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vpTemplateTrackerWarpAffine Class Reference
tracker: ViSP trackers » tt: Template tracker module » Warping function

#include <vpTemplateTrackerWarpAffine.h>

+ Inheritance diagram for vpTemplateTrackerWarpAffine:

Public Member Functions

 vpTemplateTrackerWarpAffine ()
 
void dWarp (const vpColVector &X, const vpColVector &, const vpColVector &, vpMatrix &dM)
 
void dWarpCompo (const vpColVector &, const vpColVector &, const vpColVector &p, const double *dwdp0, vpMatrix &dM)
 
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)
 
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 affine warping model $M$ with parameters $p=(a_1, a_2, a_3, a_4, a_5, a_6)$ such as

\[M(p) = \left[ \begin{array}{ccc} a_1 + 1 & a_3 & a_5 \\ a_2 & a_4 + 1 & a_6 \end{array} \right] \]

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.

Definition at line 68 of file vpTemplateTrackerWarpAffine.h.

Constructor & Destructor Documentation

vpTemplateTrackerWarpAffine::vpTemplateTrackerWarpAffine ( )

Construct a model with 6 affine parameters initialized to zero.

Definition at line 45 of file vpTemplateTrackerWarpAffine.cpp.

References vpTemplateTrackerWarp::nbParam.

Member Function Documentation

void vpTemplateTrackerWarpAffine::dWarp ( const vpColVector &  X,
const vpColVector &  ,
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-6 matrix.

Implements vpTemplateTrackerWarp.

Definition at line 165 of file vpTemplateTrackerWarpAffine.cpp.

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

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

Parameters
p: 6-dim vector that contains the parameters of the warping function.
dwdp0: 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-6 matrix.

Implements vpTemplateTrackerWarp.

Definition at line 191 of file vpTemplateTrackerWarpAffine.cpp.

References vpTemplateTrackerWarp::nbParam.

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().

void vpTemplateTrackerWarpAffine::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 90 of file vpTemplateTrackerWarpAffine.cpp.

void vpTemplateTrackerWarpAffine::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-6 derivative matrix.

Implements vpTemplateTrackerWarp.

Definition at line 111 of file vpTemplateTrackerWarpAffine.cpp.

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(), vpTemplateTrackerWarpHomography::getParam(), vpTemplateTrackerMIInverseCompositional::trackNoPyr(), and vpTemplateTracker::vpTemplateTracker().

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

Compute inverse of the warping transformation.

Parameters
p: 6-dim vector that contains the parameters corresponding to the transformation to inverse.
p_inv: 6-dim vector that contains the parameters of the inverse transformation $ {M(p)}^{-1}$.

Implements vpTemplateTrackerWarp.

Definition at line 219 of file vpTemplateTrackerWarpAffine.cpp.

References vpException::fatalError.

void vpTemplateTrackerWarpAffine::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: 6-dim vector that contains the current parameters of the warping function.
p_down: 6-dim vector that contains the resulting parameters one level down.

Implements vpTemplateTrackerWarp.

Definition at line 56 of file vpTemplateTrackerWarpAffine.cpp.

void vpTemplateTrackerWarpAffine::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: 6-dim vector that contains the current parameters of the warping function.
p_up: 6-dim vector that contains the resulting parameters one level up.

Implements vpTemplateTrackerWarp.

Definition at line 72 of file vpTemplateTrackerWarpAffine.cpp.

bool vpTemplateTrackerWarpAffine::isESMcompatible ( ) const
inlinevirtual

Tells if the warping function is ESM compatible.

Returns
false. Affine model is not compatible with ESM.

Implements vpTemplateTrackerWarp.

Definition at line 92 of file vpTemplateTrackerWarpAffine.h.

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

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

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

Parameters
p1: 6-dim vector that contains the parameters corresponding to first transformation.
p2: 6-dim vector that contains the parameters corresponding to second transformation.
p12: 6-dim vector that contains the resulting transformation $ p_{12} = p_1 \circ p_2$.

Implements vpTemplateTrackerWarp.

Definition at line 253 of file vpTemplateTrackerWarpAffine.cpp.

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.

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().

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().

void vpTemplateTrackerWarpAffine::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: 6-dim vector that contains the parameters of the transformation.

Implements vpTemplateTrackerWarp.

Definition at line 150 of file vpTemplateTrackerWarpAffine.cpp.

void vpTemplateTrackerWarpAffine::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: 6-dim vector that contains the parameters of the transformation.

Implements vpTemplateTrackerWarp.

Definition at line 137 of file vpTemplateTrackerWarpAffine.cpp.

void vpTemplateTrackerWarpAffine::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 207 of file vpTemplateTrackerWarpAffine.cpp.

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

double vpTemplateTrackerWarp::denom
protectedinherited

Internal value used by homography warp model.

Definition at line 61 of file vpTemplateTrackerWarp.h.

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

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