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340 lines
11 KiB
Python
340 lines
11 KiB
Python
"""
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Adapted code from "Contrast Limited Adaptive Histogram Equalization" by Karel
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Zuiderveld <karel@cv.ruu.nl>, Graphics Gems IV, Academic Press, 1994.
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http://tog.acm.org/resources/GraphicsGems/gems.html#gemsvi
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The Graphics Gems code is copyright-protected. In other words, you cannot
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claim the text of the code as your own and resell it. Using the code is
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permitted in any program, product, or library, non-commercial or commercial.
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Giving credit is not required, though is a nice gesture. The code comes as-is,
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and if there are any flaws or problems with any Gems code, nobody involved with
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Gems - authors, editors, publishers, or webmasters - are to be held
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responsible. Basically, don't be a jerk, and remember that anything free
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comes with no guarantee.
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"""
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import numpy as np
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import skimage
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from skimage.color.adapt_rgb import adapt_rgb, hsv_value
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from skimage.exposure import rescale_intensity
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from skimage.util import view_as_blocks, pad
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MAX_REG_X = 16 # max. # contextual regions in x-direction */
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MAX_REG_Y = 16 # max. # contextual regions in y-direction */
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NR_OF_GREY = 2 ** 14 # number of grayscale levels to use in CLAHE algorithm
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@adapt_rgb(hsv_value)
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def equalize_adapthist(image, ntiles_x=8, ntiles_y=8, clip_limit=0.01,
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nbins=256):
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"""Contrast Limited Adaptive Histogram Equalization (CLAHE).
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An algorithm for local contrast enhancement, that uses histograms computed
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over different tile regions of the image. Local details can therefore be
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enhanced even in regions that are darker or lighter than most of the image.
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Parameters
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----------
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image : array-like
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Input image.
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ntiles_x : int, optional
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Number of tile regions in the X direction. Ranges between 1 and 16.
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ntiles_y : int, optional
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Number of tile regions in the Y direction. Ranges between 1 and 16.
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clip_limit : float: optional
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Clipping limit, normalized between 0 and 1 (higher values give more
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contrast).
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nbins : int, optional
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Number of gray bins for histogram ("dynamic range").
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Returns
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-------
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out : ndarray
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Equalized image.
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See Also
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--------
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equalize_hist, rescale_intensity
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Notes
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-----
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* For color images, the following steps are performed:
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- The image is converted to HSV color space
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- The CLAHE algorithm is run on the V (Value) channel
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- The image is converted back to RGB space and returned
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* For RGBA images, the original alpha channel is removed.
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* The CLAHE algorithm relies on image blocks of equal size. This may
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result in extra border pixels that would not be handled. In that case,
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we pad the image with a repeat of the border pixels, apply the
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algorithm, and then trim the image to original size.
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References
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----------
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.. [1] http://tog.acm.org/resources/GraphicsGems/gems.html#gemsvi
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.. [2] https://en.wikipedia.org/wiki/CLAHE#CLAHE
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"""
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image = skimage.img_as_uint(image)
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image = rescale_intensity(image, out_range=(0, NR_OF_GREY - 1))
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out = _clahe(image, ntiles_x, ntiles_y, clip_limit * nbins, nbins)
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image[:out.shape[0], :out.shape[1]] = out
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image = skimage.img_as_float(image)
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return rescale_intensity(image)
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def _clahe(image, ntiles_x, ntiles_y, clip_limit, nbins=128):
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"""Contrast Limited Adaptive Histogram Equalization.
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Parameters
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----------
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image : array-like
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Input image.
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ntiles_x : int, optional
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Number of tile regions in the X direction. Ranges between 2 and 16.
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ntiles_y : int, optional
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Number of tile regions in the Y direction. Ranges between 2 and 16.
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clip_limit : float, optional
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Normalized clipping limit (higher values give more contrast).
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nbins : int, optional
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Number of gray bins for histogram ("dynamic range").
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Returns
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-------
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out : ndarray
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Equalized image.
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The number of "effective" greylevels in the output image is set by `nbins`;
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selecting a small value (eg. 128) speeds up processing and still produce
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an output image of good quality. The output image will have the same
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minimum and maximum value as the input image. A clip limit smaller than 1
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results in standard (non-contrast limited) AHE.
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"""
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ntiles_x = min(ntiles_x, MAX_REG_X)
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ntiles_y = min(ntiles_y, MAX_REG_Y)
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if clip_limit == 1.0:
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return image # is OK, immediately returns original image.
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h_inner = image.shape[0] - image.shape[0] % ntiles_y
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w_inner = image.shape[1] - image.shape[1] % ntiles_x
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# make the tile size divisible by 2
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h_inner -= h_inner % (2 * ntiles_y)
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w_inner -= w_inner % (2 * ntiles_x)
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orig_shape = image.shape
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width = w_inner // ntiles_x # Actual size of contextual regions
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height = h_inner // ntiles_y
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if h_inner != image.shape[0]:
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ntiles_y += 1
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if w_inner != image.shape[1]:
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ntiles_x += 1
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if h_inner != image.shape[1] or w_inner != image.shape[0]:
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h_pad = height * ntiles_y - image.shape[0]
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w_pad = width * ntiles_x - image.shape[1]
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image = pad(image, ((0, h_pad), (0, w_pad)), mode='reflect')
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h_inner, w_inner = image.shape
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bin_size = 1 + NR_OF_GREY // nbins
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lut = np.arange(NR_OF_GREY)
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lut //= bin_size
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img_blocks = view_as_blocks(image, (height, width))
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map_array = np.zeros((ntiles_y, ntiles_x, nbins), dtype=int)
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n_pixels = width * height
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if clip_limit > 0.0: # Calculate actual cliplimit
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clip_limit = int(clip_limit * (width * height) / nbins)
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if clip_limit < 1:
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clip_limit = 1
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else:
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clip_limit = NR_OF_GREY # Large value, do not clip (AHE)
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# Calculate greylevel mappings for each contextual region
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for y in range(ntiles_y):
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for x in range(ntiles_x):
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sub_img = img_blocks[y, x]
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hist = lut[sub_img.ravel()]
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hist = np.bincount(hist)
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hist = np.append(hist, np.zeros(nbins - hist.size, dtype=int))
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hist = clip_histogram(hist, clip_limit)
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hist = map_histogram(hist, 0, NR_OF_GREY - 1, n_pixels)
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map_array[y, x] = hist
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# Interpolate greylevel mappings to get CLAHE image
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ystart = 0
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for y in range(ntiles_y + 1):
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xstart = 0
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if y == 0: # special case: top row
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ystep = height / 2.0
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yU = 0
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yB = 0
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elif y == ntiles_y: # special case: bottom row
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ystep = height / 2.0
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yU = ntiles_y - 1
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yB = yU
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else: # default values
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ystep = height
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yU = y - 1
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yB = yB + 1
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for x in range(ntiles_x + 1):
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if x == 0: # special case: left column
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xstep = width / 2.0
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xL = 0
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xR = 0
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elif x == ntiles_x: # special case: right column
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xstep = width / 2.0
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xL = ntiles_x - 1
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xR = xL
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else: # default values
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xstep = width
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xL = x - 1
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xR = xL + 1
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mapLU = map_array[yU, xL]
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mapRU = map_array[yU, xR]
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mapLB = map_array[yB, xL]
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mapRB = map_array[yB, xR]
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xslice = np.arange(xstart, xstart + xstep)
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yslice = np.arange(ystart, ystart + ystep)
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interpolate(image, xslice, yslice,
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mapLU, mapRU, mapLB, mapRB, lut)
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xstart += xstep # set pointer on next matrix */
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ystart += ystep
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if image.shape != orig_shape:
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image = image[:orig_shape[0], :orig_shape[1]]
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return image
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def clip_histogram(hist, clip_limit):
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"""Perform clipping of the histogram and redistribution of bins.
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The histogram is clipped and the number of excess pixels is counted.
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Afterwards the excess pixels are equally redistributed across the
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whole histogram (providing the bin count is smaller than the cliplimit).
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Parameters
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----------
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hist : ndarray
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Histogram array.
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clip_limit : int
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Maximum allowed bin count.
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Returns
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-------
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hist : ndarray
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Clipped histogram.
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"""
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# calculate total number of excess pixels
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excess_mask = hist > clip_limit
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excess = hist[excess_mask]
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n_excess = excess.sum() - excess.size * clip_limit
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# Second part: clip histogram and redistribute excess pixels in each bin
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bin_incr = int(n_excess / hist.size) # average binincrement
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upper = clip_limit - bin_incr # Bins larger than upper set to cliplimit
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hist[excess_mask] = clip_limit
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low_mask = hist < upper
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n_excess -= hist[low_mask].size * bin_incr
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hist[low_mask] += bin_incr
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mid_mask = (hist >= upper) & (hist < clip_limit)
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mid = hist[mid_mask]
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n_excess -= mid.size * clip_limit - mid.sum()
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hist[mid_mask] = clip_limit
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while n_excess > 0: # Redistribute remaining excess
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index = 0
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while n_excess > 0 and index < hist.size:
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step_size = int(hist[hist < clip_limit].size / n_excess)
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step_size = max(step_size, 1)
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indices = np.arange(index, hist.size, step_size)
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under = hist[indices] < clip_limit
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hist[under] += 1
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n_excess -= hist[under].size
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index += 1
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return hist
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def map_histogram(hist, min_val, max_val, n_pixels):
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"""Calculate the equalized lookup table (mapping).
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It does so by cumulating the input histogram.
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Parameters
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----------
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hist : ndarray
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Clipped histogram.
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min_val : int
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Minimum value for mapping.
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max_val : int
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Maximum value for mapping.
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n_pixels : int
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Number of pixels in the region.
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Returns
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-------
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out : ndarray
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Mapped intensity LUT.
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"""
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out = np.cumsum(hist).astype(float)
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scale = ((float)(max_val - min_val)) / n_pixels
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out *= scale
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out += min_val
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out[out > max_val] = max_val
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return out.astype(int)
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def interpolate(image, xslice, yslice,
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mapLU, mapRU, mapLB, mapRB, lut):
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"""Find the new grayscale level for a region using bilinear interpolation.
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Parameters
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----------
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image : ndarray
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Full image.
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xslice, yslice : array-like
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Indices of the region.
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map* : ndarray
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Mappings of greylevels from histograms.
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lut : ndarray
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Maps grayscale levels in image to histogram levels.
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Returns
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-------
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out : ndarray
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Original image with the subregion replaced.
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Notes
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-----
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This function calculates the new greylevel assignments of pixels within
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a submatrix of the image. This is done by a bilinear interpolation between
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four different mappings in order to eliminate boundary artifacts.
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"""
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norm = xslice.size * yslice.size # Normalization factor
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# interpolation weight matrices
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x_coef, y_coef = np.meshgrid(np.arange(xslice.size),
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np.arange(yslice.size))
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x_inv_coef, y_inv_coef = x_coef[:, ::-1] + 1, y_coef[::-1] + 1
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view = image[int(yslice[0]):int(yslice[-1] + 1),
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int(xslice[0]):int(xslice[-1] + 1)]
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im_slice = lut[view]
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new = ((y_inv_coef * (x_inv_coef * mapLU[im_slice]
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+ x_coef * mapRU[im_slice])
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+ y_coef * (x_inv_coef * mapLB[im_slice]
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+ x_coef * mapRB[im_slice]))
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/ norm)
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view[:, :] = new
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return image
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