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# -*- coding: utf-8 -*-
r"""
=======================
Logo of the POT toolbox
=======================
In this example we plot the logo of the POT toolbox.
This logo is that it is done 100% in Python and generated using
matplotlib and plotting the solution of the EMD solver from POT.
"""
# Author: Remi Flamary <remi.flamary@polytechnique.edu>
#
# License: MIT License
# sphinx_gallery_thumbnail_number = 1
# %% Load modules
import numpy as np
import matplotlib.pyplot as pl
import ot
# %%
# Data for logo
# -------------
# Letter P
p1 = np.array(
[
[0, 6.0],
[0, 5],
[0, 4],
[0, 3],
[0, 2],
[0, 1],
]
)
p2 = np.array(
[
[1.5, 6],
[2, 4],
[2, 5],
[1.5, 3],
[0.5, 2],
[0.5, 1],
]
)
# Letter O
o1 = np.array(
[
[0, 6.0],
[-1, 5],
[-1.5, 4],
[-1.5, 3],
[-1, 2],
[0, 1],
]
)
o2 = np.array(
[
[1, 6.0],
[2, 5],
[2.5, 4],
[2.5, 3],
[2, 2],
[1, 1],
]
)
# Scaling and translation for letter O
o1[:, 0] += 6.4
o2[:, 0] += 6.4
o1[:, 0] *= 0.6
o2[:, 0] *= 0.6
# Letter T
t1 = np.array(
[
[-1, 6.0],
[-1, 5],
[0, 4],
[0, 3],
[0, 2],
[0, 1],
]
)
t2 = np.array(
[
[1.5, 6.0],
[1.5, 5],
[0.5, 4],
[0.5, 3],
[0.5, 2],
[0.5, 1],
]
)
# Translating the T
t1[:, 0] += 7.1
t2[:, 0] += 7.1
# Concatenate all letters
x1 = np.concatenate((p1, o1, t1), axis=0)
x2 = np.concatenate((p2, o2, t2), axis=0)
# Horizontal and vertical scaling
sx = 1.0
sy = 0.5
x1[:, 0] *= sx
x1[:, 1] *= sy
x2[:, 0] *= sx
x2[:, 1] *= sy
# %%
# Plot the logo (clear background)
# --------------------------------
# Solve OT problem between the points
M = ot.dist(x1, x2, metric="euclidean")
T = ot.emd([], [], M)
pl.figure(1, (3.5, 1.1))
pl.clf()
# plot the OT plan
for i in range(M.shape[0]):
for j in range(M.shape[1]):
if T[i, j] > 1e-8:
pl.plot(
[x1[i, 0], x2[j, 0]],
[x1[i, 1], x2[j, 1]],
color="k",
alpha=0.6,
linewidth=3,
zorder=1,
)
# plot the samples
pl.plot(x1[:, 0], x1[:, 1], "o", markerfacecolor="C3", markeredgecolor="k")
pl.plot(x2[:, 0], x2[:, 1], "o", markerfacecolor="b", markeredgecolor="k")
pl.axis("equal")
pl.axis("off")
# Save logo file
# pl.savefig('logo.svg', dpi=150, transparent=True, bbox_inches='tight')
# pl.savefig('logo.png', dpi=150, transparent=True, bbox_inches='tight')
# %%
# Plot the logo (dark background)
# --------------------------------
pl.figure(2, (3.5, 1.1), facecolor="darkgray")
pl.clf()
# plot the OT plan
for i in range(M.shape[0]):
for j in range(M.shape[1]):
if T[i, j] > 1e-8:
pl.plot(
[x1[i, 0], x2[j, 0]],
[x1[i, 1], x2[j, 1]],
color="w",
alpha=0.8,
linewidth=3,
zorder=1,
)
# plot the samples
pl.plot(x1[:, 0], x1[:, 1], "o", markerfacecolor="w", markeredgecolor="w")
pl.plot(x2[:, 0], x2[:, 1], "o", markerfacecolor="w", markeredgecolor="w")
pl.axis("equal")
pl.axis("off")
# Save logo file
# pl.savefig('logo_dark.svg', dpi=150, transparent=True, bbox_inches='tight')
# pl.savefig('logo_dark.png', dpi=150, transparent=True, bbox_inches='tight')
|
