Class ObliqueMercator
java.lang.Object
org.apache.sis.io.wkt.FormattableObject
org.apache.sis.referencing.operation.transform.AbstractMathTransform
org.apache.sis.referencing.operation.transform.AbstractMathTransform2D
org.apache.sis.referencing.operation.projection.NormalizedProjection
org.apache.sis.referencing.operation.projection.ConformalProjection
org.apache.sis.referencing.operation.projection.ObliqueMercator
- All Implemented Interfaces:
Serializable
,Parameterized
,LenientComparable
,org.opengis.referencing.operation.MathTransform
,org.opengis.referencing.operation.MathTransform2D
Oblique Mercator projection (EPSG codes 9812, 9815).
The Oblique Mercator projection can be seen as a generalization of
Mercator
and TransverseMercator
projections when the central line is not along the equator or a meridian, respectively.
This class covers also the Rectified Skew Orthomorphic (RSO) case.
There is different ways to specify the projection parameters:
- Variant A (EPSG:9812) uses false easting/northing defined at the natural origin of the coordinate system.
- Variant B (EPSG:9815) uses false easting/northing defined at the projection center.
- ESRI "Two Points" variant defines the central line with two points instead of with an azimuth angle.
Mercator
and
TransverseMercator
projections should be preferred, both for performance and accuracy reasons.- Since:
- 1.0
- Version:
- 1.2
- See Also:
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Nested Class Summary
Nested ClassesModifier and TypeClassDescriptionprivate static enum
Variants of Oblique Mercator projection.Nested classes/interfaces inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection
NormalizedProjection.ParameterRole
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Field Summary
FieldsModifier and TypeFieldDescriptionprivate final double
Constants used in the transformation.private final double
Sine and Cosine values forγ0
(the angle between the meridian and central line at the intersection between the central line and the Earth equator on aposphere).private final double
Constants used in the transformation.private static final long
For compatibility with different versions during deserialization.private final double
Sine and Cosine values forγ0
(the angle between the meridian and central line at the intersection between the central line and the Earth equator on aposphere).Fields inherited from class org.apache.sis.referencing.operation.projection.ConformalProjection
ECCENTRICITY_THRESHOLD
Fields inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection
ANGULAR_TOLERANCE, context, eccentricity, eccentricitySquared, ITERATION_TOLERANCE, LARGE_LONGITUDE_LIMIT, MAXIMUM_ITERATIONS, POLAR_AREA_LIMIT
Fields inherited from class org.apache.sis.referencing.operation.transform.AbstractMathTransform2D
DIMENSION
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Constructor Summary
ConstructorsModifierConstructorDescriptionprivate
ObliqueMercator
(Initializer initializer) Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors").ObliqueMercator
(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Creates an Oblique Mercator projection from the given parameters. -
Method Summary
Modifier and TypeMethodDescription(package private) final String[]
Returns the names of additional internal parameters which need to be taken in account when comparing twoObliqueMercator
projections or formatting them in debug mode.(package private) final double[]
Returns the values of additional internal parameters which need to be taken in account when comparing twoObliqueMercator
projections or formatting them in debug mode.private static Initializer
initializer
(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors").protected void
inverseTransform
(double[] srcPts, int srcOff, double[] dstPts, int dstOff) Converts the specified (x,y) coordinates and stores the result indstPts
(angles in radians).org.opengis.referencing.operation.Matrix
transform
(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate) Projects the specified (λ,φ) coordinates (units in radians) and stores the result indstPts
.private double
γ0()
Methods inherited from class org.apache.sis.referencing.operation.projection.ConformalProjection
dy_dφ, expΨ, φ
Methods inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection
completeWithWraparound, computeHashCode, createMapProjection, delegate, equals, getContextualParameters, getParameterDescriptors, getParameterValues, getWraparoundLongitude, inverse, tryConcatenate, tryConcatenate, variant
Methods inherited from class org.apache.sis.referencing.operation.transform.AbstractMathTransform2D
createTransformedShape, derivative, getSourceDimensions, getTargetDimensions, transform
Methods inherited from class org.apache.sis.referencing.operation.transform.AbstractMathTransform
derivative, equals, formatTo, getDomain, hashCode, isIdentity, transform, transform, transform, transform, transform
Methods inherited from class org.apache.sis.io.wkt.FormattableObject
print, toString, toString, toWKT
Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
Methods inherited from interface org.opengis.referencing.operation.MathTransform
derivative, isIdentity, toWKT, transform, transform, transform, transform, transform
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Field Details
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serialVersionUID
private static final long serialVersionUIDFor compatibility with different versions during deserialization.- See Also:
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B
private final double BConstants used in the transformation. Those coefficients depend only on the latitude of center. -
H
private final double HConstants used in the transformation. Those coefficients depend only on the latitude of center. -
sinγ0
private final double sinγ0Sine and Cosine values forγ0
(the angle between the meridian and central line at the intersection between the central line and the Earth equator on aposphere). -
cosγ0
private final double cosγ0Sine and Cosine values forγ0
(the angle between the meridian and central line at the intersection between the central line and the Earth equator on aposphere).
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Constructor Details
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ObliqueMercator
public ObliqueMercator(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Creates an Oblique Mercator projection from the given parameters. Themethod
argument can be the description of one of the following:- "Hotine Oblique Mercator (variant A)".
- "Hotine Oblique Mercator (variant B)".
- "Hotine Oblique Mercator two point center" (from ESRI).
- "Hotine Oblique Mercator two point natural origin" (from ESRI).
- "Rectified Skew Orthomorphic".
- Parameters:
method
- description of the projection parameters.parameters
- the parameter values of the projection to create.
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ObliqueMercator
Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors").
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Method Details
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initializer
@Workaround(library="JDK", version="1.7") private static Initializer initializer(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors"). -
getInternalParameterNames
Returns the names of additional internal parameters which need to be taken in account when comparing twoObliqueMercator
projections or formatting them in debug mode.- Overrides:
getInternalParameterNames
in classNormalizedProjection
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getInternalParameterValues
final double[] getInternalParameterValues()Returns the values of additional internal parameters which need to be taken in account when comparing twoObliqueMercator
projections or formatting them in debug mode.- Overrides:
getInternalParameterValues
in classNormalizedProjection
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γ0
private double γ0() -
transform
public org.opengis.referencing.operation.Matrix transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate) throws ProjectionException Projects the specified (λ,φ) coordinates (units in radians) and stores the result indstPts
. In addition, opportunistically computes the projection derivative ifderivate
istrue
. The results must be multiplied by the denormalization matrix before to get linear distances.- Specified by:
transform
in classNormalizedProjection
- Parameters:
srcPts
- the array containing the source point coordinates, as (longitude, latitude) angles in radians.srcOff
- the offset of the single coordinate tuple to be converted in the source array.dstPts
- the array into which the converted coordinates 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 coordinates 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 coordinates cannot be converted.- See Also:
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inverseTransform
protected void inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff) throws ProjectionException Converts the specified (x,y) coordinates and stores the result indstPts
(angles in radians).- Specified by:
inverseTransform
in classNormalizedProjection
- Parameters:
srcPts
- the array containing the source point coordinates, 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 coordinates 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 cannot be converted.
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