TLcdOrthographic (LuciadLightspeed API documentation)

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:

Serialized Form

Field Summary
- Fields inherited from class com.luciad.projection.ALcdProjection
  fPropertyChangeDispatcher

Constructor Summary

Constructors
Constructor and Description
`TLcdOrthographic()` Constructs an orthographic projection for a sphere with the origin at point `(0.0, 0.0)`.
`TLcdOrthographic(double aLongitude, double aLatitude)` Constructs an orthographic projection for a sphere with the origin at a point `(aLatitude, aLongitude)`.
`TLcdOrthographic(ILcdPoint aOrigin)` Constructs an orthographic projection for a sphere with the origin at an `ILcdPoint` `aOrigin`.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`double[][]`	`boundaryLats(double aLon)` Default implementation.
`double[][]`	`boundaryLons(double aLat)` Default implementation.
`protected void`	`calculateCachedValues()` Constants based on the point of origin of the projection don't have to be recalculated every time a method is called.
`Object`	`clone()` Makes a deep clone of this `ILcdProjection`.
`boolean`	`equals(Object aProjection)` Checks if this `ILcdProjection` equals some other Object.
`int`	`hashCode()`
`boolean`	`inLonLatBounds(ILcdPoint aLLP)` Checks if an `ILcdPoint` is inside the valid area of geodetic coordinates of the projection.
`boolean`	`inWorldBoundsOnEllipsoid(ILcdPoint aXYPoint, ILcdEllipsoid aEllipsoid)` Default implementation calls `inWorldBoundsOnSphere` with `aEllipsoid.getAuxRadius()` as sphere radius.
`boolean`	`inWorldBoundsOnSphere(ILcdPoint aXYPoint, double aRadius)` Checks if a `ILcdPoint` is inside the valid cartesian area of the projection.
`boolean`	`isAllInBounds()` If all geodetic coordinates (l ,j ) are projected (visible) by an `ILcdProjection` and all (x,y ) coordinates are bounded this is `true`.
`boolean`	`isConsiderHeight()` Returns whether the z-coordinate value will be considered when projecting.
`void`	`loadProperties(String aPrefix, Properties aProperty)` Loads the two properties of azimuthal projections.
`void`	`lonlatheight2worldOnEllipsoidSFCT(ILcdPoint aLLHP, ILcdEllipsoid aEllipsoid, ILcd2DEditablePoint aXYPointSFCT)` Default implementation calls `lonlatheight2worldOnEllipsoidSFCT` with `aEllipsoid.getAuxRadius()` as sphere radius.
`void`	`lonlatheight2worldOnSphereSFCT(ILcdPoint aLLHP, double aRadius, ILcd2DEditablePoint aXYPointSFCT)` Transforms an `ILcd2DEditablePoint` on a sphere into the cartesian coordinate system of the projection.
`void`	`setConsiderHeight(boolean aConsiderHeight)` Sets whether the z-coordinate value will be considered when projecting.
`String`	`toString()` Returns the `String` representation of the orthographic projection.
`void`	`world2DEditableBoundsOnEllipsoidSFCT(ILcdEllipsoid aEllipsoid, ILcd2DEditableBounds aWorldBoundsSFCT)` Default implementation calls `world2lonlatOnSphereSFCT` with `aEllipsoid.getAuxRadius()` as sphere radius.
`void`	`world2DEditableBoundsOnSphereSFCT(double aRadius, ILcd2DEditableBounds aWorldBounds)` Sets the `ILcd2DEditableBounds` object to the bounds of the projection in world coordinates.
`void`	`world2lonlatOnEllipsoidSFCT(ILcdPoint aXYPoint, ILcdEllipsoid aEllipsoid, ILcd2DEditablePoint aLLPointSFCT)` Default implementation calls `world2lonlatOnSphereSFCT` with `aEllipsoid.getAuxRadius()` as sphere radius.
`void`	`world2lonlatOnSphereSFCT(ILcdPoint aXYPoint, double aRadius, ILcd2DEditablePoint aLLPSFCT)` Transforms an `ILcdPoint` from the cartesian coordinate system of the projection into an `ILcd2DEditablePoint` onto a sphere.
`void`	`writePropertiesSFCT(String aPrefix, Properties aPropertySFCT)` Writes the two properties of azimuthal projections.

Methods inherited from class com.luciad.projection.ALcdAzimuthal
getOrigin, getOriginLat, getOriginLon, isContinuous, setOriginLat, setOriginLon

Methods inherited from class com.luciad.projection.ALcdProjection
addPropertyChangeListener, firePropertyChangeEvent, removePropertyChangeListener

Methods inherited from class java.lang.Object
finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface com.luciad.util.ILcdPropertyChangeSource
addPropertyChangeListener, removePropertyChangeListener

- Constructor Detail
  - 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 Detail
  - 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(boolean)
  - 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:
    
    isConsiderHeight()
  - 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:
    
    ILcdProjection.inWorldBoundsOnSphere(com.luciad.shape.ILcdPoint, double)
  - 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.

LuciadLightspeedClass TLcdOrthographic

Introduction

Properties

Example

Sample code

Implementation aspects

Field Summary

Fields inherited from class com.luciad.projection.ALcdProjection

Constructor Summary

Method Summary

Methods inherited from class com.luciad.projection.ALcdAzimuthal

Methods inherited from class com.luciad.projection.ALcdProjection

Methods inherited from class java.lang.Object

Methods inherited from interface com.luciad.util.ILcdPropertyChangeSource

Constructor Detail

TLcdOrthographic

TLcdOrthographic

TLcdOrthographic

Method Detail

isConsiderHeight

setConsiderHeight

calculateCachedValues

isAllInBounds

lonlatheight2worldOnEllipsoidSFCT

lonlatheight2worldOnSphereSFCT

world2lonlatOnEllipsoidSFCT

world2lonlatOnSphereSFCT

inLonLatBounds

inWorldBoundsOnEllipsoid

world2DEditableBoundsOnEllipsoidSFCT

boundaryLons

boundaryLats

world2DEditableBoundsOnSphereSFCT

inWorldBoundsOnSphere

loadProperties

writePropertiesSFCT

toString

hashCode

equals

clone