  Large CP violation is an interesting phenomenon both theoretically and
experimentally. Last year, LHCb Collaboration found in some three-body decays
of bottom mesons that large CP violations appear in regions of the Dalitz plots
that are not dominated by contributions from narrow resonances. In this paper,
we present a mechanism which can induce such kind of large CP violations. In
this mechanism, large localized CP asymmetries in phase space can be induced by
the interference of two intermediate resonances with different spins. We also
apply this mechanism to the decay channel $B^\pm\to K^\pm \pi^+\pi^-$.
