Source code for cil.optimisation.operators.IdentityOperator

#  Copyright 2019 United Kingdom Research and Innovation
#  Copyright 2019 The University of Manchester
#
#  Licensed under the Apache License, Version 2.0 (the "License");
#  you may not use this file except in compliance with the License.
#  You may obtain a copy of the License at
#
#      http://www.apache.org/licenses/LICENSE-2.0
#
#  Unless required by applicable law or agreed to in writing, software
#  distributed under the License is distributed on an "AS IS" BASIS,
#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
#  See the License for the specific language governing permissions and
#  limitations under the License.
#
# Authors:
# CIL Developers, listed at: https://github.com/TomographicImaging/CIL/blob/master/NOTICE.txt

from cil.optimisation.operators import LinearOperator
import scipy.sparse as sp
import numpy as np



[docs]
class IdentityOperator(LinearOperator):

    '''IdentityOperator:  Id: X -> Y,  Id(x) = x\in Y

                   X : gm_domain
                   Y : gm_range ( Default: Y = X )

    '''


    def __init__(self, domain_geometry, range_geometry=None):


        if range_geometry is None:
            range_geometry = domain_geometry

        super(IdentityOperator, self).__init__(domain_geometry=domain_geometry,
                                       range_geometry=range_geometry)


[docs]
    def direct(self,x,out=None):

        '''Returns Id(x)'''

        if out is None:
            return x.copy()
        else:
            out.fill(x)
            return out



[docs]
    def adjoint(self,x, out=None):

        '''Returns Id(x)'''


        if out is None:
            return x.copy()
        else:
            out.fill(x)
            return out



[docs]
    def calculate_norm(self, **kwargs):

        '''Evaluates operator norm of IdentityOperator'''

        return 1.0



    ###########################################################################
    ###############  For preconditioning ######################################
    ###########################################################################
    def matrix(self):

        return sp.eye(np.prod(self.gm_domain.shape))

    def sum_abs_row(self):

        return self.gm_range.allocate(1)

    def sum_abs_col(self):

        return self.gm_domain.allocate(1)
    

[docs]
    def is_orthogonal(self):
        '''Returns if the operator is orthogonal
        Returns
        -------
        `Bool`
        '''
        return True
Table of Contents

Source code for cil.optimisation.operators.IdentityOperator
