Files
scikit-image/skimage/filter/thresholding.py
T
Tony S Yu 87c2353845 Change API for equalize_hist and cumulative_distribution.
`equalize_hist`: "max_intensity" parameter no longer exists---img_as_float normalizes intensity range

`cumulative_distribution`: Return centers of bins instead of the edges.

Move `histogram` function from filter subpackage.

Add test of equalize_hist

Add example of histogram equalization.
2011-12-22 10:16:32 -08:00

55 lines
1.4 KiB
Python

import numpy as np
from skimage.exposure import histogram
__all__ = ['threshold_otsu']
def threshold_otsu(image, nbins=256):
"""Return threshold value based on Otsu's method.
Parameters
----------
image : array
Input image.
nbins : int
Number of bins used to calculate histogram. This value is ignored for
integer arrays.
Returns
-------
threshold : float
Threshold value.
References
----------
.. [1] Wikipedia, http://en.wikipedia.org/wiki/Otsu's_Method
Examples
--------
>>> from skimage.data import camera
>>> image = camera()
>>> thresh = threshold_otsu(image)
>>> binary = image > thresh
"""
hist, bin_centers = histogram(image, nbins)
hist = hist.astype(float)
# class probabilities for all possible thresholds
weight1 = np.cumsum(hist)
weight2 = np.cumsum(hist[::-1])[::-1]
# class means for all possible thresholds
mean1 = np.cumsum(hist * bin_centers) / weight1
mean2 = (np.cumsum((hist * bin_centers)[::-1]) / weight2[::-1])[::-1]
# Clip ends to align class 1 and class 2 variables:
# The last value of `weight1`/`mean1` should pair with zero values in
# `weight2`/`mean2`, which do not exist.
variance12 = weight1[:-1] * weight2[1:] * (mean1[:-1] - mean2[1:])**2
idx = np.argmax(variance12)
threshold = bin_centers[:-1][idx]
return threshold