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‎examples/BasicExamples/README.rst‎

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Basic examples
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--------------

‎examples/BasicExamples/__init__.py‎

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‎examples/BasicExamples/plot_afbf_1.py‎

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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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# ######### COPYRIGHT #########
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# Credits
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# #######
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#
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# Copyright(c) 2021-2021
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# ----------------------
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#
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# * Institut de Mathématiques de Marseille <https://www.i2m.univ-amu.fr/>
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# * Université d'Aix-Marseille <http://www.univ-amu.fr/>
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# * Centre National de la Recherche Scientifique <http://www.cnrs.fr/>
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#
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# Contributors
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# ------------
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#
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# * `Frédéric Richard <mailto:frederic.richard@univ-amu.fr>`_
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#
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#
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# * This module is part of the package PyAFBF.
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#
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# Licence
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# -------
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#
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# This program is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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#
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# ######### COPYRIGHT #########
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r"""
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=====================================
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Anisotropic Fractional Brownian field
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=====================================
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.. codeauthor:: Frédéric Richard <frederic.richard_at_univ-amu.fr>
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This example shows how to simulate an anisotropic fractional Brownian field
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with random Hurst step function.
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"""
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from afbf import tbfield, perfunction
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# Define the field.
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hurst = perfunction(ftype='step', param=2, fname='Hurst function')
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topo = perfunction(ftype='step', param=2, fname='Topothesy function')
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Z = tbfield(fname='afbf', topo=topo, hurst=hurst)
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Z.NormalizeModel()
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# Simulate the field.
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z = Z.Simulate()
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# Display the simulation.
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z.Display()
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Z.DisplayParameters()

‎examples/BasicExamples/plot_afbf_2.py‎

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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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# ######### COPYRIGHT #########
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# Credits
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# #######
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#
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# Copyright(c) 2021-2021
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# ----------------------
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#
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# * Institut de Mathématiques de Marseille <https://www.i2m.univ-amu.fr/>
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# * Université d'Aix-Marseille <http://www.univ-amu.fr/>
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# * Centre National de la Recherche Scientifique <http://www.cnrs.fr/>
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#
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# Contributors
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# ------------
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#
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# * `Frédéric Richard <mailto:frederic.richard@univ-amu.fr>`_
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#
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#
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# * This module is part of the package PyAFBF.
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#
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# Licence
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# -------
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#
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# This program is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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#
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# ######### COPYRIGHT #########
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r"""
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=====================================
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Anisotropic Fractional Brownian field
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=====================================
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.. codeauthor:: Frédéric Richard <frederic.richard_at_univ-amu.fr>
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This example shows how to simulate an anisotropic fractional Brownian field
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with random Hurst smooth-step function.
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"""
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from afbf import tbfield, perfunction
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# Define the field.
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hurst = perfunction(ftype='smooth-step', param=2, fname='Hurst function')
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topo = perfunction(ftype='smooth-step', param=2, fname='Topothesy function')
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Z = tbfield(fname='afbf', topo=topo, hurst=hurst)
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Z.NormalizeModel()
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# Simulate the field.
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z = Z.Simulate()
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# Display the simulation.
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z.Display()
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Z.DisplayParameters()

‎examples/BasicExamples/plot_efbf.py‎

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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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# ######### COPYRIGHT #########
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# Credits
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# #######
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#
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# Copyright(c) 2021-2021
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# ----------------------
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#
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# * Institut de Mathématiques de Marseille <https://www.i2m.univ-amu.fr/>
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# * Université d'Aix-Marseille <http://www.univ-amu.fr/>
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# * Centre National de la Recherche Scientifique <http://www.cnrs.fr/>
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#
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# Contributors
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# ------------
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#
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# * `Frédéric Richard <mailto:frederic.richard@univ-amu.fr>`_
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#
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#
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# * This module is part of the package PyAFBF.
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#
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# Licence
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# -------
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#
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# This program is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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#
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# ######### COPYRIGHT #########
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r"""
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====================================
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Elementary Fractional Brownian field
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====================================
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.. codeauthor:: Frédéric Richard <frederic.richard_at_univ-amu.fr>
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This example shows how to simulate an elementary fractional Brownian field
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with prescribed Hurst index, step intervals and directions.
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"""
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import numpy as np
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from afbf import tbfield
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N = 256 # Image size.
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H = 0.2 # Hurst index in (0, 1).
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T = np.pi / 8 # Interval bound for selected frequencies.
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D = np.pi / 3 # Direction.
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# Define the field.
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Z = tbfield('efbf')
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# Change the parameter of the Hurst and topothesy functions.
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Z.hurst.ChangeParameters(fparam=np.array([[H]]))
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Z.topo.ChangeParameters(fparam=np.array([0, 1]), finter=np.array([-T, T]))
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# Translate the topothesy function to be at the right orientation.
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Z.topo.ApplyTransforms(translate=-D)
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# Simulate the field.
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z = Z.Simulate()
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# Display the simulation.
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z.Display()

‎examples/BasicExamples/plot_fbf.py‎

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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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# ######### COPYRIGHT #########
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# Credits
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# #######
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#
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# Copyright(c) 2021-2021
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# ----------------------
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#
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# * Institut de Mathématiques de Marseille <https://www.i2m.univ-amu.fr/>
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# * Université d'Aix-Marseille <http://www.univ-amu.fr/>
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# * Centre National de la Recherche Scientifique <http://www.cnrs.fr/>
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#
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# Contributors
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# ------------
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#
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# * `Frédéric Richard <mailto:frederic.richard@univ-amu.fr>`_
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#
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#
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# * This module is part of the package PyAFBF.
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#
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# Licence
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# -------
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#
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# This program is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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#
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# ######### COPYRIGHT #########
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r"""
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=========================
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Fractional Brownian field
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=========================
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.. codeauthor:: Frédéric Richard <frederic.richard_at_univ-amu.fr>
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This example shows how to simulate a fractional Brownian field with
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a prescribed Hurst index.
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"""
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import numpy as np
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from afbf import tbfield
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N = 256 # Image size.
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H = 0.2 # Hurst index in (0, 1).
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# Define the field.
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Z = tbfield('fbf')
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# Change the parameter of the Hurst function.
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Z.hurst.ChangeParameters(np.array([[H]]))
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Z.NormalizeModel()
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# Simulate the field.
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z = Z.Simulate()
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# Display the simulation.
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z.Display()

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