I would like to add a little bit here, and try to make it as short as I can, but still understandable for those that don't have a lot of experience.
There is more to it that just the static compression ratio of the pistons. A lot of it has to do with detonation resistance of the enginewhich is really tied to the burn rate of the combustion chamber. The shape of the combustion chamber has everything to do with the burn rate. i.e. head chamber volume/shape, piston squish (quench) area, and how the air flows into the combustion chamber. The faster the burn rate and the better the air/fuel charge is mixed the detonation resistance increases. With a faster burn rate chamber you can use less timing for a set power goal, so the VE increases because of less pumping losses. The lower timing also reduces the chance of detonation.
Another important factor is the heads ability to wick heat away from the combustion chamber. Hot spots can cause detonation, and over expansion of components. Both will lead to severe engine damage.
Also, worth noting is effective compression ratio. The compression test numbers of a big cam motor vs a stock cam motor with the same pistons will be lower. The bigger cam will loose low end power, but will allow the engine to breath better at high RPM. This is very similar to lowering the compression ratio with dished pistons or a thicker head gasket, but with the added benefit of better VE at higher RPM. The lower effective compression ratio doesn't compress the charge as much, so you can run more boost before detonation starts to occur, which more than makes up for the loss in compression. Also, a bigger cam can leave more exhaust in the combustion chamber after the exhaust stroke. This is actually a good thing. If the exhaust is mixed into the incoming air/fuel charge, it actually lessens the chance of detonation by effectively increasing the octane rating of the fuel. This is similar to methanol/water injection.
There are a lot of different factors that play a role in making power, and finding the right balance for the engine you are working on is the difficult part.