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landmarkdiff/synthetic/tps_warp.py
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| 1 |
+
"""TPS warping for synthetic pair generation.
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| 2 |
+
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| 3 |
+
Only warps deformable tissue - rigid structures (teeth, sclera) get
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| 4 |
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rigid translation instead. Prevents "rubber teeth" from naive TPS.
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| 5 |
+
"""
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| 6 |
+
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| 7 |
+
from __future__ import annotations
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| 8 |
+
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| 9 |
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import cv2
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| 10 |
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import numpy as np
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| 11 |
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| 12 |
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| 13 |
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def compute_tps_transform(
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| 14 |
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src_pts: np.ndarray,
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dst_pts: np.ndarray,
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| 16 |
+
) -> cv2.ThinPlateSplineShapeTransformer:
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| 17 |
+
"""Fit a TPS transform from src to dst points."""
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| 18 |
+
src = src_pts.reshape(1, -1, 2).astype(np.float32)
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| 19 |
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dst = dst_pts.reshape(1, -1, 2).astype(np.float32)
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| 20 |
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matches = [cv2.DMatch(i, i, 0) for i in range(len(src_pts))]
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| 21 |
+
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| 22 |
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tps = cv2.createThinPlateSplineShapeTransformer()
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tps.estimateTransformation(dst, src, matches)
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return tps
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+
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| 27 |
+
def _subsample_control_points(
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src: np.ndarray,
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dst: np.ndarray,
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| 30 |
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max_points: int = 80,
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| 31 |
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anchor_stride: int = 8,
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| 32 |
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) -> tuple[np.ndarray, np.ndarray]:
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| 33 |
+
"""Keep all displaced points + sparse anchors. ~80 pts instead of 478, ~30x faster."""
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| 34 |
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displacements = np.linalg.norm(dst - src, axis=1)
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| 35 |
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displaced_mask = displacements > 0.5 # moved by > 0.5px
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| 36 |
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displaced_idx = np.where(displaced_mask)[0]
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| 37 |
+
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| 38 |
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# Add sparse anchors from non-displaced landmarks
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| 39 |
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non_displaced_idx = np.where(~displaced_mask)[0]
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| 40 |
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anchor_idx = non_displaced_idx[::anchor_stride]
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| 41 |
+
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| 42 |
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selected = np.concatenate([displaced_idx, anchor_idx])
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| 43 |
+
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| 44 |
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# If still too many, subsample anchors more aggressively
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| 45 |
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if len(selected) > max_points:
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n_anchors = max_points - len(displaced_idx)
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| 47 |
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if n_anchors > 0:
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| 48 |
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step = max(1, len(non_displaced_idx) // n_anchors)
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| 49 |
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anchor_idx = non_displaced_idx[::step][:n_anchors]
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| 50 |
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selected = np.concatenate([displaced_idx, anchor_idx])
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| 51 |
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else:
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| 52 |
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selected = displaced_idx[:max_points]
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| 53 |
+
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| 54 |
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selected = np.unique(selected)
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| 55 |
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return src[selected], dst[selected]
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| 56 |
+
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| 57 |
+
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| 58 |
+
def warp_image_tps(
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| 59 |
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image: np.ndarray,
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| 60 |
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src_landmarks: np.ndarray,
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| 61 |
+
dst_landmarks: np.ndarray,
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| 62 |
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rigid_mask: np.ndarray | None = None,
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| 63 |
+
) -> np.ndarray:
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| 64 |
+
"""Apply TPS warp to an image with optional rigid region preservation."""
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| 65 |
+
h, w = image.shape[:2]
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| 66 |
+
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| 67 |
+
src_pts = src_landmarks.astype(np.float32)
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| 68 |
+
dst_pts = dst_landmarks.astype(np.float32)
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| 69 |
+
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| 70 |
+
# Subsample control points for speed (478 -> ~80)
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| 71 |
+
src_sub, dst_sub = _subsample_control_points(src_pts, dst_pts)
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| 72 |
+
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| 73 |
+
# Compute TPS coefficients on subsampled points
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| 74 |
+
map_x, map_y = _compute_tps_map(src_sub, dst_sub, w, h)
|
| 75 |
+
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| 76 |
+
# Warp the image
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| 77 |
+
warped = cv2.remap(
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| 78 |
+
image,
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| 79 |
+
map_x.astype(np.float32),
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| 80 |
+
map_y.astype(np.float32),
|
| 81 |
+
interpolation=cv2.INTER_LINEAR,
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| 82 |
+
borderMode=cv2.BORDER_REFLECT_101,
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| 83 |
+
)
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| 84 |
+
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| 85 |
+
if rigid_mask is not None:
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| 86 |
+
# For rigid regions, compute mean translation and apply rigidly
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| 87 |
+
rigid_translation = _compute_rigid_translation(src_pts, dst_pts, rigid_mask, w, h)
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| 88 |
+
rigid_warped = _apply_rigid_translation(image, rigid_translation)
|
| 89 |
+
|
| 90 |
+
# Composite: use rigid warp in rigid regions, TPS elsewhere
|
| 91 |
+
mask_f = rigid_mask.astype(np.float32)
|
| 92 |
+
if len(mask_f.shape) == 2:
|
| 93 |
+
mask_f = np.stack([mask_f] * 3, axis=-1)
|
| 94 |
+
mask_f = mask_f / 255.0 if mask_f.max() > 1 else mask_f
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| 95 |
+
warped = (rigid_warped * mask_f + warped * (1 - mask_f)).astype(np.uint8)
|
| 96 |
+
|
| 97 |
+
return warped
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| 98 |
+
|
| 99 |
+
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| 100 |
+
def _compute_tps_map(
|
| 101 |
+
src: np.ndarray,
|
| 102 |
+
dst: np.ndarray,
|
| 103 |
+
width: int,
|
| 104 |
+
height: int,
|
| 105 |
+
) -> tuple[np.ndarray, np.ndarray]:
|
| 106 |
+
"""Build remap arrays from TPS control points via RBF interpolation."""
|
| 107 |
+
# Displacement at control points
|
| 108 |
+
dx = dst[:, 0] - src[:, 0]
|
| 109 |
+
dy = dst[:, 1] - src[:, 1]
|
| 110 |
+
|
| 111 |
+
# Create grid
|
| 112 |
+
grid_x, grid_y = np.meshgrid(np.arange(width), np.arange(height))
|
| 113 |
+
grid_x = grid_x.astype(np.float64)
|
| 114 |
+
grid_y = grid_y.astype(np.float64)
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| 115 |
+
|
| 116 |
+
# RBF interpolation using TPS kernel: r^2 * log(r)
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| 117 |
+
map_x = grid_x.copy()
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| 118 |
+
map_y = grid_y.copy()
|
| 119 |
+
|
| 120 |
+
n = len(src)
|
| 121 |
+
if n == 0:
|
| 122 |
+
return map_x, map_y
|
| 123 |
+
|
| 124 |
+
# Solve TPS system for x and y displacements
|
| 125 |
+
weights_x = _solve_tps_weights(src, dx)
|
| 126 |
+
weights_y = _solve_tps_weights(src, dy)
|
| 127 |
+
|
| 128 |
+
# Evaluate on grid (vectorized for speed)
|
| 129 |
+
flat_x = grid_x.ravel()
|
| 130 |
+
flat_y = grid_y.ravel()
|
| 131 |
+
pts = np.stack([flat_x, flat_y], axis=1)
|
| 132 |
+
|
| 133 |
+
disp_x = _evaluate_tps(pts, src, weights_x)
|
| 134 |
+
disp_y = _evaluate_tps(pts, src, weights_y)
|
| 135 |
+
|
| 136 |
+
map_x = (flat_x - disp_x).reshape(height, width)
|
| 137 |
+
map_y = (flat_y - disp_y).reshape(height, width)
|
| 138 |
+
|
| 139 |
+
return map_x, map_y
|
| 140 |
+
|
| 141 |
+
|
| 142 |
+
def _tps_kernel(r: np.ndarray) -> np.ndarray:
|
| 143 |
+
"""TPS radial basis function: r^2 * log(r), with r=0 -> 0."""
|
| 144 |
+
result = np.zeros_like(r)
|
| 145 |
+
mask = r > 0
|
| 146 |
+
result[mask] = r[mask] ** 2 * np.log(r[mask])
|
| 147 |
+
return result
|
| 148 |
+
|
| 149 |
+
|
| 150 |
+
def _solve_tps_weights(
|
| 151 |
+
control_pts: np.ndarray,
|
| 152 |
+
values: np.ndarray,
|
| 153 |
+
) -> np.ndarray:
|
| 154 |
+
"""Solve TPS system -> weight vector [w1..wn, a0, a1, a2]."""
|
| 155 |
+
n = len(control_pts)
|
| 156 |
+
|
| 157 |
+
# Build kernel matrix K (vectorized)
|
| 158 |
+
diff = control_pts[:, np.newaxis, :] - control_pts[np.newaxis, :, :] # (n, n, 2)
|
| 159 |
+
r_mat = np.sqrt((diff ** 2).sum(axis=2)) # (n, n)
|
| 160 |
+
K = np.zeros((n, n))
|
| 161 |
+
nz = r_mat > 0
|
| 162 |
+
K[nz] = r_mat[nz] ** 2 * np.log(r_mat[nz])
|
| 163 |
+
|
| 164 |
+
# Build system matrix [K P; P^T 0]
|
| 165 |
+
P = np.hstack([np.ones((n, 1)), control_pts]) # (n, 3)
|
| 166 |
+
|
| 167 |
+
L = np.zeros((n + 3, n + 3))
|
| 168 |
+
L[:n, :n] = K
|
| 169 |
+
L[:n, n:] = P
|
| 170 |
+
L[n:, :n] = P.T
|
| 171 |
+
|
| 172 |
+
# Regularization for numerical stability
|
| 173 |
+
L[:n, :n] += np.eye(n) * 1e-6
|
| 174 |
+
|
| 175 |
+
rhs = np.zeros(n + 3)
|
| 176 |
+
rhs[:n] = values
|
| 177 |
+
|
| 178 |
+
try:
|
| 179 |
+
weights = np.linalg.solve(L, rhs)
|
| 180 |
+
except np.linalg.LinAlgError:
|
| 181 |
+
weights = np.linalg.lstsq(L, rhs, rcond=None)[0]
|
| 182 |
+
|
| 183 |
+
return weights
|
| 184 |
+
|
| 185 |
+
|
| 186 |
+
def _evaluate_tps(
|
| 187 |
+
points: np.ndarray,
|
| 188 |
+
control_pts: np.ndarray,
|
| 189 |
+
weights: np.ndarray,
|
| 190 |
+
) -> np.ndarray:
|
| 191 |
+
"""Evaluate TPS at arbitrary points (vectorized)."""
|
| 192 |
+
n = len(control_pts)
|
| 193 |
+
w = weights[:n]
|
| 194 |
+
a = weights[n:] # affine: a0 + a1*x + a2*y
|
| 195 |
+
|
| 196 |
+
# Affine component
|
| 197 |
+
result = a[0] + a[1] * points[:, 0] + a[2] * points[:, 1]
|
| 198 |
+
|
| 199 |
+
# Vectorized RBF evaluation in batches to limit memory
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| 200 |
+
batch_size = 50000
|
| 201 |
+
for start in range(0, len(points), batch_size):
|
| 202 |
+
end = min(start + batch_size, len(points))
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| 203 |
+
batch = points[start:end] # (M, 2)
|
| 204 |
+
|
| 205 |
+
# Compute all distances at once: (M, n)
|
| 206 |
+
dx = batch[:, 0:1] - control_pts[:, 0] # (M, n) via broadcasting
|
| 207 |
+
dy = batch[:, 1:2] - control_pts[:, 1] # (M, n)
|
| 208 |
+
r = np.sqrt(dx ** 2 + dy ** 2)
|
| 209 |
+
|
| 210 |
+
# TPS kernel: r^2 * log(r), with r=0 -> 0
|
| 211 |
+
kernel = np.zeros_like(r)
|
| 212 |
+
mask = r > 0
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| 213 |
+
kernel[mask] = r[mask] ** 2 * np.log(r[mask])
|
| 214 |
+
|
| 215 |
+
# Weighted sum across all control points
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| 216 |
+
result[start:end] += kernel @ w
|
| 217 |
+
|
| 218 |
+
return result
|
| 219 |
+
|
| 220 |
+
|
| 221 |
+
def _compute_rigid_translation(
|
| 222 |
+
src: np.ndarray,
|
| 223 |
+
dst: np.ndarray,
|
| 224 |
+
mask: np.ndarray,
|
| 225 |
+
width: int,
|
| 226 |
+
height: int,
|
| 227 |
+
) -> np.ndarray:
|
| 228 |
+
"""Compute mean translation for rigid regions."""
|
| 229 |
+
# Find control points inside rigid mask
|
| 230 |
+
inside = []
|
| 231 |
+
for i, (x, y) in enumerate(src):
|
| 232 |
+
ix, iy = int(x), int(y)
|
| 233 |
+
if 0 <= ix < width and 0 <= iy < height:
|
| 234 |
+
if mask[iy, ix] > 0:
|
| 235 |
+
inside.append(i)
|
| 236 |
+
|
| 237 |
+
if not inside:
|
| 238 |
+
return np.array([0.0, 0.0])
|
| 239 |
+
|
| 240 |
+
dx = np.mean(dst[inside, 0] - src[inside, 0])
|
| 241 |
+
dy = np.mean(dst[inside, 1] - src[inside, 1])
|
| 242 |
+
return np.array([dx, dy])
|
| 243 |
+
|
| 244 |
+
|
| 245 |
+
def _apply_rigid_translation(
|
| 246 |
+
image: np.ndarray,
|
| 247 |
+
translation: np.ndarray,
|
| 248 |
+
) -> np.ndarray:
|
| 249 |
+
"""Apply rigid translation to an image."""
|
| 250 |
+
h, w = image.shape[:2]
|
| 251 |
+
M = np.float32([[1, 0, translation[0]], [0, 1, translation[1]]])
|
| 252 |
+
return cv2.warpAffine(image, M, (w, h), borderMode=cv2.BORDER_REFLECT_101)
|
| 253 |
+
|
| 254 |
+
|
| 255 |
+
def generate_random_warp(
|
| 256 |
+
landmarks: np.ndarray,
|
| 257 |
+
procedure_indices: list[int],
|
| 258 |
+
max_displacement: float = 15.0,
|
| 259 |
+
rng: np.random.Generator | None = None,
|
| 260 |
+
) -> np.ndarray:
|
| 261 |
+
"""Generate randomly warped landmarks for synthetic data."""
|
| 262 |
+
rng = rng or np.random.default_rng()
|
| 263 |
+
result = landmarks.copy()
|
| 264 |
+
|
| 265 |
+
for idx in procedure_indices:
|
| 266 |
+
if idx < len(landmarks):
|
| 267 |
+
dx = rng.uniform(-max_displacement, max_displacement)
|
| 268 |
+
dy = rng.uniform(-max_displacement, max_displacement)
|
| 269 |
+
result[idx, 0] += dx
|
| 270 |
+
result[idx, 1] += dy
|
| 271 |
+
|
| 272 |
+
return result
|