BezierPatch Class Reference

Bézier patches of dimension n<16. More...

#include <bezier.h>

Inheritance diagram for BezierPatch:

Public Member Functions
	BezierPatch ()
	Empty.
	BezierPatch (int, int)
	Create a Bézier patch.
	BezierPatch (const QVector< Vector > &, int, int)
	Create a Bézier patch.
virtual Vector	Vertex (const double &, const double &) const
	Compute a point on the patch.
virtual Vector	Normal (const double &, const double &) const
	Compute the normal at a given point on the patch.
virtual void	Tangents (const double &, const double &, Vector &, Vector &) const
	Compute the partial derivatives at a given point on the patch.
Vector	Vertex (int, int) const
	Return the control point.
Vector	operator() (int, int) const
	Return the control point.
Box	GetBox () const
	Compute the bouding box.
Mesh	GetMesh (int, int) const
	Create the mesh of the patch.
void	Rotate (const Matrix &)
	Rotates a patch.
void	Translate (const Vector &)
	Translation.
void	Scale (const Vector &)
	Scale.

Protected Member Functions
constexpr int	Index (int, int) const
	Compute the linear index of a control point.

Protected Attributes
QVector< Vector >	c
	Array of control points.
int	ny = 0
	Array size.

Detailed Description

Bézier patches of dimension n<16.

Constructor & Destructor Documentation

BezierPatch() [1/2]

BezierPatch::BezierPatch ( int nx, int ny )

explicit

Create a Bézier patch.

All control points are set to Vector::Null.

Parameters

nx,ny

Number of control points.

BezierPatch() [2/2]

BezierPatch::BezierPatch ( const QVector< Vector > & c, int nx, int ny )

explicit

Create a Bézier patch.

Parameters

c	Set of control points.
nx,ny	Number of control points.

Member Function Documentation

GetMesh()

Mesh BezierPatch::GetMesh	(	int	nu,
		int	nv ) const

Create the mesh of the patch.

Parameters

nu,nv

Subdivisons.

Index()

int BezierPatch::Index ( int i, int j ) const

inlineconstexprprotected

Compute the linear index of a control point.

Parameters

i,j	Control point indexes.

Normal()

Vector BezierPatch::Normal ( const double & u, const double & v ) const

virtual

Compute the normal at a given point on the patch.

Parameters

u,v	Coordinates.

Reimplemented in BezierCubicPatch.

operator()()

Vector BezierPatch::operator()	(	int	i,
		int	j ) const

Return the control point.

Parameters

i,j

Indexes.

Rotate()

void BezierPatch::Rotate

(

const Matrix &

r

)

Rotates a patch.

Parameters

r	Rotation matrix.

Scale()

void BezierPatch::Scale

(

const Vector &

s

)

Scale.

Parameters

s	Scaling vector.

Tangents()

void BezierPatch::Tangents ( const double & u, const double & v, Vector & tu, Vector & tv ) const

virtual

Compute the partial derivatives at a given point on the patch.

Parameters

u,v	Coordinates.
tu,tv	Tangent vectors, not normalized.

Translate()

void BezierPatch::Translate

(

const Vector &

t

)

Translation.

Parameters

t	Translation vector.

Vertex() [1/2]

Vector BezierPatch::Vertex ( const double & u, const double & v ) const

virtual

Compute a point on the patch.

Parameters

u,v	Coordinates.

Reimplemented in BezierCubicPatch.

Vertex() [2/2]

Vector BezierPatch::Vertex	(	int	i,
		int	j ) const

Return the control point.

Parameters

i,j

Indexes.