Abstract: Methods for localized thinning of wafers used in semiconductor devices and the structures formed from such methods are described. The methods thin localized areas of the backside of the semiconductor wafer to form recesses with a bi-directional channel design that is repeated within the wafer (or die) so that no straight channel line crosses the wafer (or die). The bi-directional pattern design keeps the channels from being aligned with the crystal orientation of the wafer. The recesses are then filled by a solder ball drop process by dropping proper size solder balls into the recesses and then annealing the wafer to reflow the solder balls and flatten them out. The reflow process begins to fill in the recesses from the bottom up, thereby avoiding void formation and the resulting air traps in the reflowed solder material. Other embodiments are also described.