ON_BezierSurface Class Reference

#include <opennurbs_bezier.h>

Public Member Functions
	ON_BezierSurface ()
	ON_BezierSurface (int dim, bool is_rat, int order0, int order1)
	ON_BezierSurface (const ON_BezierSurface &)
	ON_BezierSurface (const ON_PolynomialSurface &)
	~ON_BezierSurface ()
ON_BoundingBox	BoundingBox () const
bool	Create (int dim, bool is_rat, int order0, int order1)
double *	CV (int cv_index0, int cv_index1) const
	Expert user function to get a pointer to control vertex memory. If you are not an expert user, please use ON_BezierSurface::GetCV( ON_3dPoint& ) or ON_BezierSurface::GetCV( ON_4dPoint& ). More...
int	CVSize () const
ON::point_style	CVStyle () const
	Returns the style of control vertices in the m_cv array. More...
int	Degree (int) const
void	Destroy ()
int	Dimension () const
ON_Interval	Domain (int) const
void	Dump (ON_TextLog &) const
void	EmergencyDestroy ()
bool	Evaluate (double, double, int, int, double *) const
bool	GetBBox (double *, double *, bool bGrowBox=false) const
bool	GetBoundingBox (ON_BoundingBox &bbox, int bGrowBox) const
bool	GetCV (int, int, ON::point_style, double *) const
bool	GetCV (int, int, ON_3dPoint &) const
bool	GetCV (int, int, ON_4dPoint &) const
int	GetNurbForm (ON_NurbsSurface &) const
bool	GetSurfaceSize (double *width, double *height) const
	Get an estimate of the size of the rectangle that would be created if the 3d surface where flattened into a rectangle. More...
ON_BezierCurve *	IsoCurve (int dir, double c, ON_BezierCurve *iso=nullptr) const
	returns the isocurve. More...
bool	IsRational () const
bool	IsSingular (int) const
bool	IsValid () const
bool	Loft (const ON_ClassArray< ON_BezierCurve > &curve_list)
	Loft a bezier surface through a list of bezier curves. More...
bool	Loft (int count, const ON_BezierCurve *const *curve_list)
	Loft a bezier surface through a list of bezier curves. More...
bool	MakeNonRational ()
bool	MakeRational ()
ON_BezierSurface &	operator= (const ON_BezierSurface &)
ON_BezierSurface &	operator= (const ON_PolynomialSurface &)
int	Order (int) const
ON_3dPoint	PointAt (double s, double t) const
bool	ReserveCVCapacity (int)
	Tools for managing CV and knot memory. More...
bool	Reverse (int)
bool	Rotate (double sin_angle, double cos_angle, const ON_3dVector &rotation_axis, const ON_3dPoint &rotation_center)
	Rotates the bezier surface about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule). More...
bool	Rotate (double rotation_angle, const ON_3dVector &rotation_axis, const ON_3dPoint &rotation_center)
	Rotates the bezier surface about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule). More...
bool	Scale (double scale_factor)
	Scales the bezier surface by the specified facotor. The scale is centered at the origin. More...
bool	SetCV (int, int, ON::point_style, const double *)
bool	SetCV (int, int, const ON_3dPoint &)
bool	SetCV (int, int, const ON_4dPoint &)
bool	SetWeight (int, int, double)
bool	Split (int, double, ON_BezierSurface &, ON_BezierSurface &) const
bool	Transform (const ON_Xform &)
bool	Translate (const ON_3dVector &translation_vector)
	Translates the bezier surface along the specified vector. More...
bool	Transpose ()
bool	Trim (int dir, const ON_Interval &domain)
double	Weight (int, int) const
bool	ZeroCVs ()

Public Attributes
double *	m_cv
int	m_cv_capacity
int	m_cv_stride [2]
int	m_dim
	Implementation. More...
int	m_is_rat
int	m_order [2]

Constructor & Destructor Documentation

ON_BezierSurface() [1/4]

ON_BezierSurface::ON_BezierSurface

(

)

ON_BezierSurface() [2/4]

ON_BezierSurface::ON_BezierSurface	(	int	dim,
		bool	is_rat,
		int	order0,
		int	order1
	)

~ON_BezierSurface()

ON_BezierSurface::~ON_BezierSurface

(

)

ON_BezierSurface() [3/4]

ON_BezierSurface::ON_BezierSurface

(

const ON_BezierSurface &

)

ON_BezierSurface() [4/4]

ON_BezierSurface::ON_BezierSurface

(

const ON_PolynomialSurface &

)

Member Function Documentation

BoundingBox()

ON_BoundingBox ON_BezierSurface::BoundingBox

(

)

const

Create()

bool ON_BezierSurface::Create	(	int	dim,
		bool	is_rat,
		int	order0,
		int	order1
	)

CV()

double* ON_BezierSurface::CV	(	int	cv_index0,
		int	cv_index1
	)		const

Expert user function to get a pointer to control vertex memory. If you are not an expert user, please use ON_BezierSurface::GetCV( ON_3dPoint& ) or ON_BezierSurface::GetCV( ON_4dPoint& ).

Parameters

cv_index0	[in] (0 <= cv_index0 < m_order[0])
cv_index1	[in] (0 <= cv_index1 < m_order[1])

Returns

Pointer to control vertex.

If the Bezier surface is rational, the format of the returned array is a homogeneos rational point with length m_dim+1. If the Bezier surface is not rational, the format of the returned array is a nonrational euclidean point with length m_dim. See Also ON_BezierSurface::CVStyle ON_BezierSurface::GetCV ON_BezierSurface::Weight

CVSize()

int ON_BezierSurface::CVSize

(

)

const

CVStyle()

ON::point_style ON_BezierSurface::CVStyle

(

)

const

Returns the style of control vertices in the m_cv array.

Returns

table ON::not_rational m_is_rat is false ON::homogeneous_rational m_is_rat is true

Degree()

int ON_BezierSurface::Degree

(

int

)

const

Destroy()

void ON_BezierSurface::Destroy

(

)

Dimension()

int ON_BezierSurface::Dimension

(

)

const

Domain()

ON_Interval ON_BezierSurface::Domain

(

int

)

const

Dump()

void ON_BezierSurface::Dump

(

ON_TextLog &

)

const

EmergencyDestroy()

void ON_BezierSurface::EmergencyDestroy

(

)

Evaluate()

bool ON_BezierSurface::Evaluate	(	double	,
		double	,
		int	,
		int	,
		double *
	)		const

GetBBox()

bool ON_BezierSurface::GetBBox	(	double *	,
		double *	,
		bool	bGrowBox = false
	)		const

GetBoundingBox()

bool ON_BezierSurface::GetBoundingBox	(	ON_BoundingBox &	bbox,
		int	bGrowBox
	)		const

GetCV() [1/3]

bool ON_BezierSurface::GetCV	(	int	,
		int	,
		ON::point_style	,
		double *
	)		const

GetCV() [2/3]

bool ON_BezierSurface::GetCV	(	int	,
		int	,
		ON_3dPoint &
	)		const

GetCV() [3/3]

bool ON_BezierSurface::GetCV	(	int	,
		int	,
		ON_4dPoint &
	)		const

GetNurbForm()

int ON_BezierSurface::GetNurbForm

(

ON_NurbsSurface &

)

const

Returns

0 = failure. 1 = success.

GetSurfaceSize()

bool ON_BezierSurface::GetSurfaceSize	(	double *	width,
		double *	height
	)		const

Get an estimate of the size of the rectangle that would be created if the 3d surface where flattened into a rectangle.

Parameters

width	[out] (corresponds to the first surface parameter)
height	[out] (corresponds to the first surface parameter)

Returns

true if successful.

IsoCurve()

ON_BezierCurve* ON_BezierSurface::IsoCurve	(	int	dir,
		double	c,
		ON_BezierCurve *	iso = nullptr
	)		const

returns the isocurve.

IsRational()

bool ON_BezierSurface::IsRational

(

)

const

IsSingular()

bool ON_BezierSurface::IsSingular

(

int

)

const

IsValid()

bool ON_BezierSurface::IsValid

(

)

const

Loft() [1/2]

bool ON_BezierSurface::Loft

(

const ON_ClassArray< ON_BezierCurve > &

curve_list

)

Loft a bezier surface through a list of bezier curves.

Parameters

curve_list

[in] list of curves that have the same degree.

Returns

True if successful.

Loft() [2/2]

bool ON_BezierSurface::Loft	(	int	count,
		const ON_BezierCurve *const *	curve_list
	)

Loft a bezier surface through a list of bezier curves.

Parameters

curve_count	[in] number of curves in curve_list
curve_list	[in] array of pointers to curves that have the same degree.

Returns

True if successful.

MakeNonRational()

bool ON_BezierSurface::MakeNonRational

(

)

MakeRational()

bool ON_BezierSurface::MakeRational

(

)

operator=() [1/2]

ON_BezierSurface& ON_BezierSurface::operator=

(

const ON_BezierSurface &

)

operator=() [2/2]

ON_BezierSurface& ON_BezierSurface::operator=

(

const ON_PolynomialSurface &

)

Order()

int ON_BezierSurface::Order

(

int

)

const

PointAt()

ON_3dPoint ON_BezierSurface::PointAt	(	double	s,
		double	t
	)		const

ReserveCVCapacity()

bool ON_BezierSurface::ReserveCVCapacity

(

int

)

Tools for managing CV and knot memory.

Reverse()

bool ON_BezierSurface::Reverse

(

int

)

Rotate() [1/2]

bool ON_BezierSurface::Rotate	(	double	sin_angle,
		double	cos_angle,
		const ON_3dVector &	rotation_axis,
		const ON_3dPoint &	rotation_center
	)

Rotates the bezier surface about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule).

Parameters

sin_angle	[in] sine of rotation angle
cos_angle	[in] sine of rotation angle
rotation_axis	[in] direction of the axis of rotation
rotation_center	[in] point on the axis of rotation

Returns

true if bezier surface successfully rotated

Uses ON_BezierSurface::Transform() function to calculate the result.

Rotate() [2/2]

bool ON_BezierSurface::Rotate	(	double	rotation_angle,
		const ON_3dVector &	rotation_axis,
		const ON_3dPoint &	rotation_center
	)

Rotates the bezier surface about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule).

Parameters

rotation_angle	[in] angle of rotation in radians
rotation_axis	[in] direction of the axis of rotation
rotation_center	[in] point on the axis of rotation

Returns

true if bezier surface successfully rotated

Uses ON_BezierSurface::Transform() function to calculate the result.

Scale()

bool ON_BezierSurface::Scale

(

double

scale_factor

)

Scales the bezier surface by the specified facotor. The scale is centered at the origin.

Parameters

scale_factor

[in] scale factor

Returns

true if bezier surface successfully scaled

Uses ON_BezierSurface::Transform() function to calculate the result.

SetCV() [1/3]

bool ON_BezierSurface::SetCV	(	int	,
		int	,
		ON::point_style	,
		const double *
	)

SetCV() [2/3]

bool ON_BezierSurface::SetCV	(	int	,
		int	,
		const ON_3dPoint &
	)

SetCV() [3/3]

bool ON_BezierSurface::SetCV	(	int	,
		int	,
		const ON_4dPoint &
	)

SetWeight()

bool ON_BezierSurface::SetWeight	(	int	,
		int	,
		double
	)

Split()

bool ON_BezierSurface::Split	(	int	,
		double	,
		ON_BezierSurface &	,
		ON_BezierSurface &
	)		const

Transform()

bool ON_BezierSurface::Transform

(

const ON_Xform &

)

Translate()

bool ON_BezierSurface::Translate

(

const ON_3dVector &

translation_vector

)

Translates the bezier surface along the specified vector.

Parameters

translation_vector

[in] translation vector

Returns

true if bezier surface successfully translated

Uses ON_BezierSurface::Transform() function to calculate the result.

Transpose()

bool ON_BezierSurface::Transpose

(

)

Trim()

bool ON_BezierSurface::Trim	(	int	dir,
		const ON_Interval &	domain
	)

Weight()

double ON_BezierSurface::Weight	(	int	,
		int
	)		const

ZeroCVs()

bool ON_BezierSurface::ZeroCVs

(

)

Member Data Documentation

m_cv

double* ON_BezierSurface::m_cv

m_cv_capacity

int ON_BezierSurface::m_cv_capacity

m_cv_stride

int ON_BezierSurface::m_cv_stride[2]

m_dim

int ON_BezierSurface::m_dim

Implementation.

m_is_rat

int ON_BezierSurface::m_is_rat

m_order

int ON_BezierSurface::m_order[2]