PLib::NurbsCurve

PLib::NurbsCurve< T, N > Class Template Reference

A NURBS curve class. More...

#include <nurbs.h>

Inheritance diagram for PLib::NurbsCurve< T, N >:


Public Member Functions
	NurbsCurve (const NurbsCurve< T, N > &nurb)
	NurbsCurve (const Vector< HPoint_nD< T, N > > &P1, const Vector< T > &U1, int deg=3)
	NurbsCurve (const Vector< Point_nD< T, N > > &P1, const Vector< T > &W, const Vector< T > &U1, int deg=3)
int	degree () const
const Vector< HPoint_nD< T, N > > &	ctrlPnts () const
const HPoint_nD< T, N >	ctrlPnts (int i) const
const Vector< T > &	knot () const
T	knot (int i) const
void	resize (int n, int Deg)
virtual void	reset (const Vector< HPoint_nD< T, N > > &P1, const Vector< T > &U1, int deg)
virtual NurbsCurve &	operator= (const NurbsCurve< T, N > &)
virtual HPoint_nD< T, N >	operator() (T u) const
HPoint_nD< T, N >	hpointAt (T u) const
HPoint_nD< T, N >	hpointAt (T u, int span) const
void	deriveAtH (T u, int, Vector< HPoint_nD< T, N > > &) const
void	deriveAt (T u, int, Vector< Point_nD< T, N > > &) const
void	deriveAtH (T u, int, int, Vector< HPoint_nD< T, N > > &) const
void	deriveAt (T u, int, int, Vector< Point_nD< T, N > > &) const
Point_nD< T, N >	derive3D (T u, int d) const
HPoint_nD< T, N >	derive (T u, int d) const
Point_nD< T, N >	normal (T u, const Point_nD< T, N > &v) const
HPoint_nD< T, N >	firstD (T u) const
HPoint_nD< T, N >	firstD (T u, int span) const
Point_nD< T, N >	firstDn (T u) const
Point_nD< T, N >	firstDn (T u, int span) const
T	basisFun (T u, int i, int p=-1) const
void	basisFuns (T u, int span, Vector< T > &N) const
void	dersBasisFuns (int n, T u, int span, Matrix< T > &N) const
T	minKnot () const
T	maxKnot () const
int	findSpan (T u) const
void	findMultSpan (T u, int &r, int &s) const
int	findMult (int r) const
int	findKnot (T u) const
T	getRemovalBnd (int r, int s) const
void	removeKnot (int r, int s, int num)
void	removeKnotsBound (const Vector< T > &ub, Vector< T > &ek, T E)
int	knotInsertion (T u, int r, NurbsCurve< T, N > &nc)
void	refineKnotVector (const Vector< T > &X)
void	refineKnotVectorClosed (const Vector< T > &X)
void	mergeKnotVector (const Vector< T > &Um)
void	clamp ()
void	unclamp ()
int	leastSquares (const Vector< Point_nD< T, N > > &Q, int degC, int n)
int	leastSquares (const Vector< Point_nD< T, N > > &Q, int degC, int n, const Vector< T > &ub)
int	leastSquaresH (const Vector< HPoint_nD< T, N > > &Q, int degC, int n, const Vector< T > &ub)
int	leastSquares (const Vector< Point_nD< T, N > > &Q, int degC, int n, const Vector< T > &ub, const Vector< T > &knot)
int	leastSquaresH (const Vector< HPoint_nD< T, N > > &Q, int degC, int n, const Vector< T > &ub, const Vector< T > &knot)
int	leastSquaresClosed (const Vector< Point_nD< T, N > > &Q, int degC, int n)
int	leastSquaresClosed (const Vector< Point_nD< T, N > > &Q, int degC, int n, const Vector< T > &ub)
int	leastSquaresClosedH (const Vector< HPoint_nD< T, N > > &Q, int degC, int n, const Vector< T > &ub)
int	leastSquaresClosed (const Vector< Point_nD< T, N > > &Q, int degC, int n, const Vector< T > &ub, const Vector< T > &knot)
int	leastSquaresClosedH (const Vector< HPoint_nD< T, N > > &Q, int degC, int n, const Vector< T > &ub, const Vector< T > &knot)
void	globalApproxErrBnd (Vector< Point_nD< T, N > > &Q, int deg, T E)
void	globalApproxErrBnd (Vector< Point_nD< T, N > > &Q, Vector< T > &ub, int deg, T E)
void	globalApproxErrBnd2 (Vector< Point_nD< T, N > > &Q, int degC, T E)
void	globalApproxErrBnd3 (Vector< Point_nD< T, N > > &Q, int degC, T E)
void	globalApproxErrBnd3 (Vector< Point_nD< T, N > > &Q, const Vector< T > &ub, int degC, T E)
void	globalInterp (const Vector< Point_nD< T, N > > &Q, int d)
void	globalInterp (const Vector< Point_nD< T, N > > &Q, const Vector< T > &ub, int d)
void	globalInterpH (const Vector< HPoint_nD< T, N > > &Q, int d)
void	globalInterpH (const Vector< HPoint_nD< T, N > > &Q, const Vector< T > &U, int d)
void	globalInterpH (const Vector< HPoint_nD< T, N > > &Q, const Vector< T > &ub, const Vector< T > &U, int d)
void	globalInterpClosed (const Vector< Point_nD< T, N > > &Qw, int d)
void	globalInterpClosed (const Vector< Point_nD< T, N > > &Qw, const Vector< T > &ub, int d)
void	globalInterpClosedH (const Vector< HPoint_nD< T, N > > &Qw, int d)
void	globalInterpClosedH (const Vector< HPoint_nD< T, N > > &Qw, const Vector< T > &U, int d)
void	globalInterpClosedH (const Vector< HPoint_nD< T, N > > &Qw, const Vector< T > &ub, const Vector< T > &U, int d)
void	globalInterpClosed (const Vector< Point_nD< T, N > > &Qw, const Vector< T > &ub, const Vector< T > &Uc, int d)
void	globalInterpD (const Vector< Point_nD< T, N > > &Q, const Vector< Point_nD< T, N > > &D, int d, int unitD, T a=1.0)
void	projectTo (const Point_nD< T, N > &p, T guess, T &u, Point_nD< T, N > &r, T e1=0.001, T e2=0.001, int maxTry=100) const
T	length (T eps=0.001, int n=100) const
T	lengthIn (T us, T ue, T eps=0.001, int n=100) const
T	lengthF (T) const
T	lengthF (T, int) const
void	makeCircle (const Point_nD< T, N > &O, const Point_nD< T, N > &X, const Point_nD< T, N > &Y, T r, double as, double ae)
void	makeCircle (const Point_nD< T, N > &O, T r, double as, double ae)
void	makeCircle (const Point_nD< T, N > &O, T r)
void	makeLine (const Point_nD< T, N > &P0, const Point_nD< T, N > &P1, int d)
virtual void	degreeElevate (int t)
void	decompose (NurbsCurveArray< T, N > &c) const
void	decomposeClosed (NurbsCurveArray< T, N > &c) const
int	splitAt (T u, NurbsCurve< T, N > &cl, NurbsCurve< T, N > &cu) const
int	mergeOf (const NurbsCurve< T, N > &cl, const NurbsCurve< T, N > &cu)
void	transform (const MatrixRT< T > &A)
void	modCP (int i, const HPoint_nD< T, N > &a)
void	modCPby (int i, const HPoint_nD< T, N > &a)
virtual void	modKnot (const Vector< T > &knotU)
int	movePoint (T u, const Point_nD< T, N > &delta)
int	movePoint (T u, const BasicArray< Point_nD< T, N > > &delta)
int	movePoint (const BasicArray< T > &ur, const BasicArray< Point_nD< T, N > > &D)
int	movePoint (const BasicArray< T > &ur, const BasicArray< Point_nD< T, N > > &D, const BasicArray_INT &Dr, const BasicArray_INT &Dk)
int	movePoint (const BasicArray< T > &ur, const BasicArray< Point_nD< T, N > > &D, const BasicArray_INT &Dr, const BasicArray_INT &Dk, const BasicArray_INT &fixCP)
void	setTangent (T u, const Point_nD< T, N > &T0)
void	setTangentAtEnd (const Point_nD< T, N > &T0, const Point_nD< T, N > &T1)
int	read (const char *)
int	write (const char *) const
virtual int	read (ifstream &fin)
int	write (ofstream &fout) const
int	writePS (const char *, int cp=0, T magFact=T(-1), T dash=T(5), bool bOpen=true) const
int	writePSp (const char *, const Vector< Point_nD< T, N > > &, const Vector< Point_nD< T, N > > &, int cp=0, T magFact=0.0, T dash=5.0, bool bOpen=true) const
int	writeVRML (ostream &fout, T radius, int K, const Color &color, int Nu, int Nv, T u_s, T u_e) const
int	writeVRML (const char *filename, T radius, int K, const Color &color, int Nu, int Nv, T u_s, T u_e) const
int	writeVRML (const char *filename, T radius=1, int K=5, const Color &color=whiteColor, int Nu=20, int Nv=20) const
int	writeVRML (ostream &fout, T radius=1, int K=5, const Color &color=whiteColor, int Nu=20, int Nv=20) const
int	writeVRML97 (const char *filename, T radius, int K, const Color &color, int Nu, int Nv, T u_s, T u_e) const
int	writeVRML97 (ostream &fout, T radius, int K, const Color &color, int Nu, int Nv, T u_s, T u_e) const
int	writeVRML97 (const char *filename, T radius=1, int K=5, const Color &color=whiteColor, int Nu=20, int Nv=20) const
int	writeVRML97 (ostream &fout, T radius=1, int K=5, const Color &color=whiteColor, int Nu=20, int Nv=20) const
int	writeDisplayLINE (const char *filename, int iNu, const Color &color=blueColor, T fA=1) const
int	writeDisplayLINE (const char *filename, const Color &color, int iNu, T u_s, T u_e) const
void	drawImg (Image_UBYTE &Img, unsigned char color=255, T step=0.01)
void	drawImg (Image_Color &Img, const Color &color, T step=0.01)
void	drawAaImg (Image_Color &Img, const Color &color, int precision=3, int alpha=1)
void	drawAaImg (Image_Color &Img, const Color &color, const NurbsCurve< T, 3 > &profile, int precision=3, int alpha=1)
NurbsSurface< T, 3 >	drawAaImg (Image_Color &Img, const Color &color, const NurbsCurve< T, 3 > &profile, const NurbsCurve< T, 3 > &scaling, int precision=3, int alpha=1)
BasicList< Point_nD< T, N > >	tesselate (T tolerance, BasicList< T > *uk) const
template<>
Point_nD< double, 2 >	normal (double u, const Point_nD< double, 2 > &v) const
template<>
void	makeCircle (const Point_nD< double, 2 > &O, double r, double as, double ae)
template<>
int	writeVRML (const char *filename, double radius, int K, const Color &color, int Nu, int Nv, double u_s, double u_e) const
template<>
int	writeVRML97 (const char *filename, double radius, int K, const Color &color, int Nu, int Nv, double u_s, double u_e) const
template<>
int	writeVRML (ostream &fout, double radius, int K, const Color &color, int Nu, int Nv, double u_s, double u_e) const
template<>
int	writeVRML97 (ostream &fout, double radius, int K, const Color &color, int Nu, int Nv, double u_s, double u_e) const
template<>
void	drawAaImg (Image_Color &Img, const Color &color, int precision, int alpha)
template<>
Point_nD< float, 2 >	normal (float u, const Point_nD< float, 2 > &v) const
template<>
void	makeCircle (const Point_nD< float, 2 > &O, float r, double as, double ae)
template<>
int	writeVRML (const char *filename, float radius, int K, const Color &color, int Nu, int Nv, float u_s, float u_e) const
template<>
int	writeVRML97 (const char *filename, float radius, int K, const Color &color, int Nu, int Nv, float u_s, float u_e) const
template<>
int	writeVRML (ostream &fout, float radius, int K, const Color &color, int Nu, int Nv, float u_s, float u_e) const
template<>
int	writeVRML97 (ostream &fout, float radius, int K, const Color &color, int Nu, int Nv, float u_s, float u_e) const
template<>
void	drawAaImg (Image_Color &Img, const Color &color, int precision, int alpha)
Protected Attributes
Vector< HPoint_nD< T, N > >	P
Vector< T >	U
int	deg_
Friends
HPoint_nD< T, N >	C (T u, const NurbsCurve< T, N > &nurb)
Point_nD< T, N >	Cp (T u, const NurbsCurve< T, N > &nurb)
void	generateCompatibleCurves (NurbsCurveArray< T, N > &ca)

Detailed Description

template<class T, int N>
class PLib::NurbsCurve< T, N >

A NURBS curve class.

This class is used to represent and manipulate NURBS curve. The curves are composed of points in 4D. They can have any degree and have any number of control points.

Author:: Philippe Lavoie

Date:: 4 Oct. 1996

Member Function Documentation

template<class T, int N>

const HPoint_nD<T,N> PLib::NurbsCurve< T, N >::ctrlPnts ( int i ) const [inline]

< a reference to one of the control points

template<class T, int N>

const Vector< HPoint_nD<T,N> >& PLib::NurbsCurve< T, N >::ctrlPnts ( ) const [inline]

< a reference to the vector of control points

template<class T, int N>

int PLib::NurbsCurve< T, N >::degree ( ) const [inline]

< a reference to the degree of the curve

template<class T, int N>

void PLib::NurbsCurve< T, N >::deriveAt ( T u,

int ,

Vector< Point_nD< T, N > > &

) const [virtual]

abstract function

Implements PLib::ParaCurve< T, N >.

template<class T, int N>

void PLib::NurbsCurve< T, N >::deriveAtH ( T u,

int ,

Vector< HPoint_nD< T, N > > &

) const [virtual]

abstract function

Implements PLib::ParaCurve< T, N >.

template<class T, int N>

HPoint_nD<T,N> PLib::NurbsCurve< T, N >::hpointAt ( T u,

int span

) const [virtual]

abstract function

Implements PLib::ParaCurve< T, N >.

template<class T, int N>

HPoint_nD<T,N> PLib::NurbsCurve< T, N >::hpointAt ( T u ) const [inline]

< calls operator()

Reimplemented from PLib::ParaCurve< T, N >.

template<class T, int N>

T PLib::NurbsCurve< T, N >::knot ( int i ) const [inline]

< the i-th knot

template<class T, int N>

const Vector<T>& PLib::NurbsCurve< T, N >::knot ( ) const [inline]

< a reference to the vector of knots

template<class T, int N>

T PLib::NurbsCurve< T, N >::maxKnot ( ) const [inline, virtual]

< the maximal value for the knot vector

Implements PLib::ParaCurve< T, N >.

template<class T, int N>

T PLib::NurbsCurve< T, N >::minKnot ( ) const [inline, virtual]

the minimal value for the knot vector

Implements PLib::ParaCurve< T, N >.

template<class T, int N>

virtual HPoint_nD<T,N> PLib::NurbsCurve< T, N >::operator() ( T u ) const [virtual]

abstract function
Implements PLib::ParaCurve< T, N >.

Friends And Related Function Documentation

template<class T, int N>

HPoint_nD<T,N> C ( T u,

const NurbsCurve< T, N > & nurb

) [friend]

a function interface to operator()

template<class T, int N>

Point_nD<T,N> Cp ( T u,

const NurbsCurve< T, N > & nurb

) [friend]

returns the curvePoint in 3D

The documentation for this class was generated from the following file:

nurbs.h

Generated on Sat May 27 11:47:41 2006 for NURBS++ by

1.4.6

PLib::NurbsCurve< T, N > Class Template Reference

Public Member Functions

Protected Attributes

Friends

Detailed Description

template<class T, int N> class PLib::NurbsCurve< T, N >

Member Function Documentation

Friends And Related Function Documentation

template<class T, int N>
class PLib::NurbsCurve< T, N >