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Visual Servoing Platform version 3.6.0
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#include <vpNurbs.h>
Public Member Functions | |
vpNurbs () | |
vpNurbs (const vpNurbs &nurbs) | |
virtual | ~vpNurbs () |
void | get_weights (std::list< double > &list) const |
void | set_weights (const std::list< double > &list) |
vpImagePoint | computeCurvePoint (double u) |
vpImagePoint * | computeCurveDersPoint (double u, unsigned int der) |
void | curveKnotIns (double u, unsigned int s=0, unsigned int r=1) |
void | refineKnotVectCurve (double *x, unsigned int r) |
unsigned int | removeCurveKnot (double l_u, unsigned int l_r, unsigned int l_num, double l_TOL) |
void | globalCurveInterp (vpList< vpMeSite > &l_crossingPoints) |
void | globalCurveInterp (const std::list< vpImagePoint > &l_crossingPoints) |
void | globalCurveInterp (const std::list< vpMeSite > &l_crossingPoints) |
void | globalCurveInterp () |
void | globalCurveApprox (vpList< vpMeSite > &l_crossingPoints, unsigned int n) |
void | globalCurveApprox (const std::list< vpImagePoint > &l_crossingPoints, unsigned int n) |
void | globalCurveApprox (const std::list< vpMeSite > &l_crossingPoints, unsigned int n) |
void | globalCurveApprox (unsigned int n) |
unsigned int | get_p () const |
void | get_controlPoints (std::list< vpImagePoint > &list) const |
void | get_knots (std::list< double > &list) const |
void | get_crossingPoints (std::list< vpImagePoint > &list) const |
void | set_p (unsigned int degree) |
void | set_controlPoints (const std::list< vpImagePoint > &list) |
void | set_knots (const std::list< double > &list) |
void | set_crossingPoints (const std::list< vpImagePoint > &list) |
unsigned int | findSpan (double u) |
vpBasisFunction * | computeBasisFuns (double u) |
vpBasisFunction ** | computeDersBasisFuns (double u, unsigned int der) |
Static Public Member Functions | |
static vpImagePoint | computeCurvePoint (double l_u, unsigned int l_i, unsigned int l_p, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints, std::vector< double > &l_weights) |
static vpImagePoint * | computeCurveDersPoint (double l_u, unsigned int l_i, unsigned int l_p, unsigned int l_der, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints, std::vector< double > &l_weights) |
static void | curveKnotIns (double l_u, unsigned int l_k, unsigned int l_s, unsigned int l_r, unsigned int l_p, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints, std::vector< double > &l_weights) |
static void | refineKnotVectCurve (double *l_x, unsigned int l_r, unsigned int l_p, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints, std::vector< double > &l_weights) |
static unsigned int | removeCurveKnot (double l_u, unsigned int l_r, unsigned int l_num, double l_TOL, unsigned int l_s, unsigned int l_p, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints, std::vector< double > &l_weights) |
static void | globalCurveInterp (std::vector< vpImagePoint > &l_crossingPoints, unsigned int l_p, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints, std::vector< double > &l_weights) |
static void | globalCurveApprox (std::vector< vpImagePoint > &l_crossingPoints, unsigned int l_p, unsigned int l_n, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints, std::vector< double > &l_weights) |
static unsigned int | findSpan (double l_u, unsigned int l_p, std::vector< double > &l_knots) |
static vpBasisFunction * | computeBasisFuns (double l_u, unsigned int l_i, unsigned int l_p, std::vector< double > &l_knots) |
static vpBasisFunction ** | computeDersBasisFuns (double l_u, unsigned int l_i, unsigned int l_p, unsigned int l_der, std::vector< double > &l_knots) |
static vpImagePoint | computeCurvePoint (double l_u, unsigned int l_i, unsigned int l_p, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints) |
static vpImagePoint * | computeCurveDers (double l_u, unsigned int l_i, unsigned int l_p, unsigned int l_der, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints) |
Public Attributes | |
: std::vector<vpImagePoint> controlPoints | |
std::vector< double > | knots |
unsigned int | p |
std::vector< vpImagePoint > | crossingPoints |
Protected Member Functions | |
vpMatrix | computeCurveDers (double u, unsigned int der) |
Static Protected Member Functions | |
static vpMatrix | computeCurveDers (double l_u, unsigned int l_i, unsigned int l_p, unsigned int l_der, std::vector< double > &l_knots, std::vector< vpImagePoint > &l_controlPoints, std::vector< double > &l_weights) |
Protected Attributes | |
std::vector< double > | weights |
Class that provides tools to compute and manipulate a Non Uniform Rational B-Spline curve.
The different parameters are :
The B-Spline basis functions
where
It is possible to compute the coordinates of a point corresponding to the knots
You can find much more information about the B-Splines and the implementation of all the methods in the Nurbs Book.
vpNurbs::vpNurbs | ( | ) |
Basic constructor.
The degree
Definition at line 49 of file vpNurbs.cpp.
References vpBSpline::p.
vpNurbs::vpNurbs | ( | const vpNurbs & | nurbs | ) |
Copy constructor.
Definition at line 51 of file vpNurbs.cpp.
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virtual |
Destructor.
Definition at line 53 of file vpNurbs.cpp.
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staticinherited |
Compute the nonvanishing basis functions at
N =
l_u | : A real number which is between the extremities of the knot vector |
l_i | : the number of the knot interval in which ![]() |
l_p | : Degree of the B-Spline basis functions. |
l_knots | : The knot vector |
Definition at line 142 of file vpBSpline.cpp.
Referenced by vpBSpline::computeBasisFuns(), vpBSpline::computeCurvePoint(), vpBSpline::computeCurvePoint(), computeCurvePoint(), computeCurvePoint(), globalCurveApprox(), and globalCurveInterp().
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inherited |
Compute the nonvanishing basis functions at
N =
where i the number of the knot interval in which
u | : A real number which is between the extremities of the knot vector |
Definition at line 193 of file vpBSpline.cpp.
References vpBSpline::computeBasisFuns(), vpBSpline::findSpan(), vpBSpline::knots, and vpBSpline::p.
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staticinherited |
Compute the kth derivatives of
The formula used is the following :
where
l_u | : A real number which is between the extremities of the knot vector |
l_i | : the number of the knot interval in which ![]() |
l_p | : Degree of the B-Spline basis functions. |
l_der | : The last derivative to be computed. |
l_knots | : The knot vector |
l_controlPoints | : the list of control points. |
Definition at line 445 of file vpBSpline.cpp.
References vpBSpline::computeDersBasisFuns(), vpImagePoint::set_i(), vpImagePoint::set_ij(), vpImagePoint::set_j(), and vpTRACE.
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staticprotected |
This function is used in the computeCurveDersPoint method.
Compute the kth derivatives of
The formula used is the following :
where
l_u | : A real number which is between the extremities of the knot vector. |
l_i | : the number of the knot interval in which ![]() |
l_p | : Degree of the NURBS basis functions. |
l_der | : The last derivative to be computed. |
l_knots | : The knot vector. |
l_controlPoints | : the list of control points. |
l_weights | : the list of weights. |
Definition at line 104 of file vpNurbs.cpp.
References vpBSpline::computeDersBasisFuns().
Referenced by computeCurveDersPoint().
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protected |
This function is used in the computeCurveDersPoint method.
Compute the kth derivatives of
The formula used is the following :
where
u | : A real number which is between the extremities of the knot vector |
der | : The last derivative to be computed. |
Definition at line 132 of file vpNurbs.cpp.
References vpBSpline::computeDersBasisFuns(), vpBSpline::p, and weights.
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static |
Compute the kth derivatives of
To see how the derivatives are computed refers to the Nurbs book.
l_u | : A real number which is between the extremities of the knot vector. |
l_i | : the number of the knot interval in which ![]() |
l_p | : Degree of the NURBS basis functions. |
l_der | : The last derivative to be computed. |
l_knots | : The knot vector. |
l_controlPoints | : the list of control points. |
l_weights | : the list of weights. |
Definition at line 155 of file vpNurbs.cpp.
References vpMath::comb(), computeCurveDers(), vpImagePoint::get_i(), vpImagePoint::get_j(), vpImagePoint::set_i(), vpImagePoint::set_ij(), and vpImagePoint::set_j().
Referenced by computeCurveDersPoint(), vpMeNurbs::localReSample(), vpMeNurbs::sample(), vpMeNurbs::seekExtremities(), vpMeNurbs::seekExtremitiesCanny(), and vpMeNurbs::updateDelta().
vpImagePoint * vpNurbs::computeCurveDersPoint | ( | double | u, |
unsigned int | der ) |
Compute the kth derivatives of
To see how the derivatives are computed refers to the Nurbs book.
u | : A real number which is between the extremities of the knot vector |
der | : The last derivative to be computed. |
Definition at line 186 of file vpNurbs.cpp.
References computeCurveDersPoint(), vpBSpline::findSpan(), vpBSpline::knots, vpBSpline::p, and weights.
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staticinherited |
Compute the coordinates of a point
l_u | : A real number which is between the extremities of the knot vector |
l_i | : the number of the knot interval in which ![]() |
l_p | : Degree of the B-Spline basis functions. |
l_knots | : The knot vector |
l_controlPoints | : the list of control points. |
return the coordinates of a point corresponding to the knot
Definition at line 375 of file vpBSpline.cpp.
References vpBSpline::computeBasisFuns(), vpImagePoint::set_i(), and vpImagePoint::set_j().
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static |
Compute the coordinates of a point
l_u | : A real number which is between the extremities of the knot vector. |
l_i | : the number of the knot interval in which ![]() |
l_p | : Degree of the NURBS basis functions. |
l_knots | : The knot vector. |
l_controlPoints | : the list of control points. |
l_weights | : the list of weights. |
Definition at line 55 of file vpNurbs.cpp.
References vpBSpline::computeBasisFuns(), vpImagePoint::set_i(), and vpImagePoint::set_j().
Referenced by vpMeNurbs::display(), vpMeNurbs::display(), vpMeNurbs::localReSample(), vpMeNurbs::seekExtremitiesCanny(), vpMeNurbs::track(), and vpMeNurbs::updateDelta().
vpImagePoint vpNurbs::computeCurvePoint | ( | double | u | ) |
Compute the coordinates of a point
u | : A real number which is between the extremities of the knot vector |
return the coordinates of a point corresponding to the knot
Definition at line 80 of file vpNurbs.cpp.
References vpBSpline::computeBasisFuns(), vpBSpline::p, vpImagePoint::set_i(), vpImagePoint::set_j(), and weights.
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staticinherited |
Compute the nonzero basis functions and their derivatives until the
The result is given as an array of size l_der+1 x l_p+1. The kth line corresponds to the kth basis functions derivatives.
The formula to compute the kth derivative at
where
l_u | : A real number which is between the extremities of the knot vector |
l_i | : the number of the knot interval in which ![]() |
l_p | : Degree of the B-Spline basis functions. |
l_der | : The last derivative to be computed. |
l_knots | : The knot vector |
Example : return[0] is the list of the 0th derivatives ie the basis functions. return[k] is the list of the kth derivatives.
Definition at line 228 of file vpBSpline.cpp.
References vpTRACE.
Referenced by vpBSpline::computeCurveDers(), vpBSpline::computeCurveDers(), computeCurveDers(), computeCurveDers(), and vpBSpline::computeDersBasisFuns().
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inherited |
Compute the nonzero basis functions and their derivatives until the
The result is given as an array of size der+1 x p+1. The kth line corresponds to the kth basis functions derivatives.
The formula to compute the kth derivative at
where
u | : A real number which is between the extremities of the knot vector |
der | : The last derivative to be computed. |
Example : return[0] is the list of the 0th derivatives ie the basis functions. return[k] is the list of the kth derivatives.
Definition at line 358 of file vpBSpline.cpp.
References vpBSpline::computeDersBasisFuns(), vpBSpline::findSpan(), vpBSpline::knots, and vpBSpline::p.
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static |
Insert
Of course the knot vector changes. But The list of control points and the list of the associated weights change too.
l_u | : A real number which is between the extremities of the knot vector and which has to be inserted. |
l_k | : The number of the knot interval in which ![]() |
l_s | : Multiplicity of ![]() |
l_r | : Number of times ![]() |
l_p | : Degree of the NURBS basis functions. |
l_knots | : The knot vector |
l_controlPoints | : the list of control points. |
l_weights | : the list of weights. |
Definition at line 193 of file vpNurbs.cpp.
References vpImagePoint::set_ij().
Referenced by curveKnotIns().
void vpNurbs::curveKnotIns | ( | double | u, |
unsigned int | s = 0, | ||
unsigned int | r = 1 ) |
Insert
Of course the knot vector changes. But The list of control points and the list of the associated weights change too.
u | : A real number which is between the extremities of the knot vector and which has to be inserted. |
s | : Multiplicity of ![]() |
r | : Number of times ![]() |
Definition at line 245 of file vpNurbs.cpp.
References curveKnotIns(), vpBSpline::findSpan(), vpBSpline::knots, vpBSpline::p, and weights.
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staticinherited |
Find the knot interval in which the parameter
Example : The knot vector is the following
l_u | : The knot whose knot interval is seeked. |
l_p | : Degree of the B-Spline basis functions. |
l_knots | : The knot vector |
Definition at line 79 of file vpBSpline.cpp.
References vpMath::maximum(), and vpMath::round().
Referenced by vpBSpline::computeBasisFuns(), computeCurveDersPoint(), vpBSpline::computeDersBasisFuns(), curveKnotIns(), vpBSpline::findSpan(), globalCurveApprox(), globalCurveInterp(), and refineKnotVectCurve().
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inherited |
Find the knot interval in which the parameter
Example : The knot vector is the following
u | : The knot whose knot interval is seeked. |
Definition at line 123 of file vpBSpline.cpp.
References vpBSpline::findSpan(), vpBSpline::knots, and vpBSpline::p.
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inlineinherited |
Gets all the control points.
list | : A std::list containing the coordinates of the control points. |
Definition at line 135 of file vpBSpline.h.
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inlineinherited |
Gets all the crossing points (used in the interpolation method)
list | : A std::list containing the coordinates of the crossing points. |
Definition at line 162 of file vpBSpline.h.
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inlineinherited |
Gets all the knots.
list | : A std::list containing the value of the knots. |
Definition at line 148 of file vpBSpline.h.
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inlineinherited |
Gets the degree of the B-Spline.
Definition at line 127 of file vpBSpline.h.
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inline |
Gets all the weights relative to the control points.
list | [out] : A std::list containing weights relative to the control points. |
void vpNurbs::globalCurveApprox | ( | const std::list< vpImagePoint > & | l_crossingPoints, |
unsigned int | n ) |
Method which enables to compute a NURBS curve approximating a set of data points.
The data points are approximated thanks to a least square method.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
l_crossingPoints | : The list of data points which have to be interpolated. |
n | : The desired number of control points. The parameter n must be under or equal to the number of data points. |
Definition at line 727 of file vpNurbs.cpp.
References globalCurveApprox(), vpBSpline::knots, vpBSpline::p, and weights.
void vpNurbs::globalCurveApprox | ( | const std::list< vpMeSite > & | l_crossingPoints, |
unsigned int | n ) |
Method which enables to compute a NURBS curve approximating a set of data points.
The data points are approximated thanks to a least square method.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
l_crossingPoints | : The list of data points which have to be interpolated. |
n | : The desired number of control points. This parameter n must be under or equal to the number of data points. |
Definition at line 736 of file vpNurbs.cpp.
References globalCurveApprox(), vpBSpline::knots, vpBSpline::p, and weights.
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static |
Method which enables to compute a NURBS curve approximating a set of data points.
The data points are approximated thanks to a least square method.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
l_crossingPoints | : The list of data points which have to be interpolated. |
l_p | : Degree of the NURBS basis functions. |
l_n | : The desired number of control points. l_n must be under or equal to the number of data points. |
l_knots | : The knot vector. |
l_controlPoints | : the list of control points. |
l_weights | : the list of weights. |
Definition at line 594 of file vpNurbs.cpp.
References vpMatrix::AtA(), vpBSpline::computeBasisFuns(), vpBSpline::findSpan(), vpMatrix::pseudoInverse(), and vpImagePoint::set_ij().
Referenced by globalCurveApprox(), globalCurveApprox(), globalCurveApprox(), globalCurveApprox(), and vpMeNurbs::track().
void vpNurbs::globalCurveApprox | ( | unsigned int | n | ) |
Method which enables to compute a NURBS curve approximating a set of data points.
The data points are approximated thanks to a least square method.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
Definition at line 746 of file vpNurbs.cpp.
References vpBSpline::crossingPoints, globalCurveApprox(), vpBSpline::knots, vpBSpline::p, and weights.
Method which enables to compute a NURBS curve approximating a set of data points.
The data points are approximated thanks to a least square method.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
l_crossingPoints | : The list of data points which have to be interpolated. |
n | : The desired number of control points. This parameter n must be under or equal to the number of data points. |
Definition at line 713 of file vpNurbs.cpp.
References vpList< type >::front(), globalCurveApprox(), vpMeSite::ifloat, vpMeSite::jfloat, vpBSpline::knots, vpList< type >::next(), vpList< type >::outside(), vpBSpline::p, vpList< type >::value(), and weights.
void vpNurbs::globalCurveInterp | ( | ) |
Method which enables to compute a NURBS curve passing through a set of data points.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
Definition at line 592 of file vpNurbs.cpp.
References vpBSpline::crossingPoints, globalCurveInterp(), vpBSpline::knots, vpBSpline::p, and weights.
Referenced by globalCurveInterp(), globalCurveInterp(), globalCurveInterp(), and globalCurveInterp().
void vpNurbs::globalCurveInterp | ( | const std::list< vpImagePoint > & | l_crossingPoints | ) |
Method which enables to compute a NURBS curve passing through a set of data points.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
l_crossingPoints | : The list of data points which have to be interpolated. |
Definition at line 563 of file vpNurbs.cpp.
References globalCurveInterp(), vpBSpline::knots, vpBSpline::p, and weights.
void vpNurbs::globalCurveInterp | ( | const std::list< vpMeSite > & | l_crossingPoints | ) |
Method which enables to compute a NURBS curve passing through a set of data points.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
l_crossingPoints | : The list of data points which have to be interpolated. |
Definition at line 573 of file vpNurbs.cpp.
References vpImagePoint::distance(), globalCurveInterp(), vpMeSite::ifloat, vpMeSite::jfloat, vpBSpline::knots, vpBSpline::p, and weights.
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static |
Method which enables to compute a NURBS curve passing through a set of data points.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
l_crossingPoints | : The list of data points which have to be interpolated. |
l_p | : Degree of the NURBS basis functions. This value need to be > 0. |
l_knots | : The knot vector. |
l_controlPoints | : The list of control points. |
l_weights | : the list of weights. |
Definition at line 465 of file vpNurbs.cpp.
References vpException::badValue, vpBSpline::computeBasisFuns(), vpBSpline::findSpan(), vpMatrix::pseudoInverse(), and vpImagePoint::set_ij().
Referenced by vpMeNurbs::initTracking().
Method which enables to compute a NURBS curve passing through a set of data points.
The result of the method is composed by a knot vector, a set of control points and a set of associated weights.
l_crossingPoints | : The list of data points which have to be interpolated. |
Definition at line 542 of file vpNurbs.cpp.
References vpImagePoint::distance(), vpList< type >::front(), globalCurveInterp(), vpMeSite::ifloat, vpMeSite::jfloat, vpBSpline::knots, vpList< type >::next(), vpList< type >::outside(), vpBSpline::p, vpImagePoint::set_ij(), vpList< type >::value(), and weights.
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static |
Insert
Of course the knot vector changes. But The list of control points and the list of the associated weights change too.
l_x | : Several real numbers which are between the extremities of the knot vector and which have to be inserted. |
l_r | : Number of knot in the array ![]() |
l_p | : Degree of the NURBS basis functions. |
l_knots | : The knot vector |
l_controlPoints | : the list of control points. |
l_weights | : the list of weights. |
Definition at line 252 of file vpNurbs.cpp.
References vpBSpline::findSpan().
Referenced by refineKnotVectCurve().
void vpNurbs::refineKnotVectCurve | ( | double * | x, |
unsigned int | r ) |
Insert
Of course the knot vector changes. But The list of control points and the list of the associated weights change too.
x | : Several real numbers which are between the extremities of the knot vector and which have to be inserted. |
r | : Number of knot in the array ![]() |
Definition at line 332 of file vpNurbs.cpp.
References vpBSpline::knots, vpBSpline::p, refineKnotVectCurve(), and weights.
unsigned int vpNurbs::removeCurveKnot | ( | double | l_u, |
unsigned int | l_r, | ||
unsigned int | l_num, | ||
double | l_TOL ) |
Remove
Of course the knot vector changes. But The list of control points and the list of the associated weights change too.
l_u | : A real number which is between the extremities of the knot vector and which has to be removed. |
l_r | : Index of ![]() |
l_num | : Number of times ![]() |
l_TOL | : A parameter which has to be computed. |
where
Definition at line 460 of file vpNurbs.cpp.
References vpBSpline::knots, vpBSpline::p, removeCurveKnot(), and weights.
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static |
Remove
Of course the knot vector changes. But The list of control points and the list of the associated weights change too.
l_u | : A real number which is between the extremities of the knot vector and which has to be removed. |
l_r | : Index of ![]() |
l_num | : Number of times ![]() |
l_TOL | : A parameter which has to be computed. |
l_s | : Multiplicity of ![]() |
l_p | : Degree of the NURBS basis functions. |
l_knots | : The knot vector |
l_controlPoints | : the list of control points. |
l_weights | : the list of weights. |
where
Definition at line 337 of file vpNurbs.cpp.
References vpImagePoint::get_i(), vpImagePoint::get_j(), vpImagePoint::set_i(), vpImagePoint::set_j(), and vpMath::sqr().
Referenced by removeCurveKnot().
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inlineinherited |
Sets all the control points.
list | : A std::list containing the coordinates of the control points |
Definition at line 182 of file vpBSpline.h.
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inlineinherited |
Sets all the crossing points (used in the interpolation method)
list | : A std::list containing the coordinates of the crossing points |
Definition at line 209 of file vpBSpline.h.
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inlineinherited |
Sets all the knots.
list | : A std::list containing the value of the knots. |
Definition at line 195 of file vpBSpline.h.
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inlineinherited |
Sets the degree of the B-Spline.
degree | : the degree of the B-Spline. |
Definition at line 175 of file vpBSpline.h.
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inline |
Sets all the knots.
list | : A std::list containing the value of the knots. |
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inherited |
Definition at line 105 of file vpBSpline.h.
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inherited |
Vector wich contains the points used during the interpolation method.
Definition at line 115 of file vpBSpline.h.
Referenced by globalCurveApprox(), and globalCurveInterp().
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inherited |
Vector which contain the knots
Definition at line 111 of file vpBSpline.h.
Referenced by vpBSpline::computeBasisFuns(), computeCurveDersPoint(), vpBSpline::computeDersBasisFuns(), curveKnotIns(), vpBSpline::findSpan(), globalCurveApprox(), globalCurveApprox(), globalCurveApprox(), globalCurveApprox(), globalCurveInterp(), globalCurveInterp(), globalCurveInterp(), globalCurveInterp(), refineKnotVectCurve(), and removeCurveKnot().
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inherited |
Degree of the B-Spline basis functions.
Definition at line 113 of file vpBSpline.h.
Referenced by vpBSpline::computeBasisFuns(), vpBSpline::computeCurveDers(), computeCurveDers(), computeCurveDersPoint(), vpBSpline::computeCurvePoint(), computeCurvePoint(), vpBSpline::computeDersBasisFuns(), curveKnotIns(), vpBSpline::findSpan(), globalCurveApprox(), globalCurveApprox(), globalCurveApprox(), globalCurveApprox(), globalCurveInterp(), globalCurveInterp(), globalCurveInterp(), globalCurveInterp(), refineKnotVectCurve(), removeCurveKnot(), and vpNurbs().
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Vector which contains the weights associated to each control Points.
Definition at line 96 of file vpNurbs.h.
Referenced by computeCurveDers(), computeCurveDersPoint(), computeCurvePoint(), curveKnotIns(), globalCurveApprox(), globalCurveApprox(), globalCurveApprox(), globalCurveApprox(), globalCurveInterp(), globalCurveInterp(), globalCurveInterp(), globalCurveInterp(), refineKnotVectCurve(), and removeCurveKnot().