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chore: import upstream snapshot with attribution
2026-07-13 13:33:56 +08:00

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from typing import List
import numpy as np
from numba import njit
from unstructured.utils import requires_dependencies
"""
This module contains the implementation of the XY-Cut sorting approach
from: https://github.com/Sanster/xy-cut
"""
@njit(cache=True)
def projection_by_bboxes(boxes: np.ndarray, axis: int) -> np.ndarray:
"""
Obtain the projection histogram through a set of bboxes and finally output it in per-pixel form
Args:
boxes: [N, 4]
axis: 0 - x coordinates are projected in the horizontal direction, 1 - y coordinates
are projected in the vertical direction
Returns:
1D projection histogram, the length is the maximum value of the projection direction
coordinate (we dont need the actual side length of the picture because we just
want to find the interval of the text box)
"""
assert axis in [0, 1]
length = np.max(boxes[:, axis::2])
res = np.zeros(length, dtype=np.int64)
for i in range(boxes.shape[0]):
start = boxes[i, axis]
end = boxes[i, axis + 2]
for j in range(start, end):
res[j] += 1
return res
# from: https://dothinking.github.io/2021-06-19-%E9%80%92%E5%BD%92%E6%8A%95%E5%BD%B1
# %E5%88%86%E5%89%B2%E7%AE%97%E6%B3%95/#:~:text=%E9%80%92%E5%BD%92%E6%8A%95%E5%BD%B1
# %E5%88%86%E5%89%B2%EF%BC%88Recursive%20XY,%EF%BC%8C%E5%8F%AF%E4%BB%A5%E5%88%92
# %E5%88%86%E6%AE%B5%E8%90%BD%E3%80%81%E8%A1%8C%E3%80%82
@njit(cache=True)
def split_projection_profile(arr_values: np.ndarray, min_value: float, min_gap: float):
"""Split projection profile:
```
┌──┐
arr_values │ │ ┌─┐───
┌──┐ │ │ │ │ |
│ │ │ │ ┌───┐ │ │min_value
│ │<- min_gap ->│ │ │ │ │ │ |
────┴──┴─────────────┴──┴─┴───┴─┴─┴─┴───
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
```
Args:
arr_values (np.array): 1-d array representing the projection profile.
min_value (float): Ignore the profile if `arr_value` is less than `min_value`.
min_gap (float): Ignore the gap if less than this value.
Returns:
tuple: Start indexes and end indexes of split groups.
"""
# all indexes with projection height exceeding the threshold
arr_index = np.where(arr_values > min_value)[0]
if not len(arr_index):
return None
# find zero intervals between adjacent projections
# | | ||
# ||||<- zero-interval -> |||||
arr_diff = arr_index[1:] - arr_index[0:-1]
arr_diff_index = np.where(arr_diff > min_gap)[0]
arr_zero_intvl_start = arr_index[arr_diff_index]
arr_zero_intvl_end = arr_index[arr_diff_index + 1]
# convert to index of projection range:
arr_start = np.empty(arr_zero_intvl_end.shape[0] + 1, dtype=arr_zero_intvl_end.dtype)
arr_end = np.empty(arr_zero_intvl_start.shape[0] + 1, dtype=arr_zero_intvl_start.dtype)
arr_start[0] = arr_index[0]
for i in range(arr_zero_intvl_end.shape[0]):
arr_start[i + 1] = arr_zero_intvl_end[i]
for i in range(arr_zero_intvl_start.shape[0]):
arr_end[i] = arr_zero_intvl_start[i]
arr_end[-1] = arr_index[-1]
arr_end += 1 # end index will be excluded as index slice
return arr_start, arr_end
def recursive_xy_cut(boxes: np.ndarray, indices: np.ndarray, res: List[int]):
"""
Args:
boxes: (N, 4)
indices: during the recursion process, the index of box in the original data
is always represented.
res: save output
"""
# project to the y-axis
assert len(boxes) == len(indices)
_indices = boxes[:, 1].argsort()
y_sorted_boxes = boxes[_indices]
y_sorted_indices = indices[_indices]
# debug_vis(y_sorted_boxes, y_sorted_indices)
y_projection = projection_by_bboxes(boxes=y_sorted_boxes, axis=1)
pos_y = split_projection_profile(y_projection, 0, 1)
if not pos_y:
return
arr_y0, arr_y1 = pos_y
for r0, r1 in zip(arr_y0, arr_y1):
# [r0, r1] means that the areas with bbox will be divided horizontally, and these areas
# will be divided vertically.
_indices = (r0 <= y_sorted_boxes[:, 1]) & (y_sorted_boxes[:, 1] < r1)
y_sorted_boxes_chunk = y_sorted_boxes[_indices]
y_sorted_indices_chunk = y_sorted_indices[_indices]
_indices = y_sorted_boxes_chunk[:, 0].argsort()
x_sorted_boxes_chunk = y_sorted_boxes_chunk[_indices]
x_sorted_indices_chunk = y_sorted_indices_chunk[_indices]
# project in the x direction
x_projection = projection_by_bboxes(boxes=x_sorted_boxes_chunk, axis=0)
pos_x = split_projection_profile(x_projection, 0, 1)
if not pos_x:
continue
arr_x0, arr_x1 = pos_x
if len(arr_x0) == 1:
# x-direction cannot be divided
res.extend(x_sorted_indices_chunk)
continue
# can be separated in the x-direction and continue to call recursively
for c0, c1 in zip(arr_x0, arr_x1):
_indices = (c0 <= x_sorted_boxes_chunk[:, 0]) & (x_sorted_boxes_chunk[:, 0] < c1)
recursive_xy_cut(
x_sorted_boxes_chunk[_indices],
x_sorted_indices_chunk[_indices],
res,
)
def recursive_xy_cut_swapped(boxes: np.ndarray, indices: np.ndarray, res: List[int]):
"""
Args:
boxes: (N, 4) - Numpy array representing bounding boxes with shape (N, 4)
where each row is (left, top, right, bottom)
indices: An array representing indices that correspond to boxes in the original data
res: A list to save the output results
"""
# Sort the bounding boxes based on x-coordinates (flipped)
assert len(boxes) == len(indices)
_indices = boxes[:, 0].argsort()
x_sorted_boxes = boxes[_indices]
x_sorted_indices = indices[_indices]
# Project the boxes onto the x-axis and split the projection profile
x_projection = projection_by_bboxes(boxes=x_sorted_boxes, axis=0)
pos_x = split_projection_profile(x_projection, 0, 1)
if not pos_x:
return
arr_x0, arr_x1 = pos_x
# Loop over the segments obtained from the x-axis projection
for c0, c1 in zip(arr_x0, arr_x1):
# Obtain sub-boxes in the x-axis segment
_indices = (c0 <= x_sorted_boxes[:, 0]) & (x_sorted_boxes[:, 0] < c1)
x_sorted_boxes_chunk = x_sorted_boxes[_indices]
x_sorted_indices_chunk = x_sorted_indices[_indices]
# Sort the sub-boxes based on y-coordinates (flipped)
_indices = x_sorted_boxes_chunk[:, 1].argsort()
y_sorted_boxes_chunk = x_sorted_boxes_chunk[_indices]
y_sorted_indices_chunk = x_sorted_indices_chunk[_indices]
# Project the sub-boxes onto the y-axis and split the projection profile
y_projection = projection_by_bboxes(boxes=y_sorted_boxes_chunk, axis=1)
pos_y = split_projection_profile(y_projection, 0, 1)
if not pos_y:
continue
arr_y0, arr_y1 = pos_y
if len(arr_y0) == 1:
# If there's no splitting along the y-axis, add the indices to the result
res.extend(y_sorted_indices_chunk)
continue
# Recursive call for sub-boxes along the y-axis segments
for r0, r1 in zip(arr_y0, arr_y1):
_indices = (r0 <= y_sorted_boxes_chunk[:, 1]) & (y_sorted_boxes_chunk[:, 1] < r1)
recursive_xy_cut_swapped(
y_sorted_boxes_chunk[_indices],
y_sorted_indices_chunk[_indices],
res,
)
def points_to_bbox(points):
assert len(points) == 8
# [x1,y1,x2,y2,x3,y3,x4,y4]
left = min(points[::2])
right = max(points[::2])
top = min(points[1::2])
bottom = max(points[1::2])
left = max(left, 0)
top = max(top, 0)
right = max(right, 0)
bottom = max(bottom, 0)
return [left, top, right, bottom]
def bbox2points(bbox):
left, top, right, bottom = bbox
return [left, top, right, top, right, bottom, left, bottom]
@requires_dependencies("cv2")
def vis_polygon(img, points, thickness=2, color=None):
import cv2
br2bl_color = color
tl2tr_color = color
tr2br_color = color
bl2tl_color = color
cv2.line(
img,
(points[0][0], points[0][1]),
(points[1][0], points[1][1]),
color=tl2tr_color,
thickness=thickness,
)
cv2.line(
img,
(points[1][0], points[1][1]),
(points[2][0], points[2][1]),
color=tr2br_color,
thickness=thickness,
)
cv2.line(
img,
(points[2][0], points[2][1]),
(points[3][0], points[3][1]),
color=br2bl_color,
thickness=thickness,
)
cv2.line(
img,
(points[3][0], points[3][1]),
(points[0][0], points[0][1]),
color=bl2tl_color,
thickness=thickness,
)
return img
@requires_dependencies("cv2")
def vis_points(
img: np.ndarray,
points,
texts: List[str],
color=(0, 200, 0),
) -> np.ndarray:
"""
Args:
img:
points: [N, 8] 8: x1,y1,x2,y2,x3,y3,x4,y4
texts:
color:
Returns:
"""
import cv2
points = np.array(points)
assert len(texts) == points.shape[0]
for i, _points in enumerate(points):
vis_polygon(img, _points.reshape(-1, 2), thickness=2, color=color)
bbox = points_to_bbox(_points)
left, top, right, bottom = bbox
cx = (left + right) // 2
cy = (top + bottom) // 2
txt = texts[i]
font = cv2.FONT_HERSHEY_SIMPLEX
cat_size = cv2.getTextSize(txt, font, 0.5, 2)[0]
img = cv2.rectangle(
img,
(cx - 5 * len(txt), cy - cat_size[1] - 5),
(cx - 5 * len(txt) + cat_size[0], cy - 5),
color,
-1,
)
img = cv2.putText(
img,
txt,
(cx - 5 * len(txt), cy - 5),
font,
0.5,
(255, 255, 255),
thickness=1,
lineType=cv2.LINE_AA,
)
return img
def vis_polygons_with_index(image, points):
texts = [str(i) for i in range(len(points))]
res_img = vis_points(image.copy(), points, texts)
return res_img