This commit is contained in:
Stefan van der Walt
2009-10-24 11:58:45 +02:00
3 changed files with 515 additions and 28 deletions
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OpenCV functions and better OSX library loader
- Ralf Gommers
Image IO and plots in documentation
Image IO, color spaces and plots in documentation
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#!/usr/bin/env python
# -*- coding: utf-8 -*-
"""
:author: Nicolas Pinto, 2009
"""Functions for converting between color spaces.
The "central" color space in this module is RGB, more specifically the linear
sRGB color space using D65 as a white-point [1]_. This represents a
standard monitor (w/o gamma correction). For a good FAQ on color spaces see
[2]_.
The API consists of functions to convert to and from RGB as defined above, as
well as a generic function to convert to and from any supported color space
(which is done through RGB in most cases).
Supported color spaces
----------------------
* RGB : Red Green Blue.
Here the sRGB standard [1]_.
* HSV : Hue, Saturation, Value.
Uniquely defined when related to sRGB [3]_.
* RGB CIE : Red Green Blue.
The original RGB CIE standard from 1931 [4]_. Primary colors are 700 nm
(red), 546.1 nm (blue) and 435.8 nm (green).
* XYZ CIE : XYZ
Derived from the RGB CIE color space. Chosen such that
``x == y == z == 1/3`` at the whitepoint, and all color matching
functions are greater than zero everywhere.
:author: Nicolas Pinto (rgb2hsv)
:author: Ralf Gommers (hsv2rgb)
:author: Travis Oliphant (XYZ and RGB CIE functions)
:license: modified BSD
References
----------
.. [1] Official specification of sRGB, IEC 61966-2-1:1999.
.. [2] http://www.poynton.com/ColorFAQ.html
.. [3] http://en.wikipedia.org/wiki/HSL_and_HSV
.. [4] http://en.wikipedia.org/wiki/CIE_1931_color_space
"""
from __future__ import division
__all__ = ["rgb2hsv"]
__all__ = ['convert_colorspace', 'rgb2hsv', 'hsv2rgb', 'rgb2xyz', 'xyz2rgb',
'rgb2rgbcie', 'rgbcie2rgb']
__docformat__ = "restructuredtext en"
import numpy as np
from scipy import linalg
def convert_colorspace(arr, fromspace, tospace):
"""Convert an image array to a new color space.
Parameters
----------
arr : array_like
The image to convert.
fromspace : str
The color space to convert from. Valid color space strings are
['RGB', 'HSV', 'RGB CIE', 'XYZ']. Value may also be specified as lower
case.
tospace : str
The color space to convert to. Valid color space strings are
['RGB', 'HSV', 'RGB CIE', 'XYZ']. Value may also be specified as lower
case.
Returns
-------
newarr : ndarray
The converted image.
Notes
-----
Conversion occurs through the "central" RGB color space, i.e. conversion
from XYZ to HSV is implemented as XYZ -> RGB -> HSV instead of directly.
Examples
--------
>>> import os
>>> from scikits.image import data_dir
>>> from scikits.image.io import imread
>>> lena = imread(os.path.join(data_dir, 'lena.png'))
>>> lena_hsv = convert_colorspace(lena, 'RGB', 'HSV')
"""
fromdict = {'RGB':lambda im: im, 'HSV':hsv2rgb, 'RGB CIE':rgbcie2rgb,
'XYZ':xyz2rgb}
todict = {'RGB':lambda im:im, 'HSV':rgb2hsv, 'RGB CIE':rgb2rgbcie,
'XYZ':rgb2xyz}
fromspace = fromspace.upper()
tospace = tospace.upper()
if not fromspace in fromdict.keys():
raise ValueError, 'fromspace needs to be one of %s'%fromdict.keys()
if not tospace in todict.keys():
raise ValueError, 'tospace needs to be one of %s'%todict.keys()
return todict[tospace](fromdict[fromspace](arr))
def _prepare_colorarray(arr, dtype=np.float32):
"""Check the shape of the array, and give it the requested type."""
arr = np.asanyarray(arr)
if arr.ndim != 3 or arr.shape[2] != 3:
msg = "the input array must be have a shape == (.,.,3))"
raise ValueError, msg
return arr.astype(dtype)
def rgb2hsv(rgb):
"""RGB to HSV color space conversion.
Parameters
----------
rgb : array_like
The image in RGB format, in a 3-D array of shape (.., .., 3).
Returns
-------
out : ndarray
The image in HSV format, in a 3-D array of shape (.., .., 3).
Raises
------
ValueError
If `rgb` is not a 3-D array of shape (.., .., 3).
Notes
-----
The conversion assumes an input data range of [0, 1] for all color components.
Conversion between RGB and HSV color spaces results in some loss of
precision, due to integer arithmetic and rounding [1]_.
References
----------
.. [1] http://en.wikipedia.org/wiki/HSL_and_HSV
Examples
--------
>>> import os
>>> from scikits.image import data_dir
>>> from scikits.image.io import imread
>>> lena = imread(os.path.join(data_dir, 'lena.png'))
>>> lena_hsv = color.rgb2hsv(lena)
"""
RGB to HSV color space conversion
"""
if type(rgb) != np.ndarray:
raise TypeError, "the input array 'rgb' must be a numpy.ndarray"
if rgb.ndim != 3 or rgb.shape[2] != 3:
msg = "the input array 'rgb' must be have a shape == (.,.,3))"
raise ValueError, msg
arr = rgb.astype("float32")
arr = _prepare_colorarray(rgb)
out = np.empty_like(arr)
# -- V channel
out_v = arr.max(-1)
@@ -39,15 +164,15 @@ def rgb2hsv(rgb):
# -- H channel
# red is max
idx = (arr[:,:,0] == out_v)
idx = (arr[:,:,0] == out_v)
out[idx, 0] = (arr[idx, 1] - arr[idx, 2]) / delta[idx]
# green is max
idx = (arr[:,:,1] == out_v)
idx = (arr[:,:,1] == out_v)
out[idx, 0] = 2. + (arr[idx, 2] - arr[idx, 0] ) / delta[idx]
# blue is max
idx = (arr[:,:,2] == out_v)
idx = (arr[:,:,2] == out_v)
out[idx, 0] = 4. + (arr[idx, 0] - arr[idx, 1] ) / delta[idx]
out_h = (out[:,:,0] / 6.) % 1.
@@ -61,3 +186,266 @@ def rgb2hsv(rgb):
return out
def hsv2rgb(hsv):
"""HSV to RGB color space conversion.
Parameters
----------
hsv : array_like
The image in HSV format, in a 3-D array of shape (.., .., 3).
Returns
-------
out : ndarray
The image in RGB format, in a 3-D array of shape (.., .., 3).
Raises
------
ValueError
If `hsv` is not a 3-D array of shape (.., .., 3).
Notes
-----
The conversion assumes an input data range of [0, 1] for all color components.
Conversion between RGB and HSV color spaces results in some loss of
precision, due to integer arithmetic and rounding [1]_.
References
----------
.. [1] http://en.wikipedia.org/wiki/HSL_and_HSV
Examples
--------
>>> import os
>>> from scikits.image import data_dir
>>> from scikits.image.io import imread
>>> lena = imread(os.path.join(data_dir, 'lena.png'))
>>> lena_hsv = rgb2hsv(lena)
>>> lena_rgb = hsv2rgb(lena_hsv)
"""
arr = _prepare_colorarray(hsv)
hi = np.floor(arr[:,:,0] * 6)
f = arr[:,:,0] * 6 - hi
p = arr[:,:,2] * (1 - arr[:,:,1])
q = arr[:,:,2] * (1 - f * arr[:,:,1])
t = arr[:,:,2] * (1 - (1 - f) * arr[:,:,1])
v = arr[:,:,2]
hi = np.dstack([hi, hi, hi]).astype(np.uint8) % 6
out = np.choose(hi, [np.dstack((v, t, p)),
np.dstack((q, v, p)),
np.dstack((p, v, t)),
np.dstack((p, q, v)),
np.dstack((t, p, v)),
np.dstack((v, p, q))])
return out
#---------------------------------------------------------------
# Primaries for the coordinate systems
#---------------------------------------------------------------
cie_primaries = np.array([700, 546.1, 435.8])
sb_primaries = np.array([1./155, 1./190, 1./225]) * 1e5
#---------------------------------------------------------------
# Matrices that define conversion between different color spaces
#---------------------------------------------------------------
# From sRGB specification
xyz_from_rgb = np.array([[0.412453, 0.357580, 0.180423],
[0.212671, 0.715160, 0.072169],
[0.019334, 0.119193, 0.950227]])
rgb_from_xyz = linalg.inv(xyz_from_rgb)
# From http://en.wikipedia.org/wiki/CIE_1931_color_space
# Note: Travis' code did not have the divide by 0.17697
xyz_from_rgbcie = np.array([[0.49, 0.31, 0.20],
[0.17697, 0.81240, 0.01063],
[0.00, 0.01, 0.99]]) / 0.17697
rgbcie_from_xyz = linalg.inv(xyz_from_rgbcie)
# construct matrices to and from rgb:
rgbcie_from_rgb = np.dot(rgbcie_from_xyz, xyz_from_rgb)
rgb_from_rgbcie = np.dot(rgb_from_xyz, xyz_from_rgbcie)
#-------------------------------------------------------------
# The conversion functions that make use of the matrices above
#-------------------------------------------------------------
def _convert(matrix, arr):
"""Do the color space conversion.
Parameters
----------
matrix : array_like
The 3x3 matrix to use.
arr : array_like
The input array.
Returns
-------
out : ndarray
The converted array.
"""
arr = _prepare_colorarray(arr)
arr = np.swapaxes(arr, 0, 2)
oldshape = arr.shape
arr = np.reshape(arr, (3, -1))
out = np.dot(matrix, arr)
out.shape = oldshape
out = np.swapaxes(out, 2, 0)
return out
def xyz2rgb(xyz):
"""XYZ to RGB color space conversion.
Parameters
----------
xyz : array_like
The image in XYZ format, in a 3-D array of shape (.., .., 3).
Returns
-------
out : ndarray
The image in RGB format, in a 3-D array of shape (.., .., 3).
Raises
------
ValueError
If `xyz` is not a 3-D array of shape (.., .., 3).
Notes
-----
The CIE XYZ color space is derived from the CIE RGB color space. Note
however that this function converts to sRGB.
References
----------
.. [1] http://en.wikipedia.org/wiki/CIE_1931_color_space
Examples
--------
>>> import os
>>> from scikits.image import data_dir
>>> from scikits.image.io import imread
>>> lena = imread(os.path.join(data_dir, 'lena.png'))
>>> lena_xyz = rgb2xyz(lena)
>>> lena_rgb = xyz2rgb(lena_hsv)
"""
return _convert(rgb_from_xyz, xyz)
def rgb2xyz(rgb):
"""RGB to XYZ color space conversion.
Parameters
----------
rgb : array_like
The image in RGB format, in a 3-D array of shape (.., .., 3).
Returns
-------
out : ndarray
The image in XYZ format, in a 3-D array of shape (.., .., 3).
Raises
------
ValueError
If `rgb` is not a 3-D array of shape (.., .., 3).
Notes
-----
The CIE XYZ color space is derived from the CIE RGB color space. Note
however that this function converts from sRGB.
References
----------
.. [1] http://en.wikipedia.org/wiki/CIE_1931_color_space
Examples
--------
>>> import os
>>> from scikits.image import data_dir
>>> from scikits.image.io import imread
>>> lena = imread(os.path.join(data_dir, 'lena.png'))
>>> lena_xyz = rgb2xyz(lena)
"""
return _convert(xyz_from_rgb, rgb)
def rgb2rgbcie(rgb):
"""RGB to RGB CIE color space conversion.
Parameters
----------
rgb : array_like
The image in RGB format, in a 3-D array of shape (.., .., 3).
Returns
-------
out : ndarray
The image in RGB CIE format, in a 3-D array of shape (.., .., 3).
Raises
------
ValueError
If `rgb` is not a 3-D array of shape (.., .., 3).
References
----------
.. [1] http://en.wikipedia.org/wiki/CIE_1931_color_space
Examples
--------
>>> import os
>>> from scikits.image import data_dir
>>> from scikits.image.io import imread
>>> lena = imread(os.path.join(data_dir, 'lena.png'))
>>> lena_rgbcie = rgb2rgbcie(lena)
"""
return _convert(rgbcie_from_rgb, rgb)
def rgbcie2rgb(rgbcie):
"""RGB CIE to RGB color space conversion.
Parameters
----------
rgbcie : array_like
The image in RGB CIE format, in a 3-D array of shape (.., .., 3).
Returns
-------
out : ndarray
The image in RGB format, in a 3-D array of shape (.., .., 3).
Raises
------
ValueError
If `rgbcie` is not a 3-D array of shape (.., .., 3).
References
----------
.. [1] http://en.wikipedia.org/wiki/CIE_1931_color_space
Examples
--------
>>> import os
>>> from scikits.image import data_dir
>>> from scikits.image.io import imread
>>> lena = imread(os.path.join(data_dir, 'lena.png'))
>>> lena_rgbcie = rgb2rgbcie(lena)
>>> lena_rgb = rgbcie2rgb(lena_hsv)
"""
return _convert(rgb_from_rgbcie, rgbcie)
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@@ -1,30 +1,47 @@
#!/usr/bin/env python
# -*- coding: utf-8 -*-
"""
:author: Nicolas Pinto, 2009
"""Tests for color conversion functions.
Authors
-------
- the rgb2hsv test was written by Nicolas Pinto, 2009
- other tests written by Ralf Gommers, 2009
:license: modified BSD
"""
from os import path
import os.path
import numpy as np
from numpy.testing import *
from scikits.image.io import imread
from scikits.image.color import (
rgb2hsv,
rgb2hsv, hsv2rgb,
rgb2xyz, xyz2rgb,
rgb2rgbcie, rgbcie2rgb,
convert_colorspace
)
from scikits.image import data_dir
import colorsys
class TestColorconv(TestCase):
img_rgb = imread(path.join(data_dir, 'color.png'))
img_grayscale = imread(path.join(data_dir, 'camera.png'))
img_rgb = imread(os.path.join(data_dir, 'color.png'))
img_grayscale = imread(os.path.join(data_dir, 'camera.png'))
colbars = np.array([[1, 1, 0, 0, 1, 1, 0, 0],
[1, 1, 1, 1, 0, 0, 0, 0],
[1, 0, 1, 0, 1, 0, 1, 0]])
colbars_array = np.swapaxes(colbars.reshape(3, 4, 2), 0, 2)
colbars_point75 = colbars * 0.75
colbars_point75_array = np.swapaxes(colbars_point75.reshape(3, 4, 2), 0, 2)
# RGB to HSV
def test_rgb2hsv_conversion(self):
rgb = self.img_rgb.astype("float32")[::16, ::16]
hsv = rgb2hsv(rgb).reshape(-1, 3)
@@ -34,14 +51,96 @@ class TestColorconv(TestCase):
)
assert_almost_equal(hsv, gt)
def test_rgb2hsv_error_grayscale(self):
def test_rgb2hsv_error_grayscale(self):
self.assertRaises(ValueError, rgb2hsv, self.img_grayscale)
def test_rgb2hsv_error_one_element(self):
self.assertRaises(ValueError, rgb2hsv, self.img_rgb[0,0])
def test_rgb2hsv_error_list(self):
self.assertRaises(TypeError, rgb2hsv, [self.img_rgb[0,0]])
# HSV to RGB
def test_hsv2rgb_conversion(self):
rgb = self.img_rgb.astype("float32")[::16, ::16]
# create HSV image with colorsys
hsv = np.array([colorsys.rgb_to_hsv(pt[0], pt[1], pt[2])
for pt in rgb.reshape(-1, 3)]).reshape(rgb.shape)
# convert back to RGB and compare with original.
# relative precision for RGB -> HSV roundtrip is about 1e-6
assert_almost_equal(rgb, hsv2rgb(hsv), decimal=4)
def test_hsv2rgb_error_grayscale(self):
self.assertRaises(ValueError, hsv2rgb, self.img_grayscale)
def test_hsv2rgb_error_one_element(self):
self.assertRaises(ValueError, hsv2rgb, self.img_rgb[0,0])
# RGB to XYZ
def test_rgb2xyz_conversion(self):
gt = np.array([[[ 0.950456, 1. , 1.088754],
[ 0.538003, 0.787329, 1.06942 ],
[ 0.592876, 0.28484 , 0.969561],
[ 0.180423, 0.072169, 0.950227]],
[[ 0.770033, 0.927831, 0.138527],
[ 0.35758 , 0.71516 , 0.119193],
[ 0.412453, 0.212671, 0.019334],
[ 0. , 0. , 0. ]]])
assert_almost_equal(rgb2xyz(self.colbars_array), gt)
# stop repeating the "raises" checks for all other functions that are
# implemented with color._convert()
def test_rgb2xyz_error_grayscale(self):
self.assertRaises(ValueError, rgb2xyz, self.img_grayscale)
def test_rgb2xyz_error_one_element(self):
self.assertRaises(ValueError, rgb2xyz, self.img_rgb[0,0])
# XYZ to RGB
def test_xyz2rgb_conversion(self):
# only roundtrip test, we checked rgb2xyz above already
assert_almost_equal(xyz2rgb(rgb2xyz(self.colbars_array)),
self.colbars_array)
# RGB to RGB CIE
def test_rgb2rgbcie_conversion(self):
gt = np.array([[[ 0.1488856 , 0.18288098, 0.19277574],
[ 0.01163224, 0.16649536, 0.18948516],
[ 0.12259182, 0.03308008, 0.17298223],
[-0.01466154, 0.01669446, 0.16969164]],
[[ 0.16354714, 0.16618652, 0.0230841 ],
[ 0.02629378, 0.1498009 , 0.01979351],
[ 0.13725336, 0.01638562, 0.00329059],
[ 0. , 0. , 0. ]]])
assert_almost_equal(rgb2rgbcie(self.colbars_array), gt)
# RGB CIE to RGB
def test_rgbcie2rgb_conversion(self):
# only roundtrip test, we checked rgb2rgbcie above already
assert_almost_equal(rgbcie2rgb(rgb2rgbcie(self.colbars_array)),
self.colbars_array)
def test_convert_colorspace(self):
colspaces = ['HSV', 'RGB CIE', 'XYZ']
colfuncs_from = [hsv2rgb, rgbcie2rgb, xyz2rgb]
colfuncs_to = [rgb2hsv, rgb2rgbcie, rgb2xyz]
assert_almost_equal(convert_colorspace(self.colbars_array, 'RGB',
'RGB'), self.colbars_array)
for i, space in enumerate(colspaces):
gt = colfuncs_from[i](self.colbars_array)
assert_almost_equal(convert_colorspace(self.colbars_array, space,
'RGB'), gt)
gt = colfuncs_to[i](self.colbars_array)
assert_almost_equal(convert_colorspace(self.colbars_array, 'RGB',
space), gt)
self.assertRaises(ValueError, convert_colorspace, self.colbars_array,
'nokey', 'XYZ')
self.assertRaises(ValueError, convert_colorspace, self.colbars_array,
'RGB', 'nokey')
if __name__ == "__main__":
run_module_suite()