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-
-
-.. _sphx_glr_auto_examples_plot_otda_color_images.py:
-
-
-=============================
-OT for image color adaptation
-=============================
-
-This example presents a way of transferring colors between two images
-with Optimal Transport as introduced in [6]
-
-[6] Ferradans, S., Papadakis, N., Peyre, G., & Aujol, J. F. (2014).
-Regularized discrete optimal transport.
-SIAM Journal on Imaging Sciences, 7(3), 1853-1882.
-
-
-
-.. 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 an 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, :]
-
-
-
-
-
-
-
-
-Plot original image
--------------------
-
-
-
-.. 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')
-
-
-
-
-
-.. image:: /auto_examples/images/sphx_glr_plot_otda_color_images_001.png
- :align: center
-
-
-
-
-Scatter plot of colors
-----------------------
-
-
-
-.. code-block:: python
-
-
- pl.figure(2, figsize=(6.4, 3))
-
- 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_color_images_003.png
- :align: center
-
-
-
-
-Instantiate the different transport algorithms and fit them
------------------------------------------------------------
-
-
-
-.. code-block:: python
-
-
- # EMDTransport
- ot_emd = ot.da.EMDTransport()
- ot_emd.fit(Xs=Xs, Xt=Xt)
-
- # SinkhornTransport
- ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)
- ot_sinkhorn.fit(Xs=Xs, Xt=Xt)
-
- # prediction between images (using out of sample prediction as in [6])
- transp_Xs_emd = ot_emd.transform(Xs=X1)
- transp_Xt_emd = ot_emd.inverse_transform(Xt=X2)
-
- transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=X1)
- transp_Xt_sinkhorn = ot_sinkhorn.inverse_transform(Xt=X2)
-
- I1t = minmax(mat2im(transp_Xs_emd, I1.shape))
- I2t = minmax(mat2im(transp_Xt_emd, I2.shape))
-
- I1te = minmax(mat2im(transp_Xs_sinkhorn, I1.shape))
- I2te = minmax(mat2im(transp_Xt_sinkhorn, I2.shape))
-
-
-
-
-
-
-
-
-Plot new images
----------------
-
-
-
-.. code-block:: python
-
-
- pl.figure(3, figsize=(8, 4))
-
- pl.subplot(2, 3, 1)
- pl.imshow(I1)
- pl.axis('off')
- pl.title('Image 1')
-
- pl.subplot(2, 3, 2)
- pl.imshow(I1t)
- pl.axis('off')
- pl.title('Image 1 Adapt')
-
- pl.subplot(2, 3, 3)
- pl.imshow(I1te)
- pl.axis('off')
- pl.title('Image 1 Adapt (reg)')
-
- pl.subplot(2, 3, 4)
- pl.imshow(I2)
- pl.axis('off')
- pl.title('Image 2')
-
- pl.subplot(2, 3, 5)
- pl.imshow(I2t)
- pl.axis('off')
- pl.title('Image 2 Adapt')
-
- pl.subplot(2, 3, 6)
- pl.imshow(I2te)
- pl.axis('off')
- pl.title('Image 2 Adapt (reg)')
- pl.tight_layout()
-
- pl.show()
-
-
-
-.. image:: /auto_examples/images/sphx_glr_plot_otda_color_images_005.png
- :align: center
-
-
-
-
-**Total running time of the script:** ( 3 minutes 55.541 seconds)
-
-
-
-.. only :: html
-
- .. container:: sphx-glr-footer
-
-
- .. container:: sphx-glr-download
-
- :download:`Download Python source code: plot_otda_color_images.py <plot_otda_color_images.py>`
-
-
-
- .. container:: sphx-glr-download
-
- :download:`Download Jupyter notebook: plot_otda_color_images.ipynb <plot_otda_color_images.ipynb>`
-
-
-.. only:: html
-
- .. rst-class:: sphx-glr-signature
-
- `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_