public class TLcdRectifiedPolynomialProjection extends ALcdProjection
This ILcdRectifiedProjection uses a 2D polynomial function for mapping tie points between reference systems.
The 2D polynomial function is of the form:
x'=Px(x,y)
,
y'=Py(x,y)
,
where Px
and Py
are functions
of the form
∑ ai=1..m; j=1..m xi yj.
Given the degree of the polynomial and the sets of source/target tie points, the coefficients of the polynomials are computed using the least-squares method.
The minimum number of pairs of tie point required for computing the
coefficients is given by the formula:
(deg + 1) * (deg + 2) / 2
,
where deg
is the degree of the polynomial.
If fewer point pairs are available, the projection will gracefully fall-back to lower degrees. There should be at least 3 pairs of tie points.
ILcdProjection projection =
new TLcdRectifiedPolynomialProjection(3);
Modifier and Type | Field and Description |
---|---|
protected ILcdProjection |
fBaseProjection
An optional projection to be chained before a lonlat2world or after a world2lonlat
transformation.
|
protected ILcdPoint |
fOrigin
The point to be used as projection origin.
|
protected ILcdPoint[] |
fSourcePoints
The array of tie points in the source (unrectified) reference.
|
protected ILcdPoint[] |
fTargetPoints
The array of tie points in the target (rectified) reference.
|
protected ILcdBounds |
fWorldBounds
The valid bounds of this projection in world coordinates.
|
fPropertyChangeDispatcher
EPSILON
Constructor and Description |
---|
TLcdRectifiedPolynomialProjection()
Creates a new TLcdRectifiedPolynomialProjection that represents an
identity mapping.
|
TLcdRectifiedPolynomialProjection(int aPolynomialDegree)
Creates a new TLcdRectifiedPolynomialProjection with the given maximum
degree for the polynomial.
|
TLcdRectifiedPolynomialProjection(int aPolynomialDegree,
ILcdPoint[] aSourcePoints,
ILcdPoint[] aTargetPoints)
Creates a new TLcdRectifiedPolynomialProjection based on the given source
and target tie points, and the maximum degree of the polynomial.
|
TLcdRectifiedPolynomialProjection(int aPolynomialDegree,
ILcdPoint[] aSourcePoints,
ILcdPoint[] aTargetPoints,
ILcdProjection aBaseProjection,
ILcdBounds aWorldBounds)
Creates a new TLcdRectifiedPolynomialProjection based on the given source
and target tie points, and the maximum degree of the polynomial.
|
Modifier and Type | Method and Description |
---|---|
double[][] |
boundaryLats(double aLongitude)
Default implementation.
|
double[][] |
boundaryLons(double aLatitude)
Default implementation.
|
protected void |
clearMapCache()
Clears the information that might be cache for mapping between source
points and target points.
|
Object |
clone()
Makes a deep clone of this
ILcdProjection . |
boolean |
equals(Object aObject)
Checks if this
ILcdProjection equals some other Object. |
ILcdProjection |
getBaseProjection()
Returns the optional internal projection.
|
ILcdPoint |
getOrigin()
Origin of the projection is the
ILcd2DEditablePoint that
corresponds with origin (0, 0) of the cartesian coordinate system of the
projection. |
int |
getPolynomialDegree()
Returns the maximum degree of the polynomial.
|
ILcdPoint |
getSourcePoint(int aIndex)
Returns the specified tie point in the unrectified source coordinate system.
|
ILcdPoint |
getTargetPoint(int aIndex)
Returns the specified tie point in the rectified target coordinate system.
|
int |
getTiePointCount()
Returns the number of tie point pairs.
|
ILcdBounds |
getWorldBounds()
Returns the bounds in world (reference) coordinates.
|
int |
hashCode() |
boolean |
inLonLatBounds(ILcdPoint aLLHP)
Checks if an
ILcdPoint is inside the valid area of geodetic
coordinates of the projection. |
boolean |
inWorldBoundsOnEllipsoid(ILcdPoint aXYPoint,
ILcdEllipsoid aEllipsoid)
Default implementation calls
inWorldBoundsOnSphere with
aEllipsoid.getAuxRadius() as sphere radius. |
boolean |
inWorldBoundsOnSphere(ILcdPoint aXYPoint,
double aRadius)
Checks if a
ILcdPoint is inside the valid cartesian area of
the projection. |
boolean |
isAllInBounds()
If all geodetic coordinates (l ,j ) are projected (visible) by an
ILcdProjection
and all (x,y ) coordinates are bounded this is true . |
boolean |
isContinuous()
An
ILcdProjection is continuous if there are no interruptions
in the world coordinates. |
boolean |
isValid()
Returns whether the current projection settings are valid.
|
void |
loadProperties(String aPrefix,
Properties aProperties)
The properties of an
ILcdProjection determine the projection
parameters that determine the plane, cylinder or cone on which the
projection is done. |
void |
lonlatheight2worldOnEllipsoidSFCT(ILcdPoint aLLHP,
ILcdEllipsoid aEllipsoid,
ILcd2DEditablePoint aXYPointSFCT)
Default implementation calls
lonlatheight2worldOnEllipsoidSFCT
with aEllipsoid.getAuxRadius() as sphere radius. |
void |
lonlatheight2worldOnSphereSFCT(ILcdPoint aLLHP,
double aRadius,
ILcd2DEditablePoint aXYPointSFCT)
Transforms an
ILcd2DEditablePoint on a sphere into the
cartesian coordinate system of the projection. |
protected void |
mapPointBackward(ILcdPoint aTargetPoint,
ILcd2DEditablePoint aSourcePointSFCT)
Applies the inverse of the polynomial transformation to the target point,
to obtain the source point.
|
protected void |
mapPointForward(ILcdPoint aSourcePoint,
ILcd2DEditablePoint aTargetPointSFCT)
Applies the polynomial transformation to the source point to obtain the
target point.
|
void |
setBaseProjection(ILcdProjection aBaseProjection)
Sets the projection to be chained before a lonlat2world or after a
world2lonlat transformation.
|
void |
setPolynomialDegree(int aPolynomialDegree)
Sets the maximum degree of the polynomial (between 1 and 4).
|
void |
setSourcePoints(ILcdPoint[] aSourcePoints)
Sets the tie points in the unrectified source coordinate system.
|
void |
setTargetPoints(ILcdPoint[] aTargetPoints)
Sets the tie points in the rectified target coordinate system.
|
void |
setWorldBounds(ILcdBounds aWorldBounds)
Sets the bounds in world (reference) coordinates.
|
void |
world2DEditableBoundsOnEllipsoidSFCT(ILcdEllipsoid aEllipsoid,
ILcd2DEditableBounds aWorldBounds)
Default implementation calls
world2lonlatOnSphereSFCT with
aEllipsoid.getAuxRadius() as sphere radius. |
void |
world2DEditableBoundsOnSphereSFCT(double aRadius,
ILcd2DEditableBounds aWorldBounds)
Sets the
ILcd2DEditableBounds object to the bounds of the projection
in world coordinates. |
void |
world2lonlatOnEllipsoidSFCT(ILcdPoint aXYPoint,
ILcdEllipsoid aEllipsoid,
ILcd2DEditablePoint aLLPointSFCT)
Default implementation calls
world2lonlatOnSphereSFCT with
aEllipsoid.getAuxRadius() as sphere radius. |
void |
world2lonlatOnSphereSFCT(ILcdPoint aXYPoint,
double aRadius,
ILcd2DEditablePoint aLLPointSFCT)
Transforms an
ILcdPoint from the cartesian coordinate system
of the projection into an ILcd2DEditablePoint onto a sphere. |
void |
writePropertiesSFCT(String aPrefix,
Properties aPropertiesSFCT)
The properties of an
ILcdProjection determine the projection
parameters that determine the plane, cylinder or cone on which the
projection is done. |
addPropertyChangeListener, firePropertyChangeEvent, removePropertyChangeListener
finalize, getClass, notify, notifyAll, toString, wait, wait, wait
toString
addPropertyChangeListener, removePropertyChangeListener
protected ILcdPoint[] fSourcePoints
protected ILcdPoint[] fTargetPoints
protected ILcdProjection fBaseProjection
protected ILcdBounds fWorldBounds
protected ILcdPoint fOrigin
public TLcdRectifiedPolynomialProjection()
public TLcdRectifiedPolynomialProjection(int aPolynomialDegree)
aPolynomialDegree
- the maximum degree for the polynomial.public TLcdRectifiedPolynomialProjection(int aPolynomialDegree, ILcdPoint[] aSourcePoints, ILcdPoint[] aTargetPoints)
aPolynomialDegree
- the maximum degree for the polynomial.aSourcePoints
- the unrectified tie points.aTargetPoints
- the rectified tie points.public TLcdRectifiedPolynomialProjection(int aPolynomialDegree, ILcdPoint[] aSourcePoints, ILcdPoint[] aTargetPoints, ILcdProjection aBaseProjection, ILcdBounds aWorldBounds)
aPolynomialDegree
- the maximum degree for the polynomial.aSourcePoints
- the unrectified tie points.aTargetPoints
- the rectified tie points.aBaseProjection
- the optional projection to be chained.aWorldBounds
- the optional bounds of the projection.public int getPolynomialDegree()
public void setPolynomialDegree(int aPolynomialDegree)
public boolean isValid()
public void loadProperties(String aPrefix, Properties aProperties)
ILcdProjection
ILcdProjection
determine the projection
parameters that determine the plane, cylinder or cone on which the
projection is done. The properties of an ILcdProjection
are of
course dependent on the projection. A common property for all ILcdprojection
objects is the origin of the projection. Other, more specific, properties
are standard parallels, azimuthal direction, perspective distance, ... .loadProperties
in interface ILcdProjection
aPrefix
- prefix for property names.aProperties
- Properties object containing the serialized projection.public void writePropertiesSFCT(String aPrefix, Properties aPropertiesSFCT)
ILcdProjection
ILcdProjection
determine the projection
parameters that determine the plane, cylinder or cone on which the
projection is done. The properties of an ILcdProjection
are of
course dependent on the projection. A common property for all ILcdprojection
objects is the origin of the projection. Other, more specific, properties
are standard parallels, azimuthal direction, perspective distance,
... .writePropertiesSFCT
in interface ILcdProjection
aPrefix
- prefix for property names.aPropertiesSFCT
- Properties object in which to store the serialized
projection properties as side effect.protected void clearMapCache()
protected void mapPointForward(ILcdPoint aSourcePoint, ILcd2DEditablePoint aTargetPointSFCT) throws TLcdOutOfBoundsException
TLcdOutOfBoundsException
protected void mapPointBackward(ILcdPoint aTargetPoint, ILcd2DEditablePoint aSourcePointSFCT) throws TLcdOutOfBoundsException
TLcdOutOfBoundsException
public boolean equals(Object aObject)
ILcdProjection
ILcdProjection
equals some other Object.equals
in interface ILcdProjection
aObject
- Object to compare with.ILcdProjection
class and having the same
projection properties, false otherwise.public int hashCode()
public Object clone()
ILcdProjection
ILcdProjection
.clone
in interface ILcdProjection
ILcdProjection
.public void setSourcePoints(ILcdPoint[] aSourcePoints)
aSourcePoints
- the unrectified tie points.public void setTargetPoints(ILcdPoint[] aTargetPoints)
aTargetPoints
- the rectified tie points.public void setBaseProjection(ILcdProjection aBaseProjection)
aBaseProjection
- the projection to be chained.public ILcdBounds getWorldBounds()
public void setWorldBounds(ILcdBounds aWorldBounds)
aWorldBounds
- the world bounds.public int getTiePointCount()
ILcdRectifiedProjection
getTiePointCount
in interface ILcdRectifiedProjection
public ILcdPoint getSourcePoint(int aIndex)
ILcdRectifiedProjection
getSourcePoint
in interface ILcdRectifiedProjection
aIndex
- the index of the tie point.public ILcdPoint getTargetPoint(int aIndex)
ILcdRectifiedProjection
getTargetPoint
in interface ILcdRectifiedProjection
aIndex
- the index of the tie point.public ILcdProjection getBaseProjection()
ILcdRectifiedProjection
getBaseProjection
in interface ILcdRectifiedProjection
public boolean isAllInBounds()
ILcdProjection
ILcdProjection
and all (x,y ) coordinates are bounded this is true
.
All ILcdProjection
objects have bounded (x,y )
coordinates because the projection is cut off if necessary.isAllInBounds
in interface ILcdProjection
true
if all LonLatPoints are within the bounds of
the projection, false
otherwise.public boolean isContinuous()
ILcdProjection
ILcdProjection
is continuous if there are no interruptions
in the world coordinates. Most projections are continuous.isContinuous
in interface ILcdProjection
true
if the projection is continuous,
false
otherwise.public ILcdPoint getOrigin()
ILcdProjection
ILcd2DEditablePoint
that
corresponds with origin (0, 0) of the cartesian coordinate system of the
projection.getOrigin
in interface ILcdProjection
public void lonlatheight2worldOnSphereSFCT(ILcdPoint aLLHP, double aRadius, ILcd2DEditablePoint aXYPointSFCT) throws TLcdOutOfBoundsException
ILcdProjection
ILcd2DEditablePoint
on a sphere into the
cartesian coordinate system of the projection.lonlatheight2worldOnSphereSFCT
in interface ILcdProjection
aLLHP
- point to be projected.aRadius
- radius of the sphere (meters).aXYPointSFCT
- projected point as side effect.TLcdOutOfBoundsException
- If the
ILcdPoint
aLLHP
is not within the valid area
of the projection (visible area), then this exception is thrown.public void lonlatheight2worldOnEllipsoidSFCT(ILcdPoint aLLHP, ILcdEllipsoid aEllipsoid, ILcd2DEditablePoint aXYPointSFCT) throws TLcdOutOfBoundsException
ALcdProjection
lonlatheight2worldOnEllipsoidSFCT
with aEllipsoid.getAuxRadius()
as sphere radius.lonlatheight2worldOnEllipsoidSFCT
in interface ILcdProjection
lonlatheight2worldOnEllipsoidSFCT
in class ALcdProjection
aLLHP
- point to be projected.aEllipsoid
- ellipsoid on which the point is defined.aXYPointSFCT
- projected point as side effect.TLcdOutOfBoundsException
- If the
ILcdPoint
aLLHP
is not within the valid area
of the projection (visible area), then this exception is thrown.public void world2lonlatOnSphereSFCT(ILcdPoint aXYPoint, double aRadius, ILcd2DEditablePoint aLLPointSFCT) throws TLcdOutOfBoundsException
ILcdProjection
ILcdPoint
from the cartesian coordinate system
of the projection into an ILcd2DEditablePoint
onto a sphere.world2lonlatOnSphereSFCT
in interface ILcdProjection
aXYPoint
- projected point for which the corresponding geodetic point is sought.aRadius
- radius of the sphere (meters).aLLPointSFCT
- resulting geodetic coordinate as side effect.TLcdOutOfBoundsException
- If the
ILcdPoint
aXYPoint
is not within the valid
area of the projection (visible area), then this exception is thrown.public void world2lonlatOnEllipsoidSFCT(ILcdPoint aXYPoint, ILcdEllipsoid aEllipsoid, ILcd2DEditablePoint aLLPointSFCT) throws TLcdOutOfBoundsException
ALcdProjection
world2lonlatOnSphereSFCT
with
aEllipsoid.getAuxRadius()
as sphere radius.world2lonlatOnEllipsoidSFCT
in interface ILcdProjection
world2lonlatOnEllipsoidSFCT
in class ALcdProjection
aXYPoint
- projected point for which the corresponding geodetic point is sought.aEllipsoid
- ellipsoid on which the geodetic coordinate is defined.aLLPointSFCT
- resulting geodetic coordinate as side effect.TLcdOutOfBoundsException
- If the
ILcdPoint
aXYPoint
is not within the valid
area of the projection (visible area), then this exception is thrown.public boolean inLonLatBounds(ILcdPoint aLLHP)
ILcdProjection
ILcdPoint
is inside the valid area of geodetic
coordinates of the projection. The valid area is determined by the
LonLatPoints that are visible and for which the corresponding cartesian
coordinate is within the boundaries.inLonLatBounds
in interface ILcdProjection
aLLHP
- ILcdPoint
to be checked upon.true
if valid, false
if invalid.public boolean inWorldBoundsOnSphere(ILcdPoint aXYPoint, double aRadius)
ILcdProjection
ILcdPoint
is inside the valid cartesian area of
the projection. The valid cartesian area is determined naturally by the
projection bounds or by an artificial introduced boundary limit because
some cartesian points are at infinity. The shape of the valid cartesian
area is in many cases rectangular or circular although it might be more
complex.inWorldBoundsOnSphere
in interface ILcdProjection
aXYPoint
- point to be checked upon.aRadius
- radius of the sphere.true
if valid, false
if invalid.public boolean inWorldBoundsOnEllipsoid(ILcdPoint aXYPoint, ILcdEllipsoid aEllipsoid)
ALcdProjection
inWorldBoundsOnSphere
with
aEllipsoid.getAuxRadius()
as sphere radius.inWorldBoundsOnEllipsoid
in interface ILcdProjection
inWorldBoundsOnEllipsoid
in class ALcdProjection
aXYPoint
- point to be checked upon.aEllipsoid
- ellipsoid on which the geodetic coordinate is defined.true
if valid, false
if invalid.ILcdProjection.inWorldBoundsOnSphere(com.luciad.shape.ILcdPoint, double)
public void world2DEditableBoundsOnSphereSFCT(double aRadius, ILcd2DEditableBounds aWorldBounds)
ILcdProjection
ILcd2DEditableBounds
object to the bounds of the projection
in world coordinates.world2DEditableBoundsOnSphereSFCT
in interface ILcdProjection
aRadius
- radius of the sphere.aWorldBounds
- the bounds of the projection in world coordinates as side effect.public void world2DEditableBoundsOnEllipsoidSFCT(ILcdEllipsoid aEllipsoid, ILcd2DEditableBounds aWorldBounds)
ALcdProjection
world2lonlatOnSphereSFCT
with
aEllipsoid.getAuxRadius()
as sphere radius.world2DEditableBoundsOnEllipsoidSFCT
in interface ILcdProjection
world2DEditableBoundsOnEllipsoidSFCT
in class ALcdProjection
aEllipsoid
- ellipsoid considered.aWorldBounds
- the bounds of the projection in world coordinates as side effect.public double[][] boundaryLons(double aLatitude)
ALcdProjection
boundaryLons
in interface ILcdProjection
boundaryLons
in class ALcdProjection
aLatitude
- latitude in decimal degrees and -90.0 <= aLat
<= 90.0.public double[][] boundaryLats(double aLongitude)
ALcdProjection
boundaryLats
in interface ILcdProjection
boundaryLats
in class ALcdProjection
aLongitude
- longitude in decimal degrees -180.0 <= lon <= 180.0 .