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Merge pull request #746 from luispedro/master
ENH Faster perimeter computation
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@@ -517,24 +517,25 @@ def perimeter(image, neighbourhood=4):
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strel = STREL_4
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else:
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strel = STREL_8
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image = image.astype(np.uint8)
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eroded_image = ndimage.binary_erosion(image, strel, border_value=0)
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border_image = image - eroded_image
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# perimeter contribution: corresponding values in convolved image
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perimeter_weights = {
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1: (5, 7, 15, 17, 25, 27),
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sqrt(2): (21, 33),
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(1 + sqrt(2)) / 2: (13, 23)
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}
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perimeter_weights = np.zeros(50, float)
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perimeter_weights[[5, 7, 15, 17, 25, 27]] = 1
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perimeter_weights[[21, 33]] = sqrt(2)
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perimeter_weights[[13, 23]] = (1 + sqrt(2)) / 2
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perimeter_image = ndimage.convolve(border_image, np.array([[10, 2, 10],
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[ 2, 1, 2],
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[10, 2, 10]]),
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mode='constant', cval=0)
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total_perimeter = 0
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for weight, values in perimeter_weights.items():
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num_values = 0
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for value in values:
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num_values += np.sum(perimeter_image == value)
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total_perimeter += num_values * weight
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# You can also write
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# return perimeter_weights[perimeter_image].sum()
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# but that was measured as taking much longer than bincount + np.dot (5x
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# as much time)
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perimeter_histogram = np.bincount(perimeter_image.ravel(), minlength=50)
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total_perimeter = np.dot(perimeter_histogram, perimeter_weights)
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return total_perimeter
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