Virtual Environment (VE) is a simulation environment,which fuses much
information of cyber-soace to make the effect of immersion and interaction. To interact
the virtual objects in VE , a series of geometric transformation should be offered .This
paper studies the geometric transformation procedure,which exists in the coordinate
system of VE. Especially, the research of fusing the information of the hand space and
stereoscopic vision in virtual space is given.It assures the harmony of the interaction
between human and the computer.