I hate to be the wet blanket, but trust me, none of these will work. That is unless you are very lucky and the radius of that curve is the same as something a security mirror company already produces.
Everything else will:
A: Make the problem worse than it already is
or
B: Be very expensive.
BTW, a shiny black piece of acrylic comes nowhere near the reflectivity of a true mirror coated optic (typically AlSiO) A mirrored optic will get you 95+ percent reflectivity in the visible spectrum. A highly polished piece of uncoated plastic will get you 3 or 4 percent tops. The image is projected into a lit room, but it is shaded by the construction of the unit. It was made this way to save money.
But this is only relevant in terms of image brightness. The real issue here is distortion. The tiniest deviation is going to result in a very distorted image. If you put heat to that thing, it will distort so badly that you will be lucky to even get an image in that spot.
If you want to know how I know all this stuff, visit
www.opd3d.com. My name is on a good chunk of that company's IP base (plus they give me a check once a week
)
RandyT