Examples of the disclosed systems and methods may provide for improved and more realistic rendering of virtual characters and a more realistic interaction between a user and virtual characters. For example, the systems and methods describe techniques for mathematically generating a map used for animating facial expressions in a multidimensional animation blendspace. As another example, the systems and methods describe a transition system for dynamically transitioning facial expressions across a face of the virtual character. As another example, realistic physical movements can be added to a virtual character's facial expressions to provide interactivity with other virtual characters.