1. A three dimensional (3D) drawing method for immersing a user in an interactive 3D experience, comprising: in response to first signals from a controller, projecting a stereoscopic 3D image of the user on a projection screen; with a position tracking mechanism, determining a set of 3D positions of a drawing instrument positionable by the user, during a drawing time period, relative to the 3D image and proximate but spaced apart from the projection screen; storing the set of determined 3D positions in memory accessible by a controller; with the controller, generating a 3D drawing image based on the set of determined 3D positions; and in response to second signals from the controller, projecting a mixed stereoscopic 3D image, on the projection screen, that comprises a blending of the projected stereoscopic 3D image of the user and the 3D drawing image, wherein the projected stereoscopic 3D image of the user comprises a first set of left and right eye images, wherein the projected mixed stereoscopic 3D image comprises a second set of left and right eye images differing from the first set of left and right images, wherein the projecting of the mixed stereoscopic 3D image is performed concurrently with the tracking of the 3D positions of the drawing instrument, and wherein the 3D drawing image is processed to include left and right images mapped to the right and left eye images of the 3D image of the user, whereby portions of the 3D drawing image behind the projected stereoscopic 3D image of the user are occluded from view by the user.