  We introduce a novel three dimensional Toom model on bcc lattice, and study
its physical properties. In low-noise limit, the model leads to an effective
solid-on-solid-type model, which exhibits a stationary interface via
depositions and evaporations with avalanche process. We find that the model is
described by the Edwards-Wilkinson equation for unbiased case and the
anisotropic-Kardar-Parisi-Zhang equation in the weak-coupling limit for biased
case. Thus the square of the surface width diverges logarithmically with space
and time for both unbiased and biased cases.
