Construo misses pieces of input

[daBrado]

Construo seems to "miss" pieces of input data, resulting in gaps in the output quadtree. It is like there are "gaps" between nodes of the quadtree, and if a piece of an input image falls into the gap and doesn't make it all the way into the next quadtree node, that piece gets lost.
Not the best description, but I don't fully understand the problem, obviously.