Embodiments disclosed herein provide systems and methods optimizing geometries. In one embodiment, a computer-implemented method is provided. The method includes receiving, at a programmed computing device, a geometry comprising a plurality of edges and selecting a set of edges from the plurality of edges based on an intersecting location in which two or more the edges intersect. For each edge of the set of edges, a density is determined that corresponds to the intersecting location for the set of edges. The method further includes determining a target density related to the intersecting location in view of an aggregate of the density associated with respective edges of the set of edges. The target density indicates a gradient of a falloff for the intersecting location.