Say, we want to convolve a `7 X 7`

image with a `3 X 3`

filter with a stride length of `2`

. What's the final size of the output?

Before going to the equation, let's lay down some definitions:

- the image is of size
`n X n`

- the filter is of size
`f X f`

- the padding is of size
`p`

- the stride is of length
`s`

The output size will be:

$$\lfloor \frac{n + 2p - f} {s} + 1 \rfloor \times \lfloor \frac{n + 2p - f} {s} + 1 \rfloor$$

Note: Should the fractionnotbe an integer, we'll have to round it down.

And since:

`n = 7`

`f = 3`

`p = 0`

`s = 2`

This give us `3 X 3`

because:

$$\lfloor \frac{7 + 0 - 3} {2} + 1 \rfloor \times \lfloor \frac{7 + 0 - 3} {2} + 1 \rfloor = 3 \times 3$$

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