Shot 20 - How do you render when you using lattice deformers?

I have re - done setting up this scene so that the shapes can bend and swing properly. I have added lattice deformers to a few shapes but I don't know how to render them without them looking jagged?

Lattice Deformers

Rendered Image

Preparing for Character Demo Reel

Here is one normal render of my characters, the other images are wire frame on shaded textures. I'm struggling to find a color that stands out enough on the screen for the wire frame.

Normal render

Wire frame on shaded - RED

Wire frame on shaded - BLUE

Wire frame on shaded - YELLOW