Resampling.adjoint

property Resampling.adjoint

Return an (approximate) adjoint.

The result is only exact if the interpolation and sampling operators of the underlying spaces match exactly.

Returns:

adjointResampling

Resampling operator defined in the opposite direction.

Examples

Create resampling operator and inverse:

>>> coarse_discr = odl.uniform_discr(0, 1, 3)
>>> fine_discr = odl.uniform_discr(0, 1, 6)
>>> resampling = odl.Resampling(coarse_discr, fine_discr, 'nearest')
>>> resampling_inv = resampling.inverse

The inverse is a proper left inverse if the resampling goes from a coarser to a finer sampling:

>>> x = [0, 1, 0]
>>> print(resampling_inv(resampling(x)))
[ 0.,  1.,  0.]

However, it can fail in the other direction:

>>> y = [0, 0, 0, 1, 0, 0]
>>> print(resampling(resampling_inv(y)))
[ 0.,  0.,  1.,  1.,  0.,  0.]