A nanofabrication method comprises receiving information regarding in-plane distortion of a substrate, modeling target out-of-plane displacement as a summation of a plurality of geometric modes represented by a linear combination of basis functions, generating a first drop pattern of formable material based on the modeled out-of-plane displacement, generating a second drop pattern by merging the first drop pattern with a drop pattern based on a topography of the template and the substrate; dispensing drops of formable material onto the substrate according to the second drop pattern, and contacting the dispensed drops with the template to form a film. The plurality of geometric modes are modified using a plurality of unique predetermined correction coefficients. Each unique predetermined correction coefficient represents a relationship between an analytically determined amount of in-plane distortion and an empirically determined amount of in-plane distortion.