fawkes::Bezier Class Reference

A Bezier curve class. More...

#include <geometry/bezier.h>

Inheritance diagram for fawkes::Bezier:

Inheritance graph
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List of all members.


Public Member Functions

 Bezier ()
 Constructor.
 Bezier (const std::vector< HomPoint > &control_points)
 Constructor.
 Bezier (const Bezier &b)
 Copy constructor.
 ~Bezier ()
 Destructor.
void set_control_points (const std::vector< HomPoint > &control_points)
 Set the control points.
void set_control_point (unsigned int index, const HomPoint &control_point)
 Replace a specific control point.
std::vector< HomPoint > get_control_points () const
 Get the control points.
HomPoint get_control_point (unsigned int i) const
 Get a specific control point.
unsigned int degree () const
 Get the degree of the polynom.
HomPoint eval (float t)
 Evalutate the polynom for a given t.
HomVector tangent_at_t (float t)
 Compute the tangent vector at position t.
HomVector tangent_at_point (unsigned int index)
 Compute the tangent vector at the specified control point.
void subdivide (float t, Bezier &c, Bezier &d)
 Subdivide the curve into two polynome of the same degree.
const std::vector< HomPoint > & approximate (unsigned int num_subdivisions=4)
 Approximate the curve with points.

Protected Member Functions

virtual void register_primitives ()
 Here, a derived class should register its primitives (HomPoints and HomVectors) by calling add_primitive for each of those.
virtual void post_transform ()
 This method is called after the primitives are transformed.

Detailed Description

A Bezier curve class.

Author:
Daniel Beck

Definition at line 34 of file bezier.h.

Constructor & Destructor Documentation

fawkes::Bezier::Bezier (  ) 

Constructor.

Definition at line 38 of file bezier.cpp.

References register_primitives().

fawkes::Bezier::Bezier ( const std::vector< HomPoint > &  control_points  ) 

Constructor.

Parameters:
control_points the control points for the Bezier curve

Definition at line 50 of file bezier.cpp.

References register_primitives().

fawkes::Bezier::Bezier ( const Bezier &  b  ) 

Copy constructor.

Parameters:
b another Bezier curve

Definition at line 67 of file bezier.cpp.

References fawkes::Transformable::clear_primitives(), and register_primitives().

fawkes::Bezier::~Bezier (  ) 

Destructor.

Definition at line 82 of file bezier.cpp.

Member Function Documentation

const vector< HomPoint > & fawkes::Bezier::approximate ( unsigned int  num_subdivisions = 4  ) 

Approximate the curve with points.

Parameters:
num_subdivisions the number of subdivisions that is performed
Returns:
the point approximating the curve

Definition at line 252 of file bezier.cpp.

Referenced by fawkes::BezierDrawer::draw().

unsigned int fawkes::Bezier::degree (  )  const

Get the degree of the polynom.

Returns:
the degree of the polynom

Definition at line 166 of file bezier.cpp.

HomPoint fawkes::Bezier::eval ( float  t  ) 

Evalutate the polynom for a given t.

Parameters:
t a value between 0.0 and 1.0
Returns:
the corresponding point on the curve

Definition at line 176 of file bezier.cpp.

HomPoint fawkes::Bezier::get_control_point ( unsigned int  i  )  const

Get a specific control point.

Parameters:
i the index of the control point

Definition at line 154 of file bezier.cpp.

std::vector< HomPoint > fawkes::Bezier::get_control_points (  )  const

Get the control points.

Returns:
a copy of the control points

Definition at line 145 of file bezier.cpp.

void fawkes::Bezier::post_transform (  )  [protected, virtual]

This method is called after the primitives are transformed.

Any additional updates that need to be done should be done here.

Implements fawkes::Transformable.

Definition at line 366 of file bezier.cpp.

void fawkes::Bezier::register_primitives (  )  [protected, virtual]

Here, a derived class should register its primitives (HomPoints and HomVectors) by calling add_primitive for each of those.

Implements fawkes::Transformable.

Definition at line 353 of file bezier.cpp.

References fawkes::Transformable::add_primitive().

Referenced by Bezier(), set_control_point(), and set_control_points().

void fawkes::Bezier::set_control_point ( unsigned int  index,
const HomPoint &  control_point 
)

Replace a specific control point.

Parameters:
index the index of the control point
control_point the replacement control point

Definition at line 130 of file bezier.cpp.

References fawkes::Transformable::clear_primitives(), and register_primitives().

void fawkes::Bezier::set_control_points ( const std::vector< HomPoint > &  control_points  ) 

Set the control points.

Parameters:
control_points the new control points

Definition at line 94 of file bezier.cpp.

References fawkes::Transformable::clear_primitives(), and register_primitives().

Referenced by subdivide().

void fawkes::Bezier::subdivide ( float  t,
Bezier &  c,
Bezier &  d 
)

Subdivide the curve into two polynome of the same degree.

Parameters:
t determines the point where the curve is divided
c the Bezier for the part [0, t]
d the Bezier for the part [t, 1]

Definition at line 221 of file bezier.cpp.

References set_control_points().

HomVector fawkes::Bezier::tangent_at_point ( unsigned int  index  ) 

Compute the tangent vector at the specified control point.

Parameters:
index the index of the control point
Returns:
the tangent vector

Definition at line 204 of file bezier.cpp.

References tangent_at_t().

HomVector fawkes::Bezier::tangent_at_t ( float  t  ) 

Compute the tangent vector at position t.

Parameters:
t the curve parameter
Returns:
the tangent vector

Definition at line 189 of file bezier.cpp.

Referenced by tangent_at_point().

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