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"""Spatial utilities: box merging, word placement, reading order, split-line detection."""
from __future__ import annotations
import math
from typing import Any, Sequence
from geometry import Box, polygon_bounds
from models import Word, AnnotationBox, PredictedRow
SPLIT_LINE_VERTICAL_OVERLAP_THRESHOLD = 0.5
SPLIT_LINE_HORIZONTAL_OVERLAP_TOLERANCE_RATIO = 0.25
SPLIT_LINE_MAX_GAP_HEIGHT_MULTIPLIER = 2.0
LINE_END_HYPHENS = "-֊‐‑‒–—"
MULTI_BOX_SINGLE_COLUMN_LOCATION_THRESHOLD = 0.8
MULTI_BOX_SINGLE_COLUMN_OVERLAP_THRESHOLD = 0.8
MULTI_BOX_OVERLAP_TIE_TOLERANCE = 0.05
MULTI_BOX_BEGINNING_BOX_OVERLAP_TOLERANCE = 0.25
MULTI_BOX_BEGINNING_BOX_MIN_LEADING_WORDS = 2
MULTI_BOX_BEGINNING_BOX_MIN_COVERAGE = 0.35
BOX_LINE_VERTICAL_OVERLAP_THRESHOLD = 0.60
READING_ORDER_ROW_OVERLAP_THRESHOLD = 0.5
READING_ORDER_COLUMN_OVERLAP_THRESHOLD = 0.5
def merge_boxes(boxes: list[Box]) -> Box:
return Box(
x_min=min(box.x_min for box in boxes),
y_min=min(box.y_min for box in boxes),
x_max=max(box.x_max for box in boxes),
y_max=max(box.y_max for box in boxes),
)
def row_box(predicted_row: PredictedRow) -> Box:
return merge_boxes([word.box for word in predicted_row.words])
def interval_overlap(
start_a: float, end_a: float, start_b: float, end_b: float
) -> float:
return max(0.0, min(end_a, end_b) - max(start_a, start_b))
def point_to_box_local_coordinates(
point: tuple[float, float],
annotation_box: AnnotationBox,
) -> tuple[float, float]:
origin_x = annotation_box.rect.x_min
origin_y = annotation_box.rect.y_min
rotation_radians = math.radians(annotation_box.rotation)
cos_theta = math.cos(rotation_radians)
sin_theta = math.sin(rotation_radians)
delta_x = point[0] - origin_x
delta_y = point[1] - origin_y
return (
delta_x * cos_theta + delta_y * sin_theta,
-delta_x * sin_theta + delta_y * cos_theta,
)
def box_to_local_bounds(box: Box, annotation_box: AnnotationBox) -> Box:
local_points = [
point_to_box_local_coordinates(point, annotation_box)
for point in box.to_polygon()
]
return polygon_bounds(local_points)
def word_local_center(
word: Word, annotation_box: AnnotationBox
) -> tuple[float, float]:
return point_to_box_local_coordinates(word.center, annotation_box)
def local_box_to_list(box: Box) -> list[float]:
return [
round(box.x_min, 3),
round(box.y_min, 3),
round(box.x_max, 3),
round(box.y_max, 3),
]
def rounded_box(box: Box) -> list[float]:
return [round(value, 3) for value in box.to_list()]
def report_box(box_values: list[float]) -> Box:
return Box(
x_min=float(box_values[0]),
y_min=float(box_values[1]),
x_max=float(box_values[2]),
y_max=float(box_values[3]),
)
def edge_words_in_box(
predicted_row: PredictedRow,
annotation_box: AnnotationBox,
) -> tuple[dict[str, Any] | None, dict[str, Any] | None]:
edge_words: list[dict[str, Any]] = []
for index, word in enumerate(predicted_row.words):
local_box = box_to_local_bounds(word.box, annotation_box)
edge_words.append(
{
"index": index,
"text": word.text,
"global_box": [round(value, 3) for value in word.box.to_list()],
"local_box": local_box,
}
)
if not edge_words:
return (None, None)
first_word = min(
edge_words, key=lambda item: (item["local_box"].x_min, item["index"])
)
last_word = max(
edge_words, key=lambda item: (item["local_box"].x_max, -item["index"])
)
return (first_word, last_word)
def word_coverage_in_box(word: Word, annotation_box: AnnotationBox) -> float:
center_x, center_y = word.center
return 1.0 if annotation_box.contains_point(center_x, center_y) else 0.0
def word_overlap_coverage_in_box(word: Word, annotation_box: AnnotationBox) -> float:
if word.box.area <= 0:
return 0.0
overlap_area = annotation_box.overlap_area_with_box(word.box)
return overlap_area / word.box.area
def word_non_overlapping_area(word: Word, annotation_box: AnnotationBox) -> float:
overlap_area = annotation_box.overlap_area_with_box(word.box)
return max(0.0, word.box.area - overlap_area)
def non_empty_words(predicted_row: PredictedRow) -> list[Word]:
return [word for word in predicted_row.words if word.text.strip()]
def uncovered_words_against_box(
predicted_row: PredictedRow,
annotation_box: AnnotationBox,
) -> list[dict[str, Any]]:
uncovered_words: list[dict[str, Any]] = []
for word in non_empty_words(predicted_row):
if word_coverage_in_box(word, annotation_box) >= 1.0:
continue
non_overlapping_area = word_non_overlapping_area(word, annotation_box)
uncovered_words.append(
{
"text": word.text,
"word_box": [round(value, 3) for value in word.box.to_list()],
"non_overlapping_area": round(non_overlapping_area, 6),
"non_overlapping_fraction": (
round(non_overlapping_area / word.box.area, 6)
if word.box.area > 0
else 0.0
),
"overlap_coverage": round(
word_overlap_coverage_in_box(word, annotation_box), 6
),
}
)
return uncovered_words
def single_uncovered_word_against_box(
predicted_row: PredictedRow,
annotation_box: AnnotationBox,
) -> dict[str, Any] | None:
uncovered_words = uncovered_words_against_box(predicted_row, annotation_box)
if len(uncovered_words) != 1:
return None
return uncovered_words[0]
def row_location_coverage(
predicted_row: PredictedRow, annotation_box: AnnotationBox
) -> float:
words = non_empty_words(predicted_row)
total_words = len(words)
if total_words == 0:
return 0.0
matched_words = sum(word_coverage_in_box(word, annotation_box) for word in words)
return matched_words / total_words
def row_overlap_coverage(
predicted_row: PredictedRow, annotation_box: AnnotationBox
) -> float:
words = non_empty_words(predicted_row)
total_area = sum(word.box.area for word in words)
if total_area <= 0:
return 0.0
covered_area = 0.0
for word in words:
covered_area += annotation_box.overlap_area_with_box(word.box)
return covered_area / total_area
def classify_row(touched_box_ids: list[str], all_word_box_ids: list[str]) -> str:
if not touched_box_ids:
return "no_box"
if len(all_word_box_ids) == 1 and len(touched_box_ids) == 1:
return "exactly_one_box"
if len(touched_box_ids) > 1 or len(all_word_box_ids) > 1:
return "multiple_boxes"
return "no_box"
def best_box_detail_for_multiple_row(
per_box_details: list[dict[str, Any]],
) -> dict[str, Any] | None:
if not per_box_details:
return None
strongest_match = max(
per_box_details,
key=lambda item: (
item["overlap_coverage"],
item["coverage"],
item["matched_words"],
-item["first_word_index"],
item["leading_word_count"],
item["box_id"],
),
)
beginning_match = min(
per_box_details,
key=lambda item: (
item["first_word_index"],
-item["leading_word_count"],
-item["coverage"],
-item["overlap_coverage"],
item["box_id"],
),
)
if (
beginning_match["first_word_index"] == 0
and (
beginning_match["leading_word_count"]
>= MULTI_BOX_BEGINNING_BOX_MIN_LEADING_WORDS
or beginning_match["coverage"] >= MULTI_BOX_BEGINNING_BOX_MIN_COVERAGE
)
and strongest_match["overlap_coverage"]
- beginning_match["overlap_coverage"]
<= MULTI_BOX_BEGINNING_BOX_OVERLAP_TOLERANCE
):
return beginning_match
tied_matches = [
item
for item in per_box_details
if strongest_match["overlap_coverage"] - item["overlap_coverage"]
<= MULTI_BOX_OVERLAP_TIE_TOLERANCE
]
return max(
tied_matches,
key=lambda item: (
item["leading_word_count"],
-item["first_word_index"],
item["matched_words"],
item["coverage"],
item["overlap_coverage"],
item["box_id"],
),
)
def box_detail_meets_single_box_threshold(
box_detail: dict[str, Any] | None,
) -> bool:
if box_detail is None:
return False
return (
box_detail["coverage"] >= MULTI_BOX_SINGLE_COLUMN_LOCATION_THRESHOLD
or box_detail["overlap_coverage"] >= MULTI_BOX_SINGLE_COLUMN_OVERLAP_THRESHOLD
)
def treat_multiple_row_as_single_box(per_box_details: list[dict[str, Any]]) -> bool:
best_match = best_box_detail_for_multiple_row(per_box_details)
return box_detail_meets_single_box_threshold(best_match)
def _fix_armenian_yev_at_join(prev: str, next_line: str) -> tuple[str, str]:
"""Replace ե-|վ split across a hyphenation boundary with the ligature և."""
if prev.endswith("ե") and next_line.startswith("վ"):
prev = prev[:-1] + "և"
next_line = next_line[1:]
return prev, next_line
def join_box_lines_with_hyphenation(
line_texts: list[str],
) -> tuple[str, frozenset[int]]:
"""Join lines, stripping line-end hyphens.
Returns (text, hyphen_join_word_indices) where hyphen_join_word_indices is
the set of word indices (in the space-normalised result) whose text was
formed by merging across a hyphen boundary. Callers that only need the
text can unpack with ``text, _ = join_box_lines_with_hyphenation(...)``.
"""
merged_lines: list[str] = []
words_before_current: int = 0 # word count of all finalized lines
hyphen_join_word_indices: set[int] = set()
for line_text in line_texts:
normalized_line = normalize_whitespace(line_text)
if not normalized_line:
continue
if merged_lines and merged_lines[-1].rstrip().endswith(
tuple(LINE_END_HYPHENS)
):
prev = merged_lines[-1].rstrip()[:-1]
next_line = normalized_line.lstrip()
prev, next_line = _fix_armenian_yev_at_join(prev, next_line)
words_in_prev = len(prev.split())
if words_in_prev > 0:
hyphen_join_word_indices.add(words_before_current + words_in_prev - 1)
merged_lines[-1] = prev + next_line
else:
if merged_lines:
words_before_current += len(merged_lines[-1].split())
merged_lines.append(normalized_line)
return "\n".join(merged_lines), frozenset(hyphen_join_word_indices)
def local_boxes_share_line(left: Box, right: Box) -> bool:
min_height = min(left.height, right.height)
if min_height <= 0:
return False
vertical_overlap = interval_overlap(
left.y_min, left.y_max, right.y_min, right.y_max
)
vertical_overlap_ratio = vertical_overlap / min_height
return vertical_overlap_ratio >= BOX_LINE_VERTICAL_OVERLAP_THRESHOLD
def horizontal_overlap_ratio(left: Box, right: Box) -> float:
min_width = min(left.width, right.width)
if min_width <= 0:
return 0.0
return (
interval_overlap(left.x_min, left.x_max, right.x_min, right.x_max)
/ min_width
)
def row_sequence_prefix(row_id: str) -> str:
parts = row_id.split("_", 1)
return parts[0]
def boxes_share_reading_row(left: Box, right: Box) -> bool:
min_height = min(left.height, right.height)
if min_height <= 0:
return False
vertical_overlap = interval_overlap(
left.y_min, left.y_max, right.y_min, right.y_max
)
return (vertical_overlap / min_height) >= READING_ORDER_ROW_OVERLAP_THRESHOLD
def boxes_share_reading_column(left: Box, right: Box) -> bool:
min_width = min(left.width, right.width)
if min_width <= 0:
return False
horizontal_overlap = interval_overlap(
left.x_min, left.x_max, right.x_min, right.x_max
)
return (
horizontal_overlap / min_width
) >= READING_ORDER_COLUMN_OVERLAP_THRESHOLD
def _group_items_spatially(
items: Sequence[Any],
box_getter: Any,
primary_axis: str,
) -> list[list[Any]]:
ltr = primary_axis == "x"
shares_band = boxes_share_reading_column if ltr else boxes_share_reading_row
primary_sort = (
(lambda b: (b.x_min, b.y_min, b.x_max, b.y_max))
if ltr
else (lambda b: (b.y_min, b.x_min, b.y_max, b.x_max))
)
secondary_sort = (
(lambda b: (b.y_min, b.x_min, b.y_max, b.x_max))
if ltr
else (lambda b: (b.x_min, b.x_max, b.y_min, b.y_max))
)
center = (
(lambda b: (b.x_min + b.x_max) / 2.0)
if ltr
else (lambda b: (b.y_min + b.y_max) / 2.0)
)
ordered_items = sorted(items, key=lambda item: primary_sort(box_getter(item)))
groups: list[dict[str, Any]] = []
for item in ordered_items:
item_box = box_getter(item)
best_group: dict[str, Any] | None = None
best_distance = float("inf")
for group in groups:
if not shares_band(group["box"], item_box):
continue
distance = abs(center(group["box"]) - center(item_box))
if distance < best_distance:
best_distance = distance
best_group = group
if best_group is None:
groups.append({"items": [item], "box": item_box})
else:
best_group["items"].append(item)
best_group["box"] = merge_boxes([best_group["box"], item_box])
return [
sorted(g["items"], key=lambda item: secondary_sort(box_getter(item)))
for g in sorted(groups, key=lambda g: primary_sort(g["box"]))
]
def group_items_left_to_right_top_to_bottom(
items: Sequence[Any], box_getter: Any
) -> list[list[Any]]:
return _group_items_spatially(items, box_getter, "x")
def flatten_text_units(text_units: list[str]) -> str:
flattened_units: list[str] = []
for text_unit in text_units:
unit_lines = split_text_lines(text_unit)
if not unit_lines:
continue
text, _ = join_box_lines_with_hyphenation(unit_lines)
flattened_units.append(text)
return "\n".join(flattened_units)
def detect_split_line_pair(
left_row: dict[str, Any],
right_row: dict[str, Any],
left_predicted_row: PredictedRow,
right_predicted_row: PredictedRow,
annotation_box: AnnotationBox,
) -> dict[str, Any] | None:
left_first_word, left_last_word = edge_words_in_box(
left_predicted_row, annotation_box
)
right_first_word, right_last_word = edge_words_in_box(
right_predicted_row, annotation_box
)
if (
left_first_word is None
or left_last_word is None
or right_first_word is None
or right_last_word is None
):
return None
left_last_local_box = left_last_word["local_box"]
right_first_local_box = right_first_word["local_box"]
vertical_overlap = interval_overlap(
left_last_local_box.y_min,
left_last_local_box.y_max,
right_first_local_box.y_min,
right_first_local_box.y_max,
)
min_height = min(left_last_local_box.height, right_first_local_box.height)
if min_height <= 0:
return None
vertical_overlap_ratio = vertical_overlap / min_height
if vertical_overlap_ratio < SPLIT_LINE_VERTICAL_OVERLAP_THRESHOLD:
return None
horizontal_gap = right_first_local_box.x_min - left_last_local_box.x_max
if horizontal_gap < (
-SPLIT_LINE_HORIZONTAL_OVERLAP_TOLERANCE_RATIO * min_height
):
return None
if horizontal_gap > SPLIT_LINE_MAX_GAP_HEIGHT_MULTIPLIER * max(
left_last_local_box.height,
right_first_local_box.height,
):
return None
return {
"box_id": annotation_box.box_id,
"left_row_id": left_row["row_id"],
"right_row_id": right_row["row_id"],
"horizontal_gap": round(horizontal_gap, 6),
"vertical_overlap_ratio": round(vertical_overlap_ratio, 6),
"left_row_text": left_row["row_text"],
"right_row_text": right_row["row_text"],
"left_last_word_text": left_last_word["text"],
"right_first_word_text": right_first_word["text"],
"left_last_word_box": left_last_word["global_box"],
"right_first_word_box": right_first_word["global_box"],
"left_last_word_local_box": local_box_to_list(left_last_local_box),
"right_first_word_local_box": local_box_to_list(right_first_local_box),
}
def split_line_row_order_key(
predicted_row: PredictedRow,
annotation_box: AnnotationBox,
) -> tuple[float, float, float, float, str]:
if not predicted_row.words:
return (
float("inf"),
float("inf"),
float("inf"),
float("inf"),
predicted_row.row_id,
)
local_bounds = box_to_local_bounds(row_box(predicted_row), annotation_box)
return (
local_bounds.x_min,
local_bounds.x_max,
local_bounds.y_min,
local_bounds.y_max,
predicted_row.row_id,
)
def order_words_in_box_context(
words: list[Word], annotation_box: AnnotationBox
) -> list[Word]:
return sorted(
list(words),
key=lambda word: (
point_to_box_local_coordinates(word.center, annotation_box)[0],
point_to_box_local_coordinates(word.center, annotation_box)[1],
word.box.x_min,
word.box.y_min,
),
)
def words_in_box(predicted_row: PredictedRow, annotation_box: AnnotationBox) -> list[Word]:
words = [
word
for word in predicted_row.words
if annotation_box.contains_point(word.center[0], word.center[1])
]
return order_words_in_box_context(words, annotation_box)
def sorted_row_words(predicted_row: PredictedRow) -> list[Word]:
return sorted(
predicted_row.words,
key=lambda word: (
word.box.y_min,
word.box.x_min,
word.box.x_max,
word.text,
),
)
def normalize_whitespace(text: str) -> str:
return " ".join(text.split())
def split_text_lines(text: str) -> list[str]:
return [
normalize_whitespace(line)
for line in text.splitlines()
if normalize_whitespace(line)
]