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author | epapoutsellis <epapoutsellis@gmail.com> | 2019-04-25 17:46:35 +0100 |
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committer | epapoutsellis <epapoutsellis@gmail.com> | 2019-04-25 17:46:35 +0100 |
commit | ef64abf3fdfb72ef21a1f2bcd05bf0349c1d12f9 (patch) | |
tree | 9641809079ca1bdfa90ae0bc0da488573a44d8d4 /Wrappers | |
parent | 07e7344926bc8850ef5e2c1580fdff580ca8c9a9 (diff) | |
parent | 0f2d32bd2b8be057a1cf9778c04a9000240d6e75 (diff) | |
download | framework-ef64abf3fdfb72ef21a1f2bcd05bf0349c1d12f9.tar.gz framework-ef64abf3fdfb72ef21a1f2bcd05bf0349c1d12f9.tar.bz2 framework-ef64abf3fdfb72ef21a1f2bcd05bf0349c1d12f9.tar.xz framework-ef64abf3fdfb72ef21a1f2bcd05bf0349c1d12f9.zip |
TV 2D time
Diffstat (limited to 'Wrappers')
-rw-r--r-- | Wrappers/Python/wip/Demos/PDHG_TV_Tomo2D_time.py | 169 | ||||
-rw-r--r-- | Wrappers/Python/wip/pdhg_TV_tomography2D_time.py | 4 |
2 files changed, 171 insertions, 2 deletions
diff --git a/Wrappers/Python/wip/Demos/PDHG_TV_Tomo2D_time.py b/Wrappers/Python/wip/Demos/PDHG_TV_Tomo2D_time.py new file mode 100644 index 0000000..045458a --- /dev/null +++ b/Wrappers/Python/wip/Demos/PDHG_TV_Tomo2D_time.py @@ -0,0 +1,169 @@ +# -*- coding: utf-8 -*- +# This work is part of the Core Imaging Library developed by +# Visual Analytics and Imaging System Group of the Science Technology +# Facilities Council, STFC + +# Copyright 2018-2019 Evangelos Papoutsellis and Edoardo Pasca + +# 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. + +from ccpi.framework import ImageData, ImageGeometry, AcquisitionGeometry, AcquisitionData + +import numpy as np +import numpy +import matplotlib.pyplot as plt + +from ccpi.optimisation.algorithms import PDHG + +from ccpi.optimisation.operators import BlockOperator, Gradient +from ccpi.optimisation.functions import ZeroFunction, KullbackLeibler, \ + MixedL21Norm, BlockFunction + +from ccpi.astra.ops import AstraProjectorMC + +import os +import tomophantom +from tomophantom import TomoP2D + +# Create phantom for TV 2D dynamic tomography + +model = 102 # note that the selected model is temporal (2D + time) +N = 50 # set dimension of the phantom +# one can specify an exact path to the parameters file +# path_library2D = '../../../PhantomLibrary/models/Phantom2DLibrary.dat' +path = os.path.dirname(tomophantom.__file__) +path_library2D = os.path.join(path, "Phantom2DLibrary.dat") +#This will generate a N_size x N_size x Time frames phantom (2D + time) +phantom_2Dt = TomoP2D.ModelTemporal(model, N, path_library2D) + +plt.close('all') +plt.figure(1) +plt.rcParams.update({'font.size': 21}) +plt.title('{}''{}'.format('2D+t phantom using model no.',model)) +for sl in range(0,np.shape(phantom_2Dt)[0]): + im = phantom_2Dt[sl,:,:] + plt.imshow(im, vmin=0, vmax=1) + plt.pause(.1) + plt.draw + + +ig = ImageGeometry(voxel_num_x = N, voxel_num_y = N, channels = np.shape(phantom_2Dt)[0]) +data = ImageData(phantom_2Dt, geometry=ig) + +detectors = N +angles = np.linspace(0,np.pi,N) + +ag = AcquisitionGeometry('parallel','2D', angles, detectors, channels = np.shape(phantom_2Dt)[0]) +Aop = AstraProjectorMC(ig, ag, 'gpu') +sin = Aop.direct(data) + +scale = 2 +n1 = scale * np.random.poisson(sin.as_array()/scale) +noisy_data = AcquisitionData(n1, ag) + +tindex = [3, 6, 10] + +fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(10, 10)) +plt.subplot(1,3,1) +plt.imshow(noisy_data.as_array()[tindex[0],:,:]) +plt.axis('off') +plt.title('Time {}'.format(tindex[0])) +plt.subplot(1,3,2) +plt.imshow(noisy_data.as_array()[tindex[1],:,:]) +plt.axis('off') +plt.title('Time {}'.format(tindex[1])) +plt.subplot(1,3,3) +plt.imshow(noisy_data.as_array()[tindex[2],:,:]) +plt.axis('off') +plt.title('Time {}'.format(tindex[2])) + +fig.subplots_adjust(bottom=0.1, top=0.9, left=0.1, right=0.8, + wspace=0.02, hspace=0.02) + +plt.show() + +#%% +# Regularisation Parameter +alpha = 5 + +# Create operators +#op1 = Gradient(ig) +op1 = Gradient(ig, correlation='SpaceChannels') +op2 = Aop + +# Create BlockOperator +operator = BlockOperator(op1, op2, shape=(2,1) ) + +# Create functions + +f1 = alpha * MixedL21Norm() +f2 = KullbackLeibler(noisy_data) +f = BlockFunction(f1, f2) + +g = ZeroFunction() + +# Compute operator Norm +normK = operator.norm() + +# Primal & dual stepsizes +sigma = 1 +tau = 1/(sigma*normK**2) + + +# Setup and run the PDHG algorithm +pdhg = PDHG(f=f,g=g,operator=operator, tau=tau, sigma=sigma, memopt=True) +pdhg.max_iteration = 2000 +pdhg.update_objective_interval = 200 +pdhg.run(2000) + + +#%% +fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(10, 8)) + +plt.subplot(2,3,1) +plt.imshow(phantom_2Dt[tindex[0],:,:],vmin=0, vmax=1) +plt.axis('off') +plt.title('Time {}'.format(tindex[0])) + +plt.subplot(2,3,2) +plt.imshow(phantom_2Dt[tindex[1],:,:],vmin=0, vmax=1) +plt.axis('off') +plt.title('Time {}'.format(tindex[1])) + +plt.subplot(2,3,3) +plt.imshow(phantom_2Dt[tindex[2],:,:],vmin=0, vmax=1) +plt.axis('off') +plt.title('Time {}'.format(tindex[2])) + + +plt.subplot(2,3,4) +plt.imshow(pdhg.get_output().as_array()[tindex[0],:,:]) +plt.axis('off') +plt.subplot(2,3,5) +plt.imshow(pdhg.get_output().as_array()[tindex[1],:,:]) +plt.axis('off') +plt.subplot(2,3,6) +plt.imshow(pdhg.get_output().as_array()[tindex[2],:,:]) +plt.axis('off') +im = plt.imshow(pdhg.get_output().as_array()[tindex[0],:,:]) + + +fig.subplots_adjust(bottom=0.1, top=0.9, left=0.1, right=0.8, + wspace=0.02, hspace=0.02) + +cb_ax = fig.add_axes([0.83, 0.1, 0.02, 0.8]) +cbar = fig.colorbar(im, cax=cb_ax) + + +plt.show() + diff --git a/Wrappers/Python/wip/pdhg_TV_tomography2D_time.py b/Wrappers/Python/wip/pdhg_TV_tomography2D_time.py index dea8e5c..5423b22 100644 --- a/Wrappers/Python/wip/pdhg_TV_tomography2D_time.py +++ b/Wrappers/Python/wip/pdhg_TV_tomography2D_time.py @@ -16,7 +16,7 @@ import matplotlib.pyplot as plt from ccpi.optimisation.algorithms import PDHG, PDHG_old from ccpi.optimisation.operators import BlockOperator, Identity, Gradient -from ccpi.optimisation.functions import ZeroFun, L2NormSquared, \ +from ccpi.optimisation.functions import ZeroFunction, L2NormSquared, \ MixedL21Norm, BlockFunction, ScaledFunction from ccpi.astra.ops import AstraProjectorSimple, AstraProjectorMC @@ -100,7 +100,7 @@ operator = BlockOperator(op1, op2, shape=(2,1) ) alpha = 50 f = BlockFunction( alpha * MixedL21Norm(), \ 0.5 * L2NormSquared(b = noisy_data) ) -g = ZeroFun() +g = ZeroFunction() # Compute operator Norm normK = operator.norm() |