Files
scikit-image/skimage/transform/hough_transform.py
T
Tony S Yu b433e8ecef DOC: Remove plots from docstring examples
Plotting isn't really necessary in a docstring example. Both of these functions already have gallery examples.
2012-09-13 09:28:12 -04:00

138 lines
3.9 KiB
Python

__all__ = ['hough', 'probabilistic_hough']
from itertools import izip as zip
import numpy as np
from ._hough_transform import _probabilistic_hough
def _hough(img, theta=None):
if img.ndim != 2:
raise ValueError('The input image must be 2-D')
if theta is None:
theta = np.linspace(-np.pi / 2, np.pi / 2, 180)
# compute the vertical bins (the distances)
d = np.ceil(np.hypot(*img.shape))
nr_bins = 2 * d
bins = np.linspace(-d, d, nr_bins)
# allocate the output image
out = np.zeros((nr_bins, len(theta)), dtype=np.uint64)
# precompute the sin and cos of the angles
cos_theta = np.cos(theta)
sin_theta = np.sin(theta)
# find the indices of the non-zero values in
# the input image
y, x = np.nonzero(img)
# x and y can be large, so we can't just broadcast to 2D
# arrays as we may run out of memory. Instead we process
# one vertical slice at a time.
for i, (cT, sT) in enumerate(zip(cos_theta, sin_theta)):
# compute the base distances
distances = x * cT + y * sT
# round the distances to the nearest integer
# and shift them to a nonzero bin
shifted = np.round(distances) - bins[0]
# cast the shifted values to ints to use as indices
indices = shifted.astype(np.int)
# use bin count to accumulate the coefficients
bincount = np.bincount(indices)
# finally assign the proper values to the out array
out[:len(bincount), i] = bincount
return out, theta, bins
_py_hough = _hough
# try to import and use the faster Cython version if it exists
try:
from ._hough_transform import _hough
except ImportError:
pass
def probabilistic_hough(img, threshold=10, line_length=50, line_gap=10,
theta=None):
"""Return lines from a progressive probabilistic line Hough transform.
Parameters
----------
img : (M, N) ndarray
Input image with nonzero values representing edges.
threshold : int
Threshold
line_length : int, optional (default 50)
Minimum accepted length of detected lines.
Increase the parameter to extract longer lines.
line_gap : int, optional, (default 10)
Maximum gap between pixels to still form a line.
Increase the parameter to merge broken lines more aggresively.
theta : 1D ndarray, dtype=double, optional, default (-pi/2 .. pi/2)
Angles at which to compute the transform, in radians.
Returns
-------
lines : list
List of lines identified, lines in format ((x0, y0), (x1, y0)), indicating
line start and end.
References
----------
.. [1] C. Galamhos, J. Matas and J. Kittler, "Progressive probabilistic
Hough transform for line detection", in IEEE Computer Society
Conference on Computer Vision and Pattern Recognition, 1999.
"""
return _probabilistic_hough(img, threshold, line_length, line_gap, theta)
def hough(img, theta=None):
"""Perform a straight line Hough transform.
Parameters
----------
img : (M, N) ndarray
Input image with nonzero values representing edges.
theta : 1D ndarray of double
Angles at which to compute the transform, in radians.
Defaults to -pi/2 .. pi/2
Returns
-------
H : 2-D ndarray of uint64
Hough transform accumulator.
distances : ndarray
Distance values.
theta : ndarray
Angles at which the transform was computed.
Examples
--------
Generate a test image:
>>> img = np.zeros((100, 150), dtype=bool)
>>> img[30, :] = 1
>>> img[:, 65] = 1
>>> img[35:45, 35:50] = 1
>>> for i in range(90):
... img[i, i] = 1
>>> img += np.random.random(img.shape) > 0.95
Apply the Hough transform:
>>> out, angles, d = hough(img)
.. plot:: hough_tf.py
"""
return _hough(img, theta)