How to crop a square image from normalized vertices - python-3.x

Question

I'm using this code to identify tops and bottoms of photographs:
( as of now I only have it working for tops. one thing at a time ;) )
def get_file(path):
client = vision.ImageAnnotatorClient()
for images in os.listdir(path):
# # Loads the image into memory
with io.open(images, "rb") as image_file:
content = image_file.read()
image = types.Image(content=content)
objects = client.object_localization(image=image).localized_object_annotations
im = Image.open(images)
width, height = im.size
print("Number of objects found: {}".format(len(objects)))
for object_ in objects:
if object_.name == "Top":
print("Top")
l1 = object_.bounding_poly.normalized_vertices[0].x
l2 = object_.bounding_poly.normalized_vertices[0].y
l3 = object_.bounding_poly.normalized_vertices[2].x
l4 = object_.bounding_poly.normalized_vertices[3].y
left = l1 * width
top = l2 * height
right = l3 * width
bottom = l4 * height
im = im.crop((left, top, right, bottom))
im.save('new_test_cropped.tif', 'tiff')
im.show()
if __name__ == '__main__':
parser = argparse.ArgumentParser(description="Script to automatically crop images based on google vision predictions of 'tops' and 'bottoms'")
parser.add_argument('--path', help='Include the path to the images folder')
args = parser.parse_args()
get_file(args.path)
The images are opened, clothing is identified, and then the images are cropped and saved to a new file. (granted as of now they are being overwritten within the loop, but I'll fix that later)
What I cant figure out, is how to make the crop a 1:1 ratio. I need to save them out as square-cropped to be put on our website.
I'll be honest, the normalized_vertices make no sense to me. Hence why I'm having trouble.
Starting image:
Output:
Desired Output:

Answer 1

"Normalized" means the coordinates are divided by the width or height of the image, so normalized coordinates [1, 0.5] would indicate all the way (1) across the image and halfway down (0.5).
For a 1:1 aspect ratio you want right - left to be equal to top - bottom. So you want to find out which dimension (width or height) you need to increase, and by how much.
height = abs(top - bottom)
width = abs(right - left)
extrawidth = max(0, height - width)
extraheight = max(0, width - height)
If height > width, we want to increase width but not height. Since height - width > 0, the correct value will go into extrawidth. But because width - height < 0, extraheight will be 0.
Now let's say we want to increase the dimensions of our image symmetrically around the original crop rectangle.
top -= extraheight // 2
bottom += extraheight // 2
left -= extrawidth // 2
right += extrawidth // 2
And finally, do the crop:
im = im.crop((left, top, right, bottom))
For your image, let's say you get left = 93, right = 215, top = 49, and bottom = 205
Before:
After: