One illustrative method disclosed herein involves creating an overall target pattern that includes an odd-jogged feature with a crossover region that connects first and second line portions, wherein the crossover region has a first dimension in a first direction that is greater than a second dimension that is transverse to the first direction, decomposing the overall target pattern into a first sub-target pattern and a second sub-target pattern, wherein each of the sub-target patterns comprise a line portion and a first portion of the crossover region, and generating first and second sets of mask data corresponding to the first and second sub-target patterns, respectively.