IMP  2.0.1
The Integrative Modeling Platform
IMP::algebra::Transformation2D Class Reference

Simple 2D transformation class. More...

#include <IMP/algebra/Transformation2D.h>

+ Inheritance diagram for IMP::algebra::Transformation2D:

Public Member Functions

 Transformation2D ()
 constructor. An invalid transformation is built
 
 Transformation2D (const Rotation2D &r, const Vector2D &t=Vector2D(0.0, 0.0))
 basic constructor from a Rotation2D and translation vector
 
 Transformation2D (const Vector2D &t)
 Constructor for a transformation with an identity rotation.
 
Transformation2D get_inverse () const
 Returns the inverse transformation.
 
const Rotation2D get_rotation () const
 Returns the rotation.
 
Vector2D get_transformed (const Vector2D &o) const
 Perform the transformation on an 2D vector. More...
 
const Vector2D get_translation () const
 Returns the translation.
 
Vector2D operator* (const Vector2D &v) const
 Perform the transformation on an 2D vector. More...
 
Transformation2D operator* (const Transformation2D &tr) const
 compose two transformations More...
 
const Transformation2Doperator*= (const Transformation2D &o)
 See help for operator*.
 
Transformation2D operator/ (const Transformation2D &b) const
 
const Transformation2Doperator/= (const Transformation2D &o)
 See help for operator/.
 
void set_rotation (double angle)
 
void set_translation (const Vector2D &v)
 Sets the translation.
 
void show (std::ostream &out=std::cout) const
 

Related Functions

(Note that these are not member functions.)

Transformation2D compose (const Transformation2D &a, const Transformation2D &b)
 compose two transformations More...
 
Transformation2D get_identity_transformation_2d ()
 Returns a transformation that does not do anything.
 
Transformation2D get_rotation_about_point (const Vector2D &point, const Rotation2D &rotation)
 Generates a Transformation2D object from a rotation around a point. More...
 

Detailed Description

Note
This class is a geometric primitive. Also, this class is not not initialized by its default constructor.

Definition at line 29 of file Transformation2D.h.

Member Function Documentation

Vector2D IMP::algebra::Transformation2D::get_transformed ( const Vector2D o) const
Parameters
[in]ovector where the transformation is applied
Note
: The transformation is done firstly applying the rotation and then the translation

Definition at line 53 of file Transformation2D.h.

Vector2D IMP::algebra::Transformation2D::operator* ( const Vector2D v) const
Note
: The transformation is done firstly applying the rotation and then the translation

Definition at line 62 of file Transformation2D.h.

Transformation2D IMP::algebra::Transformation2D::operator* ( const Transformation2D tr) const

\ note The transformations are composed such that for any vector v (rt1*rt2)*v = rt1*(rt2*v)

Definition at line 71 of file Transformation2D.h.

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Transformation2D IMP::algebra::Transformation2D::operator/ ( const Transformation2D b) const

Compute the transformation d which, when composed with b, gives this one. That is a(x)== d(b(x)) for all x.

Definition at line 83 of file Transformation2D.h.

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Friends And Related Function Documentation

Transformation2D compose ( const Transformation2D a,
const Transformation2D b 
)
related

For any vector v (a*b)*v = a*(b*v).

Definition at line 150 of file Transformation2D.h.

Transformation2D get_rotation_about_point ( const Vector2D point,
const Rotation2D rotation 
)
related

Generates a Transformation2D to rotate about a point rather than the origin.

Parameters
[in]pointCenter to rotate about
[in]rotationThe rotation to perform (defined taking the origin as reference, not the new point).

Definition at line 141 of file Transformation2D.h.


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