A microscope system (4) for the observation of dynamic processes comprises a microscope (50) having at least one detector (19), and a computer (34). A buffer memory (54) precedes a comparator (58) that compares image contents of at least two successive image frames (56.sub.k and 56.sub.k+1). Depending on the result obtained from the comparator (58), the image frames are stored in different segments of a data structure (66) that is provided.