Thanks Henrik, I will try your hint to DiscretizeRegion.

My actual task is to draw a complex moving part (namely a gyroscope in some housing) together with its locus, orientation and additional information like forces and torques in a 3D animation. Therefore, the rendering must be very fast.

CSGRegion is great, although I don't really understand its necessity. It seems to be something like a combination of region construction operations like RegionUnion etc. and the representation of regions by Region[region]. But CSGRegion[region] seems to be more powerful in terms of representation.