Choosing variant in compile time

Is it possible (and how) to recognize boost::variant from which variant type comes from?

For example, I have two (or more) variants:

boost::variant<MyType1, MyType2> variant1;
boost::variant<MyType3, MyType4> variant2;

I want to write template functions that can somehow choose proper variant to get value.

template <class T>
T foo(boost::variant<MyType1, MyType2> variant1, boost::variant<MyType3, MyType4> variant2)
{
    return boost::get<T>(/*variant1 or variant2*/);
}

Is it possible?