Careful now @raschemmel ...
That diagram refers to a 5-wire stepper. In 4 wire steppers (which are more common) there are only two coils and the current is reversed in them and they can be driven with a H-bridge - just not nearly as effectively as using a proper stepper motor driver board.
And, incidentally, most of the "proper" stepper motor driver boards can't drive 5-wire steppers.
...R