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remove-ai-watermarks/scripts/synthid_runtime/_synthid_registered.py
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"""Opt-in scale registration for the measured periodic SynthID carrier."""
# The optional numeric libraries do not provide complete types for this path.
# pyright: reportMissingTypeStubs=false, reportUnknownMemberType=false, reportUnknownVariableType=false, reportUnknownArgumentType=false
from __future__ import annotations
import itertools
import math
from dataclasses import dataclass
from typing import TYPE_CHECKING, Any
import cv2
import numpy as np
from synthid_runtime._synthid_confirmation import (
RegisteredConfirmationComponents,
registered_confirmation_components,
)
from synthid_runtime.synthid_detector import folded_template_score
if TYPE_CHECKING:
from numpy.typing import NDArray
_PYRAMID_SCALES = (0.75, 1.0, 1.25)
_SEARCH_PERIODS = np.linspace(5.0, 32.0, 541, dtype=np.float64)
_CANONICAL_PERIODS = np.linspace(7.5, 24.5, 1701, dtype=np.float64)
_OPPONENT_SEARCH_PERIODS = np.linspace(7.5, 14.5, 141, dtype=np.float64)
_FINE_OPPONENT_COARSE_PERIODS = np.linspace(7.5, 9.0, 31, dtype=np.float64)
_FINE_OPPONENT_PROBE_SIZE = 384
_PERIOD_THRESHOLDS = (
(7.5, 8.5, 0.3770629524888979),
(8.5, 10.0, 0.25174716660523494),
(10.0, 12.0, 0.284692023502354),
(12.0, 14.0, 0.19794247706938645),
(14.0, 16.0, 0.33930082812296375),
(16.0, 18.0, 0.28915284982686323),
(18.0, 20.0, 0.22885510746595789),
(20.0, 22.0, 0.24570317032768269),
(22.0, 24.5, 0.3142958338390489),
)
REGISTERED_HIGH_BAND_THRESHOLD = 0.075
OPPONENT_REGISTERED_MIN_PERIOD = 7.9
OPPONENT_REGISTERED_MAX_PERIOD = 12.0
OPPONENT_REGISTERED_CODEC_VETO_MAX_PERIOD = 8.1
OPPONENT_REGISTERED_MAX_P8_EDGE_RATIO = 1.05
FINE_OPPONENT_REGISTERED_MIN_PERIOD = 7.5
FINE_OPPONENT_REGISTERED_MAX_PERIOD = 9.0
OPPONENT_REGISTERED_FIXED_MIN = 0.16
OPPONENT_REGISTERED_RED_GREEN_MIN = 0.60
OPPONENT_REGISTERED_BLUE_YELLOW_MIN = 0.55
@dataclass(frozen=True)
class RegisteredComponents:
"""Calibrated components of one scale-registered decision."""
raw_score: float
amplitude_threshold: float
selected_period: float
spectral_period: float
high_band_score: float
confirmation: RegisteredConfirmationComponents | None = None
@property
def base_decision_score(self) -> float:
"""Return the unchanged registered-v2 decision statistic."""
if self.selected_period != self.spectral_period:
return 0.0
return min(
self.raw_score / self.amplitude_threshold,
self.high_band_score / REGISTERED_HIGH_BAND_THRESHOLD,
)
@property
def decision_score(self) -> float:
"""Return the base score only after split confirmation passes."""
base_score = self.base_decision_score
if base_score < 1.0:
return base_score
if self.confirmation is None or not self.confirmation.passes:
return 0.0
return base_score
@dataclass(frozen=True)
class OpponentRegisteredComponents:
"""Auditable margins for the bounded opponent-color fallback."""
selected_period: float
spectral_period: float
spectral_score: float
fixed_score: float
red_green_spatial: float
blue_yellow_spatial: float
candidate_count: int
red_green_p8_edge_ratio: float | None
blue_yellow_p8_edge_ratio: float | None
@property
def base_decision_score(self) -> float:
"""Return the minimum normalized color-carrier margin."""
return min(
self.fixed_score / OPPONENT_REGISTERED_FIXED_MIN,
self.red_green_spatial / OPPONENT_REGISTERED_RED_GREEN_MIN,
self.blue_yellow_spatial / OPPONENT_REGISTERED_BLUE_YELLOW_MIN,
)
@property
def decision_score(self) -> float:
"""Return the margin only inside the independently challenged period band."""
if not OPPONENT_REGISTERED_MIN_PERIOD <= self.selected_period <= OPPONENT_REGISTERED_MAX_PERIOD:
return 0.0
if self.selected_period <= OPPONENT_REGISTERED_CODEC_VETO_MAX_PERIOD:
ratios = (self.red_green_p8_edge_ratio, self.blue_yellow_p8_edge_ratio)
if any(value is None or value > OPPONENT_REGISTERED_MAX_P8_EDGE_RATIO for value in ratios):
return 0.0
return self.base_decision_score
@property
def fine_decision_score(self) -> float:
"""Return the margin for the separately calibrated fine-period expert."""
if not FINE_OPPONENT_REGISTERED_MIN_PERIOD <= self.selected_period <= FINE_OPPONENT_REGISTERED_MAX_PERIOD:
return 0.0
if self.selected_period <= OPPONENT_REGISTERED_CODEC_VETO_MAX_PERIOD:
ratios = (self.red_green_p8_edge_ratio, self.blue_yellow_p8_edge_ratio)
if any(value is None or value > OPPONENT_REGISTERED_MAX_P8_EDGE_RATIO for value in ratios):
return 0.0
return self.base_decision_score
def _resize(pixels: NDArray[Any], width: int, height: int) -> NDArray[Any]:
interpolation = cv2.INTER_AREA if width < pixels.shape[1] else cv2.INTER_CUBIC
return np.asarray(cv2.resize(pixels, (width, height), interpolation=interpolation))
def _template_frequency_features(
template: NDArray[Any],
) -> tuple[NDArray[Any], NDArray[Any], NDArray[Any]]:
spectrum = np.fft.fft2(template, axes=(0, 1))
power = np.sum(np.abs(spectrum) ** 2, axis=2)
power[0, 0] = 0.0
indices = np.argsort(power.ravel())[::-1][:30]
rows, columns = np.unravel_index(indices, power.shape)
height, width = template.shape[:2]
signed_rows = np.where(rows <= height // 2, rows, rows - height)
signed_columns = np.where(columns <= width // 2, columns, columns - width)
harmonics = np.column_stack((signed_rows, signed_columns)).astype(np.float64)
return harmonics, spectrum[rows, columns], spectrum
def _bilinear_sample(
spectrum: NDArray[Any],
y: NDArray[Any],
x: NDArray[Any],
) -> NDArray[Any]:
height, width = spectrum.shape
y_floor = np.floor(y)
x_floor = np.floor(x)
y0 = y_floor.astype(np.int64) % height
x0 = x_floor.astype(np.int64) % width
y1 = (y0 + 1) % height
x1 = (x0 + 1) % width
dy = y - y_floor
dx = x - x_floor
return (
spectrum[y0, x0] * (1.0 - dy) * (1.0 - dx)
+ spectrum[y1, x0] * dy * (1.0 - dx)
+ spectrum[y0, x1] * (1.0 - dy) * dx
+ spectrum[y1, x1] * dy * dx
)
def _spectral_curve(
pixels: NDArray[Any],
periods: NDArray[Any],
harmonics: NDArray[Any],
coefficients: NDArray[Any],
) -> NDArray[Any]:
height, width = pixels.shape[:2]
y = (periods[:, None] ** -1) * harmonics[None, :, 0] * height
x = (periods[:, None] ** -1) * harmonics[None, :, 1] * width
sampled = np.empty((len(periods), len(harmonics), 3), dtype=np.complex128)
for channel in range(3):
residual = pixels[:, :, channel].astype(np.float32)
residual -= cv2.GaussianBlur(
residual,
(0, 0),
sigmaX=1.0,
sigmaY=1.0,
borderType=cv2.BORDER_REFLECT_101,
)
spectrum = np.fft.fft2(residual)
sampled[:, :, channel] = _bilinear_sample(spectrum, y % height, x % width)
numerator = np.real(np.sum(np.conj(coefficients)[None, :, :] * sampled, axis=(1, 2)))
denominator = np.linalg.norm(coefficients) * np.linalg.norm(sampled, axis=(1, 2))
return np.divide(
numerator,
denominator,
out=np.zeros_like(numerator),
where=denominator > 0.0,
)
def _period_candidates(
periods: NDArray[Any],
scores: NDArray[Any],
count: int = 3,
) -> list[float]:
candidates: list[float] = []
for index in np.argsort(scores)[::-1]:
period = float(periods[index])
if any(abs(period - existing_period) < 0.25 for existing_period in candidates):
continue
candidates.append(period)
if len(candidates) == count:
break
return candidates
def _period_threshold(period: float) -> float:
for index, (lower, upper, threshold) in enumerate(_PERIOD_THRESHOLDS):
if lower <= period < upper or (index == len(_PERIOD_THRESHOLDS) - 1 and period == upper):
return threshold
raise ValueError(f"registered period {period} is outside the calibrated range")
def _high_band_score(
folded: NDArray[Any],
template_spectrum: NDArray[Any],
) -> float:
folded_spectrum = np.fft.fft2(folded, axes=(0, 1))
tile_height, tile_width = template_spectrum.shape[:2]
y_coordinates = np.minimum(np.arange(tile_height), tile_height - np.arange(tile_height))
x_coordinates = np.minimum(np.arange(tile_width), tile_width - np.arange(tile_width))
radius = np.sqrt(y_coordinates[:, None] ** 2 + x_coordinates[None, :] ** 2)
correlations = []
for lower, upper in ((4.5, 6.5), (6.5, 12.0)):
mask = (radius >= lower) & (radius < upper)
selected_folded = folded_spectrum[mask]
selected_template = template_spectrum[mask]
denominator = np.linalg.norm(selected_folded) * np.linalg.norm(selected_template)
correlations.append(
float(np.real(np.vdot(selected_template, selected_folded)) / denominator) if denominator > 0.0 else 0.0
)
return min(correlations)
def _best_canonical(
pixels: NDArray[Any],
periods: list[float],
template: NDArray[Any],
sigma: float,
) -> tuple[float, NDArray[Any], NDArray[Any], float]:
best_score = -math.inf
best_canonical: NDArray[Any] | None = None
best_folded: NDArray[Any] | None = None
best_period: float | None = None
for period in periods:
predicted_width = round(pixels.shape[1] * template.shape[1] / period)
for delta in range(-4, 5):
width = predicted_width + delta
height = round(pixels.shape[0] * width / pixels.shape[1])
canonical = _resize(pixels, width, height)
score, folded = folded_template_score(canonical, template, sigma)
if score > best_score:
best_score = score
best_canonical = canonical
best_folded = folded
best_period = period
if best_canonical is None or best_folded is None or best_period is None:
raise RuntimeError("scale registration produced no canonical view")
return float(best_score), best_canonical, best_folded, best_period
def _quadrant_median(
canonical: NDArray[Any],
template: NDArray[Any],
sigma: float,
) -> float:
tile_height, tile_width = template.shape[:2]
split_y = max(tile_height, (canonical.shape[0] // (2 * tile_height)) * tile_height)
split_x = max(tile_width, (canonical.shape[1] // (2 * tile_width)) * tile_width)
scores = []
for region in (
canonical[:split_y, :split_x],
canonical[:split_y, split_x:],
canonical[split_y:, :split_x],
canonical[split_y:, split_x:],
):
score, _folded = folded_template_score(region, template, sigma)
scores.append(score)
return float(np.median(scores))
def _pyramid_locked_mean(
pixels: NDArray[Any],
harmonics: NDArray[Any],
coefficients: NDArray[Any],
base_curve: NDArray[Any],
) -> float:
curves = []
candidates = []
for scale in _PYRAMID_SCALES:
if scale == 1.0:
curve = base_curve
else:
level = _resize(
pixels,
max(16, round(pixels.shape[1] * scale)),
max(16, round(pixels.shape[0] * scale)),
)
curve = _spectral_curve(level, _SEARCH_PERIODS, harmonics, coefficients)
curves.append(curve)
candidates.append(_period_candidates(_SEARCH_PERIODS, curve))
combinations = itertools.product(*candidates)
def spread(combination: tuple[float, ...]) -> float:
normalized_periods = [
candidate / scale
for candidate, scale in zip(
combination,
_PYRAMID_SCALES,
strict=True,
)
]
return float(np.std(np.log(normalized_periods)))
best = min(
combinations,
key=spread,
)
base_period = float(np.median([candidate / scale for candidate, scale in zip(best, _PYRAMID_SCALES, strict=True)]))
locked = [
float(np.interp(base_period * scale, _SEARCH_PERIODS, curve))
for curve, scale in zip(curves, _PYRAMID_SCALES, strict=True)
]
return float(np.mean(locked))
def _opponent_pair(values: NDArray[Any]) -> NDArray[Any]:
"""Return Red-minus-Green and Blue-minus-Yellow color planes."""
red = values[:, :, 0]
green = values[:, :, 1]
blue = values[:, :, 2]
return np.stack((red - green, blue - 0.5 * (red + green)), axis=2)
def _opponent_period_curve(
pixels: NDArray[Any],
template: NDArray[Any],
periods: NDArray[Any] = _OPPONENT_SEARCH_PERIODS,
) -> NDArray[Any]:
"""Return signed opponent-color coherence across the frozen search grid."""
template_opponent = _opponent_pair(np.asarray(template, dtype=np.float64))
template_spectrum = np.fft.fft2(template_opponent, axes=(0, 1))
power = np.sum(np.abs(template_spectrum) ** 2, axis=2)
power[0, 0] = 0.0
indices = np.argsort(power.ravel())[::-1][:30]
rows, columns = np.unravel_index(indices, power.shape)
height, width = template.shape[:2]
signed_rows = np.where(rows <= height // 2, rows, rows - height)
signed_columns = np.where(columns <= width // 2, columns, columns - width)
harmonics = np.column_stack((signed_rows, signed_columns)).astype(np.float64)
coefficients = template_spectrum[rows, columns]
image_height, image_width = pixels.shape[:2]
sample_y = periods[:, None] ** -1 * harmonics[None, :, 0] * image_height
sample_x = periods[:, None] ** -1 * harmonics[None, :, 1] * image_width
sampled = np.empty((len(periods), len(harmonics), 2), dtype=np.complex128)
image_opponent = _opponent_pair(np.asarray(pixels, dtype=np.float32))
for channel in range(2):
residual = image_opponent[:, :, channel]
residual -= cv2.GaussianBlur(
residual,
(0, 0),
sigmaX=1.0,
sigmaY=1.0,
borderType=cv2.BORDER_REFLECT_101,
)
sampled[:, :, channel] = _bilinear_sample(
np.fft.fft2(residual),
sample_y % image_height,
sample_x % image_width,
)
numerator = np.real(np.sum(np.conj(coefficients)[None, :, :] * sampled, axis=(1, 2)))
denominator = np.linalg.norm(coefficients) * np.linalg.norm(sampled, axis=(1, 2))
return np.divide(numerator, denominator, out=np.zeros_like(numerator), where=denominator > 0.0)
def _opponent_period_candidates(scores: NDArray[Any], count: int = 3) -> list[int]:
"""Return separated period indices in descending spectral-score order."""
candidates: list[int] = []
for index in np.argsort(scores)[::-1]:
period = float(_OPPONENT_SEARCH_PERIODS[index])
if any(abs(period - float(_OPPONENT_SEARCH_PERIODS[prior])) < 0.5 for prior in candidates):
continue
candidates.append(int(index))
if len(candidates) == count:
break
return candidates
def _canonical_at_period(
pixels: NDArray[Any],
template: NDArray[Any],
period: float,
) -> NDArray[Any]:
"""Resample PIXELS so PERIOD maps to the frozen template period."""
width = max(template.shape[1], round(pixels.shape[1] * template.shape[1] / period))
height = max(template.shape[0], round(pixels.shape[0] * template.shape[0] / period))
if (height, width) == pixels.shape[:2]:
return pixels
return _resize(pixels, width, height)
def _correlation(left: NDArray[Any], right: NDArray[Any]) -> float:
"""Return the signed real cosine between equal-shaped arrays."""
denominator = float(np.linalg.norm(left) * np.linalg.norm(right))
return float(np.real(np.vdot(right, left)) / denominator) if denominator > 0.0 else 0.0
def _period8_edge_ratio(values: NDArray[Any]) -> float:
"""Measure native 8-pixel block edges relative to non-block phases."""
phase_values = np.zeros(8, dtype=np.float64)
for axis in (0, 1):
differences = np.abs(np.diff(values, axis=axis))
indices = np.arange(differences.shape[axis])
for phase in range(8):
selected = indices[(indices + 1) % 8 == phase]
phase_values[phase] += 0.5 * float(np.take(differences, selected, axis=axis).mean())
baseline = float(np.median(phase_values[[1, 2, 3, 5, 6, 7]]))
return float(phase_values[0] / baseline) if baseline > 1e-9 else math.inf
def _period8_opponent_edge_ratios(pixels: NDArray[Any]) -> tuple[float, float]:
"""Return codec-grid ratios for the two opponent-color planes."""
opponent = _opponent_pair(np.asarray(pixels, dtype=np.float32))
return _period8_edge_ratio(opponent[:, :, 0]), _period8_edge_ratio(opponent[:, :, 1])
def _opponent_components_at_period(
pixels: NDArray[Any],
template: NDArray[Any],
sigma: float,
period: float,
*,
spectral_period: float,
spectral_score: float,
candidate_count: int,
period8_edge_ratios: tuple[float, float] | None = None,
) -> OpponentRegisteredComponents:
"""Measure one period without selecting it from the image being scored."""
canonical = _canonical_at_period(pixels, template, period)
fixed_score, folded = folded_template_score(canonical, template, sigma)
folded_opponent = _opponent_pair(folded)
template_opponent = _opponent_pair(template)
red_green_p8_edge_ratio, blue_yellow_p8_edge_ratio = period8_edge_ratios or (None, None)
return OpponentRegisteredComponents(
selected_period=period,
spectral_period=spectral_period,
spectral_score=spectral_score,
fixed_score=fixed_score,
red_green_spatial=_correlation(folded_opponent[:, :, 0], template_opponent[:, :, 0]),
blue_yellow_spatial=_correlation(folded_opponent[:, :, 1], template_opponent[:, :, 1]),
candidate_count=candidate_count,
red_green_p8_edge_ratio=red_green_p8_edge_ratio,
blue_yellow_p8_edge_ratio=blue_yellow_p8_edge_ratio,
)
def opponent_registered_components(
pixels: NDArray[Any],
template: NDArray[Any],
sigma: float,
) -> OpponentRegisteredComponents:
"""Measure the bounded lossless-resize carrier in opponent-color space."""
curve = _opponent_period_curve(pixels, template)
candidate_indices = _opponent_period_candidates(curve)
observations: list[OpponentRegisteredComponents] = []
period8_edge_ratios: tuple[float, float] | None = None
for index in candidate_indices:
period = float(_OPPONENT_SEARCH_PERIODS[index])
if period <= OPPONENT_REGISTERED_CODEC_VETO_MAX_PERIOD and period8_edge_ratios is None:
period8_edge_ratios = _period8_opponent_edge_ratios(pixels)
observations.append(
_opponent_components_at_period(
pixels,
template,
sigma,
period,
spectral_period=float(_OPPONENT_SEARCH_PERIODS[int(np.argmax(curve))]),
spectral_score=float(curve[index]),
candidate_count=len(candidate_indices),
period8_edge_ratios=period8_edge_ratios,
)
)
if not observations:
raise RuntimeError("opponent-color registration produced no candidates")
return max(observations, key=lambda observation: observation.base_decision_score)
def _fine_opponent_period_groups(curve: NDArray[Any]) -> list[list[float]]:
"""Return fine period grids around separated absolute spectral peaks."""
centers: list[float] = []
for index in np.argsort(np.abs(curve))[::-1]:
period = float(_FINE_OPPONENT_COARSE_PERIODS[index])
if any(abs(period - existing) < 0.2 for existing in centers):
continue
centers.append(period)
if len(centers) == 3:
break
return [
sorted(
{
round(float(period), 2)
for period in np.arange(center - 0.36, center + 0.361, 0.01)
if FINE_OPPONENT_REGISTERED_MIN_PERIOD <= period <= FINE_OPPONENT_REGISTERED_MAX_PERIOD
}
)
for center in centers
]
def fine_opponent_registered_components(
pixels: NDArray[Any],
template: NDArray[Any],
sigma: float,
) -> OpponentRegisteredComponents:
"""Select and score the calibrated fine-period lossless-resize expert."""
curve = _opponent_period_curve(pixels, template, _FINE_OPPONENT_COARSE_PERIODS)
spectral_index = int(np.argmax(np.abs(curve)))
spectral_period = float(_FINE_OPPONENT_COARSE_PERIODS[spectral_index])
period_groups = _fine_opponent_period_groups(curve)
probe = pixels[
: min(_FINE_OPPONENT_PROBE_SIZE, pixels.shape[0]),
: min(_FINE_OPPONENT_PROBE_SIZE, pixels.shape[1]),
]
candidate_count = sum(len(group) for group in period_groups)
unique_periods = sorted({period for group in period_groups for period in group})
probe_by_period = {
period: _opponent_components_at_period(
probe,
template,
sigma,
period,
spectral_period=spectral_period,
spectral_score=float(np.interp(period, _FINE_OPPONENT_COARSE_PERIODS, curve)),
candidate_count=candidate_count,
)
for period in unique_periods
}
probe_groups = [[probe_by_period[period] for period in group] for group in period_groups]
probe_observations = [observation for group in probe_groups for observation in group]
finalist_periods = {
observation.selected_period
for group in probe_groups
for observation in sorted(group, key=lambda value: value.base_decision_score, reverse=True)[:2]
}
finalist_periods.update(
observation.selected_period
for observation in sorted(
probe_observations,
key=lambda value: value.base_decision_score,
reverse=True,
)[:5]
)
period8_edge_ratios = (
_period8_opponent_edge_ratios(pixels)
if any(period <= OPPONENT_REGISTERED_CODEC_VETO_MAX_PERIOD for period in finalist_periods)
else None
)
observations = [
_opponent_components_at_period(
pixels,
template,
sigma,
period,
spectral_period=spectral_period,
spectral_score=float(np.interp(period, _FINE_OPPONENT_COARSE_PERIODS, curve)),
candidate_count=len(probe_observations),
period8_edge_ratios=period8_edge_ratios,
)
for period in sorted(finalist_periods)
]
if not observations:
raise RuntimeError("fine opponent-color registration produced no candidates")
return max(observations, key=lambda observation: observation.base_decision_score)
def registered_components(
pixels: NDArray[Any],
template: NDArray[Any],
sigma: float,
) -> RegisteredComponents:
"""Measure a carrier after bounded scale registration."""
harmonics, coefficients, template_spectrum = _template_frequency_features(template)
combined_periods = np.concatenate((_SEARCH_PERIODS, _CANONICAL_PERIODS))
combined_curve = _spectral_curve(pixels, combined_periods, harmonics, coefficients)
base_curve = combined_curve[: len(_SEARCH_PERIODS)]
canonical_curve = combined_curve[len(_SEARCH_PERIODS) :]
candidates = _period_candidates(_CANONICAL_PERIODS, canonical_curve)
baseline, canonical, folded, selected_period = _best_canonical(pixels, candidates, template, sigma)
quadrant = _quadrant_median(canonical, template, sigma)
pyramid = _pyramid_locked_mean(
pixels,
harmonics,
coefficients,
base_curve,
)
raw_score = float((baseline + quadrant + pyramid) / 3.0)
components = RegisteredComponents(
raw_score=raw_score,
amplitude_threshold=_period_threshold(selected_period),
selected_period=selected_period,
spectral_period=candidates[0],
high_band_score=_high_band_score(folded, template_spectrum),
)
if components.base_decision_score < 1.0:
return components
try:
confirmation = registered_confirmation_components(
pixels,
template,
selected_period,
sigma,
)
except ValueError:
return components
return RegisteredComponents(
raw_score=components.raw_score,
amplitude_threshold=components.amplitude_threshold,
selected_period=components.selected_period,
spectral_period=components.spectral_period,
high_band_score=components.high_band_score,
confirmation=confirmation,
)
def registered_score(
pixels: NDArray[Any],
template: NDArray[Any],
sigma: float,
) -> float:
"""Return the calibrated registered decision statistic."""
return registered_components(pixels, template, sigma).decision_score
def opponent_registered_score(
pixels: NDArray[Any],
template: NDArray[Any],
sigma: float,
) -> float:
"""Return the bounded opponent-color fallback decision statistic."""
return opponent_registered_components(pixels, template, sigma).decision_score
def fine_opponent_registered_score(
pixels: NDArray[Any],
template: NDArray[Any],
sigma: float,
) -> float:
"""Return the separately calibrated fine-period decision statistic."""
return fine_opponent_registered_components(pixels, template, sigma).fine_decision_score