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Merge pull request #33 from amueller/median_filter_minor
Median filter minor cleanup.
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@@ -15,12 +15,13 @@ import numpy as np
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from . import _ctmf
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from rank_order import rank_order
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def median_filter(data, mask=None, radius=1, percent=50):
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def median_filter(image, mask=None, radius=2, percent=50):
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'''Masked median filter with octagon shape.
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Parameters
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----------
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data : (M,N) ndarray, dtype uint8
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image : (M,N) ndarray, dtype uint8
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Input image.
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mask : (M,N) ndarray, dtype uint8, optional
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A value of 1 indicates a significant pixel, 0
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@@ -43,42 +44,46 @@ def median_filter(data, mask=None, radius=1, percent=50):
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'''
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if image.ndim != 2:
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raise TypeError("The input 'image' must be a two dimensional array.")
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if mask is None:
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mask = np.ones(data.shape, dtype=np.bool)
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mask = np.ones(image.shape, dtype=np.bool)
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mask = np.ascontiguousarray(mask, dtype=np.bool)
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if np.all(~ mask):
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return data.copy()
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return image.copy()
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#
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# Normalize the ranked data to 0-255
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# Normalize the ranked image to 0-255
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#
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if (not np.issubdtype(data.dtype, np.int) or
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np.min(data) < 0 or np.max(data) > 255):
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ranked_data,translation = rank_order(data[mask])
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max_ranked_data = np.max(ranked_data)
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if max_ranked_data == 0:
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return data
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if max_ranked_data > 255:
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ranked_data = ranked_data * 255 // max_ranked_data
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if (not np.issubdtype(image.dtype, np.int) or
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np.min(image) < 0 or np.max(image) > 255):
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ranked_image, translation = rank_order(image[mask])
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max_ranked_image = np.max(ranked_image)
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if max_ranked_image == 0:
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return image
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if max_ranked_image > 255:
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ranked_image = ranked_image * 255 // max_ranked_image
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was_ranked = True
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else:
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ranked_data = data[mask]
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ranked_image = image[mask]
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was_ranked = False
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input = np.zeros(data.shape, np.uint8 )
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input[mask] = ranked_data
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input = np.zeros(image.shape, np.uint8)
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input[mask] = ranked_image
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mask.dtype = np.uint8
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output = np.zeros(data.shape, np.uint8)
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output = np.zeros(image.shape, np.uint8)
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_ctmf.median_filter(input, mask, output, radius, percent)
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if was_ranked:
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#
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# The translation gives the original value at each ranking.
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# We rescale the output to the original ranking and then
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# use the translation to look up the original value in the data.
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# use the translation to look up the original value in the image.
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#
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if max_ranked_data > 255:
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result = translation[output.astype(np.uint32) * max_ranked_data // 255]
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if max_ranked_image > 255:
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result = translation[output.astype(np.uint32) *
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max_ranked_image // 255]
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else:
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result = translation[output]
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else:
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@@ -1,50 +1,53 @@
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import os.path
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import numpy as np
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from numpy.testing import *
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from scikits.image.filter import median_filter
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def test_00_00_zeros():
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'''The median filter on an array of all zeros should be zero'''
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result = median_filter(np.zeros((10,10)), np.ones((10,10),bool), 3)
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result = median_filter(np.zeros((10, 10)), np.ones((10, 10), bool), 3)
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assert np.all(result == 0)
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def test_00_01_all_masked():
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'''Test a completely masked image
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Regression test of IMG-1029'''
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result = median_filter(np.zeros((10,10)), np.zeros((10,10), bool), 3)
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result = median_filter(np.zeros((10, 10)), np.zeros((10, 10), bool), 3)
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assert (np.all(result == 0))
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def test_00_02_all_but_one_masked():
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mask = np.zeros((10,10), bool)
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mask[5,5] = True
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result = median_filter(np.zeros((10,10)), mask, 3)
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mask = np.zeros((10, 10), bool)
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mask[5, 5] = True
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median_filter(np.zeros((10, 10)), mask, 3)
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def test_01_01_mask():
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'''The median filter, masking a single value'''
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img = np.zeros((10,10))
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img[5,5] = 1
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mask = np.ones((10,10),bool)
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mask[5,5] = False
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img = np.zeros((10, 10))
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img[5, 5] = 1
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mask = np.ones((10, 10), bool)
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mask[5, 5] = False
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result = median_filter(img, mask, 3)
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assert (np.all(result[mask] == 0))
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assert_equal(result[5,5], 1)
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np.testing.assert_equal(result[5, 5], 1)
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def test_02_01_median():
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'''A median filter larger than the image = median of image'''
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np.random.seed(0)
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img = np.random.uniform(size=(9,9))
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result = median_filter(img, np.ones((9,9),bool), 20)
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assert_equal(result[0,0], np.median(img))
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img = np.random.uniform(size=(9, 9))
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result = median_filter(img, np.ones((9, 9), bool), 20)
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np.testing.assert_equal(result[0, 0], np.median(img))
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assert (np.all(result == np.median(img)))
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def test_02_02_median_bigger():
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'''Use an image of more than 255 values to test approximation'''
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np.random.seed(0)
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img = np.random.uniform(size=(20,20))
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result = median_filter(img, np.ones((20,20),bool),40)
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img = np.random.uniform(size=(20, 20))
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result = median_filter(img, np.ones((20, 20), bool), 40)
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sorted = np.ravel(img)
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sorted.sort()
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min_acceptable = sorted[198]
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@@ -52,54 +55,60 @@ def test_02_02_median_bigger():
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assert (np.all(result >= min_acceptable))
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assert (np.all(result <= max_acceptable))
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def test_03_01_shape():
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'''Make sure the median filter is the expected octagonal shape'''
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radius = 5
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a_2 = int(radius / 2.414213)
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i,j = np.mgrid[-10:11,-10:11]
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octagon = np.ones((21,21), bool)
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i, j = np.mgrid[-10:11, -10:11]
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octagon = np.ones((21, 21), bool)
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#
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# constrain the octagon mask to be the points that are on
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# the correct side of the 8 edges
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#
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octagon[i < -radius] = False
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octagon[i > radius] = False
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octagon[i > radius] = False
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octagon[j < -radius] = False
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octagon[j > radius] = False
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octagon[i+j < -radius-a_2] = False
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octagon[j-i > radius+a_2] = False
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octagon[i+j > radius+a_2] = False
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octagon[i-j > radius+a_2] = False
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octagon[j > radius] = False
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octagon[i + j < -radius - a_2] = False
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octagon[j - i > radius + a_2] = False
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octagon[i + j > radius + a_2] = False
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octagon[i - j > radius + a_2] = False
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np.random.seed(0)
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img = np.random.uniform(size=(21,21))
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result = median_filter(img, np.ones((21,21),bool), radius)
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img = np.random.uniform(size=(21, 21))
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result = median_filter(img, np.ones((21, 21), bool), radius)
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sorted = img[octagon]
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sorted.sort()
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min_acceptable = sorted[len(sorted)/2-1]
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max_acceptable = sorted[len(sorted)/2+1]
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assert (result[10,10] >= min_acceptable)
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assert (result[10,10] <= max_acceptable)
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min_acceptable = sorted[len(sorted) / 2 - 1]
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max_acceptable = sorted[len(sorted) / 2 + 1]
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assert (result[10, 10] >= min_acceptable)
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assert (result[10, 10] <= max_acceptable)
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def test_04_01_half_masked():
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'''Make sure that the median filter can handle large masked areas.'''
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img = np.ones((20, 20))
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mask = np.ones((20, 20),bool)
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mask = np.ones((20, 20), bool)
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mask[10:, :] = False
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img[~ mask] = 2
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img[1, 1] = 0 # to prevent short circuit for uniform data.
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img[1, 1] = 0 # to prevent short circuit for uniform data.
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result = median_filter(img, mask, 5)
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# in partial coverage areas, the result should be only from the masked pixels
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# in partial coverage areas, the result should be only
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# from the masked pixels
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assert (np.all(result[:14, :] == 1))
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# in zero coverage areas, the result should be the lowest valud in the valid area
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# in zero coverage areas, the result should be the lowest
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# value in the valid area
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assert (np.all(result[15:, :] == np.min(img[mask])))
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def test_default_values():
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img = (np.random.random((20, 20)) * 255).astype(np.uint8)
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mask = np.ones((20, 20), dtype=np.uint8)
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result1 = median_filter(img, mask, radius=1, percent=50)
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result1 = median_filter(img, mask, radius=2, percent=50)
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result2 = median_filter(img)
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assert_array_equal(result1, result2)
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np.testing.assert_array_equal(result1, result2)
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if __name__ == "__main__":
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run_module_suite()
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np.testing.run_module_suite()
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