Class TransverseMercator
- Object
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- FormattableObject
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- AbstractMathTransform
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- AbstractMathTransform2D
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- NormalizedProjection
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- TransverseMercator
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- All Implemented Interfaces:
Serializable
,Parameterized
,LenientComparable
,MathTransform
,MathTransform2D
public class TransverseMercator extends NormalizedProjection
Transverse Mercator projection (EPSG codes 9807). This class implements the "JHS formulas" reproduced in IOGP Publication 373-7-2 – Geomatics Guidance Note number 7, part 2 – April 2015.DescriptionThis 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 further from the central meridian. The Transverse Mercator projection is appropriate for region which have a greater extent north-south than east-west.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 latitude 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 500000 metres is used for all zones and a false northing of 10000000 metres is used for zones in the southern hemisphere.
- Since:
- 0.6
- See Also:
Mercator
,ObliqueMercator
, Serialized Form
Defined in the
sis-referencing
module
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Nested Class Summary
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Nested classes/interfaces inherited from class NormalizedProjection
NormalizedProjection.ParameterRole
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Field Summary
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Fields inherited from class NormalizedProjection
eccentricity, eccentricitySquared
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Constructor Summary
Constructors Constructor Description TransverseMercator(OperationMethod method, Parameters parameters)
Creates a Transverse Mercator projection from the given parameters.
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description MathTransform
createMapProjection(MathTransformFactory factory)
Returns the sequence of normalization →this
→ denormalization transforms as a whole.protected void
inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff)
Transforms the specified (η, ξ) coordinates and stores the result indstPts
(angles in radians).Matrix
transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate)
Converts the specified (λ,φ) coordinate (units in radians) and stores the result indstPts
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Methods inherited from class NormalizedProjection
computeHashCode, equals, getContextualParameters, getParameterDescriptors, getParameterValues, inverse, tryConcatenate
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Methods inherited from class AbstractMathTransform2D
createTransformedShape, derivative, getSourceDimensions, getTargetDimensions, transform
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Methods inherited from class AbstractMathTransform
derivative, equals, formatTo, hashCode, isIdentity, transform, transform, transform, transform, transform
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Methods inherited from class FormattableObject
print, toString, toString, toWKT
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Methods inherited from class Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
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Methods inherited from interface MathTransform
derivative, isIdentity, toWKT, transform, transform, transform, transform, transform
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Constructor Detail
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TransverseMercator
public TransverseMercator(OperationMethod method, Parameters parameters)
Creates a Transverse Mercator projection from the given parameters. Themethod
argument can be the description of one of the following:- "Transverse Mercator".
- "Transverse Mercator (South Orientated)".
- Parameters:
method
- description of the projection parameters.parameters
- the parameter values of the projection to create.
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Method Detail
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createMapProjection
public MathTransform createMapProjection(MathTransformFactory factory) throws FactoryException
Returns the sequence of normalization →this
→ denormalization transforms as a whole. The transform returned by this method expects (longitude, latitude) coordinates in degrees and returns (x,y) coordinates in metres.The non-linear part of the returned transform will be
this
transform, except if the ellipsoid is spherical. In the later case,this
transform will be replaced by a simplified implementation.- Overrides:
createMapProjection
in classNormalizedProjection
- Parameters:
factory
- the factory to use for creating the transform.- Returns:
- the map projection from (λ,φ) to (x,y) coordinates.
- Throws:
FactoryException
- if an error occurred while creating a transform.- See Also:
ContextualParameters.completeTransform(MathTransformFactory, MathTransform)
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transform
public Matrix transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate) throws ProjectionException
Converts the specified (λ,φ) coordinate (units in radians) and stores the result indstPts
. In addition, opportunistically computes the projection derivative ifderivate
istrue
.- Specified by:
transform
in classNormalizedProjection
- Parameters:
srcPts
- the array containing the source point coordinate, as (longitude, latitude) angles in radians.srcOff
- the offset of the single coordinate to be converted in the source array.dstPts
- the array into which the converted coordinate is returned (may be the same thansrcPts
). Coordinates will be expressed in a dimensionless unit, as a linear distance on a unit sphere or ellipse.dstOff
- the offset of the location of the converted coordinate that is stored in the destination array.derivate
-true
for computing the derivative, orfalse
if not needed.- Returns:
- the matrix of the projection derivative at the given source position,
or
null
if thederivate
argument isfalse
. - Throws:
ProjectionException
- if the coordinate can not be converted.- See Also:
AbstractMathTransform.derivative(DirectPosition)
,AbstractMathTransform.transform(DirectPosition, DirectPosition)
,MathTransforms.derivativeAndTransform(MathTransform, double[], int, double[], int)
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inverseTransform
protected void inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff) throws ProjectionException
Transforms the specified (η, ξ) coordinates and stores the result indstPts
(angles in radians).- Specified by:
inverseTransform
in classNormalizedProjection
- Parameters:
srcPts
- the array containing the source point coordinate, as linear distance on a unit sphere or ellipse.srcOff
- the offset of the point to be converted in the source array.dstPts
- the array into which the converted point coordinate is returned (may be the same thansrcPts
). Coordinates will be (longitude, latitude) angles in radians.dstOff
- the offset of the location of the converted point that is stored in the destination array.- Throws:
ProjectionException
- if the point can not be converted.
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