  The boundary Boltzmann weights are found by solving the boundary
star-triangle relations for the Fateev-Zamolodchikov and Kashiwara-Miwa models.
We calculate the surface free energies of the models. The critical surface
exponent \alpha_s of the Kashiwara-Miwa model is given and satisfies the
scaling relation \alpha_b=2\alpha_s-2, where \alpha_b is the bulk exponent.
