1. A method, comprising: acquiring data corresponding to a subsurface, geological formation, wherein the acquired data includes data corresponding to a subsurface body having a certain geometry and a subsurface region; and directly inverting into an inversion domain at least part of the subsurface body geometry, wherein the direct inverting includes: partitioning the inversion domain into a first partitioned region, corresponding at least in part to the subsurface body, and a second partitioned region, and using a level set representation to parameterize the subsurface body geometry.