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first release
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matthiasnwt authored Apr 8, 2022
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21 changes: 21 additions & 0 deletions LICENSE
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MIT License

Copyright (c) 2022 Matthias Nwt

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
3 changes: 3 additions & 0 deletions README.md
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# Feret

Python module to calculate Feret maximum and minimum diameter.
227 changes: 227 additions & 0 deletions feret/FeretDiameter.py
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import numpy as np
import matplotlib.pyplot as plt
from scipy import ndimage
import time, scipy.optimize



class FeretDiameter():

def __init__(self, img, **kwargs):

self.img = img

if 'precision' in kwargs:
self.precesion = kwargs['precision']
else:
self.precesion = 1

if 'edge' in kwargs:
self.edge = kwargs['edge']
else:
self.edge = False


self.degs = np.deg2rad(np.arange(0, 180+self.precesion, self.precesion))
self.ferets = np.zeros(len(self.degs))
self.ms = np.zeros(len(self.degs))
self.t_maxs = np.zeros(len(self.degs))
self.t_mins = np.zeros(len(self.degs))
self.p_maxs = np.zeros((len(self.degs), 2))
self.p_mins = np.zeros((len(self.degs), 2))

# start = time.perf_counter()
self.find_points()
# print('points', time.perf_counter() - start)
self.calculate_center()
self.calculate_ferets()
# self.calculate_distance_matrix()

self.minimize_feret()



def find_points(self):
"""
Method find the points which are used to calcualte feret diameter
"""

if self.edge:
ys, xs = np.nonzero(self.img)
new_xs = np.concatenate((xs + 0.5, xs + 0.5, xs - 0.5, xs - 0.5, xs, xs + 0.5, xs - 0.5, xs, xs))
new_ys = np.concatenate((ys + 0.5, ys - 0.5, ys + 0.5, ys - 0.5, ys, ys, ys, ys + 0.5, ys - 0.5))

new_ys, new_xs = (new_ys * 2).astype(int), (new_xs * 2).astype(int)
new_points = np.array([new_ys, new_xs])

self.contour = np.zeros((self.img.shape[0] * 2, self.img.shape[1] * 2))
self.contour[tuple(new_points)] = 1

edm = ndimage.morphology.distance_transform_edt(self.contour)
self.contour[edm > 1] = 0
self.points = np.array(np.nonzero(self.contour))
else:
self.contour = np.copy(self.img)
edm = ndimage.morphology.distance_transform_edt(self.contour)
self.contour[edm > 1] = 0
self.points = np.array(np.nonzero(self.contour))



def calculate_center(self):
"""
Method caluclates the center of the binary image.
"""
(self.y0, self.x0) = ndimage.measurements.center_of_mass(self.contour)


def calculate_distances(self, angle):
"""
Method calculates the distance of two points at a givin angle.
"""
m = np.tan(angle)
ds = np.cos(angle)*(self.y0-self.points[0])-np.sin(angle)*(self.x0-self.points[1])
max_i = np.argmax(ds)
min_i = np.argmin(ds)

t_max = self.points.T[max_i][0] - m * self.points.T[max_i][1]
t_min = self.points.T[min_i][0] - m * self.points.T[min_i][1]

feret = np.abs(t_max - t_min) / np.sqrt(1+m**2)

return feret, m, t_max, t_min, self.points.T[max_i], self.points.T[min_i]


def calculate_distances_func(self, angle, sign):
"""
Method calculates the distance of two points at a givin angle.
"""
m = np.tan(angle)
ds = np.cos(angle)*(self.y0-self.points[0])-np.sin(angle)*(self.x0-self.points[1])
max_i = np.argmax(ds)
min_i = np.argmin(ds)

t_max = self.points.T[max_i][0] - m * self.points.T[max_i][1]
t_min = self.points.T[min_i][0] - m * self.points.T[min_i][1]

feret = np.abs(t_max - t_min) / np.sqrt(1+m**2)

return sign * feret


def minimize_feret(self):


res_minferet = scipy.optimize.minimize(
self.calculate_distances_func,
x0=self.minferet_angle,
args=(1, ),
bounds=((0., np.pi),))

res_maxferet = scipy.optimize.minimize(
self.calculate_distances_func,
x0=self.maxferet_angle,
args=(-1, ),
bounds=((0., np.pi),))

self.maxferet = -res_maxferet.fun
self.minferet = res_minferet.fun


# plt.scatter(self.degs, self.ferets)
# plt.axvline(self.minferet_angle, color='black')
# plt.axvline(res.x, color='red')
# plt.axhline(self.minferet, color='black')
# plt.axhline(res.fun, color='red')

# plt.show()


def calculate_ferets(self):


for i, angle in enumerate(self.degs):
feret, m, t_max, t_min, p_max, p_min = self.calculate_distances(angle)

self.ferets[i] = feret
self.ms[i] = m
self.t_maxs[i] = t_max
self.t_mins[i] = t_min
self.p_maxs[i] = p_max
self.p_mins[i] = p_min


self.maxferet_initial = np.max(self.ferets)
self.minferet_initial = np.min(self.ferets)

self.minferet_index = np.where(self.ferets == self.minferet_initial)
self.maxferet_index = np.where(self.ferets == self.maxferet_initial)

self.minferet_angle = self.degs[self.minferet_index]
self.maxferet_angle = self.degs[self.maxferet_index]




def calculate_distance_matrix(self):

degs = np.deg2rad(np.arange(0, 180, self.precesion))
ms = np.tan(degs)


coss = np.cos(degs).reshape(1, -1)
sins = np.sin(degs).reshape(1, -1)

ps0 = (self.y0-self.points[0]).reshape(-1, 1)
ps1 = (self.x0-self.points[1]).reshape(-1, 1)

ds = np.multiply(coss, ps0) - np.multiply(sins, ps1)

max_is = np.argmax(ds, axis=0)
min_is = np.argmin(ds, axis=0)

t_maxs = self.points[0][max_is] - ms * self.points[1][max_is]
t_mins = self.points[0][min_is] - ms * self.points[1][min_is]

ferets = np.abs(t_maxs - t_mins) / np.sqrt(1+ms**2)

self.ferets = ferets

self.maxferet_initial = np.max(self.ferets)
self.minferet_initial = np.min(self.ferets)

self.minferet_index = np.where(self.ferets == self.minferet_initial)
self.maxferet_index = np.where(self.ferets == self.maxferet_initial)

self.minferet_angle = self.degs[self.minferet_index]
self.maxferet_angle = self.degs[self.maxferet_index]




def __call__(self):
if self.edge:
return self.maxferet / 2, self.minferet / 2
else:
return self.maxferet, self.minferet


def plot(self, distance=False):
plt.imshow(self.contour)
xs = np.linspace(0, self.contour.shape[1])
for m, t_max, t_min, p_max, p_min in zip(self.ms, self.t_maxs, self.t_mins, self.p_maxs, self.p_mins):
ys = xs * m + t_max
plt.plot(xs, ys, color='gray')

ys = xs * m + t_min
plt.plot(xs, ys)

# plt.plot((p_max[1], p_min[1]), (p_max[0], p_min[0]))

plt.scatter(self.x0, self.y0)
plt.ylim(0, self.contour.shape[0])
plt.show()
7 changes: 7 additions & 0 deletions feret/__init__.py
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from feret.FeretDiameter import FeretDiameter

def calculate(img, **kwargs):

feret = FeretDiameter(img, **kwargs)
# feret.plot()
return feret()
32 changes: 32 additions & 0 deletions setup.py
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from setuptools import setup, find_packages

import pathlib

here = pathlib.Path(__file__).parent.resolve()
# The text of the README file
long_description = (here / "README.md").read_text(encoding="utf-8")

# This call to setup() does all the work
setup(
name="feret",
version="0.1.0",
description="Calculates the maximum and minimum feret diameter",
long_description=long_description,
long_description_content_type="text/markdown",
url="https://github.com/matthiasnwt/feret",
author="Matthias Nwt",
license="MIT",
keywords="feret, feretdiameter, maxferet, minferet",
classifiers=[
"License :: OSI Approved :: MIT License",
"Programming Language :: Python :: 3",
"Programming Language :: Python :: 3.9",
],
packages=find_packages(),
include_package_data=True,
install_requires=["numpy", "scipy", "matplotlib"],
project_urls={
"Bug Reports": "https://github.com/matthiasnwt/feret/issues",
"Source": "https://github.com/matthiasnwt/feret/",
},
)

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