Class ObliqueStereographic
- 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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- ObliqueStereographic
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- All Implemented Interfaces:
Serializable
,Parameterized
,LenientComparable
,MathTransform
,MathTransform2D
public class ObliqueStereographic extends NormalizedProjection
Oblique Stereographic projection (EPSG code 9809). See the Stereographic projection on MathWorld for an overview.DescriptionThe directions starting from the central point are true, but the areas and the lengths become increasingly deformed as one moves away from the center. This projection is frequently used for mapping polar areas, but can also be used for other limited areas centered on a point.This projection involves two steps: first a conversion of geodetic coordinates to conformal coordinates (i.e. latitudes and longitudes on a conformal sphere), then a spherical stereographic projection. For this reason this projection method is sometime known as "Double Stereographic".
Note: there is another method known as "Oblique Stereographic Alternative" or sometime just "Stereographic". That alternative uses a simplified conversion computing the conformal latitude of each point on the ellipsoid. Both methods are considered valid but produce slightly different results. For this reason EPSG considers them as different projection methods.- Since:
- 0.7
- See Also:
- 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 ObliqueStereographic(OperationMethod method, Parameters parameters)
Creates an Oblique Stereographic 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)
Converts the specified (x,y) 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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ObliqueStereographic
public ObliqueStereographic(OperationMethod method, Parameters parameters)
Creates an Oblique Stereographic projection from the given parameters. Themethod
argument can be the description of one of the following:- "Oblique Stereographic", also known as "Roussilhe".
- 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
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 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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