#include <base_splines.hpp>

Classes
struct	Bspl3dCurve

Public Member Functions
	Spl_U3dBspl3Curve3d (const Spl_U3dBspl3AbstractMatrix &bm, const Spl_U3dPointsAr &ps)

	~Spl_U3dBspl3Curve3d ()

bool	getPoint (double p, Spl_U3dPoint &point) const

bool	getXYZp (double p, Spl_U3dPoint &point) const

bool	getXYZpp (double p, Spl_U3dPoint &point) const

bool	getCurvature (double p, double &c)

int	getControlPointsNum () const

bool	getControlPoint (int ind, Spl_U3dPoint &point) const

bool	add (Spl_U3dPoint &point, int ind=-1)

bool	remove (int ind)

bool	move (int ind)

bool	isReady () const

bool	getLineSegments (double ds, std::vector< double > &segs)

bool	getLineDeviations (double p1, double p2, double p, Spl_U3dPoint &dev)

bool	getMaxLineDeviation (double p1, double p2, double &md)

void	info ()

Protected Member Functions
void	reconstruct ()

void	clear ()

bool	check_add_bps (const Spl_U3dPointsAr &ps)

bool	find_element (double p, int &nn, double &pp) const

bool	get_line_distance (double p, Spl_U3dPoint kP, Spl_U3dPoint bP, Spl_U3dPoint &dist)

bool	get_line_distance (double pp, int nn, Spl_U3dPoint kP, Spl_U3dPoint bP, Spl_U3dPoint &dist)

bool	construct_isect_line (double p1, double p2, Spl_U3dPoint &kP, Spl_U3dPoint &bP)

void	devs_update (double p, int n, Spl_U3dPoint &kP, Spl_U3dPoint &bP, Spl_U3dPoint &dev, double &smx, double &smy, double &smz)

void	next_segment (double p1, double p2, std::vector< double > &segs)

Protected Attributes
std::vector< Bspl3dCurve >	m_bspls

Spl_U3dBspl3AbstractMatrix *	m_bm

Spl_U3dPointsAr	m_ps

bool	m_is_ready

Detailed Description

3D third order base spline curve object constructed from Points(x,y,z) and base spline matrix. Natural curve parameter p=[0..1]. Mathematical form of curve is x=x(p), y=y(p), z=z(p).

Constructor & Destructor Documentation

Spl_U3dBspl3Curve3d::Spl_U3dBspl3Curve3d	(	const Spl_U3dBspl3AbstractMatrix &	bm,
		const Spl_U3dPointsAr &	ps
	)

Default constructor with base matrix and points provided. Number of points must be >= 2

Spl_U3dBspl3Curve3d::~Spl_U3dBspl3Curve3d ( )

Destruct object

Member Function Documentation

bool Spl_U3dBspl3Curve3d::add	(	Spl_U3dPoint &	point,
		int	ind = `-1`
	)

Add new point to constructed spline curve after point with index = ind. If ind is -1 then add new last point. In any error return false, otherwise return true

bool Spl_U3dBspl3Curve3d::check_add_bps ( const Spl_U3dPointsAr & ps )

protected

Check points and add boundary points to current control points, e.g. [1,2,3,4] -> [1,1,1,2,3,4,4,4]. Number of points must be > 2, then return true, otherwise false

void Spl_U3dBspl3Curve3d::clear ( )

protected

Clear all base spline curves {x(t), y(t), z(t)}

bool Spl_U3dBspl3Curve3d::construct_isect_line	(	double	p1,
		double	p2,
		Spl_U3dPoint &	kP,
		Spl_U3dPoint &	bP
	)

protected

Construct line that intersect spline in parametric points p1 and p2

void Spl_U3dBspl3Curve3d::devs_update	(	double	p,
		int	n,
		Spl_U3dPoint &	kP,
		Spl_U3dPoint &	bP,
		Spl_U3dPoint &	dev,
		double &	smx,
		double &	smy,
		double &	smz
	)

inlineprotected

Update coordinates deviations

bool Spl_U3dBspl3Curve3d::find_element	(	double	p,
		int &	nn,
		double &	pp
	)		const

protected

Find proper base spline curve element

bool Spl_U3dBspl3Curve3d::get_line_distance	(	double	p,
		Spl_U3dPoint	kP,
		Spl_U3dPoint	bP,
		Spl_U3dPoint &	dist
	)

protected

Get distance projections from parametric line to spline in p-point

bool Spl_U3dBspl3Curve3d::get_line_distance	(	double	pp,
		int	nn,
		Spl_U3dPoint	kP,
		Spl_U3dPoint	bP,
		Spl_U3dPoint &	dist
	)

protected

Get distance projections from parametric line to spline in p-point

bool Spl_U3dBspl3Curve3d::getControlPoint	(	int	ind,
		Spl_U3dPoint &	point
	)		const

Get control point of provided index. return false if index is wrong

int Spl_U3dBspl3Curve3d::getControlPointsNum ( ) const

Return number of control points

bool Spl_U3dBspl3Curve3d::getCurvature	(	double	p,
		double &	c
	)

Get curvature. True if ok.

bool Spl_U3dBspl3Curve3d::getLineDeviations	(	double	p1,
		double	p2,
		double	p,
		Spl_U3dPoint &	dev
	)

Get line deviation between l(p)=kp+b and spline

bool Spl_U3dBspl3Curve3d::getLineSegments	(	double	ds,
		std::vector< double > &	segs
	)

Collect array of line segments for current spline. Each segment is near to spline less than provided ds. Return true if spline is defined, otherwise return false.

bool Spl_U3dBspl3Curve3d::getMaxLineDeviation	(	double	p1,
		double	p2,
		double &	md
	)

Get maximal curve deviation from line constructed on points P1(p1) and P2(p2). Return true if all good

bool Spl_U3dBspl3Curve3d::getPoint	(	double	p,
		Spl_U3dPoint &	point
	)		const

Return 3d point from constructed spline. Return false if approximation was not made.

bool Spl_U3dBspl3Curve3d::getXYZp	(	double	p,
		Spl_U3dPoint &	point
	)		const

Return first derivative 3d point from constructed spline. Return false if approximation was not made.

bool Spl_U3dBspl3Curve3d::getXYZpp	(	double	p,
		Spl_U3dPoint &	point
	)		const

Return second derivative 3d point from constructed spline. Return false if approximation was not made.

void Spl_U3dBspl3Curve3d::info ( )

Print info about current object condition

bool Spl_U3dBspl3Curve3d::isReady ( ) const

inline

Was approximation made.

bool Spl_U3dBspl3Curve3d::move ( int ind )

Move control point with index ind. Return true if all correct otherwise return false

void Spl_U3dBspl3Curve3d::next_segment	(	double	p1,
		double	p2,
		std::vector< double > &	segs
	)

protected

Temporary method for recursive spline segments derivation, not used for a while.

void Spl_U3dBspl3Curve3d::reconstruct ( )

protected

Main reconstruction method for whole spline curve

bool Spl_U3dBspl3Curve3d::remove ( int ind )

Remove control point with index ind. Return true if all correct otherwise return false

Member Data Documentation

Spl_U3dBspl3AbstractMatrix* Spl_U3dBspl3Curve3d::m_bm

protected

Base spline matrix

std::vector<Bspl3dCurve> Spl_U3dBspl3Curve3d::m_bspls

protected

Array of simple base spline curves for all directions

bool Spl_U3dBspl3Curve3d::m_is_ready

protected

Flag of approximation was (was not) made is true(false)

Spl_U3dPointsAr Spl_U3dBspl3Curve3d::m_ps

protected

Spline control points

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

/net/opt/univers/ubp-i-15.3-centos7-x64.urij/include/mth/base_splines.hpp

Classes

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation