No, Slic3r is not suitable if I understand how that design works. IIUC it uses the same DLP chip (which has an array of micro-mirrors) that is used in some video projectors to project an entire slice at a time (in UV light) onto the surface of the UV cured plastic. Slic3r however builds up the shape of each slice by drawing a series of vectors. You will need software that slices the STL into a series of 2-D images rather than a series of lines (which is a far more simple operation than the one Slic3r achieves).
It looks very interesting, and I see there are full mechanical build instructions. The build size is however somewhat limited at under 60mm X 90mm
Dave
