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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_sinkhorn.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|3.680534e+02|0.000000e+00
- 1|3.592501e+02|-2.391854e-02
- 2|3.590682e+02|-5.061555e-04
- 3|3.589745e+02|-2.610227e-04
- 4|3.589167e+02|-1.611644e-04
- 5|3.588768e+02|-1.109242e-04
- 6|3.588482e+02|-7.972733e-05
- 7|3.588261e+02|-6.166174e-05
- 8|3.588086e+02|-4.871697e-05
- 9|3.587946e+02|-3.919056e-05
- 10|3.587830e+02|-3.228124e-05
- 11|3.587731e+02|-2.744744e-05
- 12|3.587648e+02|-2.334451e-05
- 13|3.587576e+02|-1.995629e-05
- 14|3.587513e+02|-1.761058e-05
- 15|3.587457e+02|-1.542568e-05
- 16|3.587408e+02|-1.366315e-05
- 17|3.587365e+02|-1.221732e-05
- 18|3.587325e+02|-1.102488e-05
- 19|3.587303e+02|-6.062107e-06
- It. |Loss |Delta loss
- --------------------------------
- 0|3.784871e+02|0.000000e+00
- 1|3.646491e+02|-3.656142e-02
- 2|3.642975e+02|-9.642655e-04
- 3|3.641626e+02|-3.702413e-04
- 4|3.640888e+02|-2.026301e-04
- 5|3.640419e+02|-1.289607e-04
- 6|3.640097e+02|-8.831646e-05
- 7|3.639861e+02|-6.487612e-05
- 8|3.639679e+02|-4.994063e-05
- 9|3.639536e+02|-3.941436e-05
- 10|3.639419e+02|-3.209753e-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:** ( 3 minutes 14.206 seconds)
-
-
-
-.. only :: html
-
- .. 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>`
-
-
-.. only:: html
-
- .. rst-class:: sphx-glr-signature
-
- `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_