1import numpy as np
2import cv2
3
4def order_points(pts):
5 # initialzie a list of coordinates that will be ordered
6 # such that the first entry in the list is the top-left,
7 # the second entry is the top-right, the third is the
8 # bottom-right, and the fourth is the bottom-left
9 rect = np.zeros((4, 2), dtype = "float32")
10 # the top-left point will have the smallest sum, whereas
11 # the bottom-right point will have the largest sum
12 s = pts.sum(axis = 1)
13 rect[0] = pts[np.argmin(s)]
14 rect[2] = pts[np.argmax(s)]
15 # now, compute the difference between the points, the
16 # top-right point will have the smallest difference,
17 # whereas the bottom-left will have the largest difference
18 diff = np.diff(pts, axis = 1)
19 rect[1] = pts[np.argmin(diff)]
20 rect[3] = pts[np.argmax(diff)]
21 # return the ordered coordinates
22 return rect
23
24def four_point_transform(image, pts):
25 # obtain a consistent order of the points and unpack them
26 # individually
27 rect = order_points(pts)
28 (tl, tr, br, bl) = rect
29 # compute the width of the new image, which will be the
30 # maximum distance between bottom-right and bottom-left
31 # x-coordiates or the top-right and top-left x-coordinates
32 widthA = np.sqrt(((br[0] - bl[0]) ** 2) + ((br[1] - bl[1]) ** 2))
33 widthB = np.sqrt(((tr[0] - tl[0]) ** 2) + ((tr[1] - tl[1]) ** 2))
34 maxWidth = max(int(widthA), int(widthB))
35 # compute the height of the new image, which will be the
36 # maximum distance between the top-right and bottom-right
37 # y-coordinates or the top-left and bottom-left y-coordinates
38 heightA = np.sqrt(((tr[0] - br[0]) ** 2) + ((tr[1] - br[1]) ** 2))
39 heightB = np.sqrt(((tl[0] - bl[0]) ** 2) + ((tl[1] - bl[1]) ** 2))
40 maxHeight = max(int(heightA), int(heightB))
41 # now that we have the dimensions of the new image, construct
42 # the set of destination points to obtain a "birds eye view",
43 # (i.e. top-down view) of the image, again specifying points
44 # in the top-left, top-right, bottom-right, and bottom-left
45 # order
46 dst = np.array([
47 [0, 0],
48 [maxWidth - 1, 0],
49 [maxWidth - 1, maxHeight - 1],
50 [0, maxHeight - 1]], dtype = "float32")
51 # compute the perspective transform matrix and then apply it
52 M = cv2.getPerspectiveTransform(rect, dst)
53 warped = cv2.warpPerspective(image, M, (maxWidth, maxHeight))
54 # return the warped image
55 return warped