Integration of a two-dimensional input device into a three-dimensional computing environment

A workstation enables operation of a 2D input device with a 3D interface. A cursor position engine determines the 3D position of a cursor controlled by the 2D input device as the cursor moves within a 3D scene displayed on a 3D display. The cursor position engine determines the 3D position of the cursor for a current frame of the 3D scene based on a current user viewpoint, a current mouse movement, a CD gain value, a Voronoi diagram, and an interpolation algorithm, such as the Laplacian algorithm. A CD gain engine computes CD gain optimized for the 2D input device operating with the 3D interface. The CD gain engine determines the CD gain based on specifications for the 2D input device and the 3D display. The techniques performed by the cursor position engine and the techniques performed by the CD gain engine can be performed separately or in conjunction.