1. A seismic horizon extracting system, comprising: a store that stores a set of seismic data; a horizon tracking component, coupled to the store, that sets one or more parameters to track a horizon based on the seismic data and propagates a horizon based on the seismic data to track the horizon using a monotonic function to control a path process that propagates the horizon, wherein the monotonic function is a confidence of each seed point along a path generated from the seismic data.