Disclosed are methods, systems, and computer program products for performing grid morphing technique for computing a spreading of objects over an area such that the final locations of the objects are distributed over the area and such that the final locations of the objects are minimally perturbed from their initial starting locations and the density of objects meets certain constraints. The minimization of perturbation, or stability, of the approaches disclosed, is the key feature which is the principal benefit of the techniques disclosed. The methods described herein may be used as part of a tool for placement or floorplanning of logic gates or larger macroblocks for the design of an integrated circuit.