How can I sort contours from left to right and top to bottom? [duplicate]

I don’t think you are going to be able to generate the contours directly in the correct order, but a simple sort as follows should do what you need:

First approach
Use a sort to first group by similar y values into row values, and then sorting by the x offset of the rectangle. The key is a list holding the estimated row and then the x offset.

The maximum height of a single rectangle is calculated to determine a suitable grouping value for nearest. The 1.4 value is a line spacing value. So for both of your examples nearest is about 70.

import numpy as np

c = np.load(r"rect.npy")
contours = list(c)

# Example - contours = [(287, 117, 13, 46), (102, 117, 34, 47), (513, 116, 36, 49), (454, 116, 32, 49), (395, 116, 28, 48), (334, 116, 31, 49), (168, 116, 26, 49), (43, 116, 30, 48), (224, 115, 33, 50), (211, 33, 34, 47), ( 45, 33, 13, 46), (514, 32, 32, 49), (455, 32, 31, 49), (396, 32, 29, 48), (275, 32, 28, 48), (156, 32, 26, 49), (91, 32, 30, 48), (333, 31, 33, 50)] 

max_height = np.max(c[::, 3])
nearest = max_height * 1.4

contours.sort(key=lambda r: [int(nearest * round(float(r[1]) / nearest)), r[0]])

for x, y, w, h in contours:
    print(f"{x:4} {y:4} {w:4} {h:4}") 
    

Second approach
This removes the need to estimate a possible line height and also allows for possible processing by line number:

1. Sort all the contours by their y-value.
2. Iterate over each contour and assign a line number for each.
3. Increment the line number when the new y-value is greater than max_height.
4. Sort the resulting by_line list which will be in (line, x, y, w, h) order.
5. A final list comprehension can be used to remove the line number if it is not required (but could be useful?)

# Calculate maximum rectangle height
c = np.array(contours)
max_height = np.max(c[::, 3])

# Sort the contours by y-value
by_y = sorted(contours, key=lambda x: x[1])  # y values

line_y = by_y[0][1]       # first y
line = 1
by_line = []

# Assign a line number to each contour
for x, y, w, h in by_y:
    if y > line_y + max_height:
        line_y = y
        line += 1
        
    by_line.append((line, x, y, w, h))

# This will now sort automatically by line then by x
contours_sorted = [(x, y, w, h) for line, x, y, w, h in sorted(by_line)]

for x, y, w, h in contours:
    print(f"{x:4} {y:4} {w:4} {h:4}")

Both would display the following output:

  36   45   33   40
  76   44   29   43
 109   43   29   45
 145   44   32   43
 184   44   21   43
 215   44   21   41
 241   43   34   45
 284   46   31   39
 324   46    7   39
 337   46   14   41
 360   46   26   39
 393   46   20   41
 421   45   45   41
 475   45   32   41
 514   43   38   45
  39  122   26   41
  70  121   40   48
 115  123   27   40
 148  121   25   45
 176  122   28   41
 212  124   30   41
 247  124   91   40
 342  124   28   39
 375  124   27   39
 405  122   27   43
  37  210   25   33
  69  199   28   44
 102  210   21   33
 129  199   28   44
 163  210   26   33
 195  197   16   44
 214  210   27   44
 247  199   25   42
 281  212    7   29
 292  212   11   42
 310  199   23   43
 340  199    7   42
 355  211   43   30
 406  213   24   28
 437  209   31   35
 473  210   28   43
 506  210   28   43
 541  210   17   31
  37  288   21   33
  62  282   15   39
  86  290   24   28
 116  290   72   30
 192  290   23   30
 218  290   26   41
 249  288   20   33