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github-actions[bot] committed Dec 5, 2024
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from mpl_toolkits.mplot3d import Axes3D

from skimage.morphology import (
square,
rectangle,
footprint_rectangle,
diamond,
disk,
cube,
octahedron,
ball,
octagon,
Expand All @@ -26,15 +24,19 @@

# Generate 2D and 3D structuring elements.
struc_2d = {
"square(15)": square(15),
"rectangle(15, 10)": rectangle(15, 10),
"square 15x15": footprint_rectangle((15, 15)),
"rectangle 15x10": footprint_rectangle((15, 10)),
"diamond(7)": diamond(7),
"disk(7)": disk(7),
"octagon(7, 4)": octagon(7, 4),
"star(5)": star(5),
}

struc_3d = {"cube(11)": cube(11), "octahedron(5)": octahedron(5), "ball(5)": ball(5)}
struc_3d = {
"cube 11x11x11": footprint_rectangle((11, 11, 11)),
"octahedron(5)": octahedron(5),
"ball(5)": ball(5),
}

# Visualize the elements.
fig = plt.figure(figsize=(8, 8))
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},
"outputs": [],
"source": [
"import numpy as np\nimport matplotlib.pyplot as plt\nfrom matplotlib import colors\nfrom mpl_toolkits.mplot3d import Axes3D\n\nfrom skimage.morphology import (\n ball,\n cube,\n diamond,\n disk,\n ellipse,\n octagon,\n octahedron,\n rectangle,\n square,\n)\nfrom skimage.morphology.footprints import footprint_from_sequence\n\n\n# Generate 2D and 3D structuring elements.\nfootprint_dict = {\n \"square(11) (separable)\": (\n square(11, decomposition=None),\n square(11, decomposition=\"separable\"),\n ),\n \"square(11) (sequence)\": (\n square(11, decomposition=None),\n square(11, decomposition=\"sequence\"),\n ),\n \"rectangle(7, 11) (separable)\": (\n rectangle(7, 11, decomposition=None),\n rectangle(7, 11, decomposition=\"separable\"),\n ),\n \"rectangle(7, 11) (sequence)\": (\n rectangle(7, 11, decomposition=None),\n rectangle(7, 11, decomposition=\"sequence\"),\n ),\n \"diamond(5) (sequence)\": (\n diamond(5, decomposition=None),\n diamond(5, decomposition=\"sequence\"),\n ),\n \"disk(7, strict_radius=False) (sequence)\": (\n disk(7, strict_radius=False, decomposition=None),\n disk(7, strict_radius=False, decomposition=\"sequence\"),\n ),\n \"disk(7, strict_radius=True) (crosses)\": (\n disk(7, strict_radius=True, decomposition=None),\n disk(7, strict_radius=True, decomposition=\"crosses\"),\n ),\n \"ellipse(4, 9) (crosses)\": (\n ellipse(4, 9, decomposition=None),\n ellipse(4, 9, decomposition=\"crosses\"),\n ),\n \"disk(20) (sequence)\": (\n disk(20, strict_radius=False, decomposition=None),\n disk(20, strict_radius=False, decomposition=\"sequence\"),\n ),\n \"octagon(7, 4) (sequence)\": (\n octagon(7, 4, decomposition=None),\n octagon(7, 4, decomposition=\"sequence\"),\n ),\n \"cube(11) (separable)\": (\n cube(11, decomposition=None),\n cube(11, decomposition=\"separable\"),\n ),\n \"cube(11) (sequence)\": (\n cube(11, decomposition=None),\n cube(11, decomposition=\"sequence\"),\n ),\n \"octahedron(7) (sequence)\": (\n octahedron(7, decomposition=None),\n octahedron(7, decomposition=\"sequence\"),\n ),\n \"ball(9) (sequence)\": (\n ball(9, strict_radius=False, decomposition=None),\n ball(9, strict_radius=False, decomposition=\"sequence\"),\n ),\n}\n\n# Visualize the elements\n\n# binary white / blue colormap\ncmap = colors.ListedColormap(['white', (0.1216, 0.4706, 0.70588)])\n\nfontdict = dict(fontsize=16, fontweight='bold')\nfor title, (footprint, footprint_sequence) in footprint_dict.items():\n ndim = footprint.ndim\n num_seq = len(footprint_sequence)\n approximate_decomposition = 'ball' in title or 'disk' in title or 'ellipse' in title\n if approximate_decomposition:\n # Two extra plot in approximate cases to show both:\n # 1.) decomposition=None idea footprint\n # 2.) actual composite footprint corresponding to the sequence\n num_subplots = num_seq + 2\n else:\n # composite and decomposition=None are identical so only 1 extra plot\n num_subplots = num_seq + 1\n fig = plt.figure(figsize=(4 * num_subplots, 5))\n if ndim == 2:\n ax = fig.add_subplot(1, num_subplots, num_subplots)\n ax.imshow(footprint, cmap=cmap, vmin=0, vmax=1)\n if approximate_decomposition:\n ax2 = fig.add_subplot(1, num_subplots, num_subplots - 1)\n footprint_composite = footprint_from_sequence(footprint_sequence)\n ax2.imshow(footprint_composite, cmap=cmap, vmin=0, vmax=1)\n\n else:\n ax = fig.add_subplot(1, num_subplots, num_subplots, projection=Axes3D.name)\n ax.voxels(footprint, cmap=cmap)\n if approximate_decomposition:\n ax2 = fig.add_subplot(\n 1, num_subplots, num_subplots - 1, projection=Axes3D.name\n )\n footprint_composite = footprint_from_sequence(footprint_sequence)\n ax2.voxels(footprint_composite, cmap=cmap)\n\n title1 = title.split(' (')[0]\n if approximate_decomposition:\n # plot decomposition=None on a separate axis from the composite\n title = title1 + '\\n(decomposition=None)'\n else:\n # for exact cases composite and decomposition=None are identical\n title = title1 + '\\n(composite)'\n ax.set_title(title, fontdict=fontdict)\n ax.set_axis_off()\n if approximate_decomposition:\n ax2.set_title(title1 + '\\n(composite)', fontdict=fontdict)\n ax2.set_axis_off()\n\n for n, (fp, num_reps) in enumerate(footprint_sequence):\n npad = [((footprint.shape[d] - fp.shape[d]) // 2,) * 2 for d in range(ndim)]\n fp = np.pad(fp, npad, mode='constant')\n if ndim == 2:\n ax = fig.add_subplot(1, num_subplots, n + 1)\n ax.imshow(fp, cmap=cmap, vmin=0, vmax=1)\n else:\n ax = fig.add_subplot(1, num_subplots, n + 1, projection=Axes3D.name)\n ax.voxels(fp, cmap=cmap)\n title = f\"element {n + 1} of {num_seq}\\n({num_reps} iteration\"\n title += \"s)\" if num_reps > 1 else \")\"\n ax.set_title(title, fontdict=fontdict)\n ax.set_axis_off()\n ax.set_xlabel(f'num_reps = {num_reps}')\n fig.tight_layout()\n\n # draw a line separating the sequence elements from the composite\n line_pos = num_seq / num_subplots\n line = plt.Line2D([line_pos, line_pos], [0, 1], color=\"black\")\n fig.add_artist(line)\n\nplt.show()"
"import numpy as np\nimport matplotlib.pyplot as plt\nfrom matplotlib import colors\nfrom mpl_toolkits.mplot3d import Axes3D\n\nfrom skimage.morphology import (\n ball,\n diamond,\n disk,\n ellipse,\n octagon,\n octahedron,\n footprint_rectangle,\n)\nfrom skimage.morphology.footprints import footprint_from_sequence\n\n\n# Generate 2D and 3D structuring elements.\nfootprint_dict = {\n \"square 11x11 (separable)\": (\n footprint_rectangle((11, 11), decomposition=None),\n footprint_rectangle((11, 11), decomposition=\"separable\"),\n ),\n \"square 11x11 (sequence)\": (\n footprint_rectangle((11, 11), decomposition=None),\n footprint_rectangle((11, 11), decomposition=\"sequence\"),\n ),\n \"rectangle 7x11 (separable)\": (\n footprint_rectangle((7, 11), decomposition=None),\n footprint_rectangle((7, 11), decomposition=\"separable\"),\n ),\n \"rectangle 7x11 (sequence)\": (\n footprint_rectangle((7, 11), decomposition=None),\n footprint_rectangle((7, 11), decomposition=\"sequence\"),\n ),\n \"diamond(5) (sequence)\": (\n diamond(5, decomposition=None),\n diamond(5, decomposition=\"sequence\"),\n ),\n \"disk(7, strict_radius=False) (sequence)\": (\n disk(7, strict_radius=False, decomposition=None),\n disk(7, strict_radius=False, decomposition=\"sequence\"),\n ),\n \"disk(7, strict_radius=True) (crosses)\": (\n disk(7, strict_radius=True, decomposition=None),\n disk(7, strict_radius=True, decomposition=\"crosses\"),\n ),\n \"ellipse(4, 9) (crosses)\": (\n ellipse(4, 9, decomposition=None),\n ellipse(4, 9, decomposition=\"crosses\"),\n ),\n \"disk(20) (sequence)\": (\n disk(20, strict_radius=False, decomposition=None),\n disk(20, strict_radius=False, decomposition=\"sequence\"),\n ),\n \"octagon(7, 4) (sequence)\": (\n octagon(7, 4, decomposition=None),\n octagon(7, 4, decomposition=\"sequence\"),\n ),\n \"cube 11x11x11 (separable)\": (\n footprint_rectangle((11, 11, 11), decomposition=None),\n footprint_rectangle((11, 11, 11), decomposition=\"separable\"),\n ),\n \"cube 11x11x11 (sequence)\": (\n footprint_rectangle((11, 11, 11), decomposition=None),\n footprint_rectangle((11, 11, 11), decomposition=\"sequence\"),\n ),\n \"octahedron(7) (sequence)\": (\n octahedron(7, decomposition=None),\n octahedron(7, decomposition=\"sequence\"),\n ),\n \"ball(9) (sequence)\": (\n ball(9, strict_radius=False, decomposition=None),\n ball(9, strict_radius=False, decomposition=\"sequence\"),\n ),\n}\n\n# Visualize the elements\n\n# binary white / blue colormap\ncmap = colors.ListedColormap(['white', (0.1216, 0.4706, 0.70588)])\n\nfontdict = dict(fontsize=16, fontweight='bold')\nfor title, (footprint, footprint_sequence) in footprint_dict.items():\n ndim = footprint.ndim\n num_seq = len(footprint_sequence)\n approximate_decomposition = 'ball' in title or 'disk' in title or 'ellipse' in title\n if approximate_decomposition:\n # Two extra plot in approximate cases to show both:\n # 1.) decomposition=None idea footprint\n # 2.) actual composite footprint corresponding to the sequence\n num_subplots = num_seq + 2\n else:\n # composite and decomposition=None are identical so only 1 extra plot\n num_subplots = num_seq + 1\n fig = plt.figure(figsize=(4 * num_subplots, 5))\n if ndim == 2:\n ax = fig.add_subplot(1, num_subplots, num_subplots)\n ax.imshow(footprint, cmap=cmap, vmin=0, vmax=1)\n if approximate_decomposition:\n ax2 = fig.add_subplot(1, num_subplots, num_subplots - 1)\n footprint_composite = footprint_from_sequence(footprint_sequence)\n ax2.imshow(footprint_composite, cmap=cmap, vmin=0, vmax=1)\n\n else:\n ax = fig.add_subplot(1, num_subplots, num_subplots, projection=Axes3D.name)\n ax.voxels(footprint, cmap=cmap)\n if approximate_decomposition:\n ax2 = fig.add_subplot(\n 1, num_subplots, num_subplots - 1, projection=Axes3D.name\n )\n footprint_composite = footprint_from_sequence(footprint_sequence)\n ax2.voxels(footprint_composite, cmap=cmap)\n\n title1 = title.split(' (')[0]\n if approximate_decomposition:\n # plot decomposition=None on a separate axis from the composite\n title = title1 + '\\n(decomposition=None)'\n else:\n # for exact cases composite and decomposition=None are identical\n title = title1 + '\\n(composite)'\n ax.set_title(title, fontdict=fontdict)\n ax.set_axis_off()\n if approximate_decomposition:\n ax2.set_title(title1 + '\\n(composite)', fontdict=fontdict)\n ax2.set_axis_off()\n\n for n, (fp, num_reps) in enumerate(footprint_sequence):\n npad = [((footprint.shape[d] - fp.shape[d]) // 2,) * 2 for d in range(ndim)]\n fp = np.pad(fp, npad, mode='constant')\n if ndim == 2:\n ax = fig.add_subplot(1, num_subplots, n + 1)\n ax.imshow(fp, cmap=cmap, vmin=0, vmax=1)\n else:\n ax = fig.add_subplot(1, num_subplots, n + 1, projection=Axes3D.name)\n ax.voxels(fp, cmap=cmap)\n title = f\"element {n + 1} of {num_seq}\\n({num_reps} iteration\"\n title += \"s)\" if num_reps > 1 else \")\"\n ax.set_title(title, fontdict=fontdict)\n ax.set_axis_off()\n ax.set_xlabel(f'num_reps = {num_reps}')\n fig.tight_layout()\n\n # draw a line separating the sequence elements from the composite\n line_pos = num_seq / num_subplots\n line = plt.Line2D([line_pos, line_pos], [0, 1], color=\"black\")\n fig.add_artist(line)\n\nplt.show()"
]
}
],
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},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\nfrom mpl_toolkits.mplot3d import Axes3D\n\nfrom skimage.morphology import (\n square,\n rectangle,\n diamond,\n disk,\n cube,\n octahedron,\n ball,\n octagon,\n star,\n)\n\n# Generate 2D and 3D structuring elements.\nstruc_2d = {\n \"square(15)\": square(15),\n \"rectangle(15, 10)\": rectangle(15, 10),\n \"diamond(7)\": diamond(7),\n \"disk(7)\": disk(7),\n \"octagon(7, 4)\": octagon(7, 4),\n \"star(5)\": star(5),\n}\n\nstruc_3d = {\"cube(11)\": cube(11), \"octahedron(5)\": octahedron(5), \"ball(5)\": ball(5)}\n\n# Visualize the elements.\nfig = plt.figure(figsize=(8, 8))\n\nidx = 1\nfor title, struc in struc_2d.items():\n ax = fig.add_subplot(3, 3, idx)\n ax.imshow(struc, cmap=\"Paired\", vmin=0, vmax=12)\n for i in range(struc.shape[0]):\n for j in range(struc.shape[1]):\n ax.text(j, i, struc[i, j], ha=\"center\", va=\"center\", color=\"w\")\n ax.set_axis_off()\n ax.set_title(title)\n idx += 1\n\nfor title, struc in struc_3d.items():\n ax = fig.add_subplot(3, 3, idx, projection=Axes3D.name)\n ax.voxels(struc)\n ax.set_title(title)\n idx += 1\n\nfig.tight_layout()\nplt.show()"
"import matplotlib.pyplot as plt\nfrom mpl_toolkits.mplot3d import Axes3D\n\nfrom skimage.morphology import (\n footprint_rectangle,\n diamond,\n disk,\n octahedron,\n ball,\n octagon,\n star,\n)\n\n# Generate 2D and 3D structuring elements.\nstruc_2d = {\n \"square 15x15\": footprint_rectangle((15, 15)),\n \"rectangle 15x10\": footprint_rectangle((15, 10)),\n \"diamond(7)\": diamond(7),\n \"disk(7)\": disk(7),\n \"octagon(7, 4)\": octagon(7, 4),\n \"star(5)\": star(5),\n}\n\nstruc_3d = {\n \"cube 11x11x11\": footprint_rectangle((11, 11, 11)),\n \"octahedron(5)\": octahedron(5),\n \"ball(5)\": ball(5),\n}\n\n# Visualize the elements.\nfig = plt.figure(figsize=(8, 8))\n\nidx = 1\nfor title, struc in struc_2d.items():\n ax = fig.add_subplot(3, 3, idx)\n ax.imshow(struc, cmap=\"Paired\", vmin=0, vmax=12)\n for i in range(struc.shape[0]):\n for j in range(struc.shape[1]):\n ax.text(j, i, struc[i, j], ha=\"center\", va=\"center\", color=\"w\")\n ax.set_axis_off()\n ax.set_title(title)\n idx += 1\n\nfor title, struc in struc_3d.items():\n ax = fig.add_subplot(3, 3, idx, projection=Axes3D.name)\n ax.voxels(struc)\n ax.set_title(title)\n idx += 1\n\nfig.tight_layout()\nplt.show()"
]
}
],
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from skimage.filters import threshold_otsu
from skimage.segmentation import clear_border
from skimage.measure import label, regionprops
from skimage.morphology import closing, square
from skimage.morphology import closing, footprint_rectangle
from skimage.color import label2rgb


image = data.coins()[50:-50, 50:-50]

# apply threshold
thresh = threshold_otsu(image)
bw = closing(image > thresh, square(3))
bw = closing(image > thresh, footprint_rectangle((3, 3)))

# remove artifacts connected to image border
cleared = clear_border(bw)
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from skimage.morphology import (
ball,
cube,
diamond,
disk,
ellipse,
octagon,
octahedron,
rectangle,
square,
footprint_rectangle,
)
from skimage.morphology.footprints import footprint_from_sequence


# Generate 2D and 3D structuring elements.
footprint_dict = {
"square(11) (separable)": (
square(11, decomposition=None),
square(11, decomposition="separable"),
"square 11x11 (separable)": (
footprint_rectangle((11, 11), decomposition=None),
footprint_rectangle((11, 11), decomposition="separable"),
),
"square(11) (sequence)": (
square(11, decomposition=None),
square(11, decomposition="sequence"),
"square 11x11 (sequence)": (
footprint_rectangle((11, 11), decomposition=None),
footprint_rectangle((11, 11), decomposition="sequence"),
),
"rectangle(7, 11) (separable)": (
rectangle(7, 11, decomposition=None),
rectangle(7, 11, decomposition="separable"),
"rectangle 7x11 (separable)": (
footprint_rectangle((7, 11), decomposition=None),
footprint_rectangle((7, 11), decomposition="separable"),
),
"rectangle(7, 11) (sequence)": (
rectangle(7, 11, decomposition=None),
rectangle(7, 11, decomposition="sequence"),
"rectangle 7x11 (sequence)": (
footprint_rectangle((7, 11), decomposition=None),
footprint_rectangle((7, 11), decomposition="sequence"),
),
"diamond(5) (sequence)": (
diamond(5, decomposition=None),
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octagon(7, 4, decomposition=None),
octagon(7, 4, decomposition="sequence"),
),
"cube(11) (separable)": (
cube(11, decomposition=None),
cube(11, decomposition="separable"),
"cube 11x11x11 (separable)": (
footprint_rectangle((11, 11, 11), decomposition=None),
footprint_rectangle((11, 11, 11), decomposition="separable"),
),
"cube(11) (sequence)": (
cube(11, decomposition=None),
cube(11, decomposition="sequence"),
"cube 11x11x11 (sequence)": (
footprint_rectangle((11, 11, 11), decomposition=None),
footprint_rectangle((11, 11, 11), decomposition="sequence"),
),
"octahedron(7) (sequence)": (
octahedron(7, decomposition=None),
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