blobs#

blobs is a simple function to generate a test image. It works by generating random noise, applying a guassian blur, renormalizing the result back to a uniform distribution, then thresholding the result to produce a binary image.

import porespy as ps
import matplotlib.pyplot as plt
import numpy as np
[03:26:34] ERROR    PARDISO solver not installed, run `pip install pypardiso`. Otherwise,          _workspace.py:56
                    simulations will be slow. Apple M chips not supported.                                         

shape#

Both 2D and 3D images can be generated. Sending a scalar (shape=100) will produce a 3D image of size 100^3.

shape = [200, 200]
im = ps.generators.blobs(shape=shape)
fig, ax = plt.subplots(1, 1, figsize=[4, 4])
ax.imshow(im, origin='lower', interpolation='none')
ax.axis(False);
../../../_images/f5b5f000ce55116b9a6bf1f104a9506ee15894413b225806ea8c890fae5ce387.png

porosity#

The fraction of the True to False pores can be set by specifying the porosity. The default is 0.5.

e = 0.75
im = ps.generators.blobs(shape=[500, 500], porosity=e)
fig, ax = plt.subplots(1, 1, figsize=[4, 4])
ax.imshow(im, origin='lower', interpolation='none')
ax.axis(False);
../../../_images/e5276d1a754a59cf013806e96685eea9559b8a3e59923608761f204e92b035bc.png

Specifying porosity=None will return a greyscale image which can then be thresholded to get a boolean image. The greyscale value are adjusted to a unifrom distribution:

im = ps.generators.blobs(shape=[500, 500], porosity=None)
fig, ax = plt.subplots(1, 2, figsize=[8, 4])

ax[0].imshow(im, origin='lower', interpolation='none')
ax[0].axis(False)

ax[1].hist(im.flatten(), edgecolor='k');
../../../_images/453946fb78342c531342596efb85fb88d6eac191aa46c784eb4fa89c661fd01f.png
im = ps.generators.blobs(shape=[500, 500], porosity=None, blobiness=1)
fig, ax = plt.subplots(1, 3, figsize=[12, 4])
ax[0].imshow(im, origin='lower', interpolation='none')
ax[0].axis(False)
ax[1].imshow(im < 0.5, origin='lower', interpolation='none')
ax[1].axis(False)
ax[2].imshow(im < 0.75, origin='lower', interpolation='none')
ax[2].axis(False);
../../../_images/9fd15159ce65a7d1bb39e1951ad24dda2810f1d766a9dd4314d294fa0317a5c6.png

blobiness#

The size and anisotropy of the blobs can be changed:

fig, ax = plt.subplots(1, 2, figsize=[8, 4])

im1 = ps.generators.blobs(shape=shape, porosity=e, blobiness=1)
ax[0].imshow(im1, origin='lower', interpolation='none')
ax[0].axis(False)

im2 = ps.generators.blobs(shape=shape, porosity=e, blobiness=2)
ax[1].imshow(im2, origin='lower', interpolation='none')
ax[1].axis(False);
../../../_images/dfa606c92c617ff50176fe152b6a52c832dc6812fbe8d471cc39ff372834a943.png
fig, ax = plt.subplots(1, 2, figsize=[8, 4])

im1 = ps.generators.blobs(shape=shape, porosity=e, blobiness=[2, 1])
ax[0].imshow(im1, origin='lower', interpolation='none')
ax[0].axis(False)

im2 = ps.generators.blobs(shape=shape, porosity=e, blobiness=[1, 3])
ax[1].imshow(im2, origin='lower', interpolation='none')
ax[1].axis(False);
../../../_images/893e28afab81ba4424e32f4d18375703c3745ac7c30243b95dbd6c0ba039dc3b.png

Reproducing Images#

The random is controlled by numpy’s random number generator so the same image can be produced by setting the seed:

np.random.seed(0)
im1 = ps.generators.blobs(shape=[500, 500], porosity=0.5)
np.random.seed(0)
im2 = ps.generators.blobs(shape=[500, 500], porosity=0.5)
fig, ax = plt.subplots(1, 2, figsize=[8, 4])
ax[0].imshow(im1, origin='lower', interpolation='none')
ax[0].axis(False)
ax[1].imshow(im2, origin='lower', interpolation='none')
ax[1].axis(False);
../../../_images/f0e8f37ec40974802af22d8a85096c17c7cab7eee5402ffa7752c9378dc8bdab.png