Kratos::AffineTransform Class Reference

Class for applying affine transformations. More...

#include <affine_transform.h>

Inheritance diagram for Kratos::AffineTransform:

Collaboration diagram for Kratos::AffineTransform:

Public Member Functions
Type Definitions
	KRATOS_CLASS_POINTER_DEFINITION (AffineTransform)
Life Cycle
	AffineTransform ()
	Default constructor sets up an identity transform. More...
	AffineTransform (const array_1d< double, 3 > &rAxis, const double angle, const array_1d< double, 3 > &rReferencePoint, const array_1d< double, 3 > &rTranslationVector)
	Construct from axis and angle. More...
	AffineTransform (const array_1d< double, 3 > &rEulerAngles, const array_1d< double, 3 > &rReferencePoint, const array_1d< double, 3 > &rTranslationVector)
	Construct from euler angles. More...
	AffineTransform (const Quaternion< double > &rQuaternion, const array_1d< double, 3 > &rReferencePoint, const array_1d< double, 3 > &rTranslationVector)
	Construct from a quaternion. More...
Operations
void	SetRotation (const array_1d< double, 3 > &rAxis, const double angle, const array_1d< double, 3 > &rReferencePoint)
	Set rotation from an axis and an angle. More...
void	SetRotation (const array_1d< double, 3 > &rEulerAngles, const array_1d< double, 3 > &rReferencePoint)
	Set rotation from euler angles. More...
void	SetRotation (const Quaternion< double > &rQuaternion, const array_1d< double, 3 > &rReferencePoint)
	Set rotation from a quaternion. More...
void	SetTranslation (const array_1d< double, 3 > &rTranslationVector)
	Set translation part of the transformation. More...
array_1d< double, 3 >	Apply (const array_1d< double, 3 > &rPoint) const
	Return the transformed version of the input vector. More...

Protected Attributes
Member Variables
array_1d< double, 3 >	mReferencePoint
array_1d< double, 3 >	mTranslationVector
Matrix	mRotationMatrix

Detailed Description

Class for applying affine transformations.

for now, only a rotation followed by a translation on an array of size 3 is implemented. The net transformation is equivalent to: 1) Translation to the reference frame (offset the origin) 2) Specified rotation 3) Reverse translation from the reference frame (undo origin offset) 4) Specified translation

Note

angles in radians.

Constructor & Destructor Documentation

AffineTransform() [1/4]

Kratos::AffineTransform::AffineTransform

(

)

Default constructor sets up an identity transform.

AffineTransform() [2/4]

Kratos::AffineTransform::AffineTransform	(	const array_1d< double, 3 > &	rAxis,
		const double	angle,
		const array_1d< double, 3 > &	rReferencePoint,
		const array_1d< double, 3 > &	rTranslationVector
	)

Construct from axis and angle.

Parameters

rAxis	axis of rotation (direction vector).
angle	angle of rotation (in radians).
rReferencePoint	a point on the axis of rotation.
rTranslationVector	translation vector.

AffineTransform() [3/4]

Kratos::AffineTransform::AffineTransform	(	const array_1d< double, 3 > &	rEulerAngles,
		const array_1d< double, 3 > &	rReferencePoint,
		const array_1d< double, 3 > &	rTranslationVector
	)

Construct from euler angles.

Parameters

rEulerAngles	euler angles (radians).
rReferencePoint	origin of rotation.
rTranslationVector	translation vector.

Note

The euler angles follow the convention specified by Quaternion (Z, -X', Z").

AffineTransform() [4/4]

Kratos::AffineTransform::AffineTransform	(	const Quaternion< double > &	rQuaternion,
		const array_1d< double, 3 > &	rReferencePoint,
		const array_1d< double, 3 > &	rTranslationVector
	)

Construct from a quaternion.

Parameters

rQuaternion	quaternion defining the rotation angle and axis.
rReferencePoint	a point on the axis of rotation.
rTranslationVector	translation vector.

Member Function Documentation

Apply()

array_1d<double,3> Kratos::AffineTransform::Apply ( const array_1d< double, 3 > &  rPoint ) const

inline

Return the transformed version of the input vector.

KRATOS_CLASS_POINTER_DEFINITION()

Kratos::AffineTransform::KRATOS_CLASS_POINTER_DEFINITION

(

AffineTransform

)

SetRotation() [1/3]

void Kratos::AffineTransform::SetRotation	(	const array_1d< double, 3 > &	rAxis,
		const double	angle,
		const array_1d< double, 3 > &	rReferencePoint
	)

Set rotation from an axis and an angle.

Parameters

rAxis	axis of rotation.
angle	angle of rotation (radians).
rReferencePoint	a point on the axis of rotation.

SetRotation() [2/3]

void Kratos::AffineTransform::SetRotation	(	const array_1d< double, 3 > &	rEulerAngles,
		const array_1d< double, 3 > &	rReferencePoint
	)

Set rotation from euler angles.

Parameters

rEulerAngles	euler angles (radians).
rReferencePoint	a point on the axis of rotation.

Note

The euler angles follow the convention specified by Quaternion (Z, -X', Z").

SetRotation() [3/3]

void Kratos::AffineTransform::SetRotation	(	const Quaternion< double > &	rQuaternion,
		const array_1d< double, 3 > &	rReferencePoint
	)

Set rotation from a quaternion.

Parameters

rQuaternion	quaternion defining the axis and angle of rotation.
rReferencePoint	a point on the axis of rotation.

SetTranslation()

void Kratos::AffineTransform::SetTranslation

(

const array_1d< double, 3 > &

rTranslationVector

)

Set translation part of the transformation.

Parameters

rTranslationVector

translation vector.

Member Data Documentation

mReferencePoint

array_1d<double,3> Kratos::AffineTransform::mReferencePoint

protected

mRotationMatrix

Matrix Kratos::AffineTransform::mRotationMatrix

protected

mTranslationVector

array_1d<double,3> Kratos::AffineTransform::mTranslationVector

protected

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

• /home/runner/work/Documentation/Documentation/master/applications/MeshMovingApplication/custom_utilities/affine_transform.h
• /home/runner/work/Documentation/Documentation/master/applications/MeshMovingApplication/custom_utilities/affine_transform.cpp