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import numpy as np
from scipy import ndimage
def extract_regions(adj_mat, corners, corner_sorted):
all_regions = list()
cur_idx = 0
corners = corners.astype(np.int)
nb_orders = _sort_neighours(adj_mat, corners)
while cur_idx is not None:
regions = _get_regions_for_corner(cur_idx, adj_mat, nb_orders)
all_regions.extend(regions)
cur_idx = _get_new_start(adj_mat, cur_idx, corners)
outwall_idx = get_outwall(all_regions, corners, corner_sorted)
all_regions.pop(outwall_idx)
# all_regions = filter_regions(all_regions) # only used for drawing visualization
# return all_regions
all_regions_coords = [corners[regions] for regions in all_regions]
return all_regions_coords
def get_outwall(all_regions, corners, corner_sorted):
"""
Find the outermost boundary loop, which should be discarded
"""
if corner_sorted:
regions_for_top_bot = np.nonzero([(0 in region and len(corners) - 1 in region) for region in all_regions])[0]
if len(regions_for_top_bot) == 1:
return regions_for_top_bot[0]
else:
areas = [_compute_region_area(corners[all_regions[idx]]) for idx in range(len(all_regions))]
max_idx = np.argmax(areas)
return max_idx
else:
areas = [_compute_region_area(corners[all_regions[idx]]) for idx in range(len(all_regions))]
max_idx = np.argmax(areas)
return max_idx
# def filter_regions(all_regions):
# areas = [_compute_region_area(corners[all_regions[idx]]) for idx in range(len(all_regions))]
# all_regions = [region for idx, region in enumerate(all_regions) if areas[idx] > 20]
# return all_regions
def _compute_region_area(region):
edge_map = np.zeros([256, 256])
for idx, c in enumerate(region[:-1]):
cv2.line(edge_map, tuple(c), tuple(region[idx + 1]), 1, 3)
reverse_edge_map = 1 - edge_map
label, num_features = ndimage.label(reverse_edge_map)
if num_features < 2:
return 0
# import pdb; pdb.set_trace()
# raise ValueError('Invalid region structure')
bg_label = label[0, 0]
num_labels = [(label == l).sum() for l in range(1, num_features + 1)]
num_labels[bg_label - 1] = 0
room_label = np.argmax(num_labels) + 1
area = (label == room_label).sum()
return area
def _get_regions_for_corner(cur_idx, adj_mat, nb_orders):
regions = list()
if adj_mat[cur_idx].sum() == 0:
assert ValueError("Zero-degree corner, should not reach here")
# elif adj_mat[cur_idx].sum() == 1: # remove the connection if only one neighbour
# other_idx = nb_orders[0]
# import pdb; pdb.set_trace()
# adj_mat[cur_idx, other_idx] = 0
else:
v_s = cur_idx
know_v_q = False
while v_s is not None:
if not know_v_q:
v_p, v_q = _find_wedge_nbs(v_s, nb_orders, adj_mat)
if v_p is None: # cannot find proper wedge, remove this corner
adj_mat[v_s, :] = 0
adj_mat[:, v_s] = 0
break
else:
assert v_q is not None, "v_q should be known here"
v_p = _find_wedge_third_v(v_q, v_s, nb_orders, adj_mat, dir=-1)
if v_p is None:
adj_mat[v_s, :] = 0
adj_mat[:, v_s] = 0
break
cur_region = [
v_p,
v_s,
]
# try:
assert adj_mat[v_p, v_s] == 1, "Wrong connection matrix!"
# except:
# import pdb; pdb.set_trace()
adj_mat[v_p, v_s] = 0
region_i = 0
closed_polygon = False
while v_q is not None: # tracking the current region
cur_region.append(v_q)
assert adj_mat[v_s, v_q] == 1, "Wrong connection matrix!"
adj_mat[v_s, v_q] = 0
# update the nb order list for the current v_s
if v_q == cur_region[0]: # get a closed polygon
closed_polygon = True
break
else:
v_p = cur_region[region_i + 1]
v_s = cur_region[region_i + 2]
v_q = _find_wedge_third_v(v_p, v_s, nb_orders, adj_mat, dir=1)
if v_q is None:
closed_polygon = False
break
region_i += 1
if closed_polygon: # find a closed region, keep iteration
regions.append(cur_region)
found_next = False
for temp_i in range(1, len(cur_region)):
if adj_mat[cur_region[temp_i], cur_region[temp_i - 1]] == 1:
found_next = True
v_s_idx = temp_i
break
if not found_next:
v_s = None
else:
v_s = cur_region[v_s_idx]
v_q = cur_region[v_s_idx - 1]
know_v_q = True
else: # no closed region, directly quit the search for the current v_s
break
return regions
def _find_wedge_nbs(v_s, nb_orders, adj_mat):
sorted_nbs = nb_orders[v_s]
start_idx = 0
while True:
if start_idx == -len(sorted_nbs):
return None, None
v_p, v_q = sorted_nbs[start_idx], sorted_nbs[start_idx - 1]
if adj_mat[v_p, v_s] == 1 and adj_mat[v_s, v_q] == 1:
return v_p, v_q
else:
start_idx -= 1
def _find_wedge_third_v(v1, v2, nb_orders, adj_mat, dir):
sorted_nbs = nb_orders[v2]
v1_idx = sorted_nbs.index(v1)
if dir == 1:
v3_idx = v1_idx - 1
while adj_mat[v2, sorted_nbs[v3_idx]] == 0:
if sorted_nbs[v3_idx] == v1:
return None
v3_idx -= 1
elif dir == -1:
v3_idx = v1_idx + 1 if v1_idx <= len(sorted_nbs) - 2 else 0
while adj_mat[sorted_nbs[v3_idx], v2] == 0:
if sorted_nbs[v3_idx] == v1:
return None
v3_idx = v3_idx + 1 if v3_idx <= len(sorted_nbs) - 2 else 0
else:
raise ValueError("unknown dir {}".format(dir))
return sorted_nbs[v3_idx]
def _get_new_start(adj_mat, cur_idx, corners):
for i in range(cur_idx, len(corners)):
if adj_mat[i].sum() > 0:
return i
return None
def _sort_neighours(adj_mat, corners):
nb_orders = dict()
for idx, c in enumerate(corners):
nb_ids = np.nonzero(adj_mat[idx])[0]
nb_degrees = [_compute_degree(c, corners[other_idx]) for other_idx in nb_ids]
degree_ranks = np.argsort(nb_degrees)
sort_nb_ids = [nb_ids[i] for i in degree_ranks]
nb_orders[idx] = sort_nb_ids
return nb_orders
def _compute_degree(c1, c2):
vec = (c2[0] - c1[0], -(c2[1] - c1[1])) # note that the y direction should be flipped (image coord system)
cos = (vec[0] * 1 + vec[1] * 0) / np.sqrt(vec[0] ** 2 + vec[1] ** 2)
theta = np.arccos(cos)
if vec[1] < 0:
theta = np.pi * 2 - theta
return theta
def preprocess_pg(pg):
corners = pg["corners"]
edge_pairs = pg["edges"]
adj_mat = np.zeros([len(corners), len(corners)])
for edge_pair in edge_pairs:
c1, c2 = edge_pair
adj_mat[c1][c2] = 1
adj_mat[c2][c1] = 1
return corners, adj_mat
def cleanup_pg(pg):
corners = pg["corners"]
edge_pairs = pg["edges"]
adj_list = [[] for _ in range(len(corners))]
for edge_pair in edge_pairs:
adj_list[edge_pair[0]].append(edge_pair[1])
adj_list[edge_pair[1]].append(edge_pair[0])
for idx in range(len(corners)):
if len(adj_list[idx]) < 2:
_remove_corner(idx, adj_list)
new_corners = list()
removed_ids = list()
old_to_new = dict()
counter = 0
for c_i in range(len(adj_list)):
if len(adj_list[c_i]) > 0:
assert len(adj_list[c_i]) >= 2
new_corners.append(corners[c_i])
old_to_new[c_i] = counter
counter += 1
else:
removed_ids.append(c_i)
new_edges = list()
for c_i_1 in range(len(adj_list)):
for c_i_2 in adj_list[c_i_1]:
if c_i_1 < c_i_2:
new_edge = (old_to_new[c_i_1], old_to_new[c_i_2])
new_edges.append(new_edge)
new_corners = np.array(new_corners)
new_edges = np.array(new_edges)
new_pg = {
"corners": new_corners,
"edges": new_edges,
}
return new_pg
def _remove_corner(idx, adj_list):
assert len(adj_list[idx]) <= 1
if len(adj_list[idx]) == 0:
return
nbs = list(adj_list[idx])
adj_list[idx].pop(0)
for nb in nbs:
adj_list[nb].remove(idx)
if len(adj_list[nb]) < 2:
_remove_corner(nb, adj_list)
def get_regions_from_pg(pg, corner_sorted):
pg = cleanup_pg(pg)
corners, adj_mat = preprocess_pg(pg)
if len(corners) == 0:
regions = []
else:
regions = extract_regions(adj_mat, corners, corner_sorted)
return regions
def convert_annot(annot):
corners = np.array(list(annot.keys()))
corners_mapping = {tuple(c): idx for idx, c in enumerate(corners)}
edges = set()
for corner, connections in annot.items():
idx_c = corners_mapping[tuple(corner)]
for other_c in connections:
idx_other_c = corners_mapping[tuple(other_c)]
if (idx_c, idx_other_c) not in edges and (idx_other_c, idx_c) not in edges:
edges.add((idx_c, idx_other_c))
edges = np.array(list(edges))
pg_data = {"corners": corners, "edges": edges}
return pg_data
colors_12 = [
"#DCECC9",
"#B3DDCC",
"#8ACDCE",
"#62BED2",
"#46AACE",
"#3D91BE",
"#3677AE",
"#2D5E9E",
"#24448E",
"#1C2B7F",
"#162165",
"#11174B",
]
def plot_floorplan_with_regions(regions, corners, edges, scale):
colors = colors_12[:8]
regions = [(region * scale / 256).round().astype(np.int) for region in regions]
corners = (corners * scale / 256).round().astype(np.int)
# define the color map
room_colors = [colors[i % 8] for i in range(len(regions))]
colorMap = [tuple(int(h[i : i + 2], 16) for i in (1, 3, 5)) for h in room_colors]
colorMap = np.asarray(colorMap)
if len(regions) > 0:
colorMap = np.concatenate([np.full(shape=(1, 3), fill_value=0), colorMap], axis=0).astype(np.uint8)
else:
colorMap = np.concatenate([np.full(shape=(1, 3), fill_value=0)], axis=0).astype(np.uint8)
# when using opencv, we need to flip, from RGB to BGR
colorMap = colorMap[:, ::-1]
alpha_channels = np.zeros(colorMap.shape[0], dtype=np.uint8)
alpha_channels[1 : len(regions) + 1] = 150
colorMap = np.concatenate([colorMap, np.expand_dims(alpha_channels, axis=-1)], axis=-1)
room_map = np.zeros([scale, scale]).astype(np.int32)
# sort regions
if len(regions) > 1:
avg_corner = [region.mean(axis=0) for region in regions]
ind = np.argsort(np.array(avg_corner)[:, 0], axis=0)
regions = np.array(regions)[ind]
for idx, polygon in enumerate(regions):
cv2.fillPoly(room_map, [polygon], color=idx + 1)
image = colorMap[room_map.reshape(-1)].reshape((scale, scale, 4))
pointColor = tuple((np.array([0.95, 0.3, 0.3, 1]) * 255).astype(np.uint8).tolist())
for point in corners:
cv2.circle(image, tuple(point), color=pointColor, radius=12, thickness=-1)
cv2.circle(image, tuple(point), color=(255, 255, 255, 255), radius=6, thickness=-1)
for edge in edges:
c1 = corners[edge[0]]
c2 = corners[edge[1]]
cv2.line(image, tuple(c1), tuple(c2), color=(0, 0, 0, 255), thickness=3)
return image
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