A computer-implemented method for stereoscopically displaying content includes determining a first position of an object within in a region of display space proximate to a stereoscopic display device and calculating a second position of a virtual object in the region. The method further includes determining an occluded portion of the virtual object that is occluded the object when the virtual object is disposed at the second position and causing the display device to stereoscopically render for display one or more portions of the virtual object that do not include the occluded portion. One advantage of the disclosed method is that a viewer can perform direct touch operations with stereoscopically displayed (3D) content with reduced visual discomfort.