org.deegree.cs.projections.azimuthal
Class LambertAzimuthalEqualArea

java.lang.Object
  org.deegree.cs.CRSIdentifiable
      org.deegree.cs.projections.Projection
          org.deegree.cs.projections.azimuthal.AzimuthalProjection
              org.deegree.cs.projections.azimuthal.LambertAzimuthalEqualArea

All Implemented Interfaces:

Object, TypedObjectNode, CRSResource, ILambertAzimuthalEqualArea, IProjection

public class LambertAzimuthalEqualArea
extends AzimuthalProjection
implements ILambertAzimuthalEqualArea

The LambertAzimuthalEqualArea projection has following properties (From J.S. Snyder, Map Projections a Working Manual p. 182):

• Azimuthal
• Equal-Area
• All meridians in the polar aspect, the central meridian in other aspects, and the Equator in the equatorial aspect are straight lines
• The outer meridian of a hemisphere in the equatorial aspect (for the sphere) and the parallels in the polar aspect (sphere or ellipsoid) are circles.
• All other meridians and the parallels are complex curves
• Not a perspective projection
• Scale decreases radially as the distance increases from the center, the only point without distortion
• Directions from the center are true for the sphere and the polar ellipsoidal forms.
• Point opposite the center is shown as a circle surrounding the map (for the sphere).
• Used for maps of continents and hemispheres
• presented by lambert in 1772

The difference to orthographic and stereographic projection, comes from the spacing between the parallels. The space decreases with increasing distance from the pole. The opposite pole not visible on either the orthographic or stereographic may be shown on the lambert as a large circle surrounding the map, almost half again as far as the equator from the center. Normally the projectction is not shown beyond one hemisphere (or beyond the equator in the polar aspect).

It is known to be used by following epsg transformations:

• EPSG:3035

Version:

$Revision: 29642 $, $Date: 2011-02-11 13:59:33 +0100 (Fri, 11 Feb 2011) $

Author:

Rutger Bezema, last edited by: $Author: lbuesching $

Field Summary

Fields inherited from class org.deegree.cs.projections.azimuthal.AzimuthalProjection

EQUATOR, NORTH_POLE, OBLIQUE, SOUTH_POLE

Constructor Summary

LambertAzimuthalEqualArea(double falseNorthing, double falseEasting, javax.vecmath.Point2d naturalOrigin, IUnit units)

LambertAzimuthalEqualArea(double falseNorthing, double falseEasting, javax.vecmath.Point2d naturalOrigin, IUnit units, CRSIdentifiable id)

LambertAzimuthalEqualArea(double falseNorthing, double falseEasting, javax.vecmath.Point2d naturalOrigin, IUnit units, double scale)

LambertAzimuthalEqualArea(double falseNorthing, double falseEasting, javax.vecmath.Point2d naturalOrigin, IUnit units, double scale, CRSResource id)

Method Summary

javax.vecmath.Point2d	doInverseProjection(IGeographicCRS geographicCRS, double x, double y) Do an inverse projection from projected (map) coordinates to geographic coordinates.
javax.vecmath.Point2d	doProjection(IGeographicCRS geographicCRS, double lambda, double phi) The actual transform method doing a projection from geographic coordinates to map coordinates.
String	getImplementationName()

Methods inherited from class org.deegree.cs.projections.azimuthal.AzimuthalProjection

getMode, hashCode

Methods inherited from class org.deegree.cs.projections.Projection

equals, getCosphi0, getEccentricity, getEllipsoid, getFalseEasting, getFalseNorthing, getNaturalOrigin, getPrimeMeridian, getProjectionLatitude, getProjectionLongitude, getScale, getScaleFactor, getSemiMajorAxis, getSemiMinorAxis, getSinphi0, getSquaredEccentricity, getUnits, isConformal, isEqualArea, isSpherical, setFalseEasting, setScale, toString

Methods inherited from class org.deegree.cs.CRSIdentifiable

addAreaOfUse, addName, checkForNullObject, checkForNullObject, checkForNullObject, getAreaOfUse, getAreaOfUseBBox, getAreasOfUse, getCode, getCodeAndName, getCodes, getDescription, getDescriptions, getId, getName, getNames, getOrignalCodeStrings, getVersion, getVersions, hasCode, hasId, hasIdOrName, setDefaultAreaOfUse, setDefaultDescription, setDefaultId, setDefaultName, setDefaultVersion

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface org.deegree.cs.projections.IProjection

getCosphi0, getEccentricity, getEllipsoid, getFalseEasting, getFalseNorthing, getNaturalOrigin, getPrimeMeridian, getProjectionLatitude, getProjectionLongitude, getScale, getScaleFactor, getSemiMajorAxis, getSemiMinorAxis, getSinphi0, getSquaredEccentricity, getUnits, isConformal, isEqualArea, isSpherical, setFalseEasting, setScale

Methods inherited from interface org.deegree.cs.CRSResource

addAreaOfUse, addName, getAreaOfUse, getAreaOfUseBBox, getAreasOfUse, getCode, getCodeAndName, getCodes, getDescription, getDescriptions, getName, getNames, getOrignalCodeStrings, getVersion, getVersions, hasCode, hasId, hasIdOrName, setDefaultAreaOfUse, setDefaultDescription, setDefaultId, setDefaultName, setDefaultVersion

Methods inherited from interface org.deegree.commons.tom.Object

getId

Constructor Detail

LambertAzimuthalEqualArea

public LambertAzimuthalEqualArea(double falseNorthing,
                                 double falseEasting,
                                 javax.vecmath.Point2d naturalOrigin,
                                 IUnit units,
                                 double scale,
                                 CRSResource id)

Parameters:

geographicCRS -

falseNorthing -

falseEasting -

naturalOrigin -

units -

scale -

id - an identifiable instance containing information about this projection

LambertAzimuthalEqualArea

public LambertAzimuthalEqualArea(double falseNorthing,
                                 double falseEasting,
                                 javax.vecmath.Point2d naturalOrigin,
                                 IUnit units,
                                 double scale)

Parameters:

geographicCRS -

falseNorthing -

falseEasting -

naturalOrigin -

units -

scale -

LambertAzimuthalEqualArea

public LambertAzimuthalEqualArea(double falseNorthing,
                                 double falseEasting,
                                 javax.vecmath.Point2d naturalOrigin,
                                 IUnit units,
                                 CRSIdentifiable id)

Parameters:

geographicCRS -

falseNorthing -

falseEasting -

naturalOrigin -

units -

id - an identifiable instance containing information about this projection

LambertAzimuthalEqualArea

public LambertAzimuthalEqualArea(double falseNorthing,
                                 double falseEasting,
                                 javax.vecmath.Point2d naturalOrigin,
                                 IUnit units)

Parameters:

geographicCRS -

falseNorthing -

falseEasting -

naturalOrigin -

units -

Method Detail

doInverseProjection

public javax.vecmath.Point2d doInverseProjection(IGeographicCRS geographicCRS,
                                                 double x,
                                                 double y)
                                          throws ProjectionException

Description copied from class: Projection

Do an inverse projection from projected (map) coordinates to geographic coordinates.

Specified by:

doInverseProjection in interface IProjection

Specified by:

doInverseProjection in class Projection

x - coordinate on the map

y - coordinate on the map

Returns:

the projected Point with x = lambda and y = phi;

Throws:

ProjectionException - if the given x and y coordinates could not be inverted to lambda and phi.

doProjection

public javax.vecmath.Point2d doProjection(IGeographicCRS geographicCRS,
                                          double lambda,
                                          double phi)
                                   throws ProjectionException

Description copied from class: Projection

The actual transform method doing a projection from geographic coordinates to map coordinates.

Specified by:

doProjection in interface IProjection

Specified by:

doProjection in class Projection

lambda - the longitude

phi - the latitude

Returns:

the projected Point or Point(Double.NAN, Double.NAN) if an error occurred.

Throws:

ProjectionException - if the given lamba and phi coordinates could not be projected to x and y.

getImplementationName

public String getImplementationName()

Specified by:

getImplementationName in interface IProjection

Specified by:

getImplementationName in class Projection

Returns:

A deegree specific name which will be used for the export of a projection.