mb_nurbs_function.h File Reference

The module of geometric constructions. More...

#include <templ_s_array.h>
#include <templ_array2.h>
#include <templ_sparse_array2.h>
#include <templ_dptr.h>
#include <math_define.h>
#include <mb_enum.h>
#include <curve3d.h>
#include <surface.h>
#include <mb_rect1d.h>
#include <mb_matrixnn.h>
#include <mb_vector3d.h>
#include <mb_cart_point3d.h>
#include <op_binding_data.h>
#include <alg_base.h>
#include <vector>

Classes
class	MbCurveIntoNurbsInfo
	Additional information for transformation of a curve or surface to NURBS. More...
struct	MbNurbsParameters
	Parameters for the construction of a NURBS copy of the object. More...
class	MbNurbsCopyCurveResult
	Output data for create NURBS copy of curve. More...
class	MbNurbsCopySurfaceResult
	Output data for create NURBS copy of surface. More...
struct	MbNurbsPointInfo
	Parameters of knot point of the object spline copy. More...
class	MbWeightVector
	Weights of a NURBS curve. More...

Enumerations
enum	MbeSplineCreateType { sct_Version0 = 0 , sct_Version1 = 1 , sct_Version2 = 2 }
	Flag defining creation of spline passing through points. More...

Functions
template<class Type >
double	GetParamDistance (const Type &p1, const Type &p2, MbeSplineParamType spType)
	Get a measure of the distance. More...
bool	IsValidNurbsParams (size_t degree, bool closed, size_t pcnt)
	Check initialization parameters of a nurbs-object. More...
bool	IsValidNurbsParams (size_t degree, bool closed, size_t pcnt, size_t wcnt)
	Check initialization parameters of a nurbs-object. More...
bool	IsValidNurbsParams (size_t degree, bool closed, size_t pcnt, size_t wcnt, size_t kcnt)
	Check initialization parameters of a nurbs-object. More...
template<class KnotsVector >
bool	IsValidNurbsParamsExt (size_t degree, bool closed, size_t pcnt, const KnotsVector &knots)
	Check initialization parameters of a nurbs-curve. More...
template<class PointVector , class DoubleVector , class WeightVector >
bool	IsValidNurbsParamsExt (size_t degree, bool closed, const PointVector &pnts, const WeightVector *wts, const DoubleVector *knots)
	Check initialization parameters of a nurbs-curve. More...
template<class PointVector , class WeightVector >
bool	IsValidNurbsParamsExt (size_t degree, bool closed, const PointVector &pnts, const WeightVector *wts)
	Check initialization parameters of a nurbs-curve. More...
template<class KnotsVector >
bool	IsValidNurbsKnots (const KnotsVector &knots, double eps=EXTENT_EPSILON)
	Check knots vector of a nurbs-object. More...
template<class KnotsVector >
bool	RestoreClippedKnots (size_t degree, bool closed, size_t pointsCnt, KnotsVector &knots)
	Check and try to restore knots vector of a nurbs-object. More...
template<class KnotsVector >
ptrdiff_t	KnotIndex (size_t degree, const KnotsVector &knots, double &t)
	Definition of "left" knot index for the first non-zero function. More...
template<class KnotsVector >
ptrdiff_t	DefineKnotsVector (ptrdiff_t degree, bool closed, ptrdiff_t uppPointsIndex, KnotsVector &knots)
	Define knot vector (uniform parameterization). More...
template<class ParamsVector , class KnotsVector >
bool	DefineKnotsVector (size_t degree, bool closed, size_t count, const ParamsVector *paramsPtr, size_t kMode, KnotsVector &knots)
	Define knot vector. More...
template<class PointsVector , class ParamsVector >
bool	DefineThroughPointsParams (const PointsVector &points, MbeSplineParamType spType, bool closed, ParamsVector &params)
	Define parametric distribution of points. More...
template<class KnotsVector , class DoubleVector >
bool	BasisFuns (ptrdiff_t i, double t, ptrdiff_t p, const KnotsVector &knots, DoubleVector &nsplines, DoubleVector &lrVect)
	The calculation of B - basis ("degree" - order of B-spline, p = (degree - 1) - the degree of the polynomial (B-spline)). More...
template<class DoubleVector >
bool	CalcBsplvb (const DoubleVector &knots, double t, ptrdiff_t leftIndex, ptrdiff_t degree, DoubleVector &biatx, DoubleVector &lrVect)
	Calculate basic spline by "t" parameter and knots vector. More...
template<class Point , class NurbsVector , class KnotsVector >
void	CurveDeriveCpts (ptrdiff_t p, const KnotsVector &U, const Point *P, const double *W, size_t pointCount, const NurbsVector *PW, ptrdiff_t d, ptrdiff_t r1, ptrdiff_t r2, NurbsVector *PK)
	Calculate all difference forms of curve. More...
template<class Point , class NurbsVector , class KnotsVector >
void	CurveDeriveCpts (ptrdiff_t p, const KnotsVector &U, const Point *P, const double w, size_t pointCount, const NurbsVector *PW, ptrdiff_t d, ptrdiff_t r1, ptrdiff_t r2, NurbsVector *PK)
	Calculate all difference forms of curve. More...
template<class Point , class NurbsVector , class KnotsVector , class DoubleTriple >
void	CurveDeriveCpts (ptrdiff_t p, const KnotsVector &U, const Point *P, const double *W, size_t pointCount, const NurbsVector *PW, ptrdiff_t d, ptrdiff_t r1, ptrdiff_t r2, DoubleTriple **DT, double **WT)
	Calculate all difference forms of curve. More...
template<class Point , class NurbsVector , class KnotsVector , class DoubleTriple >
void	CurveDeriveCpts (ptrdiff_t p, const KnotsVector &U, const Point *P, const double w, size_t pointCount, const NurbsVector *PW, ptrdiff_t d, ptrdiff_t r1, ptrdiff_t r2, DoubleTriple **DT, double **WT)
	Calculate all difference forms of curve. More...
template<class Point , class Homogeneous >
void	CurveDeriveCpts (ptrdiff_t p, const double *U, const Point *P, const double *W, size_t pointCount, ptrdiff_t r1, ptrdiff_t r2, Homogeneous *H0, Homogeneous *H1, Homogeneous *H2, Homogeneous *H3)
	Calculate all difference forms of curve. More...
void	CheckParam (const double &tMin, const double &tMax, bool closed, double &t)
	Reduce "t" to parameter in the parametric domain of the curve. More...
template<class KnotsVector , class DoubleVector1 , class DoubleVector2 >
ptrdiff_t	CalculateSplines (size_t degree, const KnotsVector &knots, bool closed, double &t, DoubleVector1 &nsplines, DoubleVector2 &lrVect)
	Calculate non-zero splines with a given parameter. More...
template<class Nurbs , class PointsVector , class DoubleVector >
bool	CreateNurbsLSMClosed (SPtr< Nurbs > &nurbs, const ptrdiff_t degree, const ptrdiff_t pCount, const PointsVector &aPoints, const DoubleVector &aKnots, const DoubleVector *aParams=nullptr)
	Construction of closed spline. More...
template<class Nurbs , class PointsVector , class DoubleVector >
bool	CreateNurbsLSM (SPtr< Nurbs > &nurbs, const ptrdiff_t degree, const ptrdiff_t pCount, const PointsVector &aPoints, const DoubleVector &aKnots, const DoubleVector *aParams=nullptr)
	Construction of non-closed spline. More...
template<class Curve , class Nurbs , class Point >
Nurbs *	CreateLineOutRgn (const Curve &curve, double tn1, double tn2, double t1, double t2, const MbCurveIntoNurbsInfo &nci)
	Construction of line segment spline.

Detailed Description

The module of geometric constructions.

The base algorithms for NURBS curves and surfaces.