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Java Source Code / Java Documentation » GIS » GeoTools 2.4.1 » org.geotools.referencing.operation.builder 
Source Cross Reference  Class Diagram Java Document (Java Doc) 


java.lang.Object
   org.geotools.referencing.operation.builder.MathTransformBuilder
      org.geotools.referencing.operation.builder.ProjectiveTransformBuilder

All known Subclasses:   org.geotools.referencing.operation.builder.AffineTransformBuilder,  org.geotools.referencing.operation.builder.SimilarTransformBuilder,
ProjectiveTransformBuilder
public class ProjectiveTransformBuilder extends MathTransformBuilder (Code)
Builds setup as Projective transformation from a list of . The calculation uses least square method. The Projective transform equation: (2D). The calculation uses least square method. Projective transform equation:
  [ x']   [  m00  m01  m02  ] [ x ]
 [ y'] = [  m10  m11  m12  ] [ y ]
 [ 1 ]   [  m20  m21    1  ] [ 1 ]                           x' = m * x
 
In the case that we have more identical points we can write it like this (in Matrix):
 [ x'1 ]      [ x1 y1 1  0  0  0 -x'x  -x'y]   [ m00 ]
 [ x'2 ]      [ x2 y2 1  0  0  0 -x'x  -x'y]   [ m01 ]
 [  .  ]      [             .              ]   [ m02 ]
 [  .  ]      [             .              ] * [ m10 ]
 [ x'n ]   =  [ xn yn 1  0  0  0 -x'x  -x'y]   [ m11 ]
 [ y'1 ]      [ 0  0  0  x1 y1 1 -y'x  -y'y]   [ m12 ]
 [ y'2 ]      [ 0  0  0  x2 y2 1  -y'x  -y'y]   [ m20 ]
 [  .  ]      [             .              ]   [ m21 ]
 [  .  ]      [             .              ]
 [ y'n ]      [ 0  0  0  xn yn 1  -y'x  -y'y]
 x' = A*m 
Using the least square method we get this result:
m = (ATPA)-1 ATPx'

author:
   Jan Jezek
version:
   $Id: ProjectiveTransformBuilder.java 28982 2008-01-28 16:27:33Z acuster $
since:
   2.4


Field Summary
protected  GeneralMatrixA
    
protected  GeneralMatrixP
    
protected  GeneralMatrixX
    

Constructor Summary
protected  ProjectiveTransformBuilder()
    
public  ProjectiveTransformBuilder(List vectors)
     Creates ProjectiveTransformBuilder for the set of properties.

Method Summary
protected  double[]calculateLSM()
     Calculates the parameters using the least square method.
protected  MathTransformcomputeMathTransform()
    
protected  voidfillAMatrix()
    
protected  voidfillPMatrix()
    
protected  voidfillXMatrix()
    
public  ClassgetCoordinateSystemType()
     Returns the required coordinate system type, which is .
public  intgetMinimumPointCount()
     Returns the minimum number of points required by this builder, which is 4 by default.
protected  GeneralMatrixgetProjectiveMatrix()
     Returns the matrix of parameters for Projective transformation. This method should by override for the special cases like affine or similar transformation.
public  voidincludeWeights(boolean include)
     Switch whether to include weights into the calculation.

Field Detail
A
protected GeneralMatrix A(Code)
Matrix of derivations



P
protected GeneralMatrix P(Code)
Matrix of wights



X
protected GeneralMatrix X(Code)
Matrix of target values




Constructor Detail
ProjectiveTransformBuilder
protected ProjectiveTransformBuilder()(Code)



ProjectiveTransformBuilder
public ProjectiveTransformBuilder(List vectors) throws MismatchedSizeException, MismatchedDimensionException, MismatchedReferenceSystemException(Code)
Creates ProjectiveTransformBuilder for the set of properties.
Parameters:
  vectors - list of
throws:
  MismatchedSizeException - if the number of properties is not set properly.
throws:
  MismatchedDimensionException - if the dimension of properties is not set properly.
throws:
  MismatchedReferenceSystemException - -if there is mismatch in coordinate system in




Method Detail
calculateLSM
protected double[] calculateLSM()(Code)
Calculates the parameters using the least square method. The equation:
m = (ATA)-1 ATx'
m matrix.



computeMathTransform
protected MathTransform computeMathTransform()(Code)



fillAMatrix
protected void fillAMatrix()(Code)
Fills A matrix for m = (ATPA)-1 ATPx' equation



fillPMatrix
protected void fillPMatrix() throws MissingInfoException(Code)
Fills P matrix for m = (ATPA)-1 ATPx' equation
throws:
  MissingInfoException - if accuracy is not defined.



fillXMatrix
protected void fillXMatrix()(Code)
Fills x' matrix for m = (ATPA)-1 ATPx' equation



getCoordinateSystemType
public Class getCoordinateSystemType()(Code)
Returns the required coordinate system type, which is . required coordinate system type



getMinimumPointCount
public int getMinimumPointCount()(Code)
Returns the minimum number of points required by this builder, which is 4 by default. Subclasses like will reduce this minimum. minimum number of points required by this builder, which is 4 bydefault.



getProjectiveMatrix
protected GeneralMatrix getProjectiveMatrix()(Code)
Returns the matrix of parameters for Projective transformation. This method should by override for the special cases like affine or similar transformation. The M matrix looks like this:
 [  m00  m01  m02  ]
 [  m10  m11  m12  ]
 [  m20  m21   1   ]
 
Matrix M



includeWeights
public void includeWeights(boolean include) throws MissingInfoException(Code)
Switch whether to include weights into the calculation. Weights are derived from each point accuracy. Weight p = 1 / accuracy2.
Parameters:
  include - if true then the weights will be included onto the calculation. False is default.
throws:
  FactoryException - if all or some of the does not have accuracy setup properly.



Fields inherited from org.geotools.referencing.operation.builder.MathTransformBuilder
final protected MathTransformFactory mtFactory(Code)(Java Doc)

Methods inherited from org.geotools.referencing.operation.builder.MathTransformBuilder
abstract protected MathTransform computeMathTransform() throws FactoryException(Code)(Java Doc)
public Class getCoordinateSystemType()(Code)(Java Doc)
public int getDimension()(Code)(Java Doc)
public Statistics getErrorStatistics() throws FactoryException(Code)(Java Doc)
public List getMappedPositions()(Code)(Java Doc)
final public MathTransform getMathTransform() throws FactoryException(Code)(Java Doc)
abstract public int getMinimumPointCount()(Code)(Java Doc)
public String getName()(Code)(Java Doc)
public CoordinateReferenceSystem getSourceCRS() throws FactoryException(Code)(Java Doc)
public DirectPosition[] getSourcePoints()(Code)(Java Doc)
public CoordinateReferenceSystem getTargetCRS() throws FactoryException(Code)(Java Doc)
public DirectPosition[] getTargetPoints()(Code)(Java Doc)
public Transformation getTransformation() throws FactoryException(Code)(Java Doc)
public void printPoints(Writer out, Locale locale) throws IOException(Code)(Java Doc)
public void setMappedPositions(List positions) throws MismatchedSizeException, MismatchedDimensionException, MismatchedReferenceSystemException(Code)(Java Doc)
public void setSourcePoints(DirectPosition[] points) throws MismatchedSizeException, MismatchedDimensionException, MismatchedReferenceSystemException(Code)(Java Doc)
public void setTargetPoints(DirectPosition[] points) throws MismatchedSizeException, MismatchedDimensionException, MismatchedReferenceSystemException(Code)(Java Doc)
public String toString()(Code)(Java Doc)

Methods inherited from java.lang.Object
native protected Object clone() throws CloneNotSupportedException(Code)(Java Doc)
public boolean equals(Object obj)(Code)(Java Doc)
protected void finalize() throws Throwable(Code)(Java Doc)
final native public Class getClass()(Code)(Java Doc)
native public int hashCode()(Code)(Java Doc)
final native public void notify()(Code)(Java Doc)
final native public void notifyAll()(Code)(Java Doc)
public String toString()(Code)(Java Doc)
final native public void wait(long timeout) throws InterruptedException(Code)(Java Doc)
final public void wait(long timeout, int nanos) throws InterruptedException(Code)(Java Doc)
final public void wait() throws InterruptedException(Code)(Java Doc)

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