Package com.luciad.projection

Class TLcdOrthographic

java.lang.Object
com.luciad.projection.ALcdProjection
com.luciad.projection.ALcdAzimuthal
com.luciad.projection.TLcdOrthographic
All Implemented Interfaces:
ILcdAzimuthal, ILcdProjection, ILcdPropertyChangeSource, Serializable, Cloneable
public class TLcdOrthographic extends ALcdAzimuthal
Orthographic projection.

Introduction

This projection is an Azimuthal projection with a projection point at infinity.

Properties

  • Only a hemisphere can be shown. This is due to the geometry of the projection.
  • There is no distortion exactly at the projection origin and much distortion near the edge of the hemisphere.
  • All meridians and parallels are either ellipses, circles, or straight lines.
  • All great circles through the origin of the projection are shown as straight lines.
  • The projection is neither conformal nor equal-area.
  • The radial scale factor decreases as distance increases from the projection origin.

Example

Sample code


 ILcdProjection projection =
     new TLcdOrthographic(20.0, -50.0);

Implementation aspects

The plotting equations of the orthographic projection are taken from [Snyder1987].

See Also:

  • Constructor Details

    • TLcdOrthographic

      public TLcdOrthographic()
      Constructs an orthographic projection for a sphere with the origin at point (0.0, 0.0).

    • TLcdOrthographic

      public TLcdOrthographic(double aLongitude, double aLatitude)
      Constructs an orthographic projection for a sphere with the origin at a point (aLatitude, aLongitude). The central meridian is at aLongitude.
      Parameters:
      aLongitude - longitude of the origin of the projection, in decimal degrees.
      aLatitude - latitude of the origin of the projection, in decimal degrees.

    • TLcdOrthographic

      public TLcdOrthographic(ILcdPoint aOrigin)
      Constructs an orthographic projection for a sphere with the origin at an ILcdPoint aOrigin. The central meridian is at aOrigin.getX().
      Parameters:
      aOrigin - ILcdPoint of the origin of the projection. aOrigin is cloned within the constructor, so no side effects will happen to the projection as a result from changes to aOrigin.

  • Method Details

    • isConsiderHeight

      public boolean isConsiderHeight()
      Returns whether the z-coordinate value will be considered when projecting. The default value is false.
      Returns:
      whether the z-coordinate value will be considered when projecting.
      See Also:

    • setConsiderHeight

      public void setConsiderHeight(boolean aConsiderHeight)
      Sets whether the z-coordinate value will be considered when projecting.
      Parameters:
      aConsiderHeight - the new considerHeight value.
      See Also:

    • calculateCachedValues

      protected void calculateCachedValues()
      Description copied from class: ALcdAzimuthal
      Constants based on the point of origin of the projection don't have to be recalculated every time a method is called. They only have to be calculated when the projection properties change. Within the methods the pre-calculated values then can be used in order to gain efficiency.
      Overrides:
      calculateCachedValues in class ALcdAzimuthal

    • isAllInBounds

      public boolean isAllInBounds()
      Description copied from interface: ILcdProjection
      If all geodetic coordinates (l ,j ) are projected (visible) by an ILcdProjection and all (x,y ) coordinates are bounded this is true. All ILcdProjection objects have bounded (x,y ) coordinates because the projection is cut off if necessary.
      Returns:
      true if all LonLatPoints are within the bounds of the projection, false otherwise.

    • lonlatheight2worldOnEllipsoidSFCT

      public void lonlatheight2worldOnEllipsoidSFCT(ILcdPoint aLLHP, ILcdEllipsoid aEllipsoid, ILcd2DEditablePoint aXYPointSFCT) throws TLcdOutOfBoundsException
      Description copied from class: ALcdProjection
      Default implementation calls lonlatheight2worldOnEllipsoidSFCT with aEllipsoid.getAuxRadius() as sphere radius.
      Specified by:
      lonlatheight2worldOnEllipsoidSFCT in interface ILcdProjection
      Overrides:
      lonlatheight2worldOnEllipsoidSFCT in class ALcdProjection
      Parameters:
      aLLHP - point to be projected.
      aEllipsoid - ellipsoid on which the point is defined.
      aXYPointSFCT - projected point as side effect.
      Throws:
      TLcdOutOfBoundsException - If the ILcdPoint aLLHP is not within the valid area of the projection (visible area), then this exception is thrown.

    • lonlatheight2worldOnSphereSFCT

      public void lonlatheight2worldOnSphereSFCT(ILcdPoint aLLHP, double aRadius, ILcd2DEditablePoint aXYPointSFCT) throws TLcdOutOfBoundsException
      Description copied from interface: ILcdProjection
      Transforms an ILcd2DEditablePoint on a sphere into the cartesian coordinate system of the projection.
      Parameters:
      aLLHP - point to be projected.
      aRadius - radius of the sphere (meters).
      aXYPointSFCT - projected point as side effect.
      Throws:
      TLcdOutOfBoundsException - If the ILcdPoint aLLHP is not within the valid area of the projection (visible area), then this exception is thrown.

    • world2lonlatOnEllipsoidSFCT

      public void world2lonlatOnEllipsoidSFCT(ILcdPoint aXYPoint, ILcdEllipsoid aEllipsoid, ILcd2DEditablePoint aLLPointSFCT) throws TLcdOutOfBoundsException
      Description copied from class: ALcdProjection
      Default implementation calls world2lonlatOnSphereSFCT with aEllipsoid.getAuxRadius() as sphere radius.
      Specified by:
      world2lonlatOnEllipsoidSFCT in interface ILcdProjection
      Overrides:
      world2lonlatOnEllipsoidSFCT in class ALcdProjection
      Parameters:
      aXYPoint - projected point for which the corresponding geodetic point is sought.
      aEllipsoid - ellipsoid on which the geodetic coordinate is defined.
      aLLPointSFCT - resulting geodetic coordinate as side effect.
      Throws:
      TLcdOutOfBoundsException - If the ILcdPoint aXYPoint is not within the valid area of the projection (visible area), then this exception is thrown.

    • world2lonlatOnSphereSFCT

      public void world2lonlatOnSphereSFCT(ILcdPoint aXYPoint, double aRadius, ILcd2DEditablePoint aLLPSFCT) throws TLcdOutOfBoundsException
      Description copied from interface: ILcdProjection
      Transforms an ILcdPoint from the cartesian coordinate system of the projection into an ILcd2DEditablePoint onto a sphere.
      Parameters:
      aXYPoint - projected point for which the corresponding geodetic point is sought.
      aRadius - radius of the sphere (meters).
      aLLPSFCT - resulting geodetic coordinate as side effect.
      Throws:
      TLcdOutOfBoundsException - If the ILcdPoint aXYPoint is not within the valid area of the projection (visible area), then this exception is thrown.

    • inLonLatBounds

      public boolean inLonLatBounds(ILcdPoint aLLP)
      Description copied from interface: ILcdProjection
      Checks if an ILcdPoint is inside the valid area of geodetic coordinates of the projection. The valid area is determined by the LonLatPoints that are visible and for which the corresponding cartesian coordinate is within the boundaries.
      Parameters:
      aLLP - ILcdPoint to be checked upon.
      Returns:
      true if valid, false if invalid.

    • inWorldBoundsOnEllipsoid

      public boolean inWorldBoundsOnEllipsoid(ILcdPoint aXYPoint, ILcdEllipsoid aEllipsoid)
      Description copied from class: ALcdProjection
      Default implementation calls inWorldBoundsOnSphere with aEllipsoid.getAuxRadius() as sphere radius.
      Specified by:
      inWorldBoundsOnEllipsoid in interface ILcdProjection
      Overrides:
      inWorldBoundsOnEllipsoid in class ALcdProjection
      Parameters:
      aXYPoint - point to be checked upon.
      aEllipsoid - ellipsoid on which the geodetic coordinate is defined.
      Returns:
      true if valid, false if invalid.
      See Also:

    • world2DEditableBoundsOnEllipsoidSFCT

      public void world2DEditableBoundsOnEllipsoidSFCT(ILcdEllipsoid aEllipsoid, ILcd2DEditableBounds aWorldBoundsSFCT)
      Description copied from class: ALcdProjection
      Default implementation calls world2lonlatOnSphereSFCT with aEllipsoid.getAuxRadius() as sphere radius.
      Specified by:
      world2DEditableBoundsOnEllipsoidSFCT in interface ILcdProjection
      Overrides:
      world2DEditableBoundsOnEllipsoidSFCT in class ALcdProjection
      Parameters:
      aEllipsoid - ellipsoid considered.
      aWorldBoundsSFCT - the bounds of the projection in world coordinates as side effect.

    • boundaryLons

      public double[][] boundaryLons(double aLat)
      Description copied from class: ALcdProjection
      Default implementation. To be redefined for specific projections.
      Specified by:
      boundaryLons in interface ILcdProjection
      Overrides:
      boundaryLons in class ALcdProjection
      Parameters:
      aLat - latitude in decimal degrees and -90.0 <= aLat<= 90.0.
      Returns:
      the array of pairs of longitudes[0] and longitudes[1], where the closed interval longitudes[0] -> longitudes[1] is in visible area and -180.0 <= lon[i] <= 180.0.

    • boundaryLats

      public double[][] boundaryLats(double aLon)
      Description copied from class: ALcdProjection
      Default implementation. To be redefined for specific projections.
      Specified by:
      boundaryLats in interface ILcdProjection
      Overrides:
      boundaryLats in class ALcdProjection
      Parameters:
      aLon - longitude in decimal degrees -180.0 <= lon <= 180.0 .
      Returns:
      the array of pairs of latitudes lats[0] and lats[1], where the closed interval lats[0] -> lats[1] is in visible area and -90.0 <= lats[i] <= 90.0 .

    • world2DEditableBoundsOnSphereSFCT

      public void world2DEditableBoundsOnSphereSFCT(double aRadius, ILcd2DEditableBounds aWorldBounds)
      Description copied from interface: ILcdProjection
      Sets the ILcd2DEditableBounds object to the bounds of the projection in world coordinates.
      Parameters:
      aRadius - radius of the sphere.
      aWorldBounds - the bounds of the projection in world coordinates as side effect.

    • inWorldBoundsOnSphere

      public boolean inWorldBoundsOnSphere(ILcdPoint aXYPoint, double aRadius)
      Description copied from interface: ILcdProjection
      Checks if a ILcdPoint is inside the valid cartesian area of the projection. The valid cartesian area is determined naturally by the projection bounds or by an artificial introduced boundary limit because some cartesian points are at infinity. The shape of the valid cartesian area is in many cases rectangular or circular although it might be more complex.
      Parameters:
      aXYPoint - point to be checked upon.
      aRadius - radius of the sphere.
      Returns:
      true if valid, false if invalid.

    • loadProperties

      public void loadProperties(String aPrefix, Properties aProperty) throws IllegalArgumentException
      Description copied from class: ALcdAzimuthal
      Loads the two properties of azimuthal projections. The longitude and latitude of the point of origin of the projection. This method will, given aPrefix, analyze the aProperties object to set the properties of this ALcdAzimuthal. The values of following keys are retrieved:
      • <aPrefix>.originLat
      • <aPrefix>.originLon
      Specified by:
      loadProperties in interface ILcdProjection
      Overrides:
      loadProperties in class ALcdAzimuthal
      Parameters:
      aPrefix - prefix of the property names.
      aProperty - Properties object containing the serialized properties.
      Throws:
      IllegalArgumentException - if the projection cannot be created.

    • writePropertiesSFCT

      public void writePropertiesSFCT(String aPrefix, Properties aPropertySFCT)
      Description copied from class: ALcdAzimuthal
      Writes the two properties of azimuthal projections. The longitude and latitude of the point of origin of the projection. This method will, given aPrefix, store the properties of this ALcdAzimuthal into the aPropertiesSFCT object. The values of following keys are stored:
      • <aPrefix>.originLat
      • <aPrefix>.originLon
      Specified by:
      writePropertiesSFCT in interface ILcdProjection
      Overrides:
      writePropertiesSFCT in class ALcdAzimuthal
      Parameters:
      aPrefix - prefix for the property names.
      aPropertySFCT - Properties object to store the serialized properties by side effect.

    • toString

      public String toString()
      Returns the String representation of the orthographic projection.
      Specified by:
      toString in interface ILcdProjection
      Overrides:
      toString in class Object
      Returns:
      the String representation of the orthographic projection.

    • hashCode

      public int hashCode()
      Overrides:
      hashCode in class ALcdAzimuthal

    • equals

      public boolean equals(Object aProjection)
      Description copied from interface: ILcdProjection
      Checks if this ILcdProjection equals some other Object.
      Specified by:
      equals in interface ILcdProjection
      Overrides:
      equals in class ALcdAzimuthal
      Parameters:
      aProjection - Object to compare with.
      Returns:
      true if the Object is an instance of the same ILcdProjection class and having the same projection properties, false otherwise.

    • clone

      public Object clone()
      Description copied from interface: ILcdProjection
      Makes a deep clone of this ILcdProjection.
      Specified by:
      clone in interface ILcdProjection
      Overrides:
      clone in class ALcdAzimuthal
      Returns:
      deep clone of this ILcdProjection.