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113 lines
3.6 KiB
Python
113 lines
3.6 KiB
Python
"""
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Compute grey level co-occurrence matrices (GLCM) to characterize
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image textures.
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"""
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import numpy as np
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import skimage.util
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def glcm(image, distances, angles, levels=256, symmetric=False,
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normal=False):
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"""Calculate the grey-level co-occurrence matrix of a grey-level
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image.
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A grey level co-occurence matrix is a histogram of co-occuring
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greyscale values at a given offset over an image. It can be used to
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extract features from textured areas of an image.
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Parameters
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----------
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image : (M,N) ndarray
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Input image. The input image is converted to the uint8 data
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type.
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distances : (K,) ndarray
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Histogram distance offsets
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angles : (L,) ndarray
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Histogram angles in radians
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levels : int
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The input image should contain integers in [0, levels-1],
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where levels indicate the number of grey-levels counted
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(typically 256 for an 8-bit image).
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symmetric : bool
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If True, the output matrix P is symmetric. This is accomplished
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by ignoring the order of value pairs, so both (i, j) and (j, i)
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are accumulated when (i, j) is encountered.
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normal : bool
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If True, normalize the result by dividing by the number of
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possible outcomes
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Returns
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-------
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P : 4-dimensional ndarray
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The grey-level co-occurrence histogram. The value
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P[i,j,d,theta] is the number of times that grey-level j
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occurs at a distance d and at an angle theta from
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grey-level i.
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Examples
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--------
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Compute 2 GLCMs: One for a 1-pixel offset to the right, and one
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for a 1-pixel offset upwards.
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>>> image = np.array([[0, 0, 1, 1],
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... [0, 0, 1, 1],
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... [0, 2, 2, 2],
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... [2, 2, 3, 3]], dtype=np.uint8)
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>>> result = glcm(image, [1], [0, np.pi/2], 4)
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>>> result[:, :, 0, 0]
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array([[2, 2, 1, 0],
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[0, 2, 0, 0],
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[0, 0, 3, 1],
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[0, 0, 0, 1]], dtype=uint32)
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>>> result[:, :, 0, 1]
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array([[3, 0, 2, 0],
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[0, 2, 2, 0],
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[0, 0, 1, 2],
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[0, 0, 0, 0]], dtype=uint32)
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"""
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image = skimage.util.img_as_ubyte(image)
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assert image.ndim == 2
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assert image.min() >= 0
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assert image.max() < levels
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distances = np.asarray(distances)
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angles = np.asarray(angles)
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assert distances.ndim == 1
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assert angles.ndim == 1
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rows, cols = image.shape
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out = np.zeros((levels, levels, len(distances), len(angles)),
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dtype=np.uint32)
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for a_idx, angle in enumerate(angles):
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for d_idx, distance in enumerate(distances):
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for r in range(rows):
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for c in range(cols):
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i = image[r, c]
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# compute the location of the offset pixel
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row = r + int(np.round(np.sin(angle) * distance))
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col = c + int(np.round(np.cos(angle) * distance))
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# make sure the offset is within bounds
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if row >= 0 and row < rows and \
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col >= 0 and col < cols:
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j = image[row, col]
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if i >= 0 and i < levels and \
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j >= 0 and j < levels:
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out[i, j, d_idx, a_idx] += 1
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if symmetric:
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out[j, i, d_idx, a_idx] += 1
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# normalize
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if normal:
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out = out.astype(np.float64) / out.sum()
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return out
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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