# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see .
#
# Copyright(C) 2018-2019 Max-Planck-Society
#
# Resolve is being developed at the Max-Planck-Institut fuer Astrophysik.
import numpy as np
import nifty5 as ift
class NFFT(ift.LinearOperator):
"""Performs a non-equidistant Fourier transform, i.e. a Fourier transform
followed by a degridding operation.
Parameters
----------
domain : RGSpace
Domain of the operator. It has to be two-dimensional and have shape
`(2N, 2N)`. The coordinates of the lower left pixel of the dirty image
are `(-N,-N)`, and of the upper right pixel `(N-1,N-1)`.
uv : numpy.ndarray
2D numpy array of type float64 and shape (M,2), where M is the number
of measurements. uv[i,0] and uv[i,1] contain the u and v coordinates
of measurement #i, respectively. All coordinates must lie in the range
`[-0.5; 0,5[`.
"""
def __init__(self, domain, uv):
from pynfft.nfft import NFFT
npix = domain.shape[0]
assert npix == domain.shape[1]
assert len(domain.shape) == 2
assert type(npix) == int, "npix must be integer"
assert npix > 0 and (
npix % 2) == 0, "npix must be an even, positive integer"
assert isinstance(uv, np.ndarray), "uv must be a Numpy array"
assert uv.dtype == np.float64, "uv must be an array of float64"
assert uv.ndim == 2, "uv must be a 2D array"
assert uv.shape[0] > 0, "at least one point needed"
assert uv.shape[1] == 2, "the second dimension of uv must be 2"
assert np.all(uv >= -0.5) and np.all(uv <= 0.5),\
"all coordinates must lie between -0.5 and 0.5"
self._domain = ift.DomainTuple.make(domain)
self._target = ift.DomainTuple.make(
ift.UnstructuredDomain(uv.shape[0]))
self._capability = self.TIMES | self.ADJOINT_TIMES
self.npt = uv.shape[0]
self.plan = NFFT(self.domain.shape, self.npt, m=6)
self.plan.x = uv
self.plan.precompute()
def apply(self, x, mode):
self._check_input(x, mode)
if mode == self.TIMES:
self.plan.f_hat = x.to_global_data()
res = self.plan.trafo().copy()
else:
self.plan.f = x.to_global_data()
res = self.plan.adjoint().copy()
return ift.Field.from_global_data(self._tgt(mode), res)