 cited
    • 2022A new algebraic solution for transforming Cartesian to geodetic coordinates3 cited
    • 2011Universal Algorithm for Inverting the Cartesian to Geodetic Transformation3 cited