Keeping a texture map in place through a radial blend

[LuckyNotLucky]

If I map an image to a rectangle, say a paperback book cover, and I want to turn back a corner of the cover using radial bend, how can I keep the mapping "baked" on to the geometry? I've tried various combinations of flat mapping, UV mapping, surface object, (very thin) solid object... As soon as I deform it the texture remaps in un-useful ways.

Thanks in advance.

[johnalexander1571]

If I remember correctly, you want to mesh your flat cover, then map the meshed cover, and then do the radial bend.