Interface ILcdEllipsoid
- All Superinterfaces:
Serializable
- All Known Implementing Classes:
TLcdEllipsoid
ILcdEllipsoid
represents an ellipsoid. Typically it is defined by:
- a semiMajorRadius (usually represented by the letter a ), and
- a semiMinorRadius (usually represented by the letter b ).
- flattening (shorthand: f ): f = (a - b)/a
- eccentricitySquared: square of the eccentricity: e2 = (a2 - b2 )/a2
- secondEccentricitySquared: square of the eccentricity based on minor axis (also called square of second eccentricity) : e' 2 = (a2 - b2 )/b2
- n = (a - b)/(a + b)
ILcdEllipsoid
also has a name (of the type String) to refer
to it.
Many methods of the ILcdEllipsoid
refer to specialist's
knowledge and will not be explained here. We refer for more information to
following references:
- Map Projections: Theory and Applications , 1990, Pearson
- Coordinate Systems and Map Projections, 2nd edition, 1992, Maling
- Map Projections: A Working Manual , 1987, Snyder
- Map Projections: A Reference Manual , 1995, Bugayevski and Snyder
- ...
-
Method Summary
Modifier and TypeMethodDescriptionvoid
bufferContour2DOf2DPolylineSFCT
(ILcdPointList aPointList, double aWidth, ILcd2DEditablePoint[] a2DEditablePointArraySFCT) Calculates the contour of the buffer/corridor along a givenILcdPointList
at a given width.void
bufferContour2DOfSegmentSFCT
(ILcdPoint aStartPoint, ILcdPoint aEndPoint, double aWidth, ILcd2DEditablePoint[] a2DEditablePointArraySFCT) Calculates the contour of the rectangle defined byaStartPoint
,aEndPoint
, andaWidth
, as an array of 4ILcd2DEditablePoint
objects.void
conformalSphericalLonLatPointSFCT
(ILcdPoint aLLP, ILcd2DEditablePoint aLLPSFCT) The conformal spherical longitude/latitude for a given geodetic longitude/latitude.double
distanceToGeodesic
(ILcdPoint aP1, ILcdPoint aP2, ILcdPoint aP3, double aAngle) Calculates the distance between the geodesicaP1-aP2
and the pointaP3
, at a certain angleaAngle
.boolean
Overrides Object.equals.double
forwardAzimuth2D
(double aLongitude1, double aLatitude1, double aLongitude2, double aLatitude2) Calculates the forward azimuth of the geodesic line fromaP1
toaP2
in radians ! Only the (x,y) coordinates (longitude and latitude) of theILcdPoint
objects are taken into account.double
forwardAzimuth2D
(ILcdPoint aP1, ILcdPoint aP2) Calculates the forward azimuth of the geodesic line fromaP1
toaP2
in radians ! Only the (x,y) coordinates (longitude and latitude) of theILcdPoint
objects are taken into account.default double
geoc2height
(ILcdPoint aXYZGeocPoint) Calculates the height above the ellipsoid for a point defined in an Earth Centered, Earth Fixed XYZ Cartesian coordinate system.void
geoc2llhSFCT
(ILcdPoint aXYZGeocPoint, ILcd3DEditablePoint aLLHPointSFCT) Coordinate conversion between Earth Centered, Earth Fixed XYZ Cartesian coordinate system and latitude-longitude-ellipsoidal height for the ellipsoid.double
geodesicArea
(ILcdPoint[] aPts, int aN) Calculates the geodesic surface area of a polygon given as an array ofILcdPoint
objects.double
geodesicDistance
(double aLongitude1, double aLatitude1, double aLongitude2, double aLatitude2) Calculates the shortest distance between two arbitraryILcdPoint
objectsaP1
andaP2
on the ellipsoid in meters.double
geodesicDistance
(ILcdPoint aP1, ILcdPoint aP2) Calculates the shortest distance between two arbitraryILcdPoint
objectsaP1
andaP2
on the ellipsoid in meters.void
geodesicPointSFCT
(ILcdPoint aPoint, double aDistance, double aAzimuth, ILcd2DEditablePoint aGeodesicPointSFCT) Determines theILcdPoint
aGeodesicPoint
on the geodesic through(aP1.getX(), aP1.getY())
located at a distanceaDistance
and forward azimuthaAzimuth
.void
geodesicPointSFCT
(ILcdPoint aP1, ILcdPoint aP2, double aK, ILcd2DEditablePoint aGeodesicPointSFCT) SetsaGeodesicPointSFCT
to anILcdPoint
on the geodesic line through the pointaP1
and the pointaP2
, located at a fractionaK
of the (shortest) distance betweenaP1
andaP2
.double
Gets the reciprocal of the flattening 1/f.double
getA()
Gets the semiMajorRadius a.double
Radius of auxiliary sphere of the ellipsoid.double
getB()
Gets the semiMinorRadius b.double
Radius of a sphere such that its meridional arc from 0 -> 90 degrees is equal to the corresponding meridional arc on the ellipsoid.double
getE()
Gets the eccentricity e which is always positive.double
getE2()
Gets the eccentricitySquared e2 = (a2 - b2)/a2.double
Gets the secondEccentricitySquared e' 2 = (a2 - b2 )/b2.double
getF()
Gets the flattening f.double
getN()
Gets n = (a - b)/(a + b).getName()
Gets the name of thisILcdEllipsoid
.void
intersection2DLSSFCT
(double aLon1, double aLat1, double aLon2, double aLat2, double aLon3, double aLat3, double aLon4, double aLat4, ILcd2DEditablePoint aLLPSFCT) Calculates the intersection of two geodesic lines going through the given coordinates.void
intersection2DLSSFCT
(ILcdPoint aP1, ILcdPoint aP2, ILcdPoint aP3, ILcdPoint aP4, ILcd2DEditablePoint aLLPSFCT) Calculates the intersection of two geodesic lines going containing the given coordinates.boolean
intersects2DLS
(double aLon1, double aLat1, double aLon2, double aLat2, double aLon3, double aLat3, double aLon4, double aLat4) Checks whether two geodesic line segments with the given coordinates intersect.boolean
intersects2DLS
(ILcdPoint aP1, ILcdPoint aP2, ILcdPoint aP3, ILcdPoint aP4) Checks whether two geodesic line segments intersect.void
inverseConformalSphericalLonLatPointSFCT
(ILcdPoint aLLP, ILcd2DEditablePoint aLLPSFCT) The inverse transformation of the conformal spherical longitude/latitude.boolean
isSphere()
Checks whether ellipsoid is the special case sphere.void
llh2geocSFCT
(ILcdPoint aLLHPoint, ILcd3DEditablePoint aXYZGeocentricPointSFCT) Coordinate conversion between latitude-longitude-ellipsoidal height for the ellipsoid and Earth Centered, Earth Fixed XYZ Cartesian coordinate system.double
meridionalArcDistance
(double aLatitude) Calculates the meridional arc distance in meters.double
meridionalArcDistance
(double aLatitude, double aCosLat, double aSinLat) Calculates the meridional arc distance in meters.double
radiusEuler
(double aLatitude, double aAzimuth) Euler radius of the ellipsoid at a given latitudeaLatitude
and a given azimuthaAzimuth
.double
radiusEuler
(double aLatitude, double aSinLat, double aAzimuth, double aCosAzimuth, double aSinAzimuth) Euler radius of the ellipsoid at a given latitudeaLatitude
and a given azimuthaAzimuth
.double
radiusGaussian
(double aLatitude) The Gaussian curvature radius is the geometric mean of the vertical and the meridional radius.double
radiusGaussian
(double aLatitude, double aSinLat) The Gaussian curvature radius is the geometric mean of the vertical and the meridional radius.double
radiusMeridian
(double aLatitude) Radius of curvature in prime meridian at a given geodetic latitude.double
radiusMeridian
(double aLatitude, double aSinLat) Radius of curvature in prime meridian at a given geodetic latitude.double
radiusVertical
(double aLatitude) Radius of curvature in prime vertical at a given geodetic latitude.double
radiusVertical
(double aLatitude, double aSinLat) Radius of curvature in prime vertical at a given geodetic latitude.double
rhumblineAzimuth2D
(ILcdPoint aP1, ILcdPoint aP2) Calculates the azimuth of the rhumbline fromaP1
toaP2
in degrees! Only the (x,y) coordinates (longitude and latitude) of theILcdPoint
objects are taken into account.double
rhumblineDistance
(ILcdPoint aP1, ILcdPoint aP2) Calculates the distance between two arbitraryILcdPoint
objectsaP1
andaP2
on the ellipsoid in meters following a path with constant azimuth.void
rhumblinePointSFCT
(ILcdPoint aPoint, double aDistance, double aAzimuth, ILcd2DEditablePoint aRhumblinePointSFCT) Determines theILcdPoint
aRhumblinePointSFCT
on the rhumbline (a path with a constant bearing) through(aP1.getX(), aP1.getY())
located at a distanceaDistance
and forward azimuthaAzimuth
.
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Method Details
-
getA
double getA()Gets the semiMajorRadius a.- Returns:
- the SemiMajorRadius a.
-
getB
double getB()Gets the semiMinorRadius b.- Returns:
- the SemiMinorRadius b.
-
get1OverF
double get1OverF()Gets the reciprocal of the flattening 1/f.- Returns:
- the reciprocal of the flattening 1/f.
-
getF
double getF()Gets the flattening f.- Returns:
- the flattening f.
-
getE
double getE()Gets the eccentricity e which is always positive.- Returns:
- the eccentricity e which is always positive.
-
getE2
double getE2()Gets the eccentricitySquared e2 = (a2 - b2)/a2.- Returns:
- the eccentricitySquared e2 = (a2 - b2 )/a2.
-
getEMinor2
double getEMinor2()Gets the secondEccentricitySquared e' 2 = (a2 - b2 )/b2.- Returns:
- the secondEccentricitySquared e' 2 = (a2 - b2 )/b2 .
-
getN
double getN()Gets n = (a - b)/(a + b).- Returns:
- n = (a - b)/(a + b).
-
isSphere
boolean isSphere()Checks whether ellipsoid is the special case sphere.- Returns:
true
if and only if ellipsoid is a sphere.
-
radiusVertical
double radiusVertical(double aLatitude) Radius of curvature in prime vertical at a given geodetic latitude. Commonly referred to with a Greek letter n.- Parameters:
aLatitude
- latitude, in degrees.- Returns:
- the radius of curvature in prime vertical at a given geodetic latitude.
- See Also:
-
radiusVertical
double radiusVertical(double aLatitude, double aSinLat) Radius of curvature in prime vertical at a given geodetic latitude. Commonly referred to with a Greek letter n.- Parameters:
aLatitude
- latitude, in degrees.aSinLat
- the sine of the latitude.- Returns:
- the radius of curvature in prime vertical at a given geodetic latitude.
- See Also:
-
radiusMeridian
double radiusMeridian(double aLatitude) Radius of curvature in prime meridian at a given geodetic latitude.- Parameters:
aLatitude
- latitude, in degrees.- Returns:
- the radius of curvature in prime meridian at a given geodetic latitude.
- See Also:
-
radiusMeridian
double radiusMeridian(double aLatitude, double aSinLat) Radius of curvature in prime meridian at a given geodetic latitude.- Parameters:
aLatitude
- latitude, in degrees.aSinLat
- the sine of the latitude.- Returns:
- the radius of curvature in prime meridian at a given geodetic latitude.
-
meridionalArcDistance
double meridionalArcDistance(double aLatitude) Calculates the meridional arc distance in meters. The length of the arc measured from the plane of the equator to a point at latitudeaLatitude
. Since the earth is represented by a rotational ellipsoid the longitude is irrelevant.- Parameters:
aLatitude
- latitude, in degrees.- Returns:
- the meridional arc distance in meters.
- See Also:
-
meridionalArcDistance
double meridionalArcDistance(double aLatitude, double aCosLat, double aSinLat) Calculates the meridional arc distance in meters. The length of the arc measured from the plane of the equator to a point at latitudeaLatitude
. Since the earth is represented by a rotational ellipsoid the longitude is irrelevant.- Parameters:
aLatitude
- latitude, in degrees.aCosLat
- the cosine of the latitude.aSinLat
- the sine of the latitude.- Returns:
- the meridional arc distance in meters.
-
geodesicDistance
Calculates the shortest distance between two arbitraryILcdPoint
objectsaP1
andaP2
on the ellipsoid in meters. The curve that represents this shortest path is known as the geodesic curve. Only the longitude and the latitude of the two geodetic coordinates are taken into account.- Parameters:
aP1
- start point of geodesic line segment.aP2
- end point of geodesic line segment.- Returns:
- the shortest distance between
aP1
andaP2
on the ellipsoid in meters.
-
geodesicDistance
double geodesicDistance(double aLongitude1, double aLatitude1, double aLongitude2, double aLatitude2) Calculates the shortest distance between two arbitraryILcdPoint
objectsaP1
andaP2
on the ellipsoid in meters.- Parameters:
aLongitude1
- longitude, in degrees, of the start point of the geodesic line segment.aLatitude1
- latitude, in degrees, of the start point of the geodesic line segment.aLongitude2
- longitude, in degrees, of the end point of the geodesic line segment.aLatitude2
- latitude, in degrees, of the end point of the geodesic line segment.- Returns:
- the same as
geodesicDistance(ILcdPoint aP1, ILcdPoint aP2)
ifaP1
would be anILcdPoint
with lon-lat coordinates(aLongitude1,aLatitude1)
andaP2
would be aILcdPoint
with lon-lat coordinates(aLongitude2,aLatitude2)
. - See Also:
-
geodesicArea
Calculates the geodesic surface area of a polygon given as an array ofILcdPoint
objects. The segments of the polygon must not be self-intersecting. Only the longitude and latitude of the coordinates are taken into account.Constraint: (
aN
> 2) and (aPts.length
>aN
).- Parameters:
aPts
- an array ofILcdPoint
objects.aN
-aPts[0..aN-1]
defines the polygon on the ellipsoid.- Returns:
- the geodesic surface area of a polygon on the ellipsoid.
-
forwardAzimuth2D
Calculates the forward azimuth of the geodesic line from
aP1
toaP2
in radians ! Only the (x,y) coordinates (longitude and latitude) of theILcdPoint
objects are taken into account.The forward azimuth lies between [0.0, 2.0*Math.PI], with 0.0 north, clockwise.
- Parameters:
aP1
- start point of the geodesic line segment.aP2
- end point of the geodesic line segment.- Returns:
- the forward azimuth from
aP1
toaP2
in radians!
-
forwardAzimuth2D
double forwardAzimuth2D(double aLongitude1, double aLatitude1, double aLongitude2, double aLatitude2) Calculates the forward azimuth of the geodesic line from
aP1
toaP2
in radians ! Only the (x,y) coordinates (longitude and latitude) of theILcdPoint
objects are taken into account.The forward azimuth lies between [0.0, 2.0*Math.PI], with 0.0 north, clockwise.
- Parameters:
aLongitude1
- longitude, in degrees, of the start point of the geodesic line segment.aLatitude1
- latitude, in degrees, of the start point of the geodesic line segment.aLongitude2
- longitude, in degrees, of the end point of the geodesic line segment.aLatitude2
- latitude, in degrees, of the end point of the geodesic line segment.- Returns:
- the forward azimuth from
(aLongitude1,aLatitude1)
to(aLongitude2,aLatitude2)
in radians!
-
geodesicPointSFCT
void geodesicPointSFCT(ILcdPoint aP1, ILcdPoint aP2, double aK, ILcd2DEditablePoint aGeodesicPointSFCT) SetsaGeodesicPointSFCT
to anILcdPoint
on the geodesic line through the pointaP1
and the pointaP2
, located at a fractionaK
of the (shortest) distance betweenaP1
andaP2
.- Parameters:
aP1
- first 2D point on the ellipsoid[aP1.getX(), aP1.getY()]
.aP2
- second 2D point on the ellipsoid[aP2.getX(), aP2.getY()]
.aK
- fraction between 0.0 and 1.0.aGeodesicPointSFCT
- side effect parameter that contains the result upon return of the method.
-
geodesicPointSFCT
void geodesicPointSFCT(ILcdPoint aPoint, double aDistance, double aAzimuth, ILcd2DEditablePoint aGeodesicPointSFCT) Determines theILcdPoint
aGeodesicPoint
on the geodesic through(aP1.getX(), aP1.getY())
located at a distanceaDistance
and forward azimuthaAzimuth
.- Parameters:
aPoint
-ILcdPoint
on the ellipsoid.aDistance
- distance expressed in meters. If the distance is smaller than 0, this method will return the input point as result.aAzimuth
- forward azimuth expressed in degrees.aGeodesicPointSFCT
- side effect parameter that contains the result upon return of the method.
-
rhumblineDistance
Calculates the distance between two arbitraryILcdPoint
objectsaP1
andaP2
on the ellipsoid in meters following a path with constant azimuth. The curve that represents this path is known as the rhumbline. Only the longitude and the latitude of the two geodetic coordinates are taken into account.- Parameters:
aP1
- start point of rhumbline segment.aP2
- end point of rhumbline segment.- Returns:
- the rhumbline distance between
aP1
andaP2
on the ellipsoid in meters.
-
rhumblineAzimuth2D
Calculates the azimuth of the rhumbline from
aP1
toaP2
in degrees! Only the (x,y) coordinates (longitude and latitude) of theILcdPoint
objects are taken into account.The forward azimuth lies between [0.0, 360.0], with 0.0 north, clockwise.
- Parameters:
aP1
- start point of rhumbline segment.aP2
- end point of rhumbline segment.- Returns:
- the forward azimuth from
aP1
toaP2
in DEGREES!
-
rhumblinePointSFCT
void rhumblinePointSFCT(ILcdPoint aPoint, double aDistance, double aAzimuth, ILcd2DEditablePoint aRhumblinePointSFCT) Determines theILcdPoint
aRhumblinePointSFCT
on the rhumbline (a path with a constant bearing) through(aP1.getX(), aP1.getY())
located at a distanceaDistance
and forward azimuthaAzimuth
.- Parameters:
aPoint
-ILcdPoint
on the ellipsoid.aDistance
- distance expressed in meters.aAzimuth
- forward azimuth expressed in degrees.aRhumblinePointSFCT
-ILcdPoint
on the ellipsoid.
-
conformalSphericalLonLatPointSFCT
The conformal spherical longitude/latitude for a given geodetic longitude/latitude. These lon-lat-points are represented byILcdPoint
objects. A conformal projection is a projection for which the shape of a figure on the earth is preserved on the map. For a thorough understanding the reader is referred to the references.- Parameters:
aLLP
- Geodetic point on the ellipsoid.aLLPSFCT
- Geodetic point on the conformal sphere.
-
inverseConformalSphericalLonLatPointSFCT
The inverse transformation of the conformal spherical longitude/latitude.- Parameters:
aLLP
- Geodetic point on the conformal sphere.aLLPSFCT
- Geodetic point on the ellipsoid.- See Also:
-
geoc2llhSFCT
Coordinate conversion between Earth Centered, Earth Fixed XYZ Cartesian coordinate system and latitude-longitude-ellipsoidal height for the ellipsoid.- Parameters:
aXYZGeocPoint
- geocentric 3D point.aLLHPointSFCT
- lonLatHeight coordinates to be set.
-
geoc2height
Calculates the height above the ellipsoid for a point defined in an Earth Centered, Earth Fixed XYZ Cartesian coordinate system.- Parameters:
aXYZGeocPoint
- geocentric 3D point- Returns:
- the height above the ellipsoid
- Since:
- 2019.0
-
llh2geocSFCT
Coordinate conversion between latitude-longitude-ellipsoidal height for the ellipsoid and Earth Centered, Earth Fixed XYZ Cartesian coordinate system.- Parameters:
aLLHPoint
- lonLatHeight point.aXYZGeocentricPointSFCT
- Geocentric coordinates to be set.
-
radiusEuler
double radiusEuler(double aLatitude, double aAzimuth) Euler radius of the ellipsoid at a given latitudeaLatitude
and a given azimuthaAzimuth
. The euler radius is the mean radius of the spheroidal arc at the given latitude for the given azimuth.- Parameters:
aLatitude
- latitude, in arc degrees.aAzimuth
- azimuth, in RADIANS .- Returns:
- the Euler radius of the ellipsoid at the given latitude.
- See Also:
-
radiusEuler
double radiusEuler(double aLatitude, double aSinLat, double aAzimuth, double aCosAzimuth, double aSinAzimuth) Euler radius of the ellipsoid at a given latitudeaLatitude
and a given azimuthaAzimuth
. The euler radius is the mean radius of the spheroidal arc at the given latitude for the given azimuth.- Parameters:
aLatitude
- latitude, in arc degrees.aSinLat
- the sine of the latitude.aAzimuth
- azimuth, in RADIANS .aCosAzimuth
- the cosine of the azimuth.aSinAzimuth
- the sine of the azimuth.- Returns:
- the Euler radius of the ellipsoid at the given latitude.
-
radiusGaussian
double radiusGaussian(double aLatitude) The Gaussian curvature radius is the geometric mean of the vertical and the meridional radius. See p. 78 of Coordinate Systems and Map Projections , 2nd edition, 1992, Maling. Often used as the basis for conformal spherical calculations.- Parameters:
aLatitude
- latitude, in degrees- Returns:
- the Gaussian curvature radius.
- See Also:
-
radiusGaussian
double radiusGaussian(double aLatitude, double aSinLat) The Gaussian curvature radius is the geometric mean of the vertical and the meridional radius. See p. 78 of Coordinate Systems and Map Projections , 2nd edition, 1992, Maling. Often used as the basis for conformal spherical calculations.- Parameters:
aLatitude
- latitude, in degreesaSinLat
- the sine of the latitude.- Returns:
- the Gaussian curvature radius.
- See Also:
-
getAuxRadius
double getAuxRadius()Radius of auxiliary sphere of the ellipsoid. The simplest choice is to take the semiMajorAxis of the ellipsoid.- Returns:
- The auxRadius value.
-
getConformalRadius
double getConformalRadius()Radius of a sphere such that its meridional arc from 0 -> 90 degrees is equal to the corresponding meridional arc on the ellipsoid.- Returns:
- the radius of a sphere such that its meridional arc from 0 -> 90 degrees is equal to the corresponding meridional arc on the ellipsoid.
-
intersects2DLS
Checks whether two geodesic line segments intersect. Any intersection will always lie on both segments (i.e. between aP1 and aP2, and between aP3 and aP4).Refer to
TLcdEllipsoidUtil.intersectionGeodesicGeodesic(com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.geodesy.ILcdEllipsoid, com.luciad.shape.shape2D.ILcd2DEditablePoint)
for checking the intersection of entire geodesics.- Parameters:
aP1
- start point of the first line segment.aP2
- end point of the first line segment.aP3
- start point of the second line segment.aP4
- end point of the second line segment.- Returns:
true
if the segments intersect each other,false
otherwise.
-
intersects2DLS
boolean intersects2DLS(double aLon1, double aLat1, double aLon2, double aLat2, double aLon3, double aLat3, double aLon4, double aLat4) Checks whether two geodesic line segments with the given coordinates intersect. Any intersection will always lie on both segments (i.e. between the points(aLon1,aLat1)
and(aLon2,aLat2)
, and between(aLon3,aLat3)
and(aLon4,aLat4)
.Refer to
TLcdEllipsoidUtil.intersectionGeodesicGeodesic(com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.geodesy.ILcdEllipsoid, com.luciad.shape.shape2D.ILcd2DEditablePoint)
for checking the intersection of entire geodesics.- Parameters:
aLon1
- longitude of the start point of the first geodesic line segment.aLat1
- latitude of the start point of the first geodesic line segment.aLon2
- longitude of the end point of the first geodesic line segment.aLat2
- latitude of the end point of the first geodesic line segment.aLon3
- longitude of the start point of the first geodesic line segment.aLat3
- latitude of the start point of the first geodesic line segment.aLon4
- longitude of the end point of the first geodesic line segment.aLat4
- latitude of the end point of the first geodesic line segment.- Returns:
true
if geodesic line segments intersect each other,false
otherwise.
-
intersection2DLSSFCT
void intersection2DLSSFCT(ILcdPoint aP1, ILcdPoint aP2, ILcdPoint aP3, ILcdPoint aP4, ILcd2DEditablePoint aLLPSFCT) Calculates the intersection of two geodesic lines going containing the given coordinates. The intersection will always lie on both segments (i.e. between aP1 and aP2, and between aP3 and aP4).Refer to
TLcdEllipsoidUtil.intersectionGeodesicGeodesic(com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.geodesy.ILcdEllipsoid, com.luciad.shape.shape2D.ILcd2DEditablePoint)
for checking the intersection of entire geodesics.- Parameters:
aP1
- start point of the first geodesic line segment.aP2
- end point of the first geodesic line segment.aP3
- start point of the second geodesic line segment.aP4
- end point of the second geodesic line segment.aLLPSFCT
- represents the intersection point on return of the method.- Throws:
RuntimeException
- when the geodesic lines do not intersect.
-
intersection2DLSSFCT
void intersection2DLSSFCT(double aLon1, double aLat1, double aLon2, double aLat2, double aLon3, double aLat3, double aLon4, double aLat4, ILcd2DEditablePoint aLLPSFCT) Calculates the intersection of two geodesic lines going through the given coordinates. Any intersection will always lie on both segments (i.e. between the points(aLon1,aLat1)
and(aLon2,aLat2)
, and between(aLon3,aLat3)
and(aLon4,aLat4)
.Refer to
TLcdEllipsoidUtil.intersectionGeodesicGeodesic(com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.shape.ILcdPoint, com.luciad.geodesy.ILcdEllipsoid, com.luciad.shape.shape2D.ILcd2DEditablePoint)
for checking the intersection of entire geodesics.- Parameters:
aLon1
- longitude of the start point of the first geodesic line segment.aLat1
- latitude of the start point of the first geodesic line segment.aLon2
- longitude of the end point of the first geodesic line segment.aLat2
- latitude of the end point of the first geodesic line segment.aLon3
- longitude of the start point of the first geodesic line segment.aLat3
- latitude of the start point of the first geodesic line segment.aLon4
- longitude of the end point of the first geodesic line segment.aLat4
- latitude of the end point of the first geodesic line segment.aLLPSFCT
- represents the intersection point on return of the method.- Throws:
RuntimeException
- when the geodesic lines do not intersect.
-
distanceToGeodesic
Calculates the distance between the geodesicaP1-aP2
and the pointaP3
, at a certain angleaAngle
. Returns result in degrees.- Parameters:
aP1
- first end point of defined geodesic line.aP2
- seconds end point of defined geodesic line.aP3
- point from which the distance has to be calculated.aAngle
- defines the angle between the geodesic defined byaP3
and the point of crossing and the geodesic defined byaP1
andaP2
. Should be specified in degrees.- Returns:
- the distance in degrees.
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bufferContour2DOfSegmentSFCT
void bufferContour2DOfSegmentSFCT(ILcdPoint aStartPoint, ILcdPoint aEndPoint, double aWidth, ILcd2DEditablePoint[] a2DEditablePointArraySFCT) Calculates the contour of the rectangle defined byaStartPoint
,aEndPoint
, andaWidth
, as an array of 4ILcd2DEditablePoint
objects. The ordering of the points of the contour is clockwise starting from the first point of the rectangle.Because there are only 4 points used to define the contour, the contour representation becomes less accurate when the start and end point are further removed from each other: the connected contour lines no longer lie at the given distance from the axis at each intermediate point. For a more accurate calculation of a buffer contour that uses additional contour points if necessary, please refer to
TLcdEllipsoidUtil#computeBufferContour2D
.- Parameters:
aStartPoint
- start point of buffer segment.aEndPoint
- end point of buffer segment.aWidth
- distance from the line segment to the contour in meters.a2DEditablePointArraySFCT
- an initialized array of 4ILcd2DEditablePoint
objects, which will represent the contour polygon.
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bufferContour2DOf2DPolylineSFCT
void bufferContour2DOf2DPolylineSFCT(ILcdPointList aPointList, double aWidth, ILcd2DEditablePoint[] a2DEditablePointArraySFCT) Calculates the contour of the buffer/corridor along a givenILcdPointList
at a given width. The ordering of the points of the contour is clockwise starting from the first point of the rectangle.This implementation has the following limitations:
- contours with holes (i.e., caused by axis intersections) cannot
be represented, since the contour is modeled as an
ILcd2DEditablePoint
array, - the corners of the contour at the axis points are sharp instead of rounded, which make it less suitable for buffers that have sharp angles between its consecutive axis segments; it has also has as consequence that the distance between the contour and the axis exceeds the given buffer distance in the corners,
- the calculated contour is only an estimate, because it uses a reduced number of contour points; when the start and end point of a segment are further removed from each other, the connected contour lines no longer lie at the given distance from the axis at each intermediate point.
TLcdEllipsoidUtil#computeBufferContour2D
.- Parameters:
aPointList
- the axis of the buffer.aWidth
- distance from the axis to the contour in meters.a2DEditablePointArraySFCT
- an initialized array ofaPointList.getPointCount() * 2
ILcd2DEditablePoint
objects, which will represent the contour polygon.
- contours with holes (i.e., caused by axis intersections) cannot
be represented, since the contour is modeled as an
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equals
Overrides Object.equals. -
getName
String getName()Gets the name of thisILcdEllipsoid
.- Returns:
- the name of this
ILcdEllipsoid
.
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