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Mesh2Mesh and Combo Map examples.
Also fixed plotting codes to show the plots by default.
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@@ -63,26 +63,8 @@ done by the :class:`SimPEG.Maps.ExpMap` described above.
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.. plot::
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from SimPEG import *
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import matplotlib.pyplot as plt
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M = Mesh.TensorMesh([7,5])
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v1dMap = Maps.SurjectVertical1D(M)
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expMap = Maps.ExpMap(M)
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myMap = expMap * v1dMap
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m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
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sig = myMap * m
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figs, axs = plt.subplots(1,2)
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axs[0].plot(m, M.vectorCCy, 'b-o')
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axs[0].set_title('Model')
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axs[0].set_ylabel('Depth, y')
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axs[0].set_xlabel('Value, $m_i$')
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axs[0].set_xlim(0,3)
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axs[0].set_ylim(0,1)
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clbar = plt.colorbar(M.plotImage(sig,ax=axs[1],grid=True,gridOpts=dict(color='grey'))[0])
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axs[1].set_title('Physical Property')
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axs[1].set_ylabel('Depth, y')
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clbar.set_label('$\sigma = \exp(\mathbf{P}m)$')
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plt.tight_layout()
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from SimPEG import Examples
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Examples.Maps_ComboMaps.run()
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If you noticed, it was pretty easy to combine maps. What is even cooler is
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that the derivatives also are made for you (if everything goes right).
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@@ -167,31 +149,10 @@ Map 2D Cross-Section to 3D Model
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Mesh to Mesh Map
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----------------
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.. plot::
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from SimPEG import *
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import matplotlib.pyplot as plt
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M = Mesh.TensorMesh([100,100])
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h1 = Utils.meshTensor([(6,7,-1.5),(6,10),(6,7,1.5)])
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h1 = h1/h1.sum()
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M2 = Mesh.TensorMesh([h1,h1])
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V = Utils.ModelBuilder.randomModel(M.vnC, seed=79, its=50)
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v = Utils.mkvc(V)
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modh = Maps.Mesh2Mesh([M,M2])
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modH = Maps.Mesh2Mesh([M2,M])
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H = modH * v
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h = modh * H
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ax = plt.subplot(131)
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M.plotImage(v, ax=ax)
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ax.set_title('Fine Mesh (Original)')
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ax = plt.subplot(132)
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M2.plotImage(H,clim=[0,1],ax=ax)
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ax.set_title('Course Mesh')
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ax = plt.subplot(133)
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M.plotImage(h,clim=[0,1],ax=ax)
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ax.set_title('Fine Mesh (Interpolated)')
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plt.show()
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from SimPEG import Examples
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Examples.Maps_Mesh2Mesh.run()
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.. autoclass:: SimPEG.Maps.Mesh2Mesh
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@@ -0,0 +1,26 @@
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.. _examples_Inversion_IRLS:
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.. --------------------------------- ..
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.. ..
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.. THIS FILE IS AUTO GENEREATED ..
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.. ..
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.. SimPEG/Examples/__init__.py ..
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.. ..
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.. --------------------------------- ..
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Inversion: Linear Problem
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=========================
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Here we go over the basics of creating a linear problem and inversion.
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.. plot::
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from SimPEG import Examples
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Examples.Inversion_IRLS.run()
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.. literalinclude:: ../../../SimPEG/Examples/Inversion_IRLS.py
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:language: python
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:linenos:
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@@ -0,0 +1,48 @@
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.. _examples_Maps_ComboMaps:
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.. --------------------------------- ..
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.. ..
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.. THIS FILE IS AUTO GENEREATED ..
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.. ..
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.. SimPEG/Examples/__init__.py ..
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.. ..
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.. --------------------------------- ..
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Maps: ComboMaps
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===============
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We will use an example where we want a 1D layered earth as
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our model, but we want to map this to a 2D discretization to do our forward
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modeling. We will also assume that we are working in log conductivity still,
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so after the transformation we want to map to conductivity space.
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To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
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which does the first part of what we just described. The second part will be
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done by the :class:`SimPEG.Maps.ExpMap` described above.
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.. code-block:: python
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:linenos:
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M = Mesh.TensorMesh([7,5])
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v1dMap = Maps.SurjectVertical1D(M)
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expMap = Maps.ExpMap(M)
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myMap = expMap * v1dMap
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m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
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sig = myMap * m
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If you noticed, it was pretty easy to combine maps. What is even cooler is
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that the derivatives also are made for you (if everything goes right).
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Just to be sure that the derivative is correct, you should always run the test
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on the mapping that you create.
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.. plot::
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from SimPEG import Examples
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Examples.Maps_ComboMaps.run()
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.. literalinclude:: ../../../SimPEG/Examples/Maps_ComboMaps.py
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:language: python
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:linenos:
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@@ -0,0 +1,27 @@
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.. _examples_Maps_Mesh2Mesh:
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.. --------------------------------- ..
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.. ..
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.. THIS FILE IS AUTO GENEREATED ..
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.. ..
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.. SimPEG/Examples/__init__.py ..
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.. ..
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.. --------------------------------- ..
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Maps: Mesh2Mesh
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===============
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This mapping allows you to go from one mesh to another.
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.. plot::
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from SimPEG import Examples
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Examples.Maps_Mesh2Mesh.run()
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.. literalinclude:: ../../../SimPEG/Examples/Maps_Mesh2Mesh.py
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:language: python
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:linenos:
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