Visual Servoing Platform  version 3.5.0 under development (2022-02-15)
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vpTemplateTrackerWarpHomography Class Reference
tracker: ViSP trackers » tt: Template tracker module » Warping function

#include <visp3/tt/vpTemplateTrackerWarpHomography.h>

+ Inheritance diagram for vpTemplateTrackerWarpHomography:

Public Member Functions

 vpTemplateTrackerWarpHomography ()
 
void computeDenom (vpColVector &X, const vpColVector &p)
 
void dWarp (const vpColVector &, const vpColVector &X, const vpColVector &, vpMatrix &dW)
 
void dWarpCompo (const vpColVector &X, const vpColVector &, const vpColVector &p, const double *dwdp0, vpMatrix &dW)
 
void getdW0 (const int &v, const int &u, const double &dv, const double &du, double *dIdW)
 
void getdWdp0 (const int &v, const int &u, double *dIdW)
 
vpHomography getHomography (const vpColVector &ParamM) const
 
void getParam (const vpHomography &H, vpColVector &p) const
 
void getParam (const vpMatrix &H, vpColVector &p) const
 
void getParamInverse (const vpColVector &p, vpColVector &p_inv) const
 
void getParamPyramidDown (const vpColVector &p, vpColVector &p_down)
 
void getParamPyramidUp (const vpColVector &p, vpColVector &p_up)
 
bool isESMcompatible () const
 
void pRondp (const vpColVector &p1, const vpColVector &p2, vpColVector &p12) const
 
void warpX (const vpColVector &X1, vpColVector &X2, const vpColVector &p)
 
void warpX (const int &v1, const int &u1, double &v2, double &u2, const vpColVector &p)
 
void warpXInv (const vpColVector &X1, vpColVector &X2, const vpColVector &p)
 
Inherited functionalities from vpTemplateTrackerWarp
double getDistanceBetweenZoneAndWarpedZone (const vpTemplateTrackerZone &Z, const vpColVector &p)
 
unsigned int getNbParam () const
 
void setNbParam (unsigned int nb)
 
void warp (const double *ut0, const double *vt0, int nb_pt, const vpColVector &p, double *u, double *v)
 
void warpTriangle (const vpTemplateTrackerTriangle &in, const vpColVector &p, vpTemplateTrackerTriangle &out)
 
void warpZone (const vpTemplateTrackerZone &in, const vpColVector &p, vpTemplateTrackerZone &out)
 

Protected Attributes

double denom
 
unsigned int nbParam
 

Detailed Description

This class consider the homography warping model $M$ with parameters $p=(h_1, h_2, h_3, h_4, h_5, h_6, h_7, h_8)$ such as

\[M(p) = \left[ \begin{array}{ccc} h_1 + 1 & h_4 & h_7 \\ h_2 & h_5 + 1 & h_8 \\ h_3 & h_6 & 1 \end{array} \right] \]

We recall that u axis is the image horizontal axis, and v axis is the image vertical axis. A point (u,v) with coordinates (0,0) is located in the top left image corner.

Examples:
templateTracker.cpp, and tutorial-template-tracker.cpp.

Definition at line 70 of file vpTemplateTrackerWarpHomography.h.

Constructor & Destructor Documentation

◆ vpTemplateTrackerWarpHomography()

vpTemplateTrackerWarpHomography::vpTemplateTrackerWarpHomography ( )

Construct an homography model with 8 parameters initialized to zero.

Definition at line 46 of file vpTemplateTrackerWarpHomography.cpp.

References vpTemplateTrackerWarp::nbParam.

Member Function Documentation

◆ computeDenom()

void vpTemplateTrackerWarpHomography::computeDenom ( vpColVector &  X,
const vpColVector &  p 
)

Compute the projection denominator (Z) used in x = X/Z and y = Y/Z.

Parameters
X: Point with coordinates (u, v) to consider.
p: 8-dim vector that contains the current parameters of the warping function.
See also
warpX(const vpColVector &, vpColVector &, const vpColVector &)
warpX(const int &, const int &, double &, double &, const vpColVector &)
dWarp(), dWarpCompo()

Definition at line 151 of file vpTemplateTrackerWarpHomography.cpp.

References vpTemplateTrackerWarp::denom, and vpTrackingException::fatalError.

◆ dWarp()

void vpTemplateTrackerWarpHomography::dWarp ( const vpColVector &  X,
const vpColVector &  X,
const vpColVector &  ,
vpMatrix &  dM 
)
virtual

Compute the derivative matrix of the warping function at point $X=(u,v)$ according to the model parameters:

\[ \frac{\partial M}{\partial p}(X, p) \]

Parameters
X: 2-dim vector corresponding to the coordinates $(u_1, v_1)$ of the point to consider in the derivative computation.
dM: Resulting warping model derivative returned as a 2-by-8 matrix.
See also
computeDenom()

Implements vpTemplateTrackerWarp.

Definition at line 204 of file vpTemplateTrackerWarpHomography.cpp.

References vpTemplateTrackerWarp::denom.

◆ dWarpCompo()

void vpTemplateTrackerWarpHomography::dWarpCompo ( const vpColVector &  X,
const vpColVector &  X,
const vpColVector &  p,
const double *  dwdp0,
vpMatrix &  dM 
)
virtual

Compute the compositionnal derivative matrix of the warping function according to the model parameters.

Parameters
X: 2-dim vector corresponding to the coordinates $(u_1, v_1)$ of the point to consider in the derivative computation.
p: 8-dim vector that contains the parameters of the warping function.
dwdp0: 2-by-8 derivative matrix of the warping function according to the initial warping function parameters (p=0).
dM: Resulting warping model compositionnal derivative returned as a 2-by-8 matrix.
See also
computeDenom()

Implements vpTemplateTrackerWarp.

Definition at line 235 of file vpTemplateTrackerWarpHomography.cpp.

References vpTemplateTrackerWarp::denom, and vpTemplateTrackerWarp::nbParam.

◆ getDistanceBetweenZoneAndWarpedZone()

double vpTemplateTrackerWarp::getDistanceBetweenZoneAndWarpedZone ( const vpTemplateTrackerZone &  Z,
const vpColVector &  p 
)
inherited

Compute the distance between a zone and its associated warped zone.

Parameters
Z: Zone to consider.
p: Parameters of the warping function.

Definition at line 73 of file vpTemplateTrackerWarp.cpp.

References vpTemplateTrackerTriangle::getCorner(), vpTemplateTrackerZone::getNbTriangle(), vpTemplateTrackerZone::getTriangle(), and vpTemplateTrackerWarp::warpX().

◆ getdW0()

void vpTemplateTrackerWarpHomography::getdW0 ( const int &  v,
const int &  u,
const double &  dv,
const double &  du,
double *  dIdW 
)
virtual

Compute the derivative of the image with relation to the warping function parameters.

Parameters
v: Coordinate (along the image rows axis) of the point to consider in the image.
u: Coordinate (along the image columns axis) of the point to consider in the image.
dv: Derivative on the v-axis (along the rows) of the point (u,v).
du: Derivative on the u-axis (along the columns) of the point (u,v).
dIdW: Resulting derivative matrix (image according to the warping function).

Implements vpTemplateTrackerWarp.

Definition at line 95 of file vpTemplateTrackerWarpHomography.cpp.

◆ getdWdp0()

void vpTemplateTrackerWarpHomography::getdWdp0 ( const int &  v,
const int &  u,
double *  dIdW 
)
virtual

Compute the derivative of the warping model $M$ according to the initial parameters $p_0$ at point $X=(u,v)$:

\[ \frac{\partial M}{\partial p}(X, p_0) \]

Parameters
v: Coordinate (along the image rows axis) of the point X(u,v) to consider in the image.
u: Coordinate (along the image columns axis) of the point X(u,v) to consider in the image.
dIdW: Resulting 2-by-8 derivative matrix.

Implements vpTemplateTrackerWarp.

Definition at line 120 of file vpTemplateTrackerWarpHomography.cpp.

◆ getHomography()

vpHomography vpTemplateTrackerWarpHomography::getHomography ( const vpColVector &  p) const

Return the homography corresponding to the parameters.

Parameters
p: 8-dim vector that contains the parameters corresponding to the transformation to inverse.
Returns
Corresponding homography.
Examples:
tutorial-template-tracker.cpp.

Definition at line 313 of file vpTemplateTrackerWarpHomography.cpp.

◆ getNbParam()

unsigned int vpTemplateTrackerWarp::getNbParam ( ) const
inlineinherited

Get the number of parameters of the warping function.

Returns
Number of parameters.

Definition at line 217 of file vpTemplateTrackerWarp.h.

Referenced by vpTemplateTracker::computeOptimalBrentGain(), getParam(), vpTemplateTrackerMIInverseCompositional::trackNoPyr(), and vpTemplateTracker::vpTemplateTracker().

◆ getParam() [1/2]

void vpTemplateTrackerWarpHomography::getParam ( const vpHomography &  H,
vpColVector &  p 
) const

Compute the parameters corresponding to an homography.

Parameters
[in]H: Homography
[out]p: 8-dim vector corresponding to the homography.

Definition at line 334 of file vpTemplateTrackerWarpHomography.cpp.

References vpTemplateTrackerWarp::getNbParam(), and vpColVector::resize().

◆ getParam() [2/2]

void vpTemplateTrackerWarpHomography::getParam ( const vpMatrix &  H,
vpColVector &  p 
) const

Compute the parameters corresponding to an homography as a 3-by-3 matrix.

Parameters
[in]H: 3-by-3 matrix corresponding to an homography
[out]p: 8-dim vector corresponding to the homography.

Definition at line 352 of file vpTemplateTrackerWarpHomography.cpp.

References vpTemplateTrackerWarp::getNbParam(), and vpColVector::resize().

◆ getParamInverse()

void vpTemplateTrackerWarpHomography::getParamInverse ( const vpColVector &  p,
vpColVector &  p_inv 
) const
virtual

Compute inverse of the warping transformation.

Parameters
p: 8-dim vector that contains the parameters corresponding to the transformation to inverse.
p_inv: 8-dim vector that contains the parameters of the inverse transformation $ {M(p)}^{-1}$.

Implements vpTemplateTrackerWarp.

Definition at line 278 of file vpTemplateTrackerWarpHomography.cpp.

References vpException::fatalError.

◆ getParamPyramidDown()

void vpTemplateTrackerWarpHomography::getParamPyramidDown ( const vpColVector &  p,
vpColVector &  p_down 
)
virtual

Get the parameters of the warping function one level down where image size is divided by two along the lines and the columns.

Parameters
p: 8-dim vector that contains the current parameters of the warping function.
p_down: 8-dim vector that contains the resulting parameters one level down.

Implements vpTemplateTrackerWarp.

Definition at line 57 of file vpTemplateTrackerWarpHomography.cpp.

◆ getParamPyramidUp()

void vpTemplateTrackerWarpHomography::getParamPyramidUp ( const vpColVector &  p,
vpColVector &  p_up 
)
virtual

Get the parameters of the warping function one level up where image size is multiplied by two along the lines and the columns.

Parameters
p: 8-dim vector that contains the current parameters of the warping function.
p_up: 8-dim vector that contains the resulting parameters one level up.

Implements vpTemplateTrackerWarp.

Definition at line 75 of file vpTemplateTrackerWarpHomography.cpp.

◆ isESMcompatible()

bool vpTemplateTrackerWarpHomography::isESMcompatible ( ) const
inlinevirtual

Tells if the warping function is ESM compatible.

Returns
false. Homography model is not compatible with ESM.

Implements vpTemplateTrackerWarp.

Definition at line 101 of file vpTemplateTrackerWarpHomography.h.

References vpTemplateTrackerWarp::pRondp(), vpTemplateTrackerWarp::warpX(), and vpTemplateTrackerWarp::warpXInv().

◆ pRondp()

void vpTemplateTrackerWarpHomography::pRondp ( const vpColVector &  p1,
const vpColVector &  p2,
vpColVector &  p12 
) const
virtual

Compute the transformation resulting from the composition of two other transformations.

Parameters
p1: 8-dim vector that contains the parameters corresponding to first transformation.
p2: 8-dim vector that contains the parameters corresponding to second transformation.
p12: 8-dim vector that contains the resulting transformation $ p_{12} = p_1 \circ p_2$.

Implements vpTemplateTrackerWarp.

Definition at line 373 of file vpTemplateTrackerWarpHomography.cpp.

◆ setNbParam()

void vpTemplateTrackerWarp::setNbParam ( unsigned int  nb)
inlineinherited

Set the number of parameters of the warping function.

Parameters
nb: New number of parameters.

Definition at line 224 of file vpTemplateTrackerWarp.h.

◆ warp()

void vpTemplateTrackerWarp::warp ( const double *  ut0,
const double *  vt0,
int  nb_pt,
const vpColVector &  p,
double *  u,
double *  v 
)
inherited

Warp a list of points.

Parameters
ut0: List of u coordinates of the points.
vt0: List of v coordinates of the points.
nb_pt: Number of points to consider.
p: Parameters of the warp.
u: Resulting u coordinates.
v: resulting v coordinates.

Definition at line 95 of file vpTemplateTrackerWarp.cpp.

References vpMatrix::AtA(), vpMatrix::computeHLM(), vpTemplateTrackerWarp::dWarp(), vpMatrix::inverseByLU(), vpTemplateTrackerWarp::nbParam, vpMatrix::t(), and vpTemplateTrackerWarp::warpX().

Referenced by vpTemplateTrackerWarpHomographySL3::getParamPyramidDown(), and vpTemplateTrackerWarpHomographySL3::getParamPyramidUp().

◆ warpTriangle()

void vpTemplateTrackerWarp::warpTriangle ( const vpTemplateTrackerTriangle &  in,
const vpColVector &  p,
vpTemplateTrackerTriangle &  out 
)
inherited

Warp a triangle and store the result in a new zone.

Parameters
in: Triangle to warp.
p: Parameters of the warping function. These parameters are estimated by the template tracker and returned using vpTemplateTracker::getp().
out: Resulting triangle.

Definition at line 42 of file vpTemplateTrackerWarp.cpp.

References vpException::dimensionError, vpTemplateTrackerTriangle::getCorners(), vpTemplateTrackerTriangle::init(), vpArray2D< Type >::size(), vpCTRACE, and vpTemplateTrackerWarp::warpX().

Referenced by vpTemplateTrackerWarp::warpZone().

◆ warpX() [1/2]

void vpTemplateTrackerWarpHomography::warpX ( const vpColVector &  X1,
vpColVector &  X2,
const vpColVector &  p 
)
virtual

Warp point $X_1=(u_1,v_1)$ using the transformation model.

\[X_2 = {^2}M_1(p) * X_1\]

Parameters
X1: 2-dim vector corresponding to the coordinates $(u_1, v_1)$ of the point to warp.
X2: 2-dim vector corresponding to the coordinates $(u_2, v_2)$ of the warped point.
p: 8-dim vector that contains the parameters of the transformation.
See also
computeDenom()

Implements vpTemplateTrackerWarp.

Definition at line 187 of file vpTemplateTrackerWarpHomography.cpp.

References vpTemplateTrackerWarp::denom.

◆ warpX() [2/2]

void vpTemplateTrackerWarpHomography::warpX ( const int &  v1,
const int &  u1,
double &  v2,
double &  u2,
const vpColVector &  p 
)
virtual

Warp point $X_1=(u_1,v_1)$ using the transformation model with parameters $p$.

\[X_2 = {^2}M_1(p) * X_1\]

Parameters
v1: Coordinate (along the image rows axis) of the point $X_1=(u_1,v_1)$ to warp.
u1: Coordinate (along the image columns axis) of the point $X_1=(u_1,v_1)$ to warp.
v2: Coordinate of the warped point $X_2=(u_2,v_2)$ along the image rows axis.
u2: Coordinate of the warped point $X_2=(u_2,v_2)$ along the image column axis.
p: 8-dim vector that contains the parameters of the transformation.

Implements vpTemplateTrackerWarp.

Definition at line 172 of file vpTemplateTrackerWarpHomography.cpp.

References vpTemplateTrackerWarp::denom.

◆ warpXInv()

void vpTemplateTrackerWarpHomography::warpXInv ( const vpColVector &  X1,
vpColVector &  X2,
const vpColVector &  p 
)
virtual

Warp a point X1 with the inverse transformation $M$.

\[ X_2 = {\left({^1}M_2\right)}^{-1} \; X_1\]

Parameters
X1: 2-dim vector corresponding to the coordinates (u,v) of the point to warp.
X2: 2-dim vector corresponding to the coordinates (u,v) of the warped point.
p: Parameters corresponding to the warping model ${^1}M_2$.

Implements vpTemplateTrackerWarp.

Definition at line 258 of file vpTemplateTrackerWarpHomography.cpp.

References vpTrackingException::fatalError.

◆ warpZone()

void vpTemplateTrackerWarp::warpZone ( const vpTemplateTrackerZone &  in,
const vpColVector &  p,
vpTemplateTrackerZone &  out 
)
inherited

Warp a zone and store the result in a new zone.

Parameters
in: Zone to warp.
p: Parameters of the warping function. These parameters are estimated by the template tracker and returned using vpTemplateTracker::getp().
out: Resulting zone.
Examples:
templateTracker.cpp.

Definition at line 62 of file vpTemplateTrackerWarp.cpp.

References vpTemplateTrackerZone::add(), vpTemplateTrackerZone::clear(), vpTemplateTrackerZone::getNbTriangle(), vpTemplateTrackerZone::getTriangle(), and vpTemplateTrackerWarp::warpTriangle().

Referenced by vpTemplateTracker::display().

Member Data Documentation

◆ denom

double vpTemplateTrackerWarp::denom
protectedinherited

Internal value used by homography warp model.

Definition at line 61 of file vpTemplateTrackerWarp.h.

Referenced by vpTemplateTrackerWarpHomographySL3::computeDenom(), computeDenom(), vpTemplateTrackerWarpHomographySL3::dWarp(), dWarp(), vpTemplateTrackerWarpHomographySL3::dWarpCompo(), dWarpCompo(), vpTemplateTrackerWarpHomographySL3::warpX(), and warpX().

◆ nbParam

unsigned int vpTemplateTrackerWarp::nbParam
protectedinherited

Number of parameters used to model warp transformation.

Definition at line 62 of file vpTemplateTrackerWarp.h.

Referenced by vpTemplateTrackerWarpHomographySL3::dWarpCompo(), vpTemplateTrackerWarpTranslation::dWarpCompo(), vpTemplateTrackerWarpRT::dWarpCompo(), vpTemplateTrackerWarpAffine::dWarpCompo(), vpTemplateTrackerWarpSRT::dWarpCompo(), dWarpCompo(), vpTemplateTrackerWarpHomographySL3::findWarp(), vpTemplateTrackerWarpHomographySL3::getdW0(), vpTemplateTrackerWarpHomographySL3::getdWdp0(), vpTemplateTrackerWarpAffine::vpTemplateTrackerWarpAffine(), vpTemplateTrackerWarpHomography(), vpTemplateTrackerWarpHomographySL3::vpTemplateTrackerWarpHomographySL3(), vpTemplateTrackerWarpRT::vpTemplateTrackerWarpRT(), vpTemplateTrackerWarpSRT::vpTemplateTrackerWarpSRT(), vpTemplateTrackerWarpTranslation::vpTemplateTrackerWarpTranslation(), and vpTemplateTrackerWarp::warp().