Exercise

# Intersection of the union

Another cost function is the intersection of the union (IOU). The IOU is the number of pixels filled in both images (the *intersection*) out of the number of pixels filled in either image (the *union*).

For this exercise, determine how best to transform `im1`

to **maximize** the IOU cost function with `im2`

. We have defined the following function for you:

```
def intersection_of_union(im1, im2):
i = np.logical_and(im1, im2)
u = np.logical_or(im1, im2)
return i.sum() / u.sum()
```

*Note: When using ndi.rotate(), remember to pass reshape=False, so that array shapes match.*

Instructions

**50 XP**

##### Possible Answers

- Shift (-10, -10), rotate -15 deg.
- Shift (10, 10), rotate -15 deg.
- Shift (10, 10), rotate +15 deg.
- Shift (-10, -10), rotate +15 deg.