Forming and Moulding
As I'm sure you are aware there are plenty of ways to mould and from plastics, I will deal with only the relevant ones here.
Line bending is exactly what it sounds like. Bending a flat panel in a single plane.
Polycarbonate can be bent in a panbreak/breakpress/metal folder.
In the gap is a heating element and the metal tubes are cooled with a flow of water. The acrylic sits on to until it is soft enough to fold. The closer the metal tubes are the tighter the radius of the bend will be and a reverse is true for a wide gap, to a point. A very sharp bend can be achieved by grooving the underside of the work piece with a V-bit in a router.
That's not much help if you don't have a line bended, with a hot air gun you can get very good results. In place of the metal tubes use some thick >5/8" MDF to insulate the acrylic and confine your heat, allow double the thickness of the material on top of the radius you want to bend and don't heat all the way to the MDF. You want a slow EVEN heating of the acrylic.
Heat like you are painting with a spray gun, don't make changes in direction over the material or you will over heat those spots. The ends require a bit less heat than the middle so vary your speed accordingly ie faster at the edges than in the middle. Anything thicker than 4.5mm or 3/16" will need to be heated on both sides. Use your MDF insulators as clamping bars so the middle is held not just the outer edges.
Remember SLOW EVEN heating. let the material form under its own weight, don't force the bend.
Complex curves, drape moulding and blowing domes and bubbles are all possible with household tools. I helped a mate blow mould some shaped windows for his panel van using a BBQ. If you want help just ask.