com.kuka.math.geometry
Class AbstractTransformation

java.lang.Object
  com.kuka.math.geometry.AbstractTransformation

All Implemented Interfaces:

ITransformation

Direct Known Subclasses:

MatrixTransformation, Transformation, XyzAbcTransformation

public abstract class AbstractTransformation
extends Object
implements ITransformation

Represents a transformation in 3-dimensional space. A transformation consists of a spatial rotation and a translation.

The Robotics API always assumes the translation vector to be given in [mm].

By default all computations will be done on the MatrixTransformation representation of the rotation.

Note: When operating on AbstractTransformation there is no guarantee that the type is immutable, unless you have explicitly converted it to an immutable type before.

Constructor Summary

AbstractTransformation()

Method Summary

Point3D	applyTo(Point3D point) Applies this transformation to the given point.
Vector3D	applyTo(Vector3D vector) Applies this transformation to the given vector.
ITransformation	compose(ITransformation other) If the transformations A and B are represented as homogeneous matrices, then the effect of A.compose(B) is that of the matrix multiplication A*B.
double	distanceTo(ITransformation other) Calculates the euclidean distance of the origin of this transformation to the origin of the given transformation.
abstract IRotation	getRotation() Returns the rotation corresponding to this transformation.
abstract Vector3D	getTranslation() Returns the translation part of the transformation, i.e. the upper-right 3x1 part of the corresponding homogeneous transformation matrix.
ITransformation	invert() Returns an inverted transformation, i.e. a transformation that reverses the effect of this one.
double	rotationalDistanceTo(ITransformation other) Calculates the rotational distance from this transformation to the other transformation.
String	toString() Returns a textual description of the transformation.
ITransformation	transformationTo(ITransformation other) Calculates the transformation needed to move this transformation into the other transformation.
ITransformation	withRotation(IRotation rotation) Returns a new instance (copy) of the transformation, with the rotational part replaced by the given rotation.
ITransformation	withTranslation(Vector3D translation) Returns a new instance (copy) of the transformation, with the translational part replaced by the given translation.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

AbstractTransformation

public AbstractTransformation()

Method Detail

applyTo

public Vector3D applyTo(Vector3D vector)

Description copied from interface: ITransformation

Applies this transformation to the given vector. This results in a (displacement) vector represented in the new coordinate system. From a numerical point of view only the rotational part of the transformation is applied to the three components of the vector, the translational part of the transformation will not be applied to the vector

See class info of ITransformation or Vector3D for more information

Specified by:

applyTo in interface ITransformation

Parameters:

vector - the vector to be transformed

Returns:

a new rotated vector

applyTo

public Point3D applyTo(Point3D point)

Description copied from interface: ITransformation

Applies this transformation to the given point. This results in a point represented in the new coordinate system, which means that the origin of the point is translated. From a numerical point of view the translational and the rotational part of the transformation are applied to the three components of the vector.

Specified by:

applyTo in interface ITransformation

Parameters:

point - the point to be transformed

Returns:

a new point

compose

public ITransformation compose(ITransformation other)

Description copied from interface: ITransformation

If the transformations A and B are represented as homogeneous matrices, then the effect of A.compose(B) is that of the matrix multiplication A*B.

Specified by:

compose in interface ITransformation

Parameters:

other - the transformation to combine with this one

Returns:

the combined transformation

invert

public ITransformation invert()

Description copied from interface: ITransformation

Returns an inverted transformation, i.e. a transformation that reverses the effect of this one.

Specified by:

invert in interface ITransformation

Returns:

the inverted transformation.

toString

public String toString()

Returns a textual description of the transformation. The representation is subject to change.

This implementation will return a description of origin in cartesian coordinates and rotation in Euler Z-Y-X angles with KUKA notation (A, B, C). The following string can be regarded as typical:

"[X=100.00 Y=-234.23 Z=-3.00 A=1.23 B=3.14 C=-0.13]"

Overrides:

toString in class Object

Returns:

a brief description of the transformation

getRotation

public abstract IRotation getRotation()

Description copied from interface: ITransformation

Returns the rotation corresponding to this transformation.

Specified by:

getRotation in interface ITransformation

Returns:

the rotation part of the transformation

getTranslation

public abstract Vector3D getTranslation()

Description copied from interface: ITransformation

Returns the translation part of the transformation, i.e. the upper-right 3x1 part of the corresponding homogeneous transformation matrix.

Specified by:

getTranslation in interface ITransformation

Returns:

the translation part of the transformation

withRotation

public ITransformation withRotation(IRotation rotation)

Returns a new instance (copy) of the transformation, with the rotational part replaced by the given rotation.

Parameters:

rotation - the rotational part of the transformation (the upper-left 3x3 part of a homogeneous transformation matrix).

Returns:

a new instance of the class

withTranslation

public ITransformation withTranslation(Vector3D translation)

Returns a new instance (copy) of the transformation, with the translational part replaced by the given translation.

Parameters:

translation - the translational part of the transformation (the upper-right 3x1 part of a homogeneous transformation matrix).

Returns:

a new instance of the class

transformationTo

public ITransformation transformationTo(ITransformation other)

Description copied from interface: ITransformation

Calculates the transformation needed to move this transformation into the other transformation. The following holds true:

trafo1.compose(trafo1.rotationTo(trafo2)) is equal to trafo2

Specified by:

transformationTo in interface ITransformation

Parameters:

other - another transformation

Returns:

the difference transformation between this and the other transformation.

distanceTo

public double distanceTo(ITransformation other)

Description copied from interface: ITransformation

Calculates the euclidean distance of the origin of this transformation to the origin of the given transformation.

Specified by:

distanceTo in interface ITransformation

Parameters:

other - another transformation

Returns:

the distance of the origins in [mm]

rotationalDistanceTo

public double rotationalDistanceTo(ITransformation other)

Description copied from interface: ITransformation

Calculates the rotational distance from this transformation to the other transformation. The rotational distance is the angle of rotation needed to turn this transformation into the orientation of the other transformation.

Use this function to compare the orientations of two transformations.

Specified by:

rotationalDistanceTo in interface ITransformation

Parameters:

other - another transformation

Returns:

the positive rotational distance to the other transformation in [rad], in the range 0 to pi.