mt.geond.isometry

Classes

• Iso: Isometry = orthogonal transformation followed by translation.

class mt.geond.isometry.Iso(offset=array([0., 0.]), unitary=array([[1., 0.], [0., 1.]]))

Isometry = orthogonal transformation followed by translation.

An isometry is a (Euclidean-)metric-preserving transformation. In other words, it is an affine transformation but the linear part is a unitary matrix.

References

[1] Pham et al, Distances and Means of Direct Similarities, IJCV, 2015. (not true but cheeky MT is trying to advertise his paper!)

Inheritance

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__init__(offset=array([0., 0.]), unitary=array([[1., 0.], [0., 1.]]))

__repr__()

Return repr(self).

invert()

Lie inverse

property linear

Returns the linear part of the affine transformation matrix of the isometry.

multiply(other)

a*b = Lie operator

property scale

The scale component/scalar of the dilated isometry.