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Unigine.Ellipsoid Class

The Ellipsoid class handles the geodetic transformations:

  • Specifies the Ellipsoid settings: semimajor axis, flattening coefficient
  • Performs systems coordinates (ECF, ENU, NED, Geodetic) conversion
  • Solves direct and inverse geodetic problems with different calculation mode (Great Circle and Vincenty algorithms)

This class is used to create an Ellipsoid instance to the GeodeticPivot class.

Here is a code snippet of the Ellipsoid class usage:

Source code (C#)
// define the geodetic origin
dvec3 tomsk_origin = new dvec3(58.49771, 84.97437, 117.0);

// create a new GeodeticPivot object
GeodeticPivot pivot = new GeodeticPivot();

// create a new ellipsoid and specify its settings
Ellipsoid ellipsoid = pivot.getEllipsoid();
ellipsoid.setSemimajorAxis(80000.0f);
ellipsoid.setMode(Ellipsoid.MODE_FAST);

// set the ellipsoid to the pivot
pivot.setOrigin(tomsk_origin);
pivot.setEllipsoid(ellipsoid);

Ellipsoid Class

Properties

double SemiminorEccentricitySqr#

The squared eccentricity calculated along the semiminor axis.

double SemimajorEccentricitySqr#

The squared eccentricity calculated along the semimajor axis.

double MeanRadius#

The mean radius of the ellipsoid.

double SemiminorAxis#

The Semiminor axis of the ellipsoid in units.

int Mode#

The calculation mode int value: 1 if the mode is MODE_ACCURATE, 0 if the mode is MODE_FAST.

double Flattening#

The Flattening coefficient of the ellipsoid.

double SemimajorAxis#

The Semimajor axis length of the ellipsoid in units.

Members


Ellipsoid ( double semimajor_axis, double flattening ) #

Constructor. Creates a new Ellipsoid class instance with given flattening and semimajor axis.

Arguments

  • double semimajor_axis - Semimajor axis.
  • double flattening - Flattening coefficient.

Ellipsoid ( ) #

Constructor. Creates a new Ellipsoid class instance (WGS84 Ellipsoid).

dvec3 GetENUSurfacePoint ( dvec3 geodetic_origin, dvec3 tangent_point ) #

Returns surface point by using tangent point coordinates.
Notice
The Up-axis (Z+) direction in ENU points upward along the ellipsoid normal, while in UNIGINE implementation of ENU it goes from the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).
  • dvec3 tangent_point - Tangent point coordinates to converted (curved) to surface coordinates (offset related to point of junction).

Return value

Surface point coordinates.

dvec3 GetENUTangentPoint ( dvec3 geodetic_origin, dvec3 surface_point ) #

Returns tangent point ENU coordinates based on the geographical coordinates.
Notice
The Up-axis (Z+) direction in ENU points upward along the ellipsoid normal, while in UNIGINE implementation of ENU it goes from the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).
  • dvec3 surface_point - Surface point coordinates to be converted (flatten) to tangent point (offset related to point of junction).

Return value

Tangent point coordinates.

quat GetENUWorldRotation ( dvec3 geodetic_origin ) #

Returns the world rotation quaternion in ENU coordinates.
Notice
The Up-axis (Z+) direction in ENU points upward along the ellipsoid normal, while in UNIGINE implementation of ENU it goes from the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).

Return value

World rotation in ENU coordinates.

dmat4 GetENUWorldTransform ( dvec3 geodetic_origin ) #

Returns the world transformation matrix in ENU coordinates.
Notice
The Up-axis (Z+) direction in ENU points upward along the ellipsoid normal, while in UNIGINE implementation of ENU it goes from the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).

Return value

World transformation matrix in ENU coordinates.

int IsSupported ( ) #

Returns a value indicating if the geodetics feature is enabled.

Return value

1 if the geodetics feature is enabled; otherwise, 0.

dvec3 GetNEDSurfacePoint ( dvec3 geodetic_origin, dvec3 tangent_point ) #

Returns surface point by using tangent point coordinates.
Notice
The Down-axis direction in NED points downward along the ellipsoid normal, while in UNIGINE implementation of NED it goes through the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).
  • dvec3 tangent_point - Tangent point coordinates to converted (curved) to surface coordinates (offset related to point of junction).

Return value

Surface point coordinates.

dvec3 GetNEDTangentPoint ( dvec3 geodetic_origin, dvec3 surface_point ) #

Returns tangent point NED coordinates based on the geographical coordinates.
Notice
The Down-axis direction in NED points downward along the ellipsoid normal, while in UNIGINE implementation of NED it goes through the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).
  • dvec3 surface_point - Surface point coordinates to be converted (flatten) to tangent point (offset related to point of junction).

Return value

Tangent point coordinates.

quat GetNEDWorldRotation ( dvec3 geodetic_origin ) #

Returns the world rotation quaternion in NED coordinates.
Notice
The Down-axis direction in NED points downward along the ellipsoid normal, while in UNIGINE implementation of NED it goes through the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).

Return value

World rotation in NED coordinates.

dmat4 GetNEDWorldTransform ( dvec3 geodetic_origin ) #

Returns the world transformation matrix in NED coordinates.
Notice
The Down-axis direction in NED points downward along the ellipsoid normal, while in UNIGINE implementation of NED it goes through the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).

Return value

World transformation matrix in NED coordinates.

dvec3 SolveGeodeticDirect ( dvec3 geodetic_start, double bearing, double distance ) #

Solves the direct geodetic problem: calculates end point coordinates on the ellipsoid by using given start point, distance between points, and bearing value.

Arguments

  • dvec3 geodetic_start - Start point on the ellipsoid.
  • double bearing - Bearing value.
  • double distance - Distance between two points on the ellipsoid.

void SolveGeodeticInverse ( dvec3 geodetic_start, dvec3 geodetic_end, out double bearing, out double distance ) #

Solves the inverse geodetic problem: calculates distance and bearing values by using given start and end points on the ellipsoid.

Arguments

  • dvec3 geodetic_start - Start point on the ellipsoid.
  • dvec3 geodetic_end - End point on the ellipsoid.
  • out double bearing - Variable to save the calculated bearing value.
  • out double distance - Variable to save the calculated distance value.

dvec3 ToECF ( dvec3 geodetic_coords ) #

Converts geodetic coordinates to Cartesian (ECF).

Arguments

  • dvec3 geodetic_coords - Ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters)) to be converted to Cartesian.

Return value

Cartesian coordinates.

dvec3 ToENU ( dvec3 geodetic_origin, dvec3 geodetic_coords ) #

Converts geodetic coordinates to ENU (East, North, Up).
Notice
The Up-axis (Z+) direction in ENU points upward along the ellipsoid normal, while in UNIGINE implementation of ENU it goes from the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).
  • dvec3 geodetic_coords - Coordinates to be converted to ENU.

Return value

ENU coordinates.

dvec3 ToGeodetic ( dvec3 ecf_coords, int need_alt = 1 ) #

Converts Cartesian (ECF) coordinates to Ellipsoid.

Arguments

  • dvec3 ecf_coords - Cartesian ECF coordinates to be converted.
  • int need_alt - Flag indicating if altitude is to be calculated. 1 to calculate altitude, 0 - to skip altitude calculation.The default value is 1.

Return value

Ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters)

dvec3 ToNED ( dvec3 geodetic_origin, dvec3 geodetic_coords ) #

Converts geodetics coordinates to NED (North, East, Down).
Notice
The Down-axis direction in NED points downward along the ellipsoid normal, while in UNIGINE implementation of NED it goes through the Earth's center.

Arguments

  • dvec3 geodetic_origin - The origin in ellipsoid coordinates (latitude (degrees), longitude (degrees) and altitude (meters).
  • dvec3 geodetic_coords - Coordinates to be converted to NED.

Return value

NED coordinates.
Last update: 13.12.2024
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