In this abstract, we propose a new method to control the propagation stopping condition locally for asynchronous binary propagation networks. Additional switches are introduced to the Wired-OR pull-down path branches, where the switches are controlled by logic gate outputs receiving their inputs from the PE outputs in the neighborhood. An example for a 1-D case for object center pixel extraction is given with simulation results and with three neighborhood connection topologies for the new stopper circuitry. The properties of these three variants are also discussed from the end result point of view.