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+
+
+.. _sphx_glr_auto_examples_plot_otda_mapping_colors_images.py:
+
+
+=====================================================
+OT for image color adaptation with mapping estimation
+=====================================================
+
+OT for domain adaptation with image color adaptation [6] with mapping
+estimation [8].
+
+[6] Ferradans, S., Papadakis, N., Peyre, G., & Aujol, J. F. (2014). Regularized
+ discrete optimal transport. SIAM Journal on Imaging Sciences, 7(3),
+ 1853-1882.
+[8] M. Perrot, N. Courty, R. Flamary, A. Habrard, "Mapping estimation for
+ discrete optimal transport", Neural Information Processing Systems (NIPS),
+ 2016.
+
+
+
+
+.. code-block:: python
+
+
+ # Authors: Remi Flamary <remi.flamary@unice.fr>
+ # Stanislas Chambon <stan.chambon@gmail.com>
+ #
+ # License: MIT License
+
+ import numpy as np
+ from scipy import ndimage
+ import matplotlib.pylab as pl
+ import ot
+
+ r = np.random.RandomState(42)
+
+
+ def im2mat(I):
+ """Converts and image to matrix (one pixel per line)"""
+ return I.reshape((I.shape[0] * I.shape[1], I.shape[2]))
+
+
+ def mat2im(X, shape):
+ """Converts back a matrix to an image"""
+ return X.reshape(shape)
+
+
+ def minmax(I):
+ return np.clip(I, 0, 1)
+
+
+
+
+
+
+
+
+Generate data
+-------------
+
+
+
+.. code-block:: python
+
+
+ # Loading images
+ I1 = ndimage.imread('../data/ocean_day.jpg').astype(np.float64) / 256
+ I2 = ndimage.imread('../data/ocean_sunset.jpg').astype(np.float64) / 256
+
+
+ X1 = im2mat(I1)
+ X2 = im2mat(I2)
+
+ # training samples
+ nb = 1000
+ idx1 = r.randint(X1.shape[0], size=(nb,))
+ idx2 = r.randint(X2.shape[0], size=(nb,))
+
+ Xs = X1[idx1, :]
+ Xt = X2[idx2, :]
+
+
+
+
+
+
+
+
+Domain adaptation for pixel distribution transfer
+-------------------------------------------------
+
+
+
+.. code-block:: python
+
+
+ # EMDTransport
+ ot_emd = ot.da.EMDTransport()
+ ot_emd.fit(Xs=Xs, Xt=Xt)
+ transp_Xs_emd = ot_emd.transform(Xs=X1)
+ Image_emd = minmax(mat2im(transp_Xs_emd, I1.shape))
+
+ # SinkhornTransport
+ ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)
+ ot_sinkhorn.fit(Xs=Xs, Xt=Xt)
+ transp_Xs_sinkhorn = ot_emd.transform(Xs=X1)
+ Image_sinkhorn = minmax(mat2im(transp_Xs_sinkhorn, I1.shape))
+
+ ot_mapping_linear = ot.da.MappingTransport(
+ mu=1e0, eta=1e-8, bias=True, max_iter=20, verbose=True)
+ ot_mapping_linear.fit(Xs=Xs, Xt=Xt)
+
+ X1tl = ot_mapping_linear.transform(Xs=X1)
+ Image_mapping_linear = minmax(mat2im(X1tl, I1.shape))
+
+ ot_mapping_gaussian = ot.da.MappingTransport(
+ mu=1e0, eta=1e-2, sigma=1, bias=False, max_iter=10, verbose=True)
+ ot_mapping_gaussian.fit(Xs=Xs, Xt=Xt)
+
+ X1tn = ot_mapping_gaussian.transform(Xs=X1) # use the estimated mapping
+ Image_mapping_gaussian = minmax(mat2im(X1tn, I1.shape))
+
+
+
+
+
+
+.. rst-class:: sphx-glr-script-out
+
+ Out::
+
+ It. |Loss |Delta loss
+ --------------------------------
+ 0|3.680518e+02|0.000000e+00
+ 1|3.592439e+02|-2.393116e-02
+ 2|3.590632e+02|-5.030248e-04
+ 3|3.589698e+02|-2.601358e-04
+ 4|3.589118e+02|-1.614977e-04
+ 5|3.588724e+02|-1.097608e-04
+ 6|3.588436e+02|-8.035205e-05
+ 7|3.588215e+02|-6.141923e-05
+ 8|3.588042e+02|-4.832627e-05
+ 9|3.587902e+02|-3.909574e-05
+ 10|3.587786e+02|-3.225418e-05
+ 11|3.587688e+02|-2.712592e-05
+ 12|3.587605e+02|-2.314041e-05
+ 13|3.587534e+02|-1.991287e-05
+ 14|3.587471e+02|-1.744348e-05
+ 15|3.587416e+02|-1.544523e-05
+ 16|3.587367e+02|-1.364654e-05
+ 17|3.587323e+02|-1.230435e-05
+ 18|3.587284e+02|-1.093370e-05
+ 19|3.587276e+02|-2.052728e-06
+ It. |Loss |Delta loss
+ --------------------------------
+ 0|3.784758e+02|0.000000e+00
+ 1|3.646352e+02|-3.656911e-02
+ 2|3.642861e+02|-9.574714e-04
+ 3|3.641523e+02|-3.672061e-04
+ 4|3.640788e+02|-2.020990e-04
+ 5|3.640321e+02|-1.282701e-04
+ 6|3.640002e+02|-8.751240e-05
+ 7|3.639765e+02|-6.521203e-05
+ 8|3.639582e+02|-5.007767e-05
+ 9|3.639439e+02|-3.938917e-05
+ 10|3.639323e+02|-3.187865e-05
+
+
+Plot original images
+--------------------
+
+
+
+.. code-block:: python
+
+
+ pl.figure(1, figsize=(6.4, 3))
+ pl.subplot(1, 2, 1)
+ pl.imshow(I1)
+ pl.axis('off')
+ pl.title('Image 1')
+
+ pl.subplot(1, 2, 2)
+ pl.imshow(I2)
+ pl.axis('off')
+ pl.title('Image 2')
+ pl.tight_layout()
+
+
+
+
+
+.. image:: /auto_examples/images/sphx_glr_plot_otda_mapping_colors_images_001.png
+ :align: center
+
+
+
+
+Plot pixel values distribution
+------------------------------
+
+
+
+.. code-block:: python
+
+
+ pl.figure(2, figsize=(6.4, 5))
+
+ pl.subplot(1, 2, 1)
+ pl.scatter(Xs[:, 0], Xs[:, 2], c=Xs)
+ pl.axis([0, 1, 0, 1])
+ pl.xlabel('Red')
+ pl.ylabel('Blue')
+ pl.title('Image 1')
+
+ pl.subplot(1, 2, 2)
+ pl.scatter(Xt[:, 0], Xt[:, 2], c=Xt)
+ pl.axis([0, 1, 0, 1])
+ pl.xlabel('Red')
+ pl.ylabel('Blue')
+ pl.title('Image 2')
+ pl.tight_layout()
+
+
+
+
+
+.. image:: /auto_examples/images/sphx_glr_plot_otda_mapping_colors_images_003.png
+ :align: center
+
+
+
+
+Plot transformed images
+-----------------------
+
+
+
+.. code-block:: python
+
+
+ pl.figure(2, figsize=(10, 5))
+
+ pl.subplot(2, 3, 1)
+ pl.imshow(I1)
+ pl.axis('off')
+ pl.title('Im. 1')
+
+ pl.subplot(2, 3, 4)
+ pl.imshow(I2)
+ pl.axis('off')
+ pl.title('Im. 2')
+
+ pl.subplot(2, 3, 2)
+ pl.imshow(Image_emd)
+ pl.axis('off')
+ pl.title('EmdTransport')
+
+ pl.subplot(2, 3, 5)
+ pl.imshow(Image_sinkhorn)
+ pl.axis('off')
+ pl.title('SinkhornTransport')
+
+ pl.subplot(2, 3, 3)
+ pl.imshow(Image_mapping_linear)
+ pl.axis('off')
+ pl.title('MappingTransport (linear)')
+
+ pl.subplot(2, 3, 6)
+ pl.imshow(Image_mapping_gaussian)
+ pl.axis('off')
+ pl.title('MappingTransport (gaussian)')
+ pl.tight_layout()
+
+ pl.show()
+
+
+
+.. image:: /auto_examples/images/sphx_glr_plot_otda_mapping_colors_images_004.png
+ :align: center
+
+
+
+
+**Total running time of the script:** ( 2 minutes 52.212 seconds)
+
+
+
+.. container:: sphx-glr-footer
+
+
+ .. container:: sphx-glr-download
+
+ :download:`Download Python source code: plot_otda_mapping_colors_images.py <plot_otda_mapping_colors_images.py>`
+
+
+
+ .. container:: sphx-glr-download
+
+ :download:`Download Jupyter notebook: plot_otda_mapping_colors_images.ipynb <plot_otda_mapping_colors_images.ipynb>`
+
+.. rst-class:: sphx-glr-signature
+
+ `Generated by Sphinx-Gallery <http://sphinx-gallery.readthedocs.io>`_