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breakpilot-lehrer/klausur-service/backend/page_crop.py
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Add camera gutter detection via vertical continuity analysis
Scanner shadow detection (range > 40, darkest < 180) fails on camera
book scans where the gutter shadow is subtle (range ~25, darkest ~214).

New _detect_gutter_continuity() detects gutters by their unique property:
the shadow runs continuously from top to bottom without interruption.
Divides the image into horizontal strips and checks what fraction of
strips are darker than the page median at each column. A gutter column
has >= 75% of strips darker. The transition point where the smoothed
dark fraction drops below 50% marks the crop boundary.

Integrated as fallback between scanner shadow and binary projection.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-11 13:58:14 +02:00

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"""
Page Crop - Content-based crop for scanned pages and book scans.
Detects the content boundary by analysing ink density projections and
(for book scans) the spine shadow gradient. Works with both loose A4
sheets on dark scanners AND book scans with white backgrounds.
License: Apache 2.0
"""
import logging
from typing import Dict, Any, Tuple, Optional
import cv2
import numpy as np
logger = logging.getLogger(__name__)
# Known paper format aspect ratios (height / width, portrait orientation)
PAPER_FORMATS = {
"A4": 297.0 / 210.0, # 1.4143
"A5": 210.0 / 148.0, # 1.4189
"Letter": 11.0 / 8.5, # 1.2941
"Legal": 14.0 / 8.5, # 1.6471
"A3": 420.0 / 297.0, # 1.4141
}
# Minimum ink density (fraction of pixels) to count a row/column as "content"
_INK_THRESHOLD = 0.003 # 0.3%
# Minimum run length (fraction of dimension) to keep — shorter runs are noise
_MIN_RUN_FRAC = 0.005 # 0.5%
def detect_page_splits(
img_bgr: np.ndarray,
) -> list:
"""Detect if the image is a multi-page spread and return split rectangles.
Uses **brightness** (not ink density) to find the spine area:
the scanner bed produces a characteristic gray strip where pages meet,
which is darker than the white paper on either side.
Returns a list of page dicts ``{x, y, width, height, page_index}``
or an empty list if only one page is detected.
"""
h, w = img_bgr.shape[:2]
# Only check landscape-ish images (width > height * 1.15)
if w < h * 1.15:
return []
gray = cv2.cvtColor(img_bgr, cv2.COLOR_BGR2GRAY)
# Column-mean brightness (0-255) — the spine is darker (gray scanner bed)
col_brightness = np.mean(gray, axis=0).astype(np.float64)
# Heavy smoothing to ignore individual text lines
kern = max(11, w // 50)
if kern % 2 == 0:
kern += 1
brightness_smooth = np.convolve(col_brightness, np.ones(kern) / kern, mode="same")
# Page paper is bright (typically > 200), spine/scanner bed is darker
page_brightness = float(np.max(brightness_smooth))
if page_brightness < 100:
return [] # Very dark image, skip
# Spine threshold: significantly darker than the page
# Spine is typically 60-80% of paper brightness
spine_thresh = page_brightness * 0.88
# Search in center region (30-70% of width)
center_lo = int(w * 0.30)
center_hi = int(w * 0.70)
# Find the darkest valley in the center region
center_brightness = brightness_smooth[center_lo:center_hi]
darkest_val = float(np.min(center_brightness))
if darkest_val >= spine_thresh:
logger.debug("No spine detected: min brightness %.0f >= threshold %.0f",
darkest_val, spine_thresh)
return []
# Find ALL contiguous dark runs in the center region
is_dark = center_brightness < spine_thresh
dark_runs: list = [] # list of (start, end) pairs
run_start = -1
for i in range(len(is_dark)):
if is_dark[i]:
if run_start < 0:
run_start = i
else:
if run_start >= 0:
dark_runs.append((run_start, i))
run_start = -1
if run_start >= 0:
dark_runs.append((run_start, len(is_dark)))
# Filter out runs that are too narrow (< 1% of image width)
min_spine_px = int(w * 0.01)
dark_runs = [(s, e) for s, e in dark_runs if e - s >= min_spine_px]
if not dark_runs:
logger.debug("No dark runs wider than %dpx in center region", min_spine_px)
return []
# Score each dark run: prefer centered, dark, narrow valleys
center_region_len = center_hi - center_lo
image_center_in_region = (w * 0.5 - center_lo) # x=50% mapped into region coords
best_score = -1.0
best_start, best_end = dark_runs[0]
for rs, re in dark_runs:
run_width = re - rs
run_center = (rs + re) / 2.0
# --- Factor 1: Proximity to image center (gaussian, sigma = 15% of region) ---
sigma = center_region_len * 0.15
dist = abs(run_center - image_center_in_region)
center_factor = float(np.exp(-0.5 * (dist / sigma) ** 2))
# --- Factor 2: Darkness (how dark is the valley relative to threshold) ---
run_brightness = float(np.mean(center_brightness[rs:re]))
# Normalize: 1.0 when run_brightness == 0, 0.0 when run_brightness == spine_thresh
darkness_factor = max(0.0, (spine_thresh - run_brightness) / spine_thresh)
# --- Factor 3: Narrowness bonus (spine shadows are narrow, not wide plateaus) ---
# Typical spine: 1-5% of image width. Penalise runs wider than ~8%.
width_frac = run_width / w
if width_frac <= 0.05:
narrowness_bonus = 1.0
elif width_frac <= 0.15:
narrowness_bonus = 1.0 - (width_frac - 0.05) / 0.10 # linear decay 1.0 → 0.0
else:
narrowness_bonus = 0.0
score = center_factor * darkness_factor * (0.3 + 0.7 * narrowness_bonus)
logger.debug(
"Dark run x=%d..%d (w=%d): center_f=%.3f dark_f=%.3f narrow_b=%.3f → score=%.4f",
center_lo + rs, center_lo + re, run_width,
center_factor, darkness_factor, narrowness_bonus, score,
)
if score > best_score:
best_score = score
best_start, best_end = rs, re
spine_w = best_end - best_start
spine_x = center_lo + best_start
spine_center = spine_x + spine_w // 2
logger.debug(
"Best spine candidate: x=%d..%d (w=%d), score=%.4f",
spine_x, spine_x + spine_w, spine_w, best_score,
)
# Verify: must have bright (paper) content on BOTH sides
left_brightness = float(np.mean(brightness_smooth[max(0, spine_x - w // 10):spine_x]))
right_end = center_lo + best_end
right_brightness = float(np.mean(brightness_smooth[right_end:min(w, right_end + w // 10)]))
if left_brightness < spine_thresh or right_brightness < spine_thresh:
logger.debug("No bright paper flanking spine: left=%.0f right=%.0f thresh=%.0f",
left_brightness, right_brightness, spine_thresh)
return []
logger.info(
"Spine detected: x=%d..%d (w=%d), brightness=%.0f vs paper=%.0f, "
"left_paper=%.0f, right_paper=%.0f",
spine_x, right_end, spine_w, darkest_val, page_brightness,
left_brightness, right_brightness,
)
# Split at the spine center
split_points = [spine_center]
# Build page rectangles
pages: list = []
prev_x = 0
for i, sx in enumerate(split_points):
pages.append({"x": prev_x, "y": 0, "width": sx - prev_x,
"height": h, "page_index": i})
prev_x = sx
pages.append({"x": prev_x, "y": 0, "width": w - prev_x,
"height": h, "page_index": len(split_points)})
# Filter out tiny pages (< 15% of total width)
pages = [p for p in pages if p["width"] >= w * 0.15]
if len(pages) < 2:
return []
# Re-index
for i, p in enumerate(pages):
p["page_index"] = i
logger.info(
"Page split detected: %d pages, spine_w=%d, split_points=%s",
len(pages), spine_w, split_points,
)
return pages
def detect_and_crop_page(
img_bgr: np.ndarray,
margin_frac: float = 0.01,
) -> Tuple[np.ndarray, Dict[str, Any]]:
"""Detect content boundary and crop scanner/book borders.
Algorithm (4-edge detection):
1. Adaptive threshold → binary (text=255, bg=0)
2. Left edge: spine-shadow detection via grayscale column means,
fallback to binary vertical projection
3. Right edge: binary vertical projection (last ink column)
4. Top/bottom edges: binary horizontal projection
5. Sanity checks, then crop with configurable margin
Args:
img_bgr: Input BGR image (should already be deskewed/dewarped)
margin_frac: Extra margin around content (fraction of dimension, default 1%)
Returns:
Tuple of (cropped_image, result_dict)
"""
h, w = img_bgr.shape[:2]
total_area = h * w
result: Dict[str, Any] = {
"crop_applied": False,
"crop_rect": None,
"crop_rect_pct": None,
"original_size": {"width": w, "height": h},
"cropped_size": {"width": w, "height": h},
"detected_format": None,
"format_confidence": 0.0,
"aspect_ratio": round(max(h, w) / max(min(h, w), 1), 4),
"border_fractions": {"top": 0.0, "bottom": 0.0, "left": 0.0, "right": 0.0},
}
gray = cv2.cvtColor(img_bgr, cv2.COLOR_BGR2GRAY)
# --- Binarise with adaptive threshold (works for white-on-white) ---
binary = cv2.adaptiveThreshold(
gray, 255, cv2.ADAPTIVE_THRESH_GAUSSIAN_C,
cv2.THRESH_BINARY_INV, blockSize=51, C=15,
)
# --- Left edge: spine-shadow detection ---
left_edge = _detect_left_edge_shadow(gray, binary, w, h)
# --- Right edge: spine-shadow detection ---
right_edge = _detect_right_edge_shadow(gray, binary, w, h)
# --- Top / bottom edges: binary horizontal projection ---
top_edge, bottom_edge = _detect_top_bottom_edges(binary, w, h)
# Compute border fractions
border_top = top_edge / h
border_bottom = (h - bottom_edge) / h
border_left = left_edge / w
border_right = (w - right_edge) / w
result["border_fractions"] = {
"top": round(border_top, 4),
"bottom": round(border_bottom, 4),
"left": round(border_left, 4),
"right": round(border_right, 4),
}
# Sanity: only crop if at least one edge has > 2% border
min_border = 0.02
if all(f < min_border for f in [border_top, border_bottom, border_left, border_right]):
logger.info("All borders < %.0f%% — no crop needed", min_border * 100)
result["detected_format"], result["format_confidence"] = _detect_format(w, h)
return img_bgr, result
# Add margin
margin_x = int(w * margin_frac)
margin_y = int(h * margin_frac)
crop_x = max(0, left_edge - margin_x)
crop_y = max(0, top_edge - margin_y)
crop_x2 = min(w, right_edge + margin_x)
crop_y2 = min(h, bottom_edge + margin_y)
crop_w = crop_x2 - crop_x
crop_h = crop_y2 - crop_y
# Sanity: cropped area must be >= 40% of original
if crop_w * crop_h < 0.40 * total_area:
logger.warning("Cropped area too small (%.0f%%) — skipping crop",
100.0 * crop_w * crop_h / total_area)
result["detected_format"], result["format_confidence"] = _detect_format(w, h)
return img_bgr, result
cropped = img_bgr[crop_y:crop_y2, crop_x:crop_x2].copy()
detected_format, format_confidence = _detect_format(crop_w, crop_h)
result["crop_applied"] = True
result["crop_rect"] = {"x": crop_x, "y": crop_y, "width": crop_w, "height": crop_h}
result["crop_rect_pct"] = {
"x": round(100.0 * crop_x / w, 2),
"y": round(100.0 * crop_y / h, 2),
"width": round(100.0 * crop_w / w, 2),
"height": round(100.0 * crop_h / h, 2),
}
result["cropped_size"] = {"width": crop_w, "height": crop_h}
result["detected_format"] = detected_format
result["format_confidence"] = format_confidence
result["aspect_ratio"] = round(max(crop_w, crop_h) / max(min(crop_w, crop_h), 1), 4)
logger.info(
"Page cropped: %dx%d -> %dx%d, format=%s (%.0f%%), "
"borders: T=%.1f%% B=%.1f%% L=%.1f%% R=%.1f%%",
w, h, crop_w, crop_h, detected_format, format_confidence * 100,
border_top * 100, border_bottom * 100,
border_left * 100, border_right * 100,
)
return cropped, result
# ---------------------------------------------------------------------------
# Edge detection helpers
# ---------------------------------------------------------------------------
def _detect_spine_shadow(
gray: np.ndarray,
search_region: np.ndarray,
offset_x: int,
w: int,
side: str,
) -> Optional[int]:
"""Find the book spine center (darkest point) in a scanner shadow.
The scanner produces a gray strip where the book spine presses against
the glass. The darkest column in that strip is the spine center —
that's where we crop.
Distinguishes real spine shadows from text content by checking:
1. Strong brightness range (> 40 levels)
2. Darkest point is genuinely dark (< 180 mean brightness)
3. The dark area is a NARROW valley, not a text-content plateau
4. Brightness rises significantly toward the page content side
Args:
gray: Full grayscale image (for context).
search_region: Column slice of the grayscale image to search in.
offset_x: X offset of search_region relative to full image.
w: Full image width.
side: 'left' or 'right' (for logging).
Returns:
X coordinate (in full image) of the spine center, or None.
"""
region_w = search_region.shape[1]
if region_w < 10:
return None
# Column-mean brightness in the search region
col_means = np.mean(search_region, axis=0).astype(np.float64)
# Smooth with boxcar kernel (width = 1% of image width, min 5)
kernel_size = max(5, w // 100)
if kernel_size % 2 == 0:
kernel_size += 1
kernel = np.ones(kernel_size) / kernel_size
smoothed_raw = np.convolve(col_means, kernel, mode="same")
# Trim convolution edge artifacts (edges are zero-padded → artificially low)
margin = kernel_size // 2
if region_w <= 2 * margin + 10:
return None
smoothed = smoothed_raw[margin:region_w - margin]
trim_offset = margin # offset of smoothed[0] relative to search_region
val_min = float(np.min(smoothed))
val_max = float(np.max(smoothed))
shadow_range = val_max - val_min
# --- Check 1: Strong brightness gradient ---
if shadow_range <= 40:
logger.debug(
"%s edge: no spine (range=%.0f <= 40)", side.capitalize(), shadow_range,
)
return None
# --- Check 2: Darkest point must be genuinely dark ---
# Spine shadows have mean column brightness 60-160.
# Text on white paper stays above 180.
if val_min > 180:
logger.debug(
"%s edge: no spine (darkest=%.0f > 180, likely text)", side.capitalize(), val_min,
)
return None
spine_idx = int(np.argmin(smoothed)) # index in trimmed array
spine_local = spine_idx + trim_offset # index in search_region
trimmed_len = len(smoothed)
# --- Check 3: Valley width (spine is narrow, text plateau is wide) ---
# Count how many columns are within 20% of the shadow range above the min.
valley_thresh = val_min + shadow_range * 0.20
valley_mask = smoothed < valley_thresh
valley_width = int(np.sum(valley_mask))
# Spine valleys are typically 3-15% of image width (20-120px on a 800px image).
# Text content plateaus span 20%+ of the search region.
max_valley_frac = 0.50 # valley must not cover more than half the trimmed region
if valley_width > trimmed_len * max_valley_frac:
logger.debug(
"%s edge: no spine (valley too wide: %d/%d = %.0f%%)",
side.capitalize(), valley_width, trimmed_len,
100.0 * valley_width / trimmed_len,
)
return None
# --- Check 4: Brightness must rise toward page content ---
# For left edge: after spine, brightness should rise (= page paper)
# For right edge: before spine, brightness should rise
rise_check_w = max(5, trimmed_len // 5) # check 20% of trimmed region
if side == "left":
# Check columns to the right of the spine (in trimmed array)
right_start = min(spine_idx + 5, trimmed_len - 1)
right_end = min(right_start + rise_check_w, trimmed_len)
if right_end > right_start:
rise_brightness = float(np.mean(smoothed[right_start:right_end]))
rise = rise_brightness - val_min
if rise < shadow_range * 0.3:
logger.debug(
"%s edge: no spine (insufficient rise: %.0f, need %.0f)",
side.capitalize(), rise, shadow_range * 0.3,
)
return None
else: # right
# Check columns to the left of the spine (in trimmed array)
left_end = max(spine_idx - 5, 0)
left_start = max(left_end - rise_check_w, 0)
if left_end > left_start:
rise_brightness = float(np.mean(smoothed[left_start:left_end]))
rise = rise_brightness - val_min
if rise < shadow_range * 0.3:
logger.debug(
"%s edge: no spine (insufficient rise: %.0f, need %.0f)",
side.capitalize(), rise, shadow_range * 0.3,
)
return None
spine_x = offset_x + spine_local
logger.info(
"%s edge: spine center at x=%d (brightness=%.0f, range=%.0f, valley=%dpx)",
side.capitalize(), spine_x, val_min, shadow_range, valley_width,
)
return spine_x
def _detect_gutter_continuity(
gray: np.ndarray,
search_region: np.ndarray,
offset_x: int,
w: int,
side: str,
) -> Optional[int]:
"""Detect gutter shadow via vertical continuity analysis.
Camera book scans produce a subtle brightness gradient at the gutter
that is too faint for scanner-shadow detection (range < 40). However,
the gutter shadow has a unique property: it runs **continuously from
top to bottom** without interruption. Text and images always have
vertical gaps between lines, paragraphs, or sections.
Algorithm:
1. Divide image into N horizontal strips (~60px each)
2. For each column, compute what fraction of strips are darker than
the page median (from the center 50% of the full image)
3. A "gutter column" has ≥ 75% of strips darker than page_median δ
4. Smooth the dark-fraction profile and find the transition point
from the edge inward where the fraction drops below 0.50
5. Validate: gutter band must be 0.5%-10% of image width
Args:
gray: Full grayscale image.
search_region: Edge slice of the grayscale image.
offset_x: X offset of search_region relative to full image.
w: Full image width.
side: 'left' or 'right'.
Returns:
X coordinate (in full image) of the gutter inner edge, or None.
"""
region_h, region_w = search_region.shape[:2]
if region_w < 20 or region_h < 100:
return None
# --- 1. Divide into horizontal strips ---
strip_target_h = 60 # ~60px per strip
n_strips = max(10, region_h // strip_target_h)
strip_h = region_h // n_strips
strip_means = np.zeros((n_strips, region_w), dtype=np.float64)
for s in range(n_strips):
y0 = s * strip_h
y1 = min((s + 1) * strip_h, region_h)
strip_means[s] = np.mean(search_region[y0:y1, :], axis=0)
# --- 2. Page median from center 50% of full image ---
center_lo = w // 4
center_hi = 3 * w // 4
page_median = float(np.median(gray[:, center_lo:center_hi]))
# Camera shadows are subtle — threshold just 5 levels below page median
dark_thresh = page_median - 5.0
# If page is very dark overall (e.g. photo, not a book page), bail out
if page_median < 180:
return None
# --- 3. Per-column dark fraction ---
dark_count = np.sum(strip_means < dark_thresh, axis=0).astype(np.float64)
dark_frac = dark_count / n_strips # shape: (region_w,)
# --- 4. Smooth and find transition ---
# Rolling mean (window = 1% of image width, min 5)
smooth_w = max(5, w // 100)
if smooth_w % 2 == 0:
smooth_w += 1
kernel = np.ones(smooth_w) / smooth_w
frac_smooth = np.convolve(dark_frac, kernel, mode="same")
# Trim convolution edges
margin = smooth_w // 2
if region_w <= 2 * margin + 10:
return None
# Scan from edge inward to find where frac drops below transition threshold
transition_thresh = 0.50
gutter_inner = None # local x in search_region
if side == "right":
# Scan from right edge (region_w - 1) inward (toward 0)
for x in range(region_w - 1 - margin, margin, -1):
if frac_smooth[x] < transition_thresh:
gutter_inner = x + 1 # crop just past the transition
break
else:
# Scan from left edge (0) inward (toward region_w)
for x in range(margin, region_w - margin):
if frac_smooth[x] < transition_thresh:
gutter_inner = x - 1
break
if gutter_inner is None:
return None
# --- 5. Validate gutter width ---
if side == "right":
gutter_width = region_w - gutter_inner
else:
gutter_width = gutter_inner
min_gutter = max(3, int(w * 0.005)) # at least 0.5% of image
max_gutter = int(w * 0.10) # at most 10% of image
if gutter_width < min_gutter:
logger.debug(
"%s gutter: too narrow (%dpx < %dpx)", side.capitalize(),
gutter_width, min_gutter,
)
return None
if gutter_width > max_gutter:
logger.debug(
"%s gutter: too wide (%dpx > %dpx)", side.capitalize(),
gutter_width, max_gutter,
)
return None
# Check that the gutter band is meaningfully darker than the page
if side == "right":
gutter_brightness = float(np.mean(strip_means[:, gutter_inner:]))
else:
gutter_brightness = float(np.mean(strip_means[:, :gutter_inner]))
brightness_drop = page_median - gutter_brightness
if brightness_drop < 3:
logger.debug(
"%s gutter: insufficient brightness drop (%.1f levels)",
side.capitalize(), brightness_drop,
)
return None
gutter_x = offset_x + gutter_inner
logger.info(
"%s gutter (continuity): x=%d, width=%dpx (%.1f%%), "
"brightness=%.0f vs page=%.0f (drop=%.0f), frac@edge=%.2f",
side.capitalize(), gutter_x, gutter_width,
100.0 * gutter_width / w, gutter_brightness, page_median,
brightness_drop, float(frac_smooth[gutter_inner]),
)
return gutter_x
def _detect_left_edge_shadow(
gray: np.ndarray,
binary: np.ndarray,
w: int,
h: int,
) -> int:
"""Detect left content edge, accounting for book-spine shadow.
Tries three methods in order:
1. Scanner spine-shadow (dark gradient, range > 40)
2. Camera gutter continuity (subtle shadow running top-to-bottom)
3. Binary projection fallback (first ink column)
"""
search_w = max(1, w // 4)
spine_x = _detect_spine_shadow(gray, gray[:, :search_w], 0, w, "left")
if spine_x is not None:
return spine_x
# Fallback 1: vertical continuity (camera gutter shadow)
gutter_x = _detect_gutter_continuity(gray, gray[:, :search_w], 0, w, "left")
if gutter_x is not None:
return gutter_x
# Fallback 2: binary vertical projection
return _detect_edge_projection(binary, axis=0, from_start=True, dim=w)
def _detect_right_edge_shadow(
gray: np.ndarray,
binary: np.ndarray,
w: int,
h: int,
) -> int:
"""Detect right content edge, accounting for book-spine shadow.
Tries three methods in order:
1. Scanner spine-shadow (dark gradient, range > 40)
2. Camera gutter continuity (subtle shadow running top-to-bottom)
3. Binary projection fallback (last ink column)
"""
search_w = max(1, w // 4)
right_start = w - search_w
spine_x = _detect_spine_shadow(gray, gray[:, right_start:], right_start, w, "right")
if spine_x is not None:
return spine_x
# Fallback 1: vertical continuity (camera gutter shadow)
gutter_x = _detect_gutter_continuity(gray, gray[:, right_start:], right_start, w, "right")
if gutter_x is not None:
return gutter_x
# Fallback 2: binary vertical projection
return _detect_edge_projection(binary, axis=0, from_start=False, dim=w)
def _detect_top_bottom_edges(binary: np.ndarray, w: int, h: int) -> Tuple[int, int]:
"""Detect top and bottom content edges via binary horizontal projection."""
top = _detect_edge_projection(binary, axis=1, from_start=True, dim=h)
bottom = _detect_edge_projection(binary, axis=1, from_start=False, dim=h)
return top, bottom
def _detect_edge_projection(
binary: np.ndarray,
axis: int,
from_start: bool,
dim: int,
) -> int:
"""Find the first/last row or column with ink density above threshold.
axis=0 → project vertically (column densities) → returns x position
axis=1 → project horizontally (row densities) → returns y position
Filters out narrow noise runs shorter than _MIN_RUN_FRAC of the dimension.
"""
# Compute density per row/column (mean of binary pixels / 255)
projection = np.mean(binary, axis=axis) / 255.0
# Create mask of "ink" positions
ink_mask = projection >= _INK_THRESHOLD
# Filter narrow runs (noise)
min_run = max(1, int(dim * _MIN_RUN_FRAC))
ink_mask = _filter_narrow_runs(ink_mask, min_run)
ink_positions = np.where(ink_mask)[0]
if len(ink_positions) == 0:
return 0 if from_start else dim
if from_start:
return int(ink_positions[0])
else:
return int(ink_positions[-1])
def _filter_narrow_runs(mask: np.ndarray, min_run: int) -> np.ndarray:
"""Remove True-runs shorter than min_run pixels."""
if min_run <= 1:
return mask
result = mask.copy()
n = len(result)
i = 0
while i < n:
if result[i]:
start = i
while i < n and result[i]:
i += 1
if i - start < min_run:
result[start:i] = False
else:
i += 1
return result
# ---------------------------------------------------------------------------
# Format detection (kept as optional metadata)
# ---------------------------------------------------------------------------
def _detect_format(width: int, height: int) -> Tuple[str, float]:
"""Detect paper format from dimensions by comparing aspect ratios."""
if width <= 0 or height <= 0:
return "unknown", 0.0
aspect = max(width, height) / min(width, height)
best_format = "unknown"
best_diff = float("inf")
for fmt, expected_ratio in PAPER_FORMATS.items():
diff = abs(aspect - expected_ratio)
if diff < best_diff:
best_diff = diff
best_format = fmt
confidence = max(0.0, 1.0 - best_diff * 5.0)
if confidence < 0.3:
return "unknown", 0.0
return best_format, round(confidence, 3)