I have cascaded shadow maps setup and working pretty well in my engine. I have large outdoor scenes and currently only one light (the sun) casting shadows. The problem is that when objects are high up, eg. right above the camera, it is outside the closest, highest detail cascade, and thus does not cast any shadows. My camera usually looks a bit down, since it's a third-person game I am making. How should I go about fixing this? Should I just make the cascades big enough to contain all objects in the scene? This, of course, would mean that the resolution of the cascades goes down.
The high-up objects are mostly static. Should I look into doing some sort of offline precalculated shadow data for these objects?