Geometry and light predictions are accomplished by placing a virtual camera representing each real world projector in the software’s 3D space, whose X, Y, Z, heading, pitch, roll and lens characteristics closely match that of the real world projector lens. So long as the geometry of the 3D model accurately matches that of the real world object, you will accomplish an accurate reflection of that camera’s view of the textured software model back onto the real world object.

Texturing the model means defining how 2D content will be applied to a 3D mesh of faces.  DeltaServer supports both explicit UV maps (a list embedded in the .obj model file, defining relationships between 2D canvas x,y percent positions to 3D points on the model), as well as eyepoint-based virtual projection.

A 3D model is a system of co-ordinates (‘nodes’ or ‘vertices’) joined in a mesh. The co-ordinates take as their reference a zero-point (or origin) within (or outside) the model of the reference object. The model can be rotated and viewed from any angle, but when used for projection mapping, the designer will take a chosen viewpoint (or eyepoint) that ‘projects’ an orientation from which the object will be viewed.

Because the designer’s reference point is the origin of the model, the media effectively represents what the origin of the model would see in a mirror. For better and sharper results, the media can be displayed over several projectors, and it may be better to split a complex mesh model into more manageable pieces for those projectors, but projection mode still assumes that the designer and viewer are both looking at the media-painted object from the same view of the model.

Just as the 3D model can be rotated and viewed from any angle, so the viewer can either move around the model, or the object can be rotated, and the media will ‘stick to’ and move precisely with the object.

Here is a demonstration model of a totem head with easy-to-identify surfaces.

The 3D model is constructed in the same way, but its entire external surface is notionally ‘peeled off’ or unfolded onto a flat surface. This surface is ‘painted’ by the designer to create specially rendered 2D media. Whilst the object and model are described in X × Y × Z axes, the surface is described in the 2D U × V axes, hence UV-rendered or mapped media.

In this illustration a simple cube demonstrates the theory of what can be actually a more complex mapping, as in the ‘totem head’ example used here.

For the designer, all viewpoints now are perpendicular to the model/object surface, rather than, say an oblique view of the side of a cube. In textured mode, the characteristics of the mesh model surface are ‘baked’ into the flat media, which is then folded back onto the model in the projection.

Compare this UV-mapped media frame with the one used above for projection mode. The top row of faces are projected on the other side of the object, either by rotating the object into projector view, or by providing all-round channel coverage.

The reason this media does not look simply unfolded as in the cube above, is that this would create a lot of empty space in every frame. Instead, the elements are packed into the 2D space, with mapped coordinates that are used to place them on the target object or canvas.

This is how the UV media looks in the Playback Window when ‘folded’ or positioned back onto the model, as seen from a single channel. The yellow lines show the model origin (X,Y,Z = 0,0,0); red, green and blue are the X, Y, Z axes.