mt.geond.dilatation

Classes

• Dlt: Dilatation (scaling and translation) in n-dim space. Here, scaling is per dimension, not uniform scaling.

class mt.geond.dilatation.Dlt(offset=array([0., 0., 0.]), scale=array([1., 1., 1.]), check_shapes=True)

Dilatation (scaling and translation) in n-dim space. Here, scaling is per dimension, not uniform scaling.

Examples

>>> import numpy as _np
>>> from mt.geond.dilatation import Dlt
>>> a = Dlt(offset=np.array([1,2]), scale=np.array([3,4]))
>>> ~a
Dlt(offset=[-0.33333333 -0.5       ], scale=[0.33333333 0.25      ])
>>> a*~a
Dlt(offset=[0. 0.], scale=[1. 1.])
>>> a/a
Dlt(offset=[0. 0.], scale=[1. 1.])
>>> a%a
Dlt(offset=[0. 0.], scale=[1. 1.])
>>> b = _mg.Dlt(offset=np.array([1,0.5]), scale=np.array([1/3,0.25]))
>>> a*b
Dlt(offset=[4. 4.], scale=[1. 1.])
>>> b*a
Dlt(offset=[1.33333333 1.        ], scale=[1. 1.])
>>> a/b
Dlt(offset=[-8. -6.], scale=[ 9. 16.])
>>> b/a
Dlt(offset=[0.88888889 0.375     ], scale=[0.11111111 0.0625    ])
>>> a << np.ones(2)
array([4., 6.])

Inheritance

digraph inheritance608af13a80 { bgcolor=transparent; rankdir=LR; size="8.0, 12.0"; "Aff" [URL="mt.geond.affine.html#mt.geond.affine.Aff",fillcolor=white,fontname="Vera Sans, DejaVu Sans, Liberation Sans, Arial, Helvetica, sans",fontsize=10,height=0.25,shape=box,style="setlinewidth(0.5),filled",target="_top",tooltip="A transformer to perform affine transformations using the same transformation matrix in n-dim space."]; "LieTransformer" -> "Aff" [arrowsize=0.5,style="setlinewidth(0.5)"]; "GeometricObject" -> "Aff" [arrowsize=0.5,style="setlinewidth(0.5)"]; "Dlt" [URL="#mt.geond.dilatation.Dlt",fillcolor=white,fontname="Vera Sans, DejaVu Sans, Liberation Sans, Arial, Helvetica, sans",fontsize=10,height=0.25,shape=box,style="setlinewidth(0.5),filled",target="_top",tooltip="Dilatation (scaling and translation) in n-dim space. Here, scaling is per dimension, not uniform scaling."]; "Aff" -> "Dlt" [arrowsize=0.5,style="setlinewidth(0.5)"]; "GeometricObject" [URL="../mt.geo/mt.geo.object.html#mt.geo.object.GeometricObject",fillcolor=white,fontname="Vera Sans, DejaVu Sans, Liberation Sans, Arial, Helvetica, sans",fontsize=10,height=0.25,shape=box,style="setlinewidth(0.5),filled",target="_top",tooltip="A geometric object which lives in a d-dimensional Euclidean space."]; "InvertibleTransformer" [URL="../mt.geo/mt.geo.transformation.html#mt.geo.transformation.InvertibleTransformer",fillcolor=white,fontname="Vera Sans, DejaVu Sans, Liberation Sans, Arial, Helvetica, sans",fontsize=10,height=0.25,shape=box,style="setlinewidth(0.5),filled",target="_top",tooltip="A mixin asserting that this is a class of invertible transformers. "]; "Transformer" -> "InvertibleTransformer" [arrowsize=0.5,style="setlinewidth(0.5)"]; "LieTransformer" [URL="../mt.geo/mt.geo.transformation.html#mt.geo.transformation.LieTransformer",fillcolor=white,fontname="Vera Sans, DejaVu Sans, Liberation Sans, Arial, Helvetica, sans",fontsize=10,height=0.25,shape=box,style="setlinewidth(0.5),filled",target="_top",tooltip="A mixin asserting that this is a class of transformers living in a Lie group, supporting the associative multiplication operator and the inversion operator. "]; "InvertibleTransformer" -> "LieTransformer" [arrowsize=0.5,style="setlinewidth(0.5)"]; "Transformer" [URL="../mt.geo/mt.geo.transformation.html#mt.geo.transformation.Transformer",fillcolor=white,fontname="Vera Sans, DejaVu Sans, Liberation Sans, Arial, Helvetica, sans",fontsize=10,height=0.25,shape=box,style="setlinewidth(0.5),filled",target="_top",tooltip="A mixin asserting that this is a class of transformers."]; }

__init__(offset=array([0., 0., 0.]), scale=array([1., 1., 1.]), check_shapes=True)

__repr__()

Return repr(self).

property bias

The bias component of the affine transformation matrix.

property bias_dim

Returns the dimension of the bias vector.

property dim

Returns the dimension of the transformation.

invert()

Lie inverse

multiply(other)

a*b = Lie operator

property offset

The offset/bias part of the dilated isometry.

property scale

The scale component/scalar of the dilated isometry.

property weight

The weight/linear component of the affine transformation matrix.

property weight_shape

Returns the shape of the weight matrix.