This commit is contained in:
Joshua Coles 2023-03-19 14:03:26 +00:00
parent 58cd7415a8
commit 5483e21c43
3 changed files with 182 additions and 222 deletions

99
lib/boxcount.py Normal file
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import numpy as np
import pandas as pd
from PIL import Image
import matplotlib.pyplot as plt
from lib import read_load, read_xy_alt
def boxcount(data, size):
np.sign(blockshaped(data, 2).sum(axis=(1, 2))).sum()
blocked_arrays = blockshaped(data, size)
counter = 0
a = blockshaped(data, 2).sum(axis=(1, 2)).signum()
for i in range(len(blocked_arrays)):
for j in range(len(blocked_arrays[i])):
if (blocked_arrays[i][j].any()):
counter += 1
break
return counter
def blockshaped(data, square_size):
h, w = data.shape
assert h % square_size == 0, f"Array is not evenly divisible {h} {square_size} {h % square_size}"
return (data.reshape(h // square_size, square_size, -1, square_size).swapaxes(1, 2).reshape(-1,
square_size,
square_size))
df = read_xy_alt(
"/Users/joshuacoles/Developer/checkouts/jc3091/CompB DLA/data-analysis/data/alpha/1.csv"
)
max_actual_radius = max(df.x.abs().max(), df.y.abs().max())
max_radius = int(np.exp2(np.floor(np.log2(max_actual_radius)) + 1))
data = np.zeros((max_radius * 2, max_radius * 2))
data[df.x + max_radius, df.y + max_radius] = 1
iterations = int(np.floor(np.log2(max_actual_radius)) + 1)
sizes = 2 ** np.arange(1, iterations)
fb = []
dims = []
for size in sizes:
filled_box = np.sign(blockshaped(data, size).sum(axis=(1, 2))).sum()
fb.append(filled_box)
dims.append(size / np.exp2(iterations))
class ImageFractalDimension:
def __init__(self, image_name, SIZE):
self.SIZE = SIZE
image = Image.open(image_name)
assert image.size[0] == image.size[1] and image.size[
0] == self.SIZE, "Height and Width of the image must be equal."
image = np.asarray(image)
self.img_px_array = np.copy(image)
self.convertImg()
self.fractal_dim = self.calculate_fractal_dim()
def convertImg(self):
for i in range(len(self.img_px_array)):
for j in range(len(self.img_px_array[i])):
for k in range(len(self.img_px_array[i][j])):
if (self.img_px_array[i][j][k] == 255):
self.img_px_array[i][j][k] = 0
else:
self.img_px_array[i][j][k] = 1
def calculate_fractal_dim(self):
self.dimensions = []
self.filled_boxes = []
self.img_px_array = self.img_px_array[:, :, 0]
2 ** np.range(1, self.SIZE)
size = 1
while size != self.SIZE:
size *= 2
filled_box = self.boxcount(size)
self.filled_boxes.append(filled_box)
self.dimensions.append(size / self.SIZE)
return -np.polyfit(np.log(self.dimensions), np.log(self.filled_boxes), 1)[0]
def graph(self):
plt.plot(-np.log(self.dimensions), np.log(self.filled_boxes))
plt.title("Fractal Dimension : " + str(self.fractal_dim))
plt.show()
plt.clf()
ImageFractalDimension("/Users/joshuacoles/Developer/checkouts/jc3091/CompB DLA/data-analysis/figures/dla-eg.png", 1024)

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@ -20,8 +20,20 @@
},
{
"cell_type": "code",
"execution_count": 4,
"outputs": [],
"execution_count": 1,
"outputs": [
{
"ename": "NameError",
"evalue": "name 'read_sp' is not defined",
"output_type": "error",
"traceback": [
"\u001B[0;31m---------------------------------------------------------------------------\u001B[0m",
"\u001B[0;31mNameError\u001B[0m Traceback (most recent call last)",
"Cell \u001B[0;32mIn[1], line 1\u001B[0m\n\u001B[0;32m----> 1\u001B[0m d2_raw \u001B[38;5;241m=\u001B[39m \u001B[43mread_sp\u001B[49m(\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124m../data/rust-sticking-probability\u001B[39m\u001B[38;5;124m\"\u001B[39m, read_xy_alt)\n\u001B[1;32m 2\u001B[0m d2 \u001B[38;5;241m=\u001B[39m aggregate_sp_fd(d2_raw)\n",
"\u001B[0;31mNameError\u001B[0m: name 'read_sp' is not defined"
]
}
],
"source": [
"d2_raw = read_sp(\"../data/rust-sticking-probability\", read_xy_alt)\n",
"d2 = aggregate_sp_fd(d2_raw)"
@ -32,7 +44,7 @@
},
{
"cell_type": "code",
"execution_count": 59,
"execution_count": null,
"outputs": [],
"source": [
"d3_raw = read_sp(\"../data/rust-3d-offaxis-sp\", read_xyz_alt)\n",
@ -74,8 +86,8 @@
"plt.ylabel(\"$fd$\")\n",
"plt.legend()\n",
"\n",
"plt.savefig('../figures/sp-fd-rust-vs-c.svg')\n",
"plt.savefig('../figures/sp-fd-rust-vs-c.png')\n",
"plt.savefig('../figures/sp-fd-2d-3d.svg')\n",
"plt.savefig('../figures/sp-fd-2d-3d.png')\n",
"plt.show()"
],
"metadata": {

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