Calculating percentage of Bounding box overlap, for image detector evaluation

Question

In testing an object detection algorithm in large images, we check our detected bounding boxes against the coordinates given for the ground truth rectangles.

Accordi

Answer 1

For the intersection distance, shouldn't we add a +1 so as to have

intersection_area = (x_right - x_left + 1) * (y_bottom - y_top + 1)   

(same for the AABB)
Like on this pyimage search post

I agree (x_right - x_left) x (y_bottom - y_top) works in mathematics with point coordinates but since we deal with pixels it is I think different.

Consider a 1D example :
- 2 points : x1 = 1 and x2 = 3, the distance is indeed x2-x1 = 2
- 2 pixels of index : i1 = 1 and i2 = 3, the segment from pixel i1 to i2 contains 3 pixels ie l = i2 - i1 + 1