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Docstring changes and typos
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@@ -19,10 +19,10 @@ def DW_matrices(graph):
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Returns
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-------
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D : csc_matrix
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The diagonal matrix of the graph. `D[i, i]` is the sum of weights of
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The diagonal matrix of the graph. ``D[i, i]`` is the sum of weights of
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all edges incident on `i`. All other enteries are `0`.
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W : csc_matrix
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The weight matrix of the graph. `W[i, j]` is the weight of the edge
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The weight matrix of the graph. ``W[i, j]`` is the weight of the edge
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joining `i` to `j`.
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"""
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# sparse.eighsh is most efficient with CSC-formatted input
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@@ -62,7 +62,7 @@ def ncut_cost(cut, D, W):
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# D has elements only along the diagonal, one per node, so we can directly
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# index the data attribute with cut.
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assoc_a = D.data[cut].sum()
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assoc_b = D.data[np.logical_not(cut)].sum()
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assoc_b = D.data[~cut].sum()
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return (cut_cost / assoc_a) + (cut_cost / assoc_b)
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@@ -6,7 +6,7 @@ cimport numpy as cnp
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import numpy as np
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def argmin2(cnp.float64_t[:] array):
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def argmin2(cnp.double_t[:] array):
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"""Return the index of the 2nd smallest value in an array.
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Parameters
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@@ -89,11 +89,11 @@ def cut_normalized(labels, rag, thresh=0.001, num_cuts=10):
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Returns
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-------
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out : ndarray
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The new labelled array.
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The new labeled array.
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Examples
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--------
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>>> from skimage import data, graph, segmentation, color, io
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>>> from skimage import data, graph, segmentation
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>>> img = data.lena()
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>>> labels = segmentation.slic(img, compactness=30, n_segments=400)
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>>> rag = graph.rag_mean_color(img, labels, mode='similarity')
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@@ -103,7 +103,7 @@ def cut_normalized(labels, rag, thresh=0.001, num_cuts=10):
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----------
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.. [1] Shi, J.; Malik, J., "Normalized cuts and image segmentation",
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Pattern Analysis and Machine Intelligence,
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IEEE Transactions on , vol.22, no.8, pp.888,905, Aug 2000
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IEEE Transactions on , vol.22, no.8, pp.888,905, August 2000
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"""
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map_array = np.arange(labels.max() + 1)
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@@ -138,7 +138,7 @@ def partition_by_cut(cut, rag):
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def get_min_ncut(ev, d, w, num_cuts):
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"""Threshold an eigen vector evenly, to determine minimum ncut.
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"""Threshold an eigenvector evenly, to determine minimum ncut.
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Parameters
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----------
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@@ -174,7 +174,7 @@ def get_min_ncut(ev, d, w, num_cuts):
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def _ncut_relabel(rag, thresh, num_cuts, map_array):
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"""Perform Normalized Graph cut on the Region Adjacency Graph.
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Recursively partition the graph into 2, untill further subdividing
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Recursively partition the graph into 2, until further subdivision
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yields a cut greather than `thresh` or such a cut cannot be computed.
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For such a subgraph, indices to labels of all its nodes map to a single
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unique value.
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@@ -212,7 +212,7 @@ def _ncut_relabel(rag, thresh, num_cuts, map_array):
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stop = True
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if not stop:
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# Pick second smalles eigen vector.
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# Pick second smalles eigenvector.
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# Refer Shi & Malik 2001, Section 3.2.3, Page 893
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vals, vectors = np.real(vals), np.real(vectors)
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index2 = _ncut_cy.argmin2(vals)
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@@ -146,17 +146,17 @@ def rag_mean_color(image, labels, connectivity=2, mode='dissimilarity',
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The strategy to assign edge weights.
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'similarity' : The weight between two adjacent regions is the
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:math:`|c_1 - c_2|`, where :math:`c1` and :math:`c2` are the mean
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:math:`|c_1 - c_2|`, where :math:`c_1` and :math:`c_2` are the mean
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colors of the two regions. It represents how different two regions
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are.
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'dissimilarity' : The weight between two adjacent is
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:math:`e^{-d^2/sigma}` where :math:`d=|c_1 - c_2|`, where
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:math:`c1` and :math:`c2` are the mean colors of the two regions.
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:math:`c_1` and :math:`c_2` are the mean colors of the two regions.
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It represents how similar two regions are.
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sigma : float, optional
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Used for computation when `mode='dissimilarity'`. It governs how close
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to each other two colors should be, for their corresponding edge
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Used for computation when `mode` is "dissimilarity". It governs how
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close to each other two colors should be, for their corresponding edge
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weight to be significant. A very large value of `sigma` could make
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any two colors behave as though they were similar.
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@@ -95,4 +95,4 @@ def test_cut_normalized():
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def test_rag_error():
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img = np.zeros((10, 10, 3), dtype='uint8')
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labels = np.zeros((10, 10), dtype='uint8')
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testing.assert_raises(ValueError, graph.rag_mean_color,img, labels, 2, 'non existant mode')
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testing.assert_raises(ValueError, graph.rag_mean_color, img, labels, 2, 'non existant mode')
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