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Java Source Code / Java Documentation » GIS » GeoTools 2.4.1 » org.geotools.referencing.operation.projection 
Source Cross Reference  Class Diagram Java Document (Java Doc) 


org.geotools.referencing.operation.projection.MapProjection
   org.geotools.referencing.operation.projection.TransverseMercator

TransverseMercator
public class TransverseMercator extends MapProjection (Code)
Transverse Mercator Projection (EPSG code 9807). This is a cylindrical projection, in which the cylinder has been rotated 90°. Instead of being tangent to the equator (or to an other standard latitude), it is tangent to a central meridian. Deformation are more important as we are going futher from the central meridian. The Transverse Mercator projection is appropriate for region wich have a greater extent north-south than east-west.

The elliptical equations used here are series approximations, and their accuracy decreases as points move farther from the central meridian of the projection. The forward equations here are accurate to a less than a mm ±10 degrees from the central meridian, a few mm ±15 degrees from the central meridian and a few cm ±20 degrees from the central meridian. The spherical equations are not approximations and should always give the correct values.

There are a number of versions of the transverse mercator projection including the Universal (UTM) and Modified (MTM) Transverses Mercator projections. In these cases the earth is divided into zones. For the UTM the zones are 6 degrees wide, numbered from 1 to 60 proceeding east from 180 degrees longitude, and between lats 84 degrees North and 80 degrees South. The central meridian is taken as the center of the zone and the latitude of origin is the equator. A scale factor of 0.9996 and false easting of 500000m is used for all zones and a false northing of 10000000m is used for zones in the southern hemisphere.

NOTE: formulas used below are not those of Snyder, but rather those from the proj4 package of the USGS survey, which have been reproduced verbatim. USGS work is acknowledged here.

References:

  • Proj-4.4.6 available at www.remotesensing.org/proj
    Relevent files are: PJ_tmerc.c , pj_mlfn.c , pj_fwd.c and pj_inv.c .
  • John P. Snyder (Map Projections - A Working Manual, U.S. Geological Survey Professional Paper 1395, 1987).
  • "Coordinate Conversions and Transformations including Formulas", EPSG Guidence Note Number 7, Version 19.

See Also:    Transverse Mercator projection on MathWorld
See Also:    "Transverse_Mercator" on RemoteSensing.org
since:
   2.1
version:
   $Id: TransverseMercator.java 25262 2007-04-23 21:11:16Z desruisseaux $
author:
   André Gosselin
author:
   Martin Desruisseaux
author:
   Rueben Schulz

Inner Class :public static class Provider extends AbstractProvider
Inner Class :public static class Provider_SouthOrientated extends Provider


Constructor Summary
protected  TransverseMercator(ParameterValueGroup parameters)
     Constructs a new map projection from the supplied parameters.

Method Summary
public  booleanequals(Object object)
     Compares the specified object with this map projection for equality.
public  doublegetCentralMeridian()
     Convenience method returning the meridian in the middle of current zone.
public  ParameterDescriptorGroupgetParameterDescriptors()
    
protected  doublegetToleranceForAssertions(double longitude, double latitude)
    
public  intgetZone()
     Convenience method computing the zone code from the central meridian. The zone number, using the scalefactor and false easting to decide if this is a UTM or MTM case.
public  inthashCode()
     Returns a hash value for this projection.
protected  Point2DinverseTransformNormalized(double x, double y, Point2D ptDst)
     Transforms the specified (x,y) coordinates and stores the result in ptDst .
protected  Point2DtransformNormalized(double x, double y, Point2D ptDst)
     Transforms the specified (λ,φ) coordinates (units in radians) and stores the result in ptDst (linear distance on a unit sphere).


Constructor Detail
TransverseMercator
protected TransverseMercator(ParameterValueGroup parameters) throws ParameterNotFoundException(Code)
Constructs a new map projection from the supplied parameters.
Parameters:
  parameters - The parameter values in standard units.
throws:
  ParameterNotFoundException - if a mandatory parameter is missing.




Method Detail
equals
public boolean equals(Object object)(Code)
Compares the specified object with this map projection for equality.



getCentralMeridian
public double getCentralMeridian()(Code)
Convenience method returning the meridian in the middle of current zone. This meridian is typically the central meridian. This method may be invoked to make sure that the central meridian is correctly set. The central meridian, using the scalefactor and false easting to decide if this is a UTM or MTM case. Returns Double.NaNif the case of the projection cannot be determined.



getParameterDescriptors
public ParameterDescriptorGroup getParameterDescriptors()(Code)



getToleranceForAssertions
protected double getToleranceForAssertions(double longitude, double latitude)(Code)



getZone
public int getZone()(Code)
Convenience method computing the zone code from the central meridian. The zone number, using the scalefactor and false easting to decide if this is a UTM or MTM case. Returns 0 if the case of the projection cannot be determined.



hashCode
public int hashCode()(Code)
Returns a hash value for this projection.



inverseTransformNormalized
protected Point2D inverseTransformNormalized(double x, double y, Point2D ptDst) throws ProjectionException(Code)
Transforms the specified (x,y) coordinates and stores the result in ptDst .



transformNormalized
protected Point2D transformNormalized(double x, double y, Point2D ptDst) throws ProjectionException(Code)
Transforms the specified (λ,φ) coordinates (units in radians) and stores the result in ptDst (linear distance on a unit sphere).



Fields inherited from org.geotools.referencing.operation.projection.MapProjection
protected double centralMeridian(Code)(Java Doc)
final protected double excentricity(Code)(Java Doc)
final protected double excentricitySquared(Code)(Java Doc)
final protected double falseEasting(Code)(Java Doc)
final protected double falseNorthing(Code)(Java Doc)
protected double globalScale(Code)(Java Doc)
final protected boolean isSpherical(Code)(Java Doc)
protected double latitudeOfOrigin(Code)(Java Doc)
protected double scaleFactor(Code)(Java Doc)
final protected double semiMajor(Code)(Java Doc)
final protected double semiMinor(Code)(Java Doc)

Methods inherited from org.geotools.referencing.operation.projection.MapProjection
static boolean checkInverseTransform(double longitude, double latitude, Point2D expected, double tolerance)(Code)(Java Doc)
static boolean checkInverseTransform(double longitude, double latitude, Point2D expected)(Code)(Java Doc)
static boolean checkTransform(double x, double y, Point2D expected, double tolerance)(Code)(Java Doc)
static boolean checkTransform(double x, double y, Point2D expected)(Code)(Java Doc)
final double cphi2(double ts) throws ProjectionException(Code)(Java Doc)
final double doubleValue(Collection expected, ParameterDescriptor param, ParameterValueGroup group) throws ParameterNotFoundException(Code)(Java Doc)
static void ensureLatitudeEquals(ParameterDescriptor name, double y, double expected) throws IllegalArgumentException(Code)(Java Doc)
static void ensureLatitudeInRange(ParameterDescriptor name, double y, boolean edge) throws IllegalArgumentException(Code)(Java Doc)
static void ensureLongitudeInRange(ParameterDescriptor name, double x, boolean edge) throws IllegalArgumentException(Code)(Java Doc)
final void ensureSpherical() throws IllegalArgumentException(Code)(Java Doc)
public boolean equals(Object object)(Code)(Java Doc)
static boolean equals(double value1, double value2)(Code)(Java Doc)
abstract public ParameterDescriptorGroup getParameterDescriptors()(Code)(Java Doc)
public ParameterValueGroup getParameterValues()(Code)(Java Doc)
final public int getSourceDimensions()(Code)(Java Doc)
final public int getTargetDimensions()(Code)(Java Doc)
protected double getToleranceForAssertions(double longitude, double latitude)(Code)(Java Doc)
public int hashCode()(Code)(Java Doc)
final public MathTransform inverse()(Code)(Java Doc)
abstract protected Point2D inverseTransformNormalized(double x, double y, Point2D ptDst) throws ProjectionException(Code)(Java Doc)
boolean isExpectedParameter(Collection expected, ParameterDescriptor param)(Code)(Java Doc)
final double msfn(double s, double c)(Code)(Java Doc)
final void set(Collection expected, ParameterDescriptor param, ParameterValueGroup group, double value)(Code)(Java Doc)
final public Point2D transform(Point2D ptSrc, Point2D ptDst) throws ProjectionException(Code)(Java Doc)
final public void transform(double[] src, int srcOffset, double[] dest, int dstOffset, int numPts) throws ProjectionException(Code)(Java Doc)
final public void transform(float[] src, int srcOffset, float[] dest, int dstOffset, int numPts) throws ProjectionException(Code)(Java Doc)
abstract protected Point2D transformNormalized(double x, double y, Point2D ptDst) throws ProjectionException(Code)(Java Doc)
final double tsfn(double phi, double sinphi)(Code)(Java Doc)

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