#include <vpLine.h>

Inheritance diagram for vpLine:

Public Types
enum	vpForwardProjectionDeallocatorType { user, vpDisplayForwardProjection }

Public Member Functions
void	init ()

	vpLine ()

virtual	~vpLine ()

void	setRho (const double rho)

void	setTheta (const double theta)

double	getTheta () const

double	getRho () const

void	setWorldCoordinates (const double &A1, const double &B1, const double &C1, const double &D1, const double &A2, const double &B2, const double &C2, const double &D2)

void	setWorldCoordinates (const vpColVector &oP1, const vpColVector &oP2)

void	setWorldCoordinates (const vpColVector &oP)

void	projection ()

void	projection (const vpColVector &cP, vpColVector &p)

void	changeFrame (const vpHomogeneousMatrix &cMo, vpColVector &cP)

void	changeFrame (const vpHomogeneousMatrix &cMo)

void	display (const vpImage< unsigned char > &I, const vpCameraParameters &cam, const vpColor &color=vpColor::green, const unsigned int thickness=1)

void	display (const vpImage< unsigned char > &I, const vpHomogeneousMatrix &cMo, const vpCameraParameters &cam, const vpColor &color=vpColor::green, const unsigned int thickness=1)

vpLine *	duplicate () const

void	project ()

void	project (const vpHomogeneousMatrix &cMo)

void	track (const vpHomogeneousMatrix &cMo)

virtual void	print () const

void	setDeallocate (vpForwardProjectionDeallocatorType d)

vpForwardProjectionDeallocatorType	getDeallocate ()

Public Attributes
vpColVector	oP

vpColVector	p

vpColVector	cP

bool	cPAvailable

Detailed Description

Class that defines a line in the object frame, the camera frame and the image plane. All the parameters must be set in meter.

Object and camera frame parametrization:: In the 3D frames, the object frame parameters (oP) and the camera frame parameters (cP), the line is defined as the intersection between two plans. Thus, the parameters which define the line are the parameters which define the two equations of the two plans. Each point which belongs to the line is a solution of those two equations:

$A1 X + B1 Y + C1 Z +D1 = 0$

$A2 X + B2 Y + C2 Z +D2 = 0$

Here

are the 3D coordinates in one of the two 3D frames.

: In this class it is easily possible to compute the parameters (cP) of the line in the camera frame thanks to its parameters (oP) in the object frame. But you have to notes that four constraints are added in the planes equations.

$D1 = 0$

$D2 > 0$

$A1 A2 + B1 B2 + C1 C2 = 0$

$|| A2 || = 1$

: The line parameters oP corresponding to the object frame are located in the vpForwardProjection::oP public attribute, where oP is a vector defined as:
$oP = \left[\begin{array}{c}A1_o \\ B1_o \\ C1_o \\ D1_o \\ A2_o \\ B2_o \\ C2_o \\ D2_o \end{array}\right]$

: The line parameters corresponding to the camera frame are located in the vpTracker::cP public attribute, where cP is a vector defined as:
$cP = \left[\begin{array}{c}A1_c \\ B1_c \\ C1_c \\ D1_c \\ A2_c \\ B2_c \\ C2_c \\ D2_c \end{array}\right]$

Image plane parametrization:: In the image plane, the line is defined thanks to its 2D equation.
$x \; cos(\theta) + y \; sin(\theta) -\rho = 0$
Here and are the coordinates of a point belonging to the line in the image plane while $\rho$ and $\theta$ are the parameters used to define the line. The value of $\theta$ is between $-\pi/2$ and $\pi/2$ and the value of $\rho$ can be positive or negative. The conventions used to choose the sign of $\rho$ and the value of $\theta$ are illustrated by the following image.

: The line parameters corresponding to the image frame are located in the vpTracker::p public attribute, where p is a vector defined as:
$p = \left[\begin{array}{c} \rho \\ \theta \end{array}\right]$

Examples:: manGeometricFeatures.cpp, servoAfma6Line2DCamVelocity.cpp, servoAfma6SquareLines2DCamVelocity.cpp, servoAfma6TwoLines2DCamVelocity.cpp, servoSimuLine2DCamVelocityDisplay.cpp, servoSimuSquareLine2DCamVelocityDisplay.cpp, and testPoseFeatures.cpp.

Definition at line 124 of file vpLine.h.

Member Enumeration Documentation

enum vpForwardProjection::vpForwardProjectionDeallocatorType

inherited

Used for memory issue especially in the vpServo class.

Enumerator
user
vpDisplayForwardProjection

Definition at line 219 of file vpForwardProjection.h.

Constructor & Destructor Documentation

vpLine::vpLine ( )

Default constructor.

Definition at line 74 of file vpLine.cpp.

References init().

Referenced by duplicate().

virtual vpLine::~vpLine ( )

inlinevirtual

Destructor.

Definition at line 133 of file vpLine.h.

Member Function Documentation

void vpLine::changeFrame	(	const vpHomogeneousMatrix &	cMo,
		vpColVector &	cP
	)

virtual

Computes the line parameters cP in the camera frame thanks to the line parameters oP given in the object frame and the homogeneous matrix relative to the pose between the camera frame and the object frame. Thus the computation gives the equations of the two planes needed to define the line in the desired frame thanks to the equations of the same two planes in the object frame.

In input of this method, the line parameters oP in the object frame are those from the vpForwardProjection::oP public attribute.

Parameters

cMo	: The homogeneous matrix relative to the pose between the desired frame and the object frame.
cP	: The vector which will contain the parameters of the two planes in the camera frame. $cP = \left[\begin{array}{c}A1 \\ B1 \\ C1 \\ D1 \\ A2 \\ B2 \\ C2 \\ D2 \end{array}\right]$

The code below shows how to use this method.

//Create the line
vpLine line;
//Set the coordinates of the line in the object frame in meter.
line.setWorldCoordinates( 1, 0, 0, -0.5, 0, 0, 1, 0.5)
//The line is define by the intersection between the plane X = 0.5m and Z = 0.5m
//Create the homogeneous matrix
vpHomogeneousMatrix cMo;
//Computes or set here the homogeneous matrix
//Creates the vector which will contain the line features
vpColVector cP(8);
//Computes the equations of the two planes in the camera frame
line.changeFrame(cMo, cP);

Implements vpForwardProjection.

Definition at line 366 of file vpLine.cpp.

References vpMatrix::getRows(), vpForwardProjection::oP, and vpColVector::resize().

Referenced by changeFrame(), vpMbtDistanceLine::computeInteractionMatrixError(), display(), vpMbtDistanceLine::initMovingEdge(), and vpMbtDistanceLine::updateMovingEdge().

void vpLine::changeFrame ( const vpHomogeneousMatrix & cMo )

virtual

Computes the line parameters cP in the camera frame thanks to the line parameters oP given in the object frame and the homogeneous matrix relative to the pose cMo between the object frame and the camera frame. Thus the computation gives the equations of the two planes needed to define the line in the camera frame thanks to the equations of the same two planes in the object frame.

In input of this method, the line parameters oP in the object frame are those from the vpForwardProjection::oP public attribute.

As a result of this method, line parameters cP in the camera frame are updated in the vpTracker::cP public attribute.

Parameters

cMo	: The homogeneous matrix corresponding to the pose between the camera frame and the object frame.

The code below shows how to use this method.

//Create the line
vpLine line;
//Set the coordinates of the line in the object frame in meter.
line.setWorldCoordinates( 1, 0, 0, -0.5, 0, 0, 1, 0.5)
//The line is define by the intersection between the plane X = 0.5m and Z = 0.5m
//Create the homogeneous matrix
vpHomogeneousMatrix cMo;
//Computes or set here the homogeneous matrix
//Computes the equations of the two planes in the camera frame
line.changeFrame(cMo);

Implements vpForwardProjection.

Definition at line 318 of file vpLine.cpp.

References changeFrame(), and vpTracker::cP.

void vpLine::display	(	const vpImage< unsigned char > &	I,
		const vpCameraParameters &	cam,
		const vpColor &	color = `vpColor::green`,
		const unsigned int	thickness = `1`
	)

virtual

Displays the line in the image I thanks to the 2D parameters of the line p in the image plane (vpTracker::p) and the camera parameters which enable to convert the parameters from meter to pixel.

Parameters

I	: The image where the line must be displayed.
cam	: The camera parameters to enable the conversion from meter to pixel.
color	: The desired color to display the line in the image.
thickness	: Thickness of the feature representation.

Implements vpForwardProjection.

Examples:: manGeometricFeatures.cpp.

Definition at line 507 of file vpLine.cpp.

References vpFeatureDisplay::displayLine(), and vpTracker::p.

void vpLine::display	(	const vpImage< unsigned char > &	I,
		const vpHomogeneousMatrix &	cMo,
		const vpCameraParameters &	cam,
		const vpColor &	color = `vpColor::green`,
		const unsigned int	thickness = `1`
	)

virtual

Displays the line in the image I thanks to the parameters in the object frame (vpForwardProjection::oP), the homogeneous matrix relative to the pose between the camera frame and the object frame and the camera parameters which enable to convert the features from meter to pixel.

Parameters

I	: The image where the line must be displayed in overlay.
cMo	: The homogeneous matrix corresponding to the pose between the camera frame and the object frame.
cam	: The camera parameters to enable the conversion from meter to pixel.
color	: The desired color to display the line in the image.
thickness	: Thickness of the feature representation.

Implements vpForwardProjection.

Definition at line 537 of file vpLine.cpp.

References changeFrame(), vpFeatureDisplay::displayLine(), and projection().

vpLine * vpLine::duplicate ( ) const

virtual

Create an object with the same type.

vpForwardProjection *fp;
vpLine line;
fp = line.duplicate(); // fp is now a vpLine

Implements vpForwardProjection.

Definition at line 562 of file vpLine.cpp.

References vpLine().

vpForwardProjectionDeallocatorType vpForwardProjection::getDeallocate ( )

inlineinherited

Definition at line 229 of file vpForwardProjection.h.

double vpLine::getRho ( ) const

inline

Gets the $\rho$ value corresponding to one of the two parameters used to define the line parametrization in the image plane.

Returns: Returns the current value of $\rho$ .

See also: getTheta()

Examples:: servoAfma6Line2DCamVelocity.cpp.

Definition at line 177 of file vpLine.h.

Referenced by vpFeatureBuilder::create(), vpMbtDistanceLine::initMovingEdge(), and vpMbtDistanceLine::updateMovingEdge().

double vpLine::getTheta ( ) const

inline

Gets the $\theta$ angle value corresponding to one of the two parameters used to define the line parametrization in the image plane.

Returns: Returns the current value of $\theta$ .

See also: getRho()

Definition at line 166 of file vpLine.h.

Referenced by vpFeatureBuilder::create(), vpMbtDistanceLine::initMovingEdge(), and vpMbtDistanceLine::updateMovingEdge().

void vpLine::init ( void )

virtual

Initialize the memory space requested for the 2D line parameters (p) in the image plane and for 3D line parameters (oP and cP) respectively in the object frame and the camera frame.

Implements vpForwardProjection.

Definition at line 64 of file vpLine.cpp.

References vpTracker::cP, vpForwardProjection::oP, vpTracker::p, and vpColVector::resize().

Referenced by vpLine().

void vpForwardProjection::print ( ) const

virtualinherited

Print to stdout the feature parameters in:

the object frame
the camera frame
the image plane.

Examples:: servoSimuCircle2DCamVelocityDisplay.cpp, servoSimuLine2DCamVelocityDisplay.cpp, servoSimuSquareLine2DCamVelocityDisplay.cpp, and testPoseRansac.cpp.

Definition at line 63 of file vpForwardProjection.cpp.

References vpTracker::cP, vpForwardProjection::oP, vpTracker::p, and vpColVector::t().

void vpForwardProjection::project ( )

inherited

Compute the feature parameters in the image plane (vpTracker::p) from the parameters in the camera frame (vpTracker::cP).

Warning: Be careful to update vpTracker::p and vpTracker::cP public attributes before the call of this method.

Examples:: homographyHartleyDLT2DObject.cpp, homographyHLM2DObject.cpp, homographyHLM3DObject.cpp, homographyRansac2DObject.cpp, manGeometricFeatures.cpp, manServo4PointsDisplay.cpp, manSimu4Points.cpp, servoAfma62DhalfCamVelocity.cpp, servoAfma6Cylinder2DCamVelocity.cpp, servoAfma6Cylinder2DCamVelocitySecondaryTask.cpp, servoAfma6Line2DCamVelocity.cpp, servoAfma6SquareLines2DCamVelocity.cpp, servoAfma6TwoLines2DCamVelocity.cpp, servoPioneerPanSegment3D.cpp, simulateFourPoints2DPolarCamVelocity.cpp, testFeatureSegment.cpp, testFindMatch.cpp, testPose.cpp, testPoseFeatures.cpp, and testPoseRansac.cpp.

Definition at line 79 of file vpForwardProjection.cpp.

References vpTracker::cP, vpTracker::p, and vpForwardProjection::projection().

Referenced by vpForwardProjection::track().

void vpForwardProjection::project ( const vpHomogeneousMatrix & cMo )

inherited

Compute the feature parameters in the camera frame (vpTracker::cP) and than compute the projection of these parameters in the image plane (vpTracker::p).

Warning: The feature parameters in the object frame (vpForwardProjection:oP) need to be set prior the use of this method. To initialize these parameters see setWorldCoordinates().

Parameters

cMo	: The homogeneous matrix corresponding to the pose between the camera frame and the object frame.

Definition at line 99 of file vpForwardProjection.cpp.

References vpForwardProjection::changeFrame(), vpForwardProjection::projection(), and vpERROR_TRACE.

void vpLine::projection ( )

virtual

Computes the 2D parameters p of the line in the image plane thanks to the 3D line parameters cP in the camera frame located in the vpTracker::cP public attribute. The parameters $p=(\rho, \theta)$ are updated in the vpTracker::p public attribute.

Warning: To compute these parameters p, the method exploit the feature parameters cP in the camera frame. Thus, vpTracker::cP need to be updated before the call of this method. For that, a call to changeFrame(const vpHomogeneousMatrix &) is requested.

The code below shows how to use this method.

//Create the line
vpLine line;
//Set the coordinates of the line in the object frame in meter.
line.setWorldCoordinates( 1, 0, 0, -0.5, 0, 0, 1, 0.5)
//Here the line is define by the intersection between the plane X = 0.5m and Z = 0.5m
//Create the homogeneous matrix
vpHomogeneousMatrix cMo;
//Computes or set here the homogeneous matrix
//Computes the equations of the two planes in the camera frame
line.changeFrame(cMo);
//Computes the line features in the camera frame( rho and theta)
line.projection();

Implements vpForwardProjection.

Definition at line 216 of file vpLine.cpp.

References vpTracker::cP, and vpTracker::p.

Referenced by vpMbtDistanceLine::computeInteractionMatrixError(), display(), vpMbtDistanceLine::initMovingEdge(), and vpMbtDistanceLine::updateMovingEdge().

void vpLine::projection	(	const vpColVector &	cP,
		vpColVector &	p
	)

virtual

Computes the 2D parameters p of the line in the image plane thanks to the 3D line features cP expressed in the camera frame. The image plane parameters $p=(\rho , \theta)$ are updated in output.

Parameters

cP	: The vector containing the line features relative to the camera frame. $cP = \left[\begin{array}{c}A1 \\ B1 \\ C1 \\ D1 \\ A2 \\ B2 \\ C2 \\ D2 \end{array}\right]$
p	: The vector which contains the 2D line features expressed in the image plane. $p = \left[\begin{array}{c} \rho \\ \theta \end{array}\right]$

Exceptions

vpException::fatalError : Degenerate case, the image of the straight line is a point.

Implements vpForwardProjection.

Definition at line 240 of file vpLine.cpp.

References vpException::dimensionError, vpException::fatalError, vpMatrix::getRows(), and vpColVector::resize().

void vpForwardProjection::setDeallocate ( vpForwardProjectionDeallocatorType d )

inlineinherited

Definition at line 228 of file vpForwardProjection.h.

void vpLine::setRho ( const double rho )

inline

Sets the $\rho$ parameter used to define the line in the image plane.

Parameters

rho	: The desired value for $\rho$ .

See also: setTheta()

Examples:: servoAfma6Line2DCamVelocity.cpp, servoAfma6SquareLines2DCamVelocity.cpp, and servoAfma6TwoLines2DCamVelocity.cpp.

Definition at line 144 of file vpLine.h.

void vpLine::setTheta ( const double theta )

inline

Sets the $\theta$ angle value used to define the line in the image plane.

Parameters

theta : The desired value for $\theta$ angle.

See also: setRho()

Examples:: servoAfma6Line2DCamVelocity.cpp, servoAfma6SquareLines2DCamVelocity.cpp, and servoAfma6TwoLines2DCamVelocity.cpp.

Definition at line 154 of file vpLine.h.

void vpLine::setWorldCoordinates	(	const double &	A1,
		const double &	B1,
		const double &	C1,
		const double &	D1,
		const double &	A2,
		const double &	B2,
		const double &	C2,
		const double &	D2
	)

Sets the parameters oP which define the line in the object frame. As said in the class description, the line is defined as the intersection of two planes. The different parameters here define the equations of the two planes in the object frame. They are used to set the vpForwardProjection::oP public attribute.

$A1 X + B1 Y + C1 Z +D1 = 0$

$A2 X + B2 Y + C2 Z +D2 = 0$

Here $ (X, Y, Z) $ are the 3D coordinates in the object frame.

Parameters

A1,B1,C1,D1	: The parameters used to define the first plane.
A2,B2,C2,D2	: The parameters used to define the second plane.

Examples:: manGeometricFeatures.cpp, servoAfma6Line2DCamVelocity.cpp, servoAfma6SquareLines2DCamVelocity.cpp, servoAfma6TwoLines2DCamVelocity.cpp, servoSimuLine2DCamVelocityDisplay.cpp, servoSimuSquareLine2DCamVelocityDisplay.cpp, and testPoseFeatures.cpp.

Definition at line 98 of file vpLine.cpp.

References vpForwardProjection::oP.

void vpLine::setWorldCoordinates	(	const vpColVector &	oP1,
		const vpColVector &	oP2
	)

Sets the parameters oP which define the line in the object frame. As said in the class description, the line is defined as the intersection of two planes. Eight parameters are required to define the equations of the two planes in the object frame. They are used to set the vpForwardProjection::oP public attribute.

$A1 X + B1 Y + C1 Z +D1 = 0$

$A2 X + B2 Y + C2 Z +D2 = 0$

Here $ (X, Y, Z) $ are the 3D coordinates in the object frame.

Parameters

oP1	: The column vector which contains the four parameters needed to define the equations of the first plane. $oP1 = \left[\begin{array}{c}A1 \\ B1 \\ C1 \\ D1 \end{array}\right]$
oP2	: The column vector which contains the four parameters needed to define the equations of the second plane. $oP2 = \left[\begin{array}{c} A2 \\ B2 \\ C2 \\ D2 \end{array}\right]$

Definition at line 165 of file vpLine.cpp.

References vpException::dimensionError, vpMatrix::getRows(), and vpForwardProjection::oP.

void vpLine::setWorldCoordinates ( const vpColVector & oP )

virtual

Sets the parameters oP which define the line in the object frame. As said in the class description, the line is defined as the intersection of two planes. Eight parameters are required to define the equations of the two planes in the object frame. They are used to set the vpForwardProjection::oP public attribute.

$A1 X + B1 Y + C1 Z +D1 = 0$

$A2 X + B2 Y + C2 Z +D2 = 0$

Here $ (X, Y, Z) $ are the 3D coordinates in the object frame.

Parameters

oP	: The column vector which contains the eight parameters needed to define the equations of the two planes in the object frame. $oP = \left[\begin{array}{c}A1 \\ B1 \\ C1 \\ D1 \\ A2 \\ B2 \\ C2 \\ D2 \end{array}\right]$

Implements vpForwardProjection.

Definition at line 134 of file vpLine.cpp.

References vpException::dimensionError, vpMatrix::getRows(), and vpForwardProjection::oP.

void vpForwardProjection::track ( const vpHomogeneousMatrix & cMo )

inherited

Track the feature parameters in the camera frame (vpTracker::cP) and than compute the projection of these parameters in the image plane (vpTracker::p).

This method is similar to project(const vpHomogeneousMatrix &).

Warning: The feature parameters in the object frame (vpForwardProjection:oP) need to be set prior the use of this method. To initialize these parameters see setWorldCoordinates().

Parameters