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SynthID Codebook Extractor
Based on analysis of 250 Gemini images, this script extracts and saves
the discovered SynthID watermark codebook for detection purposes.
KEY FINDINGS:
1. Carrier frequencies at specific locations (±14, ±14), (±126, ±14), etc.
2. High phase coherence (0.99+) at carrier frequencies
3. Noise correlation of ~0.21 between watermarked images
4. Noise structure ratio of ~1.32
The codebook consists of:
1. Reference noise pattern (average across all images)
2. Carrier frequency locations and expected phases
3. Detection thresholds
"""
import os
import numpy as np
import cv2
from scipy.fft import fft2, fftshift
import pywt
import json
import pickle
def wavelet_denoise(channel, wavelet='db4', level=3):
"""Wavelet-based denoising."""
coeffs = pywt.wavedec2(channel, wavelet, level=level)
detail = coeffs[-1][0]
sigma = np.median(np.abs(detail)) / 0.6745
threshold = sigma * np.sqrt(2 * np.log(channel.size))
new_coeffs = [coeffs[0]]
for details in coeffs[1:]:
new_details = tuple(pywt.threshold(d, threshold, mode='soft') for d in details)
new_coeffs.append(new_details)
denoised = pywt.waverec2(new_coeffs, wavelet)
return denoised[:channel.shape[0], :channel.shape[1]]
def extract_codebook(image_dir, output_path, max_images=250, size=512):
"""Extract SynthID codebook from a collection of watermarked images."""
print(f"Loading images from {image_dir}...")
# Load images
extensions = {'.png', '.jpg', '.jpeg', '.webp'}
images = []
for fname in sorted(os.listdir(image_dir)):
if os.path.splitext(fname)[1].lower() in extensions:
path = os.path.join(image_dir, fname)
img = cv2.imread(path)
if img is not None:
img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)
img = cv2.resize(img, (size, size))
images.append(img)
if len(images) >= max_images:
break
print(f"Loaded {len(images)} images")
images = np.array(images)
# ================================================================
# 1. EXTRACT REFERENCE NOISE PATTERN
# ================================================================
print("Extracting reference noise pattern...")
noise_sum = np.zeros((size, size, 3), dtype=np.float64)
for img in images:
img_f = img.astype(np.float32) / 255.0
for c in range(3):
denoised = wavelet_denoise(img_f[:, :, c])
noise_sum[:, :, c] += img_f[:, :, c] - denoised
reference_noise = noise_sum / len(images)
# ================================================================
# 2. EXTRACT CARRIER FREQUENCIES
# ================================================================
print("Extracting carrier frequencies...")
magnitude_sum = None
phase_sum = None
for img in images:
gray = cv2.cvtColor(img, cv2.COLOR_RGB2GRAY).astype(np.float32)
f = fft2(gray)
fshift = fftshift(f)
if magnitude_sum is None:
magnitude_sum = np.abs(fshift)
phase_sum = np.exp(1j * np.angle(fshift))
else:
magnitude_sum += np.abs(fshift)
phase_sum += np.exp(1j * np.angle(fshift))
avg_magnitude = magnitude_sum / len(images)
phase_coherence = np.abs(phase_sum) / len(images)
avg_phase = np.angle(phase_sum)
# Find carrier frequencies (high coherence, significant magnitude)
log_mag = np.log1p(avg_magnitude)
combined_score = log_mag * phase_coherence
# Get top carriers
threshold = np.percentile(combined_score, 99.5)
carrier_mask = combined_score > threshold
carrier_locs = np.where(carrier_mask)
center = size // 2
carriers = []
for y, x in zip(carrier_locs[0], carrier_locs[1]):
freq_y, freq_x = y - center, x - center
# Skip DC
if abs(freq_y) < 5 and abs(freq_x) < 5:
continue
carriers.append({
'position': (int(y), int(x)),
'frequency': (int(freq_y), int(freq_x)),
'magnitude': float(avg_magnitude[y, x]),
'phase': float(avg_phase[y, x]),
'coherence': float(phase_coherence[y, x])
})
carriers.sort(key=lambda c: c['coherence'] * np.log1p(c['magnitude']), reverse=True)
carriers = carriers[:100] # Top 100 carriers
# ================================================================
# 3. COMPUTE DETECTION THRESHOLDS
# ================================================================
print("Computing detection thresholds...")
# Compute noise correlations for threshold calibration
correlations = []
for i in range(min(50, len(images))):
for j in range(i+1, min(50, len(images))):
img1 = images[i].astype(np.float32) / 255.0
img2 = images[j].astype(np.float32) / 255.0
noise1 = np.zeros((size, size, 3))
noise2 = np.zeros((size, size, 3))
for c in range(3):
noise1[:, :, c] = img1[:, :, c] - wavelet_denoise(img1[:, :, c])
noise2[:, :, c] = img2[:, :, c] - wavelet_denoise(img2[:, :, c])
corr = np.corrcoef(noise1.ravel(), noise2.ravel())[0, 1]
correlations.append(corr)
correlation_mean = float(np.mean(correlations))
correlation_std = float(np.std(correlations))
# Detection threshold: if correlation > mean - 2*std, likely watermarked
detection_threshold = correlation_mean - 2 * correlation_std
# ================================================================
# 4. CREATE CODEBOOK
# ================================================================
print("Creating codebook...")
codebook = {
'version': '1.0',
'source': 'Gemini/SynthID',
'n_images_analyzed': len(images),
'image_size': size,
# Reference patterns
'reference_noise': reference_noise,
'reference_magnitude': avg_magnitude,
'reference_phase': avg_phase,
'phase_coherence': phase_coherence,
# Carrier frequencies
'carriers': carriers,
'n_carriers': len(carriers),
# Detection parameters
'correlation_mean': correlation_mean,
'correlation_std': correlation_std,
'detection_threshold': detection_threshold,
'noise_structure_ratio': 1.32, # From previous analysis
# Key carrier frequencies (simplified)
'key_frequencies': [
{'freq': (14, 14), 'coherence': 0.9996},
{'freq': (-14, -14), 'coherence': 0.9996},
{'freq': (126, 14), 'coherence': 0.9996},
{'freq': (-126, -14), 'coherence': 0.9996},
{'freq': (98, -14), 'coherence': 0.9994},
{'freq': (-98, 14), 'coherence': 0.9994},
{'freq': (128, 128), 'coherence': 0.9925},
{'freq': (-128, -128), 'coherence': 0.9925},
]
}
# Save codebook
os.makedirs(os.path.dirname(output_path) if os.path.dirname(output_path) else '.', exist_ok=True)
# Save as pickle (includes numpy arrays, protocol=4 for compatibility)
with open(output_path, 'wb') as f:
pickle.dump(codebook, f, protocol=4)
# Save metadata as JSON
json_path = output_path.replace('.pkl', '_meta.json')
meta = {
'version': codebook['version'],
'source': codebook['source'],
'n_images_analyzed': codebook['n_images_analyzed'],
'image_size': codebook['image_size'],
'n_carriers': codebook['n_carriers'],
'correlation_mean': codebook['correlation_mean'],
'correlation_std': codebook['correlation_std'],
'detection_threshold': codebook['detection_threshold'],
'key_frequencies': codebook['key_frequencies'],
'carriers': codebook['carriers'][:20] # Top 20 for reference
}
with open(json_path, 'w') as f:
json.dump(meta, f, indent=2)
print(f"\nCodebook saved to {output_path}")
print(f"Metadata saved to {json_path}")
return codebook
def detect_synthid(image_path, codebook_path):
"""
Detect SynthID watermark in an image using the extracted codebook.
Returns:
dict with detection results
"""
# Load codebook
with open(codebook_path, 'rb') as f:
codebook = pickle.load(f)
# Load and preprocess image
img = cv2.imread(image_path)
if img is None:
return {'error': 'Could not load image'}
img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)
size = codebook['image_size']
img = cv2.resize(img, (size, size))
img_f = img.astype(np.float32) / 255.0
# Extract noise pattern
noise = np.zeros((size, size, 3))
for c in range(3):
noise[:, :, c] = img_f[:, :, c] - wavelet_denoise(img_f[:, :, c])
# Method 1: Correlation with reference noise
ref_noise = codebook['reference_noise']
correlation = np.corrcoef(noise.ravel(), ref_noise.ravel())[0, 1]
# Method 2: Check carrier frequencies
gray = cv2.cvtColor(img, cv2.COLOR_RGB2GRAY).astype(np.float32)
f = fft2(gray)
fshift = fftshift(f)
magnitude = np.abs(fshift)
phase = np.angle(fshift)
center = size // 2
carrier_scores = []
for carrier in codebook['carriers'][:20]:
y, x = carrier['position']
expected_phase = carrier['phase']
actual_phase = phase[y, x]
# Phase difference (accounting for wrap-around)
phase_diff = np.abs(np.angle(np.exp(1j * (actual_phase - expected_phase))))
phase_match = 1 - phase_diff / np.pi
carrier_scores.append(phase_match)
avg_phase_match = float(np.mean(carrier_scores))
# Method 3: Noise structure ratio
noise_gray = np.mean(noise, axis=2)
structure_ratio = float(np.std(noise_gray) / (np.mean(np.abs(noise_gray)) + 1e-10))
# Detection decision
threshold = codebook['detection_threshold']
is_watermarked = (
correlation > threshold and
avg_phase_match > 0.5 and
0.8 < structure_ratio < 1.8
)
# Confidence score
confidence = min(1.0, max(0.0,
(correlation - threshold) / (codebook['correlation_mean'] - threshold) * 0.4 +
avg_phase_match * 0.4 +
(1 - abs(structure_ratio - 1.32) / 0.5) * 0.2
))
return {
'is_watermarked': bool(is_watermarked),
'confidence': float(confidence),
'correlation': float(correlation),
'phase_match': float(avg_phase_match),
'structure_ratio': float(structure_ratio),
'threshold': float(threshold),
'reference_correlation_mean': float(codebook['correlation_mean'])
}
if __name__ == '__main__':
import argparse
parser = argparse.ArgumentParser(description='SynthID Codebook Extractor and Detector')
subparsers = parser.add_subparsers(dest='command', help='Commands')
# Extract command
extract_parser = subparsers.add_parser('extract', help='Extract codebook from images')
extract_parser.add_argument('image_dir', type=str, help='Directory with watermarked images')
extract_parser.add_argument('--output', type=str, default='./synthid_codebook.pkl', help='Output path')
extract_parser.add_argument('--max-images', type=int, default=250, help='Max images')
extract_parser.add_argument('--size', type=int, default=512, help='Image size')
# Detect command
detect_parser = subparsers.add_parser('detect', help='Detect watermark in image')
detect_parser.add_argument('image', type=str, help='Image to check')
detect_parser.add_argument('--codebook', type=str, default='./synthid_codebook.pkl', help='Codebook path')
args = parser.parse_args()
if args.command == 'extract':
extract_codebook(args.image_dir, args.output, args.max_images, args.size)
elif args.command == 'detect':
result = detect_synthid(args.image, args.codebook)
print("\nDetection Results:")
print(f" Watermarked: {result['is_watermarked']}")
print(f" Confidence: {result['confidence']:.4f}")
print(f" Correlation: {result['correlation']:.4f}")
print(f" Phase Match: {result['phase_match']:.4f}")
print(f" Structure Ratio: {result['structure_ratio']:.4f}")
else:
parser.print_help()
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