This paper describes an incremental polygonization technique for implicit surfaces built from skeletal elements. Our method lends itself for an interactive modeling system as the mesh is updated locally in regions of space where changes in the potential field occurred. We rely on an octree decomposition of space combined with Lipschitz conditions to recursively subdivide cells until a given level of precision is reached. Timings show that our incremental algorithm dramatically speeds up the overall polygonization process for complex objects. Keywords : implicit surfaces ; interactive modeling ; polygonization ; topology.