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Added example for region boundary merging
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@@ -1,36 +1,78 @@
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from skimage import data, io, segmentation, color
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"""
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============================================
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Hierarchical Merging of Region Boundary RAGs
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============================================
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TODO: Description
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"""
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from skimage import data, segmentation, filters, color
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from skimage.future import graph
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import numpy as np
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from matplotlib import pyplot as plt
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def weight_boundary(graph, src, dst, n):
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if graph.has_edge(src, n) and graph.has_edge(dst, n):
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count_src = graph[src][n]['count']
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count_dst = graph[dst][n]['count']
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"""
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Callback to handle merging of nodes of a region boundary RAG.
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weight_src = graph[src][n]['weight']
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weight_dst = graph[dst][n]['weight']
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This function computes the `"weight"` and the count `"count"`
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attributes of the edge between `n` and the node formed after
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merging `src` and `dst`.
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count = count_src + count_dst
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return {
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'count': count,
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'weight': (count_src*weight_src + count_dst*weight_dst)/count
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}
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elif graph.has_edge(src, n):
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return graph[src][n]
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elif graph.has_edge(dst, n):
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return graph[dst][n]
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Parameters
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----------
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graph : RAG
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The graph under consideration.
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src, dst : int
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The vertices in `graph` to be merged.
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n : int
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A neighbor of `src` or `dst` or both.
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Returns
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-------
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data : dict
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A dictionary with the `"weight"` and `"count"` attributes to be
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assigned for the merged node.
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"""
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default = {'weight': 0.0, 'count': 0}
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count_src = graph[src].get(n, default)['count']
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count_dst = graph[dst].get(n, default)['count']
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weight_src = graph[src].get(n, default)['weight']
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weight_dst = graph[dst].get(n, default)['weight']
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count = count_src + count_dst
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return {
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'count': count,
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'weight': (count_src*weight_src + count_dst*weight_dst)/count
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}
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def merge_boundary(graph, src, dst):
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pass
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img = data.coffee()
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edges = filters.sobel(color.rgb2gray(img))
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labels = segmentation.slic(img, compactness=30, n_segments=400)
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g = graph.rag_mean_color(img, labels)
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g = graph.rag_boundary(labels, edges)
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labels2 = graph.merge_hierarchical(labels, g, thresh=40, rag_copy=False,
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graph.show_rag(labels, g, img)
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plt.title('Initial RAG')
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labels2 = graph.merge_hierarchical(labels, g, thresh=0.08, rag_copy=False,
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in_place_merge=True,
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merge_func=merge_boundary,
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weight_func=weight_boundary)
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graph.show_rag(labels, g, img)
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plt.title('RAG after hierarchical merging')
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plt.figure()
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out = color.label2rgb(labels2, img, kind='avg')
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plt.imshow(out)
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plt.title('Final segmentation')
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plt.show()
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@@ -23,29 +23,30 @@ import numpy as np
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def max_edge(g, src, dst, n):
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"""Callback to handle merging nodes by choosing maximum weight.
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Returns either the weight between (`src`, `n`) or (`dst`, `n`)
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in `g` or the maximum of the two when both exist.
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Returns a dictionary with `"weight"` set as either the weight between
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(`src`, `n`) or (`dst`, `n`) in `graph` or the maximum of the two when
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both exist.
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Parameters
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----------
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g : RAG
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graph : RAG
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The graph under consideration.
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src, dst : int
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The vertices in `g` to be merged.
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The verices in `graph` to be merged.
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n : int
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A neighbor of `src` or `dst` or both.
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Returns
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-------
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weight : float
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The weight between (`src`, `n`) or (`dst`, `n`) in `g` or the
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maximum of the two when both exist.
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data : dict
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A dict with the `"weight"` attribute set the weight between
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(`src`, `n`) or (`dst`, `n`) in `graph` or the maximum of the two when
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both exist.
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"""
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w1 = g[n].get(src, {'weight': -np.inf})['weight']
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w2 = g[n].get(dst, {'weight': -np.inf})['weight']
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return max(w1, w2)
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return {'weight': max(w1, w2)}
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def display(g, title):
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@@ -31,13 +31,14 @@ def _weight_mean_color(graph, src, dst, n):
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Returns
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-------
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weight : float
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The absolute difference of the mean color between node `dst` and `n`.
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data : dict
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A dictionary with the `"weight"` attribute set as the absolute
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difference of the mean color between node `dst` and `n`.
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"""
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diff = graph.node[dst]['mean color'] - graph.node[n]['mean color']
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diff = np.linalg.norm(diff)
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return diff
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return {'weight': diff}
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def merge_mean_color(graph, src, dst):
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@@ -62,7 +63,7 @@ img = data.coffee()
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labels = segmentation.slic(img, compactness=30, n_segments=400)
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g = graph.rag_mean_color(img, labels)
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labels2 = graph.merge_hierarchical(labels, g, thresh=40, rag_copy=False,
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labels2 = graph.merge_hierarchical(labels, g, thresh=35, rag_copy=False,
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in_place_merge=True,
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merge_func=merge_mean_color,
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weight_func=_weight_mean_color)
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@@ -50,8 +50,9 @@ def _edge_generator_from_csr(csr_matrix):
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def min_weight(graph, src, dst, n):
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"""Callback to handle merging nodes by choosing minimum weight.
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Returns either the weight between (`src`, `n`) or (`dst`, `n`)
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in `graph` or the minimum of the two when both exist.
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Returns a dictionary with `"weight"` set as either the weight between
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(`src`, `n`) or (`dst`, `n`) in `graph` or the minimum of the two when
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both exist.
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Parameters
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----------
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@@ -64,9 +65,10 @@ def min_weight(graph, src, dst, n):
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Returns
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-------
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weight : float
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The weight between (`src`, `n`) or (`dst`, `n`) in `graph` or the
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minimum of the two when both exist.
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data : dict
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A dict with the `"weight"` attribute set the weight between
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(`src`, `n`) or (`dst`, `n`) in `graph` or the minimum of the two when
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both exist.
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"""
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