#include <u3d_bspl3_curve3d.hpp>

Classes
struct	Bspl3dCurve

Public Member Functions
	U3dBspl3Curve3d (const U3dBspl3AbstractMatrix &bm)

	U3dBspl3Curve3d (const U3dBspl3AbstractMatrix &bm, const U3dPointsAr &ps)

	U3dBspl3Curve3d (const U3dBspl3Curve3d &obj)

	~U3dBspl3Curve3d ()

void	approximate (const U3dBspl3AbstractMatrix &bm, const U3dPointsAr &ps)

void	approximate (const U3dPointsAr &ps)

bool	getPoint (double p, U3dPoint &point) const

bool	getXYZp (double p, U3dPoint &point) const

bool	getXYZpp (double p, U3dPoint &point) const

bool	getCurvature (double p, double &c)

int	getControlPointsNum () const

bool	getControlPoint (int ind, U3dPoint &point) const

U3dBspl3MatrixType	getBMType () const

void	add (const U3dPoint &point, int id=-1)

bool	remove (int id)

bool	isReady () const

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

bool	getLineDeviations (double p1, double p2, double p, U3dPoint &dev) const

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

void	info () const

	U3dBspl3Curve3d (const U3dBspl3AbstractMatrix &bm, const U3dPointsAr &ps)

	~U3dBspl3Curve3d ()

bool	getPoint (double p, U3dPoint &point) const

bool	getXYZp (double p, U3dPoint &point) const

bool	getXYZpp (double p, U3dPoint &point) const

bool	getCurvature (double p, double &c)

int	getControlPointsNum () const

bool	getControlPoint (int ind, U3dPoint &point) const

bool	add (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, U3dPoint &dev)

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

void	info ()

Static Public Member Functions
static void	update_index (int &i, int m, int bm)

static int	get_bp_num (U3dBspl3MatrixType type)

static void	find_element (double p, int n, int &nn, double &pp)

Protected Member Functions
void	clear ()

void	construct_segment (int id, int n, int bpnum, Bspl3dCurve &curve)

bool	get_line_distance (double pp, int nn, U3dPoint kP, U3dPoint bP, double p1, U3dPoint &dist) const

bool	construct_isect_line (double p1, double p2, U3dPoint &kP, U3dPoint &bP) const

void	devs_update (double p, int n, U3dPoint &kP, U3dPoint &bP, double p1, U3dPoint &dev, double &smx, double &smy, double &smz) const

void	reconstruct ()

void	clear ()

bool	check_add_bps (const U3dPointsAr &ps)

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

bool	get_line_distance (double pp, int nn, U3dPoint kP, U3dPoint bP, double p1, U3dPoint &dist)

bool	construct_isect_line (double p1, double p2, U3dPoint &kP, U3dPoint &bP)

void	devs_update (double p, int n, U3dPoint &kP, U3dPoint &bP, double p1, 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

U3dBspl3AbstractMatrix *	m_bm

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

U3dBspl3Curve3d::U3dBspl3Curve3d ( const U3dBspl3AbstractMatrix & bm )

Generates empty object which will not be ready. Base matrix for type of curve to be constructed is provided.

U3dBspl3Curve3d::U3dBspl3Curve3d	(	const U3dBspl3AbstractMatrix &	bm,
		const U3dPointsAr &	ps
	)

Constructor with base matrix and points provided. Number of points should be >= 2 for ready object construction.

U3dBspl3Curve3d::U3dBspl3Curve3d ( const U3dBspl3Curve3d & obj )

Copy constructor

U3dBspl3Curve3d::~U3dBspl3Curve3d ( )

Destruct object

U3dBspl3Curve3d::U3dBspl3Curve3d	(	const U3dBspl3AbstractMatrix &	bm,
		const U3dPointsAr &	ps
	)

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

U3dBspl3Curve3d::~U3dBspl3Curve3d ( )

Destruct object

Member Function Documentation

bool U3dBspl3Curve3d::add	(	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

void U3dBspl3Curve3d::add	(	const U3dPoint &	point,
		int	id = `-1`
	)

Add new point to the current spline curve at index = id. If id < 0 or out of range then add new last point.

void U3dBspl3Curve3d::approximate	(	const U3dBspl3AbstractMatrix &	bm,
		const U3dPointsAr &	ps
	)

Approximate curve from provided points and defined base matrix. Old points and curve are deleting.

void U3dBspl3Curve3d::approximate ( const U3dPointsAr & ps )

Approximate curve from provided points. Old points and curve are deleting.

bool U3dBspl3Curve3d::check_add_bps ( const 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 U3dBspl3Curve3d::clear ( )

protected

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

void U3dBspl3Curve3d::clear ( )

protected

Clear internal data

bool U3dBspl3Curve3d::construct_isect_line	(	double	p1,
		double	p2,
		U3dPoint &	kP,
		U3dPoint &	bP
	)

protected

Construct line that intersect spline in parametric points p1 and p2

bool U3dBspl3Curve3d::construct_isect_line	(	double	p1,
		double	p2,
		U3dPoint &	kP,
		U3dPoint &	bP
	)		const

protected

Construct line that intersect spline in parametric points p1 and p2

void U3dBspl3Curve3d::construct_segment	(	int	id,
		int	n,
		int	bpnum,
		Bspl3dCurve &	curve
	)

protected

Construct simple curve segment for provided id, n - number of initial points, bpnum - number of border points.

void U3dBspl3Curve3d::devs_update	(	double	p,
		int	n,
		U3dPoint &	kP,
		U3dPoint &	bP,
		double	p1,
		U3dPoint &	dev,
		double &	smx,
		double &	smy,
		double &	smz
	)

inlineprotected

Update coordinates deviations

void U3dBspl3Curve3d::devs_update	(	double	p,
		int	n,
		U3dPoint &	kP,
		U3dPoint &	bP,
		double	p1,
		U3dPoint &	dev,
		double &	smx,
		double &	smy,
		double &	smz
	)		const

inlineprotected

Update coordinates deviations

static void U3dBspl3Curve3d::find_element	(	double	p,
		int	n,
		int &	nn,
		double &	pp
	)

static

Find proper base spline curve element

bool U3dBspl3Curve3d::find_element	(	double	p,
		int &	nn,
		double &	pp
	)		const

protected

Find proper base spline curve element

static int U3dBspl3Curve3d::get_bp_num ( U3dBspl3MatrixType type )

static

Get number of base spline border points from base matrix type

bool U3dBspl3Curve3d::get_line_distance	(	double	pp,
		int	nn,
		U3dPoint	kP,
		U3dPoint	bP,
		double	p1,
		U3dPoint &	dist
	)

protected

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

bool U3dBspl3Curve3d::get_line_distance	(	double	pp,
		int	nn,
		U3dPoint	kP,
		U3dPoint	bP,
		double	p1,
		U3dPoint &	dist
	)		const

protected

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

U3dBspl3MatrixType U3dBspl3Curve3d::getBMType ( ) const

Return spline base matrix type. If object is not ready return "Undefined".

bool U3dBspl3Curve3d::getControlPoint	(	int	ind,
		U3dPoint &	point
	)		const

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

bool U3dBspl3Curve3d::getControlPoint	(	int	ind,
		U3dPoint &	point
	)		const

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

int U3dBspl3Curve3d::getControlPointsNum ( ) const

Return number of control points

int U3dBspl3Curve3d::getControlPointsNum ( ) const

Return number of control points

bool U3dBspl3Curve3d::getCurvature	(	double	p,
		double &	c
	)

Get curvature. True if ok.

bool U3dBspl3Curve3d::getCurvature	(	double	p,
		double &	c
	)

Get curvature. True if ok.

bool U3dBspl3Curve3d::getLineDeviations	(	double	p1,
		double	p2,
		double	p,
		U3dPoint &	dev
	)

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

bool U3dBspl3Curve3d::getLineDeviations	(	double	p1,
		double	p2,
		double	p,
		U3dPoint &	dev
	)		const

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

bool 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 U3dBspl3Curve3d::getLineSegments	(	double	ds,
		std::vector< double > &	segs
	)		const

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 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 U3dBspl3Curve3d::getMaxLineDeviation	(	double	p1,
		double	p2,
		double &	md
	)		const

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

bool U3dBspl3Curve3d::getPoint	(	double	p,
		U3dPoint &	point
	)		const

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

bool U3dBspl3Curve3d::getPoint	(	double	p,
		U3dPoint &	point
	)		const

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

bool U3dBspl3Curve3d::getXYZp	(	double	p,
		U3dPoint &	point
	)		const

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

bool U3dBspl3Curve3d::getXYZp	(	double	p,
		U3dPoint &	point
	)		const

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

bool U3dBspl3Curve3d::getXYZpp	(	double	p,
		U3dPoint &	point
	)		const

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

bool U3dBspl3Curve3d::getXYZpp	(	double	p,
		U3dPoint &	point
	)		const

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

void U3dBspl3Curve3d::info ( )

Print info about current object condition

void U3dBspl3Curve3d::info ( ) const

Print info about current object condition

bool U3dBspl3Curve3d::isReady ( ) const

inline

Was approximation made.

bool U3dBspl3Curve3d::isReady ( ) const

inline

Was approximation made.

bool U3dBspl3Curve3d::move ( int ind )

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

void 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 U3dBspl3Curve3d::reconstruct ( )

protected

Main reconstruction method for whole spline curve

bool U3dBspl3Curve3d::remove ( int ind )

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

bool U3dBspl3Curve3d::remove ( int id )

Remove control point with index id. Return true if id is correct otherwise return false

static void U3dBspl3Curve3d::update_index	(	int &	i,
		int	m,
		int	bm
	)

inlinestatic

Update index of one corrdinate direction border expanding

Member Data Documentation

U3dBspl3AbstractMatrix * U3dBspl3Curve3d::m_bm

protected

Base spline matrix

std::vector< Bspl3dCurve > U3dBspl3Curve3d::m_bspls

protected

Array of simple base spline curves for all directions

bool U3dBspl3Curve3d::m_is_ready

protected

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

U3dPointsAr U3dBspl3Curve3d::m_ps

protected

Spline control points

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

/net/opt/univers/ubp-i-15.3-centos7-x64.urij/include/mth/u3d_bspl3_curve3d.hpp
/net/opt/univers/ubp-i-15.3-centos7-x64.urij/include/vel3dmod/u3d_bspl3_curve3d.hpp

Classes

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation