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-# coding: utf-8
-# /*##########################################################################
-#
-# Copyright (c) 2016 European Synchrotron Radiation Facility
-#
-# Permission is hereby granted, free of charge, to any person obtaining a copy
-# of this software and associated documentation files (the "Software"), to deal
-# in the Software without restriction, including without limitation the rights
-# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-# copies of the Software, and to permit persons to whom the Software is
-# furnished to do so, subject to the following conditions:
-#
-# The above copyright notice and this permission notice shall be included in
-# all copies or substantial portions of the Software.
-#
-# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
-# THE SOFTWARE.
-#
-# ###########################################################################*/
-
-__authors__ = ["N. Vigano", "H. Payno", "P. Paleo"]
-__license__ = "MIT"
-__date__ = "19/09/2017"
-
-import numpy
-
-
-class PhantomGenerator(object):
- """
- Class for generating Phantoms
- """
-
- class _Ellipsoid:
- def __init__(self, a, b, c, x0, y0, z0, alpha, mu):
- self.a = a
- self.b = b
- self.c = c
- self.x0 = x0
- self.y0 = y0
- self.z0 = z0
- self.alpha = alpha * numpy.pi / 180.0
- self.mu = mu
- self.cosAlpha = numpy.cos(self.alpha)
- self.sinAlpha = numpy.sin(self.alpha)
-
- SHEPP_LOGAN = [
- # a b c x0 y0 z0 alpha mu
- _Ellipsoid(0.69, 0.92, 0.90, 0.0, 0.0, 0.0, 0.0, 0.10),
- _Ellipsoid(0.6624, 0.874, 0.88, 0.0, -0.02, 0.0, 0.0, -0.08),
- _Ellipsoid(0.11, 0.31, 0.21, 0.22, -0.0, 0.0, -18.0, -0.02),
- _Ellipsoid(0.16, 0.41, 0.22, -0.22, 0.0, -0.25, 18.0, -0.02),
- _Ellipsoid(0.21, 0.25, 0.35, 0.0, 0.35, -0.25, 0.0, 0.03),
- _Ellipsoid(0.046, 0.046, 0.046, 0.0, 0.10, -0.25, 0.0, 0.01),
- _Ellipsoid(0.046, 0.046, 0.02, 0.0, -0.10, -0.25, 0.0, 0.01),
- _Ellipsoid(0.046, 0.023, 0.02, -0.08, -0.605, -0.25, 0.0, 0.01),
- _Ellipsoid(0.023, 0.023, 0.10, 0.0, -0.605, -0.25, 0.0, 0.01),
- _Ellipsoid(0.023, 0.046, 0.10, 0.06, -0.605, -0.25, 0.0, 0.01)
- ]
-
- @staticmethod
- def get2DPhantomSheppLogan(n, ellipsoidID=None):
- """
- generate a classical 2D shepp logan phantom.
-
- :param n: The width (and height) of the phantom to generate
- :param ellipsoidID: The Id of the ellipsoid to pick. If None will
- produce every ellipsoid
- :return numpy.ndarray: shepp logan phantom
- """
- assert(ellipsoidID is None or (ellipsoidID >= 0 and ellipsoidID < len(PhantomGenerator.SHEPP_LOGAN)))
- if ellipsoidID is None:
- area = PhantomGenerator._get2DPhantom(n,
- PhantomGenerator.SHEPP_LOGAN)
- else:
- area = PhantomGenerator._get2DPhantom(n,
- [PhantomGenerator.SHEPP_LOGAN[ellipsoidID]])
-
- indices = numpy.abs(area) > 0
- area[indices] = numpy.multiply(area[indices] + 0.1, 5)
- return area / 100.0
-
- @staticmethod
- def _get2DPhantom(n, phantomSpec):
- area = numpy.ndarray(shape=(n, n))
- area.fill(0.)
-
- count = 0
- for ell in phantomSpec:
- count = count+1
- for x in range(n):
- sumSquareXandY = PhantomGenerator._getSquareXandYsum(n, x, ell)
- indices = sumSquareXandY <= 1
- area[indices, x] = ell.mu
- return area
-
- @staticmethod
- def _getSquareXandYsum(n, x, ell):
- supportX1 = numpy.ndarray(shape=(n, ))
- supportX2 = numpy.ndarray(shape=(n, ))
- support_consts = numpy.ndarray(shape=(n, ))
-
- xScaled = float(2*x-n)/float(n)
- xCos = xScaled * ell.cosAlpha
- xSin = -xScaled * ell.sinAlpha
- supportX1.fill(xCos)
- supportX2.fill(xSin)
-
- supportY1 = numpy.arange(n)
- support_consts.fill(2.)
- supportY1 = numpy.multiply(support_consts, supportY1)
- support_consts.fill(n)
- supportY1 = numpy.subtract(supportY1, support_consts)
- support_consts.fill(n)
- supportY1 = numpy.divide(supportY1, support_consts)
- supportY2 = numpy.array(supportY1)
-
- support_consts.fill(ell.sinAlpha)
- supportY1 = numpy.add(supportX1,
- numpy.multiply(supportY1, support_consts))
- support_consts.fill(ell.cosAlpha)
- supportY2 = numpy.add(supportX2,
- numpy.multiply(supportY2, support_consts))
-
- support_consts.fill(ell.x0)
- supportY1 = numpy.subtract(supportY1, support_consts)
- support_consts.fill(ell.y0)
- supportY2 = numpy.subtract(supportY2, support_consts)
-
- support_consts.fill(ell.a)
- supportY1 = numpy.power((numpy.divide(supportY1, support_consts)),
- 2)
- support_consts.fill(ell.b)
- supportY2 = numpy.power(numpy.divide(supportY2, support_consts),
- 2)
-
- return numpy.add(supportY1, supportY2)
-
- @staticmethod
- def _getSquareZ(n, ell):
- supportZ1 = numpy.arange(n)
- support_consts = numpy.ndarray(shape=(n, ))
- support_consts.fill(2.)
- supportZ1 = numpy.multiply(support_consts, supportZ1)
- support_consts.fill(n)
- supportZ1 = numpy.subtract(supportZ1, support_consts)
- support_consts.fill(n)
- supportZ1 = numpy.divide(supportZ1, support_consts)
-
- support_consts.fill(ell.z0)
- supportZ1 = numpy.subtract(supportZ1, ell.z0)
-
- support_consts.fill(ell.c)
- return numpy.power(numpy.divide(supportZ1, support_consts),
- 2)
-