Fillomino 8: Checkered

Start from the center. There are only a few ways that the four an be placed without the ones forcing it to grow far too large (so as to avoid the creation of a T-intersection), and all such placements apart from one force the eight to grow far too large.

Once the four is resolved, most of the eight falls in place as well. The eight then separates the two sevens in the top right, and the solve proceeds smoothly after that.

Complete solution: