A Little Bit O' Explanation Above is a little diagram outlining the measurements involved in the calibration of the Sony and Davis projectors used for this project. This equipment was acquired by Professor Levoy during his experiments with colorprojection systems on the Stanford home campus, and was later shipped to Florence along with materials required for the Digital Michelangelo Project. After meeting with Prof. Levoy, we decided to place the Davis Projector directly facing the statue, while the Sony Projector was aligned with Lucy's left side. The reason for this decision is that the Davis Projector has a larger field of view, while the Sony's telephoto lens allows an undistorted projection onto the nonplanar mass of the angel's arm, torso, and wing (1). One problem posed by these projectors is that they generate oblique offaxis projections, a function of their having been designed for placement on a classroom ceiling. In order to incorporate the projectors into the project, we needed to quantitatively determine the nature of the offaxis projections they generated. In particular, we calculated the fractional value YOffset/E. The appropriate measurements were gathered by projecting an image onto a (supposedly) vertical wall and using a measuring tape to gather the necessary data. It is important to note that, as the projected image was trapezoidal as opposed to rectangular, we also conducted an examination of the pixel aspect ratio of each projector. 
A Little Bit O' Trigonometry A^{2} = G^{2} + F^{2} 2GF * cos(Theta) cos(Phi) = E / G (A/2) + YOffset = G * sin(Phi) sin^{2}(Phi) + cos^{2}(Phi) = 1 sin(Phi) = [1cos^{2}(Phi)]^{1/2} (A/2) + YOffset = G * [1cos^{2}(Phi)]^{1/2} YOffset = (G *[1cos^{2}(Phi)]^{1/2})  (A/2) YOffset = (G *[1(E^{2}/G^{2})]^{1/2})  (A/2) YOffset = (G^{2}E^{2})^{1/2}  (A/2) EUREKA!

The Davis Projector (800 X 600): Measurements

The Sony Projector (1024 X 768): Measurements

After we calculated this information, we were able to utilize the graphical program known as Scanalyze, which was written by members of the Digital Michelangelo Project to facilitate the construction of 3D meshes. By inputting Lucy's mesh into Scanalyze, we could align the program's virtual camera to produce an image that perfectly reflected the physical locations of the projector and of the statue itself. By piping this Scanalyze image into the projector, we mapped an image of the Lucy directly onto her physical geometry.
The Generation of a Scanalyze Image: Necessary Considerations
