random_cantor_dust#

This generates a fractal image by iteratively and randomaly removing segments at successively large scales.

import porespy as ps
import matplotlib.pyplot as plt
import numpy as np

shape#

The shape of the image can either be 2D or 3D:

fig, ax = plt.subplots(1, 1, figsize=[6, 6])

im = ps.generators.random_cantor_dust(shape=[500, 500], n=8)
ax.imshow(im, interpolation="none")
ax.axis(False);

[13:32:00] WARNING  Requested shape being changed to [512 512]                                      _fractals.py:63

n#

The number of scales to bisect the image, with higher numbers leading to large features. The algorithm starts by dividing a p x p region and randomly setting some quadrants to False. It proceeds by increasing the region size and repeating. n controls the number of iterations at larger scales.

fig, ax = plt.subplots(1, 2, figsize=[12, 6])

n = 4
im = ps.generators.random_cantor_dust(shape=[500, 500], n=n)
ax[0].imshow(im, interpolation="none")
ax[0].axis(False)
ax[0].set_title(f"n = {n}")

n = 8
im = ps.generators.random_cantor_dust(shape=[500, 500], n=n)
ax[1].imshow(im, interpolation="none")
ax[1].axis(False)
ax[1].set_title(f"n = {n}");

           WARNING  Requested shape being changed to [512 512]                                      _fractals.py:63

           WARNING  Requested shape being changed to [512 512]                                      _fractals.py:63

f#

The probability that a quadrant survives the process (i.e. set to True)

fig, ax = plt.subplots(1, 2, figsize=[12, 6])

f = 0.7
im = ps.generators.random_cantor_dust(shape=[500, 500], n=n, f=f)
ax[0].imshow(im, interpolation="none")
ax[0].axis(False)
ax[0].set_title(f"f = {f}")

f = 0.9
im = ps.generators.random_cantor_dust(shape=[500, 500], n=n, f=f)
ax[1].imshow(im, interpolation="none")
ax[1].axis(False)
ax[1].set_title(f"f = {f}");

[13:32:01] WARNING  Requested shape being changed to [512 512]                                      _fractals.py:63

           WARNING  Requested shape being changed to [512 512]                                      _fractals.py:63

p#

The size of the initial region, which is scaled by a factor of p on each step

fig, ax = plt.subplots(1, 2, figsize=[12, 6])

p = 2
im = ps.generators.random_cantor_dust(shape=[500, 500], n=8, p=p)
ax[0].imshow(im, interpolation="none")
ax[0].axis(False)
ax[0].set_title(f"p = {p}")

p = 3
im = ps.generators.random_cantor_dust(shape=[500, 500], n=8, p=p)
ax[1].imshow(im, interpolation="none")
ax[1].axis(False)
ax[1].set_title(f"p = {p}");

           WARNING  Requested shape being changed to [512 512]                                      _fractals.py:63

           WARNING  Requested shape being changed to [6561 6561]                                    _fractals.py:63
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