Abstract: Human motion synthesis and control is an important research topic in computer graphics.Because of a large number of joints in a human body and the familiarity of people to their own movements, this problem is very challenging.In order to solve this problem, many researchers try to synthesize human motion in low-dimensional space by reducing the number of dimensionality of motion data or controlling the character movement by low-dimensional signal.Both of these techniques have achieved good results, but also with respective drawbacks.We review and summarize the latest research results of character animation in the reduced low-dimensional space, and also discuss the future trends of human animation generation on the basis of low-dimensional data.