Class LambertConicConformal
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.LambertConicConformal
- All Implemented Interfaces:
Serializable
,Parameterized
,LenientComparable
,org.opengis.referencing.operation.MathTransform
,org.opengis.referencing.operation.MathTransform2D
- Direct Known Subclasses:
LambertConicConformal.Spherical
Lambert Conic Conformal projection (EPSG codes 9801, 9802, 9803, 9826, 1051).
See the following references for an overview:
Description
Areas and shapes are deformed as one moves away from standard parallels. The angles are true in a limited area. This projection is used for the charts of North America and some European countries.- Since:
- 0.6
- Version:
- 1.3
- See Also:
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Nested Class Summary
Nested ClassesModifier and TypeClassDescription(package private) static final class
Provides the transform equations for the spherical case of the Lambert Conformal projection.private static enum
Variants of Lambert Conical Conformal projection.Nested classes/interfaces inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection
NormalizedProjection.ParameterRole
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Field Summary
FieldsModifier and TypeFieldDescription(package private) final double
Internal coefficients for computation, depending only on eccentricity and values of standards parallels.private static final long
For cross-version compatibility.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
LambertConicConformal
(Initializer initializer) Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors").(package private)
Creates a new projection initialized to the same parameters than the given one.LambertConicConformal
(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Creates a Lambert projection from the given parameters. -
Method Summary
Modifier and TypeMethodDescription(package private) static Number
belgeA()
Constant for the Belgium 2SP case.org.opengis.referencing.operation.MathTransform
createMapProjection
(org.opengis.referencing.operation.MathTransformFactory factory) Returns the sequence of normalization →this
→ denormalization transforms as a whole.Optional<org.opengis.geometry.Envelope>
getDomain
(DomainDefinition criteria) Returns the domain of input coordinates.(package private) final String[]
Returns the names of additional internal parameters which need to be taken in account when comparing twoLambertConicConformal
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 twoLambertConicConformal
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 (θ,φ) result indstPts
.org.opengis.referencing.operation.Matrix
transform
(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate) Projects the specified (θ,φ) coordinates and stores the result indstPts
.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, 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, 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 cross-version compatibility.- See Also:
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n
final double nInternal coefficients for computation, depending only on eccentricity and values of standards parallels. This is defined as n = (ln m₁ – ln m₂) / (ln t₁ – ln t₂) in §1.3.1.1 of IOGP Publication 373-7-2 – Geomatics Guidance Note number 7, part 2 – April 2015.Note:
- If φ₁ = -φ₂, then the cone become a cylinder and this
n
value become 0. This limiting case is the Mercator projection, but we cannot use this class becausen=0
causes indetermination like 0 × ∞ in the equations of this class. - If φ₁ = φ₂ = ±90°, then this
n
value become ±1. The formulas in the transform and inverse transform methods become basically the same than the ones inPolarStereographic
, but (de)normalization matrices contain NaN values. - Depending on how the formulas are written, n may be positive in the South hemisphere and negative in the North hemisphere (or conversely). However, Apache SIS adjusts the coefficients of the (de)normalization matrices in order to keep n positive, because the formulas are slightly more accurate for positive n values. However, this adjustment is optional and can be disabled in the constructor.
- If φ₁ = -φ₂, then the cone become a cylinder and this
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Constructor Details
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LambertConicConformal
public LambertConicConformal(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Creates a Lambert projection from the given parameters. Themethod
argument can be the description of one of the following:- "Lambert Conic Conformal (1SP)".
- "Lambert Conic Conformal (West Orientated)".
- "Lambert Conic Conformal (2SP)".
- "Lambert Conic Conformal (2SP Belgium)".
- "Lambert Conic Conformal (2SP Michigan)".
- Parameters:
method
- description of the projection parameters.parameters
- the parameter values of the projection to create.
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LambertConicConformal
Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors"). -
LambertConicConformal
LambertConicConformal(LambertConicConformal other) Creates a new projection initialized to the same parameters than the given one.
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Method Details
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belgeA
Constant for the Belgium 2SP case. Defined as 29.2985 seconds, given here in radians. Use double-double arithmetic not for map projection accuracy, but for consistency with the normalization matrix which use that precision for "degrees to radians" conversion. The goal is to have cleaner results after matrix inversions and multiplications.Tip: how to verify the value: -
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 twoLambertConicConformal
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 twoLambertConicConformal
projections or formatting them in debug mode.- Overrides:
getInternalParameterValues
in classNormalizedProjection
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createMapProjection
public org.opengis.referencing.operation.MathTransform createMapProjection(org.opengis.referencing.operation.MathTransformFactory factory) throws org.opengis.util.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 latter case,this
transform may 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:
org.opengis.util.FactoryException
- if an error occurred while creating a transform.- See Also:
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getDomain
Returns the domain of input coordinates. The limits defined by this method are arbitrary and may change in any future implementation. Current implementation sets a longitude range of ±180° (i.e. the world) and a latitude range from pole to equator in the hemisphere of the projection.- Overrides:
getDomain
in classAbstractMathTransform
- Parameters:
criteria
- controls the definition of transform domain.- Returns:
- estimation of a domain where this transform is considered numerically applicable.
- Since:
- 1.3
- See Also:
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MathTransforms.getDomain(MathTransform)
CoordinateOperation.getDomainOfValidity()
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transform
public org.opengis.referencing.operation.Matrix transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate) throws ProjectionException Projects the specified (θ,φ) coordinates and stores the result indstPts
. In addition, opportunistically computes the projection derivative ifderivate
istrue
. The units of measurement are implementation-specific (see super-class javadoc). 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 (θ,φ) result indstPts
.- 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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