imagingbook.pub.geometry.mappings.linear

Class ProjectiveMapping

java.lang.Object

imagingbook.pub.geometry.mappings.Mapping

imagingbook.pub.geometry.mappings.linear.LinearMapping

imagingbook.pub.geometry.mappings.linear.ProjectiveMapping

All Implemented Interfaces:

WarpParameters, Cloneable

Direct Known Subclasses:

AffineMapping

public class ProjectiveMapping
extends LinearMapping
implements WarpParameters

2015-02-16: Added preliminary constructor for more than 4 point pairs (overdetermined, least-squares).

Field Summary

Fields inherited from class imagingbook.pub.geometry.mappings.linear.LinearMapping

a00, a01, a02, a10, a11, a12, a20, a21, a22

Fields inherited from class imagingbook.pub.geometry.mappings.Mapping

isInverseFlag

Constructor Summary

Constructors

Constructor and Description
ProjectiveMapping()
ProjectiveMapping(double a00, double a01, double a02, double a10, double a11, double a12, double a20, double a21, boolean inv)
ProjectiveMapping(LinearMapping lm)
ProjectiveMapping(Point2D[] P, Point2D[] Q) Creates a new ProjectiveMapping between arbitrary quadrilaterals P, Q.
ProjectiveMapping(Point2D[] P, Point2D[] Q, boolean dummy) Constructor for more than 4 point pairs, finds a least-squares solution for the homography parameters.
ProjectiveMapping(Point2D p0, Point2D p1, Point2D p2, Point2D p3)
ProjectiveMapping(Point2D p0, Point2D p1, Point2D p2, Point2D p3, Point2D q0, Point2D q1, Point2D q2, Point2D q3) Creates a new ProjectiveMapping between arbitrary quadrilaterals P, Q.

Method Summary

Modifier and Type	Method and Description
ProjectiveMapping	concat(ProjectiveMapping B)
ProjectiveMapping	duplicate()
double[][]	getWarpJacobian(double[] xy)
int	getWarpParameterCount()
double[]	getWarpParameters()
ProjectiveMapping	invert()
static void	main(String[] args)
static ProjectiveMapping	makeMapping(Point2D[] P, Point2D[] Q)
void	setWarpParameters(double[] p)

Methods inherited from class imagingbook.pub.geometry.mappings.linear.LinearMapping

applyTo, applyTo, applyTo, concat, concatDestructive, getInverse, getTransformationMatrix, invertDestructive, toArray, toString

Methods inherited from class imagingbook.pub.geometry.mappings.Mapping

applyTo, applyTo, applyTo, applyTo, clone, isInverse

Methods inherited from class java.lang.Object

equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

ProjectiveMapping

public ProjectiveMapping()

ProjectiveMapping

public ProjectiveMapping(double a00,
                         double a01,
                         double a02,
                         double a10,
                         double a11,
                         double a12,
                         double a20,
                         double a21,
                         boolean inv)

ProjectiveMapping

public ProjectiveMapping(LinearMapping lm)

ProjectiveMapping

public ProjectiveMapping(Point2D p0,
                         Point2D p1,
                         Point2D p2,
                         Point2D p3)

ProjectiveMapping

public ProjectiveMapping(Point2D p0,
                         Point2D p1,
                         Point2D p2,
                         Point2D p3,
                         Point2D q0,
                         Point2D q1,
                         Point2D q2,
                         Point2D q3)

Creates a new ProjectiveMapping between arbitrary quadrilaterals P, Q.

Parameters:

p0 - point 1 of source quad P.

p1 - point 2 of source quad P.

p2 - point 3 of source quad P.

p3 - point 4 of source quad P.

q0 - point 1 of target quad Q.

q1 - point 2 of target quad Q.

q2 - point 3 of target quad Q.

q3 - point 4 of target quad Q.

ProjectiveMapping

public ProjectiveMapping(Point2D[] P,
                         Point2D[] Q)

Creates a new ProjectiveMapping between arbitrary quadrilaterals P, Q.

Parameters:

P - source quad.

Q - target quad.

ProjectiveMapping

public ProjectiveMapping(Point2D[] P,
                         Point2D[] Q,
                         boolean dummy)

Constructor for more than 4 point pairs, finds a least-squares solution for the homography parameters. NOTE: this is UNFINISHED code!

Parameters:

P - sequence of points (source)

Q - sequence of points (target)

dummy - unused (only to avoid duplicate signature)

Method Detail

makeMapping

public static ProjectiveMapping makeMapping(Point2D[] P,
                                            Point2D[] Q)

concat

public ProjectiveMapping concat(ProjectiveMapping B)

invert

public ProjectiveMapping invert()

Overrides:

invert in class LinearMapping

duplicate

public ProjectiveMapping duplicate()

Overrides:

duplicate in class LinearMapping

getWarpParameterCount

public int getWarpParameterCount()

Specified by:

getWarpParameterCount in interface WarpParameters

getWarpParameters

public double[] getWarpParameters()

Specified by:

getWarpParameters in interface WarpParameters

setWarpParameters

public void setWarpParameters(double[] p)

Specified by:

setWarpParameters in interface WarpParameters

getWarpJacobian

public double[][] getWarpJacobian(double[] xy)

Specified by:

getWarpJacobian in interface WarpParameters

main

public static void main(String[] args)