File size: 11,878 Bytes
9cc92da | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 | """Data for the bold-line intersection detector (CenterNet style) on v5 canvases.
Ground truth: bold 5 mm lines lie at U = ou + 5i, V = ov + 5j; with a = (U - ou) / 5, b = (V - ov) / 5
from the dense uv map, an intersection is found in every 2 x 2 pixel cell by one Newton step. Nodes
inside the grid area are kept; a border lying on a bold line keeps its nodes, at other borders nodes
closer than MARGIN_TOL_MM are dropped.
Windows: mostly >= 44 of 49 patches on the sheet; EDGE_WINDOW_PROB of them show the sheet border.
Occlusions: 0-2 blobs (blot, blur, noise, glare); the targets stay unchanged.
Targets: 28 x 28 cells of 8 px: heat (Gaussian around each node), offset inside the cell, node flag.
"""
import math
import cv2
import numpy as np
import canvas
import crops
CROP_SIZE = crops.CROP_SIZE
CELL = 8
CELLS = CROP_SIZE // CELL
HEAT_SIGMA = 0.7
EDGE_WINDOW_PROB = 0.3
EDGE_MIN_VALID = 20
MARGIN_TOL_MM = 0.3
OCCLUSION_COUNT_P = (0.2, 0.5, 0.3)
OCCLUSION_AREA_PATCHES = (0.6, 2.2)
OCCLUSION_KINDS = ("blot", "blur", "noise", "glare")
PLAIN_KEEP_EVERY = 3 # train: every 3rd "plain_1mm" sheet (answer: no nodes)
KIND_CODES = {"red": 0, "dots": 1, "plain_1mm": 2}
CH_HEAT, CH_OFF_X, CH_OFF_Y, CH_POS = range(4)
def canvas_points(uv_mm, valid, texture_info):
"""Bold-line intersections in a canvas. -> [K, 2] x, y (canvas px)."""
grid = texture_info["grid"]
if grid["kind"] == "plain_1mm":
return np.zeros((0, 2))
ou, ov = grid["bold_line_mm"]
a = (uv_mm[..., 0].astype(np.float64) - ou) / 5.0
b = (uv_mm[..., 1].astype(np.float64) - ov) / 5.0
ok = valid[:-1, :-1] & valid[:-1, 1:] & valid[1:, :-1] & valid[1:, 1:]
ac = 0.25 * (a[:-1, :-1] + a[:-1, 1:] + a[1:, :-1] + a[1:, 1:])
bc = 0.25 * (b[:-1, :-1] + b[:-1, 1:] + b[1:, :-1] + b[1:, 1:])
ax = 0.5 * (a[:-1, 1:] - a[:-1, :-1] + a[1:, 1:] - a[1:, :-1])
ay = 0.5 * (a[1:, :-1] - a[:-1, :-1] + a[1:, 1:] - a[:-1, 1:])
bx = 0.5 * (b[:-1, 1:] - b[:-1, :-1] + b[1:, 1:] - b[1:, :-1])
by = 0.5 * (b[1:, :-1] - b[:-1, :-1] + b[1:, 1:] - b[:-1, 1:])
det = ax * by - ay * bx
i, j = np.round(ac), np.round(bc)
da, db = i - ac, j - bc
with np.errstate(divide="ignore", invalid="ignore"):
dx = (by * da - ay * db) / det
dy = (-bx * da + ax * db) / det
hit = ok & (np.abs(det) > 1e-9) & (np.abs(dx) <= 0.5) & (np.abs(dy) <= 0.5)
ys, xs = np.nonzero(hit)
if len(ys) == 0:
return np.zeros((0, 2))
px = xs + 0.5 + dx[ys, xs]
py = ys + 0.5 + dy[ys, xs]
ii, jj = i[ys, xs], j[ys, xs]
u, v = ou + 5.0 * ii, ov + 5.0 * jj
x0, y0, x1, y1 = grid["area_mm"]
bold = grid["edges_bold"]
width_mm, height_mm = texture_info["size_mm"]
t = MARGIN_TOL_MM
lo_u = max(x0 - t if bold[0] else x0 + t, t)
lo_v = max(y0 - t if bold[1] else y0 + t, t)
hi_u = min(x1 + t if bold[2] else x1 - t, width_mm - t)
hi_v = min(y1 + t if bold[3] else y1 - t, height_mm - t)
inside = (u > lo_u) & (u < hi_u) & (v > lo_v) & (v < hi_v)
keys = np.stack([ii, jj], axis=1)[inside]
if len(keys) == 0:
return np.zeros((0, 2))
# a node on the border of two cells is found twice: average
_, group = np.unique(keys, axis=0, return_inverse=True)
group = group.reshape(-1)
sums = np.zeros((group.max() + 1, 2))
np.add.at(sums, group, np.stack([px, py], axis=1)[inside])
return sums / np.bincount(group)[:, None]
def points_to_crop(points, window):
x0, y0, s = window
x = (points[:, 0] + 0.5 - x0) / s - 0.5
y = (points[:, 1] + 0.5 - y0) / s - 0.5
keep = (x >= -0.5) & (x < CROP_SIZE - 0.5) & (y >= -0.5) & (y < CROP_SIZE - 0.5)
return np.stack([x, y], axis=1)[keep]
def _blob_mask(rng, size):
"""Soft rotated ellipse with a wobbly border, 0..1."""
area = rng.uniform(*OCCLUSION_AREA_PATCHES) * crops.PATCH_SIZE ** 2
aspect = rng.uniform(1.0, 2.5)
ra = math.sqrt(area * aspect / math.pi)
rb = ra / aspect
cx, cy = rng.uniform(0.1, 0.9) * size, rng.uniform(0.1, 0.9) * size
angle = rng.uniform(0, math.pi)
soft = rng.uniform(0.8, 3.0)
reach = int(math.ceil(1.4 * ra + 3 * soft + 2))
xa, xb = max(0, int(cx) - reach), min(size, int(cx) + reach + 1)
ya, yb = max(0, int(cy) - reach), min(size, int(cy) + reach + 1)
yy, xx = np.mgrid[ya:yb, xa:xb].astype(np.float32)
xr = (xx - cx) * math.cos(angle) + (yy - cy) * math.sin(angle)
yr = -(xx - cx) * math.sin(angle) + (yy - cy) * math.cos(angle)
radius = np.sqrt((xr / ra) ** 2 + (yr / rb) ** 2)
coarse = rng.normal(0, 1, (6, 6)).astype(np.float32)
wobble = cv2.resize(coarse, (xb - xa, yb - ya), interpolation=cv2.INTER_CUBIC) * rng.uniform(0.1, 0.3)
mask = np.zeros((size, size), np.float32)
mask[ya:yb, xa:xb] = (radius + wobble < 1.0).astype(np.float32)
return cv2.GaussianBlur(mask, (0, 0), soft)
def _smooth_field(rng, size, cells, amplitude):
coarse = rng.normal(0, 1, (cells, cells)).astype(np.float32)
return cv2.resize(coarse, (size, size), interpolation=cv2.INTER_CUBIC) * amplitude
def occlude(rng, crop_bgr):
"""0-2 occlusion blobs."""
size = crop_bgr.shape[0]
count = int(rng.choice(len(OCCLUSION_COUNT_P), p=OCCLUSION_COUNT_P))
image = crop_bgr.astype(np.float32)
for _ in range(count):
alpha = _blob_mask(rng, size)
kind = OCCLUSION_KINDS[int(rng.integers(len(OCCLUSION_KINDS)))]
if kind == "blot":
color = np.array([[150, 60, 25], [30, 30, 35], [45, 85, 140], [60, 60, 170],
[20, 50, 90]][int(rng.integers(5))], np.float32)
color = color * rng.uniform(0.7, 1.3)
layer = color[None, None, :] * (1.0 + _smooth_field(rng, size, 12, 0.15))[..., None]
layer += rng.normal(0, 6, (size, size, 1)).astype(np.float32)
strength = rng.uniform(0.8, 1.0)
elif kind == "blur":
layer = cv2.GaussianBlur(image, (0, 0), rng.uniform(5.0, 12.0))
strength = 1.0
elif kind == "noise":
sigma = rng.uniform(45.0, 100.0)
grain = rng.normal(0, sigma, (size, size, 3 if rng.random() < 0.5 else 1)).astype(np.float32)
layer = cv2.GaussianBlur(image, (0, 0), 1.5) + grain
strength = 1.0
else: # glare: a saturated core fading out
level = rng.uniform(235, 255)
tint = np.array([1.0, rng.uniform(0.97, 1.0), rng.uniform(0.95, 1.0)], np.float32)
layer = np.full_like(image, level) * tint
alpha = np.clip(cv2.GaussianBlur(alpha, (0, 0), rng.uniform(3.0, 8.0)) * 1.4, 0, 1)
strength = rng.uniform(0.9, 1.0)
a = (alpha * strength)[..., None]
image = image * (1 - a) + layer * a
return np.clip(image, 0, 255).astype(np.uint8)
def make_targets(points_crop):
"""-> [28, 28, 4] float32: heat, offset x, offset y, node flag."""
target = np.zeros((CELLS, CELLS, 4), np.float32)
if len(points_crop) == 0:
return target
pc = (points_crop + 0.5) / CELL
cell = np.clip(np.floor(pc).astype(int), 0, CELLS - 1)
offset = np.clip(pc - cell, 0.0, 1.0 - 1e-6)
grid = np.arange(CELLS)
heat = np.zeros((CELLS, CELLS), np.float32)
for (cx, cy) in cell:
heat = np.maximum(heat, np.exp(-((grid[None, :] - cx) ** 2 + (grid[:, None] - cy) ** 2) / (2 * HEAT_SIGMA ** 2)))
for (cx, cy), (ox, oy) in zip(cell, offset):
heat[cy, cx] = 1.0
target[cy, cx, CH_OFF_X] = ox
target[cy, cx, CH_OFF_Y] = oy
target[cy, cx, CH_POS] = 1.0
target[..., CH_HEAT] = heat
return target
def train_selection(directory, indices):
"""No "dots" sheets (their dots are invisible at 3.5-7.5 px/mm), every PLAIN_KEEP_EVERY-th "plain_1mm" one."""
kind = {i: canvas.read_texture_info(directory, i)["grid"]["kind"] for i in indices}
keep_plain = set([i for i in indices if kind[i] == "plain_1mm"][::PLAIN_KEEP_EVERY])
return [i for i in indices if kind[i] == "red" or i in keep_plain]
def make_sample(rng, directory, index, cache):
"""-> (crop BGR uint8, target [28, 28, 4], grid kind code)."""
image, uv_mm, valid = canvas.read_sample(directory, index)
texture = canvas.read_texture_info(directory, index)
if rng.random() < EDGE_WINDOW_PROB:
window = crops.choose_window(rng, uv_mm, valid, image.shape[0], EDGE_MIN_VALID, crops.MIN_VALID_PATCHES)
else:
window = crops.choose_window(rng, uv_mm, valid, image.shape[0])
crop = occlude(rng, crops.crop_image(image, window))
if index not in cache:
cache[index] = canvas_points(uv_mm, valid, texture)
return crop, make_targets(points_to_crop(cache[index], window)), KIND_CODES[texture["grid"]["kind"]]
class PointDataset:
"""train: new random window and occlusions every call; otherwise one seeded window per index."""
def __init__(self, directory, indices, train=True, fixed_seed=777):
self.directory, self.indices, self.train, self.fixed_seed = directory, list(indices), train, fixed_seed
self.rng = None
self.cache = {}
def __len__(self):
return len(self.indices)
def __getitem__(self, position):
import torch
index = self.indices[position]
if self.train:
if self.rng is None:
self.rng = np.random.default_rng(torch.initial_seed() % (2 ** 63))
rng = self.rng
else:
rng = np.random.default_rng([self.fixed_seed, index])
crop, target, kind = make_sample(rng, self.directory, index, self.cache)
rgb = cv2.cvtColor(crop, cv2.COLOR_BGR2RGB)
return torch.from_numpy(np.ascontiguousarray(rgb.transpose(2, 0, 1))), torch.from_numpy(target), torch.tensor(kind)
def decode(heat_prob, offsets, threshold):
"""3 x 3 local maxima above threshold -> [K, 2] crop px."""
padded = np.pad(heat_prob, 1, constant_values=-1.0)
neighbours = np.max(np.stack([padded[dy:dy + CELLS, dx:dx + CELLS] for dy in range(3) for dx in range(3)]), axis=0)
ys, xs = np.nonzero((heat_prob >= neighbours) & (heat_prob >= threshold))
return np.stack([(xs + offsets[ys, xs, 0]) * CELL - 0.5, (ys + offsets[ys, xs, 1]) * CELL - 0.5], axis=1)
def target_points(target):
ys, xs = np.nonzero(target[..., CH_POS] > 0.5)
return np.stack([(xs + target[ys, xs, CH_OFF_X]) * CELL - 0.5, (ys + target[ys, xs, CH_OFF_Y]) * CELL - 0.5], axis=1)
def match_count(predicted, truth, radius):
"""Greedy one-to-one matching by distance -> number of matched pairs."""
if len(predicted) == 0 or len(truth) == 0:
return 0
distance = np.hypot(predicted[:, None, 0] - truth[None, :, 0], predicted[:, None, 1] - truth[None, :, 1])
pi, ti = np.nonzero(distance <= radius)
used_p, used_t = set(), set()
for k in np.argsort(distance[pi, ti]):
if pi[k] not in used_p and ti[k] not in used_t:
used_p.add(pi[k])
used_t.add(ti[k])
return len(used_p)
def f1_scores(heat_prob, offsets, targets, kinds, thresholds, radius):
"""Precision / recall / F1 on "red" crops per threshold and the best F1."""
result, best = {}, -1.0
for threshold in thresholds:
tp = fp = fn = 0
for n in np.nonzero(kinds == KIND_CODES["red"])[0]:
predicted = decode(heat_prob[n], offsets[n], threshold)
truth = target_points(targets[n])
m = match_count(predicted, truth, radius)
tp, fp, fn = tp + m, fp + len(predicted) - m, fn + len(truth) - m
precision, recall = tp / max(tp + fp, 1), tp / max(tp + fn, 1)
f1 = 2 * precision * recall / max(precision + recall, 1e-12)
result["t{:02d}".format(int(round(threshold * 100)))] = (precision, recall, f1)
best = max(best, f1)
result["best_f1"] = best
return result
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