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scikit-image/skimage/exposure/exposure.py
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2013-11-09 23:13:43 +01:00

356 lines
10 KiB
Python

import warnings
import numpy as np
from skimage import img_as_float
from skimage.util.dtype import dtype_range, dtype_limits
from skimage._shared.utils import deprecated
__all__ = ['histogram', 'cumulative_distribution', 'equalize',
'rescale_intensity', 'adjust_gamma',
'adjust_log', 'adjust_sigmoid']
def histogram(image, nbins=256):
"""Return histogram of image.
Unlike `numpy.histogram`, this function returns the centers of bins and
does not rebin integer arrays. For integer arrays, each integer value has
its own bin, which improves speed and intensity-resolution.
The histogram is computed on the flattened image: for color images, the
function should be used separately on each channel to obtain a histogram
for each color channel.
Parameters
----------
image : array
Input image.
nbins : int
Number of bins used to calculate histogram. This value is ignored for
integer arrays.
Returns
-------
hist : array
The values of the histogram.
bin_centers : array
The values at the center of the bins.
Examples
--------
>>> from skimage import data, exposure, util
>>> image = util.img_as_float(data.camera())
>>> np.histogram(image, bins=2)
(array([107432, 154712]), array([ 0. , 0.5, 1. ]))
>>> exposure.histogram(image, nbins=2)
(array([107432, 154712]), array([ 0.25, 0.75]))
"""
sh = image.shape
if len(sh) == 3 and sh[-1] < 4:
warnings.warn("This might be a color image. The histogram will be "
"computed on the flattened image. You can instead "
"apply this function to each color channel.")
# For integer types, histogramming with bincount is more efficient.
if np.issubdtype(image.dtype, np.integer):
offset = 0
if np.min(image) < 0:
offset = np.min(image)
hist = np.bincount(image.ravel() - offset)
bin_centers = np.arange(len(hist)) + offset
# clip histogram to start with a non-zero bin
idx = np.nonzero(hist)[0][0]
return hist[idx:], bin_centers[idx:]
else:
hist, bin_edges = np.histogram(image.flat, nbins)
bin_centers = (bin_edges[:-1] + bin_edges[1:]) / 2.
return hist, bin_centers
def cumulative_distribution(image, nbins=256):
"""Return cumulative distribution function (cdf) for the given image.
Parameters
----------
image : array
Image array.
nbins : int
Number of bins for image histogram.
Returns
-------
img_cdf : array
Values of cumulative distribution function.
bin_centers : array
Centers of bins.
References
----------
.. [1] http://en.wikipedia.org/wiki/Cumulative_distribution_function
"""
hist, bin_centers = histogram(image, nbins)
img_cdf = hist.cumsum()
img_cdf = img_cdf / float(img_cdf[-1])
return img_cdf, bin_centers
@deprecated('equalize_hist')
def equalize(image, nbins=256):
return equalize_hist(image, nbins)
def equalize_hist(image, nbins=256):
"""Return image after histogram equalization.
Parameters
----------
image : array
Image array.
nbins : int
Number of bins for image histogram.
Returns
-------
out : float array
Image array after histogram equalization.
Notes
-----
This function is adapted from [1]_ with the author's permission.
References
----------
.. [1] http://www.janeriksolem.net/2009/06/histogram-equalization-with-python-and.html
.. [2] http://en.wikipedia.org/wiki/Histogram_equalization
"""
image = img_as_float(image)
cdf, bin_centers = cumulative_distribution(image, nbins)
out = np.interp(image.flat, bin_centers, cdf)
return out.reshape(image.shape)
def rescale_intensity(image, in_range=None, out_range=None):
"""Return image after stretching or shrinking its intensity levels.
The image intensities are uniformly rescaled such that the minimum and
maximum values given by `in_range` match those given by `out_range`.
Parameters
----------
image : array
Image array.
in_range : 2-tuple (float, float)
Min and max *allowed* intensity values of input image. If None, the
*allowed* min/max values are set to the *actual* min/max values in the
input image.
out_range : 2-tuple (float, float)
Min and max intensity values of output image. If None, use the min/max
intensities of the image data type. See `skimage.util.dtype` for
details.
Returns
-------
out : array
Image array after rescaling its intensity. This image is the same dtype
as the input image.
Examples
--------
By default, intensities are stretched to the limits allowed by the dtype:
>>> image = np.array([51, 102, 153], dtype=np.uint8)
>>> rescale_intensity(image)
array([ 0, 127, 255], dtype=uint8)
It's easy to accidentally convert an image dtype from uint8 to float:
>>> 1.0 * image
array([ 51., 102., 153.])
Use `rescale_intensity` to rescale to the proper range for float dtypes:
>>> image_float = 1.0 * image
>>> rescale_intensity(image_float)
array([ 0. , 0.5, 1. ])
To maintain the low contrast of the original, use the `in_range` parameter:
>>> rescale_intensity(image_float, in_range=(0, 255))
array([ 0.2, 0.4, 0.6])
If the min/max value of `in_range` is more/less than the min/max image
intensity, then the intensity levels are clipped:
>>> rescale_intensity(image_float, in_range=(0, 102))
array([ 0.5, 1. , 1. ])
If you have an image with signed integers but want to rescale the image to
just the positive range, use the `out_range` parameter:
>>> image = np.array([-10, 0, 10], dtype=np.int8)
>>> rescale_intensity(image, out_range=(0, 127))
array([ 0, 63, 127], dtype=int8)
"""
dtype = image.dtype.type
if in_range is None:
imin = np.min(image)
imax = np.max(image)
else:
imin, imax = in_range
if out_range is None:
omin, omax = dtype_range[dtype]
if imin >= 0:
omin = 0
else:
omin, omax = out_range
image = np.clip(image, imin, imax)
image = (image - imin) / float(imax - imin)
return dtype(image * (omax - omin) + omin)
def _assert_non_negative(image):
if np.any(image < 0):
raise ValueError('Image Correction methods work correctly only on '
'images with non-negative values. Use '
'skimage.exposure.rescale_intensity.')
def adjust_gamma(image, gamma=1, gain=1):
"""Performs Gamma Correction on the input image.
Also known as Power Law Transform.
This function transforms the input image pixelwise according to the
equation ``O = I**gamma`` after scaling each pixel to the range 0 to 1.
Parameters
----------
image : ndarray
Input image.
gamma : float
Non negative real number. Default value is 1.
gain : float
The constant multiplier. Default value is 1.
Returns
-------
out : ndarray
Gamma corrected output image.
Notes
-----
For gamma greater than 1, the histogram will shift towards left and
the output image will be darker than the input image.
For gamma less than 1, the histogram will shift towards right and
the output image will be brighter than the input image.
References
----------
.. [1] http://en.wikipedia.org/wiki/Gamma_correction
"""
_assert_non_negative(image)
dtype = image.dtype.type
if gamma < 0:
return "Gamma should be a non-negative real number"
scale = float(dtype_limits(image, True)[1] - dtype_limits(image, True)[0])
out = ((image / scale) ** gamma) * scale * gain
return dtype(out)
def adjust_log(image, gain=1, inv=False):
"""Performs Logarithmic correction on the input image.
This function transforms the input image pixelwise according to the
equation ``O = gain*log(1 + I)`` after scaling each pixel to the range 0 to 1.
For inverse logarithmic correction, the equation is ``O = gain*(2**I - 1)``.
Parameters
----------
image : ndarray
Input image.
gain : float
The constant multiplier. Default value is 1.
inv : float
If True, it performs inverse logarithmic correction,
else correction will be logarithmic. Defaults to False.
Returns
-------
out : ndarray
Logarithm corrected output image.
References
----------
.. [1] http://www.ece.ucsb.edu/Faculty/Manjunath/courses/ece178W03/EnhancePart1.pdf
"""
_assert_non_negative(image)
dtype = image.dtype.type
scale = float(dtype_limits(image, True)[1] - dtype_limits(image, True)[0])
if inv:
out = (2 ** (image / scale) - 1) * scale * gain
return dtype(out)
out = np.log2(1 + image / scale) * scale * gain
return dtype(out)
def adjust_sigmoid(image, cutoff=0.5, gain=10, inv=False):
"""Performs Sigmoid Correction on the input image.
Also known as Contrast Adjustment.
This function transforms the input image pixelwise according to the
equation ``O = 1/(1 + exp*(gain*(cutoff - I)))`` after scaling each pixel
to the range 0 to 1.
Parameters
----------
image : ndarray
Input image.
cutoff : float
Cutoff of the sigmoid function that shifts the characteristic curve
in horizontal direction. Default value is 0.5.
gain : float
The constant multiplier in exponential's power of sigmoid function.
Default value is 10.
inv : bool
If True, returns the negative sigmoid correction. Defaults to False.
Returns
-------
out : ndarray
Sigmoid corrected output image.
References
----------
.. [1] Gustav J. Braun, "Image Lightness Rescaling Using Sigmoidal Contrast
Enhancement Functions",
http://www.cis.rit.edu/fairchild/PDFs/PAP07.pdf
"""
_assert_non_negative(image)
dtype = image.dtype.type
scale = float(dtype_limits(image, True)[1] - dtype_limits(image, True)[0])
if inv:
out = (1 - 1 / (1 + np.exp(gain * (cutoff - image/scale)))) * scale
return dtype(out)
out = (1 / (1 + np.exp(gain * (cutoff - image/scale)))) * scale
return dtype(out)