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92264a1 | 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 | """Nasal morphometry and facial symmetry evaluation.
Geometric evaluation metrics derived from Varghaei et al. (2025),
adapted for evaluating surgical prediction outputs.
Computes five nasal ratios plus bilateral facial symmetry from
MediaPipe 478-point landmarks, enabling interpretable clinical
quality assessment beyond perceptual metrics (LPIPS, FID).
Usage::
from landmarkdiff.morphometry import NasalMorphometry, FacialSymmetry
morph = NasalMorphometry()
ratios = morph.compute(landmarks_478)
sym = FacialSymmetry()
score = sym.compute(landmarks_478)
"""
from __future__ import annotations
import logging
from dataclasses import dataclass
import numpy as np
logger = logging.getLogger(__name__)
# MediaPipe landmark indices (478-point mesh)
# Reference: https://github.com/google/mediapipe/blob/master/mediapipe/modules/face_geometry/data/canonical_face_model_uv_visualization.png
NOSE_TIP = 1
LEFT_NOSTRIL = 98
RIGHT_NOSTRIL = 327
LEFT_INNER_EYE = 133
RIGHT_INNER_EYE = 362
LEFT_OUTER_EYE = 33
RIGHT_OUTER_EYE = 263
LEFT_CHEEK = 234
RIGHT_CHEEK = 454
CHIN = 152
FOREHEAD = 10
GLABELLA = 168
@dataclass
class NasalRatios:
"""Five nasal morphometric ratios from Varghaei et al. (2025).
Attributes:
alar_intercanthal: Alar width / intercanthal distance.
Ideal ~1.0 (nose width equals eye spacing).
alar_face_width: Alar width / face width.
Ideal ~0.20 (nose is 1/5 of face width).
nose_length_face_height: Nose length / face height.
Proportional measure of nose vertical extent.
tip_midline_deviation: Horizontal offset of nose tip from
facial midline, normalized by face width. Lower is better.
nostril_vertical_asymmetry: Vertical height difference between
nostrils, normalized by face height. Lower is better.
"""
alar_intercanthal: float = 0.0
alar_face_width: float = 0.0
nose_length_face_height: float = 0.0
tip_midline_deviation: float = 0.0
nostril_vertical_asymmetry: float = 0.0
def improvement_score(self, reference: NasalRatios) -> dict[str, bool]:
"""Check which ratios improved relative to reference (pre-op).
A ratio 'improved' if the prediction moved it closer to the
anthropometric ideal compared to the reference.
"""
ideals = {
"alar_intercanthal": 1.0,
"alar_face_width": 0.20,
}
results = {}
for name, ideal in ideals.items():
pred_val = getattr(self, name)
ref_val = getattr(reference, name)
results[name] = abs(pred_val - ideal) < abs(ref_val - ideal)
# For deviation/asymmetry, lower is always better
results["tip_midline_deviation"] = (
self.tip_midline_deviation < reference.tip_midline_deviation
)
results["nostril_vertical_asymmetry"] = (
self.nostril_vertical_asymmetry < reference.nostril_vertical_asymmetry
)
return results
def to_dict(self) -> dict[str, float]:
return {
"alar_intercanthal": self.alar_intercanthal,
"alar_face_width": self.alar_face_width,
"nose_length_face_height": self.nose_length_face_height,
"tip_midline_deviation": self.tip_midline_deviation,
"nostril_vertical_asymmetry": self.nostril_vertical_asymmetry,
}
class NasalMorphometry:
"""Compute nasal morphometric ratios from MediaPipe landmarks.
Five geometric features following Varghaei et al. (2025):
1. Alar width / intercanthal distance (ideal ~1.0)
2. Alar width / face width (ideal ~0.20)
3. Nose length / face height
4. Tip midline deviation (normalized)
5. Nostril vertical asymmetry (normalized)
"""
def compute(self, landmarks: np.ndarray) -> NasalRatios:
"""Compute all five nasal ratios.
Args:
landmarks: (N, 2) or (N, 3) array of MediaPipe landmarks.
Must have at least 478 points. Uses only x, y.
Returns:
NasalRatios dataclass with computed values.
"""
pts = landmarks[:, :2] # use only x, y
# Key points
nose_tip = pts[NOSE_TIP]
left_nostril = pts[LEFT_NOSTRIL]
right_nostril = pts[RIGHT_NOSTRIL]
left_inner_eye = pts[LEFT_INNER_EYE]
right_inner_eye = pts[RIGHT_INNER_EYE]
left_cheek = pts[LEFT_CHEEK]
right_cheek = pts[RIGHT_CHEEK]
forehead = pts[FOREHEAD]
chin = pts[CHIN]
glabella = pts[GLABELLA]
# Distances (cast to float for mypy compatibility)
alar_width: float = float(np.linalg.norm(left_nostril - right_nostril))
intercanthal: float = max(float(np.linalg.norm(left_inner_eye - right_inner_eye)), 1e-6)
face_width: float = max(float(np.linalg.norm(left_cheek - right_cheek)), 1e-6)
face_height: float = max(float(np.linalg.norm(forehead - chin)), 1e-6)
nose_length: float = float(np.linalg.norm(glabella - nose_tip))
# Facial midline (between outer eye corners)
midline_x = (pts[LEFT_OUTER_EYE][0] + pts[RIGHT_OUTER_EYE][0]) / 2
# Ratios
alar_intercanthal = float(alar_width / intercanthal)
alar_face = float(alar_width / face_width)
nose_face = float(nose_length / face_height)
tip_deviation = float(abs(nose_tip[0] - midline_x) / face_width)
nostril_asymmetry = float(abs(left_nostril[1] - right_nostril[1]) / face_height)
return NasalRatios(
alar_intercanthal=alar_intercanthal,
alar_face_width=alar_face,
nose_length_face_height=nose_face,
tip_midline_deviation=tip_deviation,
nostril_vertical_asymmetry=nostril_asymmetry,
)
def compute_from_image(self, image: np.ndarray) -> NasalRatios | None:
"""Extract landmarks from image and compute ratios.
Args:
image: BGR uint8 image (H, W, 3).
Returns:
NasalRatios or None if landmark detection fails.
"""
try:
import mediapipe as mp
except ImportError:
logger.warning("mediapipe required for landmark extraction")
return None
with mp.solutions.face_mesh.FaceMesh(
static_image_mode=True,
max_num_faces=1,
refine_landmarks=True,
min_detection_confidence=0.5,
) as face_mesh:
import cv2
rgb = cv2.cvtColor(image, cv2.COLOR_BGR2RGB)
results = face_mesh.process(rgb)
if not results.multi_face_landmarks:
return None
h, w = image.shape[:2]
face = results.multi_face_landmarks[0]
landmarks = np.array([(lm.x * w, lm.y * h) for lm in face.landmark])
return self.compute(landmarks)
class FacialSymmetry:
"""Bilateral facial symmetry scoring.
Measures deviation from perfect bilateral symmetry by reflecting
left-side landmarks across the facial midline and computing
distances to nearest right-side counterparts.
Lower scores indicate greater symmetry.
"""
def compute(
self,
landmarks: np.ndarray,
left_eye_idx: int = LEFT_OUTER_EYE,
right_eye_idx: int = RIGHT_OUTER_EYE,
) -> float:
"""Compute bilateral symmetry error.
Args:
landmarks: (N, 2) or (N, 3) array. Uses only x, y.
left_eye_idx: Landmark index for left outer eye corner.
right_eye_idx: Landmark index for right outer eye corner.
Returns:
Mean symmetry error (lower = more symmetric).
Normalized by inter-ocular distance.
"""
pts = landmarks[:, :2].copy()
# Midline from eye corners
midline_x = (pts[left_eye_idx][0] + pts[right_eye_idx][0]) / 2
iod = abs(pts[left_eye_idx][0] - pts[right_eye_idx][0])
if iod < 1e-6:
return 0.0
# Partition into left and right
left_mask = pts[:, 0] < midline_x
right_mask = pts[:, 0] > midline_x
left_pts = pts[left_mask]
right_pts = pts[right_mask]
if len(left_pts) == 0 or len(right_pts) == 0:
return 0.0
# Reflect left across midline
reflected = left_pts.copy()
reflected[:, 0] = 2 * midline_x - reflected[:, 0]
# KDTree nearest-neighbor matching
try:
from scipy.spatial import KDTree
tree = KDTree(right_pts)
distances, _ = tree.query(reflected)
return float(np.mean(distances) / iod)
except ImportError:
# Fallback: brute force
total = 0.0
for pt in reflected:
dists = np.linalg.norm(right_pts - pt, axis=1)
total += np.min(dists)
return float(total / (len(reflected) * iod))
def compute_from_image(self, image: np.ndarray) -> float | None:
"""Extract landmarks from image and compute symmetry.
Args:
image: BGR uint8 image (H, W, 3).
Returns:
Symmetry error or None if detection fails.
"""
try:
import mediapipe as mp
except ImportError:
logger.warning("mediapipe required for landmark extraction")
return None
with mp.solutions.face_mesh.FaceMesh(
static_image_mode=True,
max_num_faces=1,
refine_landmarks=True,
min_detection_confidence=0.5,
) as face_mesh:
import cv2
rgb = cv2.cvtColor(image, cv2.COLOR_BGR2RGB)
results = face_mesh.process(rgb)
if not results.multi_face_landmarks:
return None
h, w = image.shape[:2]
face = results.multi_face_landmarks[0]
landmarks = np.array([(lm.x * w, lm.y * h) for lm in face.landmark])
return self.compute(landmarks)
def compare_morphometry(
pred_image: np.ndarray,
input_image: np.ndarray,
procedure: str = "rhinoplasty",
) -> dict:
"""Compare morphometric quality between prediction and input.
Computes nasal ratios and symmetry for both images and reports
which metrics improved. Useful for evaluating whether the predicted
surgical output shows clinically meaningful improvement.
Args:
pred_image: Predicted output (BGR uint8).
input_image: Original input (BGR uint8).
procedure: Procedure type (affects which metrics are relevant).
Returns:
Dict with 'input_ratios', 'pred_ratios', 'improvements',
'input_symmetry', 'pred_symmetry', 'symmetry_improved'.
"""
morph = NasalMorphometry()
sym = FacialSymmetry()
input_ratios = morph.compute_from_image(input_image)
pred_ratios = morph.compute_from_image(pred_image)
input_sym = sym.compute_from_image(input_image)
pred_sym = sym.compute_from_image(pred_image)
result: dict = {
"procedure": procedure,
"input_ratios": input_ratios.to_dict() if input_ratios else None,
"pred_ratios": pred_ratios.to_dict() if pred_ratios else None,
"input_symmetry": input_sym,
"pred_symmetry": pred_sym,
"symmetry_improved": (
pred_sym < input_sym if pred_sym is not None and input_sym is not None else None
),
}
if input_ratios and pred_ratios:
result["improvements"] = pred_ratios.improvement_score(input_ratios)
else:
result["improvements"] = None
return result
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